Organizing cables in complex arrangements to achieve specific cable ampacities

Abstract

Various systems, devices, articles of manufacture, and methods for organizing cables in complex arrangements are provided. In some implementations, devices that organize cables in complex arrangements for large-scale deployment in energy generation and transmission infrastructures are provided. Methods are provided that can calculate cable ampacity and support device surface area based on cable arrangement variables, such as ambient temperatures, cable diameters, quantity of cables, quantity of cable saddles, angles of cables, and separation distances between cables.

Description

ORGANIZING CABLES IN COMPLEX ARRANGEMENTS TO ACHIEVE SPECIFIC CABLE AMPACITIESCROSS-REFERENCE TO RELATED APPLICATIONS

[0001] The present application claims priority under 35 U.S.C. § 119(e) to U.S. Provisional Patent Application Number 63 / 499,372 titled ‘ SYSTEMS AND METHODS FOR DETERMINING CABLE AMPACITY FOR CABLES ORGANIZED IN COMPLEX ARRANGEMENTS'’, filed on May 1, 2023, U.S. Provisional Patent Application Number 63 / 628.946 titled “METHODS FOR DETERMINING OPTIMIZED CABLE ARRANGEMENTS FOR SPECIFIC CABLE AMPACITIES”, filed on August 31, 2023, U.S. Provisional Patent Application Number 63 / 628,947 titled “METHOD FOR ORGANIZING CABLES IN COMPLEX ARRANGEMENTS TO ACHIEVE SPECIFIC CABLE AMPACITIES”, filed on August 31, 2023, the entire contents of which are hereby expressly incorporated by reference herein.FIELD

[0002] The present application generally relates to power cable arrangements, and more specifically, to large-scale solar energy generation power cables organized in complex arrangements, and methods for organizing cables in complex arrangements to achieve specific cable ampacities.BACKGROUND

[0003] Energy production and transmission infrastructures utilize a variety of cable types to convey electrical current, and / or signal data from source facilities to consumer locations. In large-scale solar energy generation plants, cables can convey electrical current and signal data from solar panels to other production and / or transmission equipment within the plant. The cables can be arranged in underground or above-ground configurations. Above-ground cable configurations allow for cables (e.g., DC power cables on large-scale solar energy generation plants) to be organized in a bundle or in more complex arrangements. In an aspect, DC power cables are required to be positioned above the ground such that the power cables avoid any vegetation as well as risks associated with flood zones or other wet areas. Furthermore, the method in which the cables are organized (e g., bundled) will determinehow much current the cable can carry (the “ampacity” of the cable). Ampacity is defined as the maximum amount of electric current that a cable can safely carry without exceeding its temperature rating or causing any adverse effects. In an aspect, bundling cables together can reduce the ampacity such that the National Electrical Code (NEC) requires that an 80% adjustment factor is applied when four (4) or more DC power cables are bundled together. The adjustment factor is primarily due to a lack of air flow around the cables and relatively high heat transfer between cables when in close proximity with each other, which combine to reduce the performance (e.g., ampacity) of the DC power cables. Therefore, while it is undesirable to closely bundle the cables in view of the required adjustment factors, it is also undesirable to space the cables from one another at unnecessary large distances, which could otherwise cause the cables to extend into the flood areas of the projects and / or require large support devices and bracketry.

[0004] Typical methods used to arrange cables (e.g., DC power cables used in solar power installations) include bundling the cables together such that there is continuous contact path between all of the cables. However, this restricts airflow to the center cables in the bundle and in turn causes an increase in heat transfer between cables and / or an increase in the temperature of each cable, either of which reduces the cable ampacity. Other ty pical methods generally involve arranging cables such that there is a distance bet een adjacent cables of at least one cable diameter. However, this method is undesirable because it requires hardware and bracketry that is relatively large, heavy, and expensive.

[0005] Furthermore, in addition to the methods for arranging cables, the method to determine the ampacity of these cables in these types of arrangements or any other arrangement is limited. In an aspect, atypical method used to determine the ampacity of DC Power Cables in an above ground configuration includes referring to generic tables in the National Electrical Code Standard (NEC), which often lack details required determine cable ampacity in a given cable arrangement. In particular, the NEC includes guidelines for spacing cables out horizontally in a cable tray by a single cable diameter to achieve a certain ampacity. However, the NEC doesn’t include guidance for spacing cables out vertically, which would be required to optimize a given cable arrangement.

[0006] With limited methods for arranging cables and determining the ampacity of the cables in a given arrangement, typical support devices (e.g., hangers, cable trays, raceways) areoften over-designed to encourage greater ampacity than is actually required. Therefore, the support devices are usually expensive, heavy, and often not reusable in future projects.

[0007] Accordingly, it is desirable for devices and methods for organizing cables that overcome these deficiencies.SUMMARY

[0008] Methods and devices for organizing cables in complex arrangements to achieve target cable ampacities are provided.

[0009] In an aspect, a method for organizing cables is provided. The method includes determining a target cable ampacity at a predetermined temperature. The method further includes positioning a first set of cables on a first arm of a cable organizing device, with the first set of cables being adjacent and tangent to each other at a first angle relative to a reference plane, and the first set of cable including at least two cables. The method also includes positioning a second set of cables on a second arm of the cable organizing device, with the first set of cables being adjacent and tangent to each other at a second angle relative to the reference plane. The second set of cables are separated from the first set of cables by a first distance. The method further includes positioning a third set of cables on a third arm of the cable organizing device, with the third arm being a mirror of and extending opposite the first arm. The third set of cables are separated from the first set of cables by at least a second distance along an axis parallel to the reference plane. The method still further includes positioning a fourth set of cables on a fourth arm of the cable organizing device, with the fourth arm being a mirror of and extending opposite to the second arm. The fourth set of cables being separated from the second set of cables by at least the second distance. One or more of the following features can be combined in any feasible combination.

[0010] The method described can vary in any number of ways. In an aspect, the first angle can be about 34° ± 5°, the second angle can be about 15° ± 5°, the first distance can be about 0.56 in. ± 0.25 in., the second distance can be about 0.24 in. ± 0.125 in., the target cable ampacity can be about 433 amps ± 50 amps, and the predetermined temperature can be about 35 °C ± 5 °C.

[0011] In an aspect, the first angle can be about 35° ± 5°, the second angle can be about 18° ± 5°, the first distance can be about 0.46 in. ± 0.25 in., the second distance can be about 0.24 in. ± 0.125 in., the target cable ampacity can be about 455 amps ± 50 amps, and the predetermined temperature can be about 35 °C ± 5 °C.

[0012] In an aspect, the first angle can be about 35° ± 5°, the second angle can be about 21° ± 5°, the first distance can be about 0.46 in. ± 0.25 in., the second distance can be about 0.24 in. ± 0. 125 in., the target cable ampacity can be about 500 amps ± 50 amps, and the predetermined temperature can be about 35 °C ± 5 °C.

[0013] In an aspect, the method can include positioning a fifth set of cables on a fifth arm of the cable organizing device, with the fifth set of cables being adjacent and tangent to each other at a third angle relative to the reference plane. The fifth set of cables can be separated from the second set of cables by a third distance. The method can further include positioning a sixth set of cables on a sixth arm of the cable organizing device, with the sixth arm being a mirror of and extending opposite to the fifth arm. The sixth pair of cables can be separated from the fifth pair of cables by at least the second distance.

[0014] In an aspect, the first angle can be about 34° ± 5°, the second angle can be about 16° ± 5°, the third angle can be about 0° + 5°, the first distance can be about 0.69 in. ± 0.25 in., the second distance can be about 0.33 in. ± 0. 125 in., the third distance can be about 0.69 in. ± 0.25 in., the target cable ampacity can be about 411 amps ± 50 amps, and the predetermined temperature can be about 35 °C ± 5 °C.

[0015] In an aspect, the first angle can be about 35° ± 5°, the second angle can be about 18° ± 5°, the third angle can be about 0° + 5°, the first distance can be about 0.59 in. ± 0.25 in., the second distance can be about 0.24 in. ± 0. 125 in., the third distance can be about 0.59 in. ± 0.25 in., the target cable ampacity can be about 453 amps ± 50 amps, and the predetermined temperature can be about 35 °C ± 5 °C.

[0016] In an aspect, the first angle can be about 35° ± 5°, the second angle can be about 21° ± 5°, the third angle can be about 5° ± 5°, the first distance can be about 0.59 in. ± 0.25 in., the second distance can be about 0.24 in. ± 0.125 in., the third distance can be about 0.59 in. ± 0.25 in., the target cable ampacity can be about 525 amps ± 50 amps, and the predetermined temperature can be about 35 °C ± 5 °C.

[0017] In an aspect, the first angle can be about 35° ± 5°, the second angle can be about 25° ± 5°, the third angle can be about 11° ± 5°, the first distance can be about 0.34 in. ± 0.25 in., the second distance can be about 0.24 in. ± 0.125 in., the third distance can be about 0.34 in. ± 0.25 in., the target cable ampacity can be about 606 amps ± 50 amps, and the predetermined temperature can be about 35 °C ± 5 °C.

[0018] In an aspect, the method can include positioning a seventh set of cables on a seventh arm of the cable organizing device, with the seventh set of cables being adjacent and tangent to each other at a fourth angle relative to the reference plane. The seventh set of cables can be separated from the fifth set of cables by a fourth distance. The method can further include positioning an eighth set of cables on an eighth arm of the cable organizing device, with the eighth arm being a mirror of and extending opposite to the seventh arm. The eighth set of cables can be separated from the seventh set of cables by at least the second distance.

[0019] In an aspect, the first angle can be about 34° ± 5°, the second angle can be about 19° ± 5°, the third angle can be about 2° + 5°, the fourth angle can be about 0° + 5°, the first distance can be about 0.75 in. ± 0.25 in., the second distance can be about 0.33 in. ± 0.125 in., the third distance can be about 0.75 in. ± 0.25 in., the fourth distance can be about 0.75 in. ± 0.25 in., the target cable ampacity can be about 606 amps ± 50 amps, and the predetermined temperature can be about 35 °C ± 5 °C.

[0020] In an aspect, the first angle can be about 35° ± 5°, the second angle can be about 21° ± 5°, the third angle can be about 6° ± 5°, the fourth angle can be about 0° + 5°, the first distance can be about 0.65 in. ± 0.25 in., the second distance can be about 0.24 in. ± 0.125 in., the third distance can be about 0.65 in. ± 0.25 in., the fourth distance can be about 0.65 in. ± 0.25 in., the target cable ampacity can be about 477 amps ± 50 amps, and the predetermined temperature can be about 35 °C ± 5 °C.

[0021] In an aspect, the first angle can be about 35° ± 5°, the second angle can be about 24° ± 5°, the third angle can be about 10° ± 5°, the fourth angle can be about 0° + 5°, the first distance can be about 0.55 in. ± 0.25 in., the second distance can be about 0.24 in. ± 0.125 in., the third distance can be about 0.55 in. ± 0.25 in., the fourth distance can be about 0.55 in. ± 0.25 in., the target cable ampacity can be about 539 amps ± 50 amps, and the predetermined temperature can be about 35 °C ± 5 °C.

[0022] In an aspect, the first angle can be about 35° ± 5°, the second angle can be about 28° ± 5°, the third angle can be about 16° ± 5°, the fourth angle can be about 0° + 5°, the first distance can be about 0.40 in. ± 0.25 in., the second distance can be about 0.24 in. ± 0.125 in., the third distance can be about 0.40 in. ± 0.25 in., the fourth distance can be about 0.40 in. ± 0.25 in., the target cable ampacity can be about 602 amps ± 50 amps, and the predetermined temperature can be about 35 °C ± 5 °C.

[0023] In an aspect, the method can include positioning a ninth set of cables on a ninth arm of the cable organizing device, with the ninth set of cables being adjacent and tangent to each other at a fifth angle relative to the reference plane. The ninth set of cables can be separated from the seventh set of cables by a fifth distance. The method can further include positioning a tenth set of cables on a tenth arm of the cable organizing device, with the tenth arm being a mirror of and extending opposite to the ninth arm. The tenth set of cables can be separated from the ninth set of cables by at least the second distance.

[0024] In an aspect, the first angle can be about 34° ± 5°, the second angle can be about 23° ± 5°, the third angle can be about 10° ± 5°, the fourth angle can be about 0° + 5°, the fifth angle can be about 0° + 5°, the first distance can be about 0.83 in. ± 0.25 in., the second distance can be about 0.37 in. ± 0.125 in., the third distance can be about 0.83 in. ± 0.25 in., the fourth distance can be about 0.83 in. ± 0.25 in., the fifth distance can be about 0.83 in. ± 0.25 in., the target cable ampacity can be about 431 amps ± 50 amps, and the predetermined temperature can be about 35 °C ± 5 °C.

[0025] In an aspect, the first angle can be about 35° ± 5°, the second angle can be about 24° ± 5°, the third angle can be about 13° ± 5°, the fourth angle can be about 0° + 5°, the fifth angle can be about 0° + 5°, the first distance can be about 0.73 in. ± 0.25 in., the second distance can be about 0.24 in. ± 0. 125 in., the third distance can be about 0.73 in. ± 0.25 in., the fourth distance can be about 0.73 in. ± 0.25 in., the fifth distance can be about 0.73 in. ± 0.25 in., the target cable ampacity' can be about 488 amps ± 50 amps, and the predetermined temperature can be about 35 °C ± 5 °C.

[0026] In an aspect, the first angle can be about 35° ± 5°, the second angle can be about 27° ± 5°, the third angle can be about 17° ± 5°, the fourth angle can be about 6° ± 5°, the fifth angle is about 0° + 5°, the first distance can be about 0.63 in. ± 0.25 in., the second distance can beabout 0.24 in. ± 0. 125 in., the third distance can be about 0.63 in. ± 0.25 in., the fourth distance can be about 0.63 in. ± 0.25 in., the fifth distance can be about 0.63 in. ± 0.25 in., the target cable ampacity can be about 522 amps ± 50 amps, and the predetermined temperature can be about 35 °C ± 5 °C.

[0027] In an aspect, the first angle can be about 35° ± 5°, the second angle can be about 30° ± 5°, the third angle can be about 22° ± 5°, the fourth angle can be about 13° ± 5°, the fifth angle can be about 0° + 5°, the first distance can be about 0.48 in. ± 0.25 in., the second distance can be about 0.24 in. ± 0.125 in., the third distance can be about 0.48 in. ± 0.25 in., the fourth distance can be about 0.48 in. ± 0.25 in., the fifth distance can be about 0.48 in. ± 0.25 in., the target cable ampacity can be about 613 amps ± 50 amps, and the predetermined temperature can be about 35 °C ± 5 °C.

[0028] In an aspect, a method for determining cable ampacity for cables organized in complex arrangements is provided. The method includes selecting a cable size, measuring a cable diameter (A2) of a first cable having the selected cable size, measuring a minimum vertical spacing (B2) between the first cable in a first cable saddle and a second cable in a second cable saddle, measuring a minimum horizontal spacing (C2) between the first cable in the first cable saddle and a third cable in a third cable saddle, measuring an ambient temperature (D2), and calculating a cable ampacity (CA) according to a cable ampacity equation. One or more of the following features can be combined in any feasible combination.

[0029] The method described can van' in any number of ways. In an aspect, the cable ampacity equation can comprise:CA = y + Al * A2 + Bl * B2 + Cl * C2 + DI * D2Each of the variables y, Al, Bl, Cl, and DI are constants derived from experimental data and simulation data.

[0030] As an aspect, the method can further include measuring an amount of cables (E2) in the first cable saddle, second cable saddle, or third cable saddle. The cable ampacity equation can comprise:CA = y + Al * A2 + Bl * B2 + Cl * C2 + DI * D2 + El * E2 The variable El is a constant derived from experimental data and simulation data.

[0031] In an aspect, the method can further include measuring a quantity of cables (E2) in the first cable saddle, second cable saddle, or third cable saddle and measuring a quantity of saddles (F2). The cable ampacity equation can comprise:CA = y + Al * A2 + Bl * B2 + Cl * C2 + DI * D2 + El * E2 + Fl * F2 The variables El and Fl are constants derived from experimental data and simulation data.

[0032] In an aspect, the method can further include measuring a quantity of cables (E2) in the first cable saddle, second cable saddle, or third cable saddle, measuring a quantity of saddles (F2), and measuring an angle (G2) between the first cable in the first cable saddle and a fourth cable in the first cable saddle. The cable ampacity equation can comprise:CA = y + Al * A2 + Bl * B2 + Cl * C2 + DI * D2 + El * E2 + Fl * F2 + G1 * G2 The variables El, Fl, and G1 are constants derived from experimental data and simulation data.

[0033] In an aspect, a method for determining cable ampacity for cables organized in complex arrangements is provided. The method includes selecting a look-up table based on a corresponding complex arrangement of cables and selecting a cable ampacity in the look-up table based on a cable size and an ambient temperature.

[0034] In an aspect, a method for determining optimized cable arrangements and materialefficient support devices is provided. The method includes determining a target cable ampacity, determining a total number of cables, determining an average ambient temperature, and selecting a range of initial values for a plurality of factors. The plurality of factors include a cable diameter (A2), a minimum vertical spacing (B2) between a first cable in a first cable saddle and a second cable in a second cable saddle, a minimum horizontal spacing (C2) between the first cable in the first cable saddle and a third cable in a third cable saddle, an ambient temperature (D2) (which can also be referred to as a predetermined temperature), a quantity of cables (E2) in the first cable saddle, second cable saddle, or third cable saddle, a quantity of saddles (F2), and an angle (G2) between the first cable in the first cable saddle and a fourth cable in the first cable saddle. The method further includes determining a plurality of combinations of the plurality of factors based on the range of initial values by using a full factorial algorithm. The method still further includes determining a cable ampacity for each combination of the plurality of combinations by using a cable ampacity formula comprising:CA = y + Al * A2 + Bl * B2 + Cl * C2 + DI * D2 + El * E2 + Fl * F2 + G1 * 62 Each of a first constant (Al), a second constant (Bl), a third constant (Cl), a fourth constant (DI), a fifth constant (El), a sixth constant (Fl), and a seventh constant (Gl) is derived based on experimental data and simulation data. One or more of the following features can be combined in any feasible combination.

[0035] The method described can vary in any number of ways. In an aspect, the method can further include calculating a surface area of a support device for each possible combination. In another example, the method can further include selecting a combination based on the smallest calculated surface area that meets the target cable ampacity.

[0036] In an aspect, a device for organizing cables is provided. The device includes a spine having a first end and a second end, with the first end being adjacent a ground surface and the second end having a hook. The device further includes a first arm extending from a first side of the spine, at least a portion of the first arm being angled at a first angle relative to a reference plane, with the first arm being configured to receive at least one cable. The device includes a second arm extending from the first side of the spine, at least a portion of the second arm being angled at a second angle relative to the reference plane, with the second arm being separated from the first arm by a first distance along a first axis parallel to the spine and configured to receive at least one cable. The device still further includes a third arm extending from a second side of the spine that is opposite the first side, with the third arm being a mirror of and extending opposite the first arm, the third arm being separated from the first arm by a second distance, and the third arm being configured to receive at least one cable. The device further includes a fourth arm extending from the second side of the spine, with the fourth arm being a mirror of and extending opposite the second arm, and the fourth arm being configured to receive at least one cable. One or more of the following features can be combined in any feasible combination.

[0037] The device described can vary in any number of w ays. In an aspect, each of the first and second angles can be between about 0° and about 40°. In an aspect, the first angle can be between about 30° and about 40° and the second angle can be between about 10° and about 30°. In an aspect, the first distance can be between about 0.5 inches and about 1.5 inches and the second distance can be between about 0. 1 inches and about 1 inch. A width measured between an end of each of the second and fourth arms can be between about 5 inches andabout 7 inches. A w idth measured between an end of each of the first and third arms can be between about 3 inches and about 6 inches.

[0038] In an aspect, the device includes a fifth arm that extends from the first side of the spine, with at least a portion of the fifth arm being angled at a third angle relative to the reference plane. The fifth arm can be separated from the second arm by a third distance along the first axis and can be configured to receive at least one cable. The third distance can be equivalent to the first distance. In an aspect, the third angle can be between about 0° and about 10°.

[0039] In an aspect, the device includes a sixth arm that extends from the second side of the spine, with the fourth arm being a mirror of and extending opposite to the second arm. The fourth arm can be configured to receive at least one cable.

[0040] In an aspect, the first angle is about 34° ± 5°, the second angle is about 15° ± 5°, the first distance is about 0.56 in. ± 0.25 in., the second distance is about 0.24 in. ± 0.125 in., a target cable ampacity of the cables positioned within the device is about 433 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

[0041] In an aspect, the first angle is about 35° ± 5°, the second angle is about 18° ± 5°, the first distance is about 0.46 in. ± 0.25 in., the second distance is about 0.24 in. ± 0.125 in., a target cable ampacity of the cables positioned within the device is about 455 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

[0042] In an aspect, the first angle is about 35° ± 5°, the second angle is about 21° ± 5°, the first distance is about 0.46 in. ± 0.25 in., the second distance is about 0.24 in. ± 0.125 in., a target cable ampacity of the cables positioned within the device is about 500 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

[0043] In an aspect, the device further comprises a fifth arm being a third angle relative to the reference plane, the fifth arm being separated from the second arm by a third distance; and a sixth arm being a mirror of and extending opposite to the fifth arm. the sixth arm being separated from the first arm by at least the second distance.

[0044] In an aspect, the first angle is about 34° ± 5°, the second angle is about 16° ± 5°, the third angle is about 0° + 5°, the first distance is about 0.69 in. ± 0.25 in., the second distance is about 0.33 in. ± 0.125 in., the third distance is about 0.69 in. ± 0.25 in., a target cable ampacity of the cables positioned within the device is about 411 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

[0045] In an aspect, the first angle is about 35° ± 5°, the second angle is about 18° ± 5°, the third angle is about 0° ± 5°, the first distance is about 0.59 in. ± 0.25 in., the second distance is about 0.24 in. ± 0.125 in., the third distance is about 0.59 in. ± 0.25 in., a target cable ampacity of the cables positioned within the device is about 453 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

[0046] In an aspect, the first angle is about 35° ± 5°, the second angle is about 21° ± 5°, the third angle is about 5° ± 5°, the first distance is about 0.59 in. ± 0.25 in., the second distance is about 0.24 in. ± 0. 125 in., the third distance is about 0.59 in. ± 0.25 in., a target cable ampacity of the cables positioned within the device is about 525 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

[0047] In an aspect, the first angle is about 35° ± 5°, the second angle is about 25° ± 5°, the third angle is about 11° ± 5°, the first distance is about 0.34 in. ± 0.25 in., the second distance is about 0.24 in. ± 0.125 in., the third distance is about 0.34 in. ± 0.25 in., a target cable ampacity of the cables positioned within the device is about 606 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

[0048] In an aspect, the device further comprises a seventh arm being at a fourth angle relative to the reference plane, the seventh arm being separated from the fifth arm by a fourth distance; and an eighth arm being a mirror of and extending opposite to the seventh arm, the eighth arm being separated from the first arm by at least the second distance.

[0049] In an aspect, the first angle is about 34° ± 5°, the second angle is about 19° ± 5°, the third angle is about 2° ± 5°, the fourth angle is about 0° ± 5°, the first distance is about 0.75 in. ± 0.25 in., the second distance is about 0.33 in. ± 0. 125 in., the third distance is about 0.75 in. ± 0.25 in., the fourth distance is about 0.75 in. ± 0.25 in., a target cable ampacity of the cables positioned within the device is about 606 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

[0050] In an aspect, the first angle is about 35° ± 5°, the second angle is about 21° ± 5°, the third angle is about 6° ± 5°, the fourth angle is about 0° + 5°, the first distance is about 0.65 in. ± 0.25 in., the second distance is about 0.24 in. ± 0.125 in., the third distance is about 0.65 in. ± 0.25 in., the fourth distance is about 0.65 in. ± 0.25 in., a target cable ampacity of the cables positioned within the device is about 477 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

[0051] In an aspect, the first angle is about 35° ± 5°, the second angle is about 24° ± 5°, the third angle is about 10° ± 5°, the fourth angle is about 0° + 5°, the first distance is about 0.55 in. ± 0.25 in., the second distance is about 0.24 in. ± 0.125 in., the third distance is about 0.55 in. ± 0.25 in., the fourth distance is about 0.55 in. ± 0.25 in., a target cable ampacity of the cables positioned within the device is about 539 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

[0052] In an aspect, the device further comprises a ninth arm being at a fifth angle relative to the reference plane, the ninth arm being separated from the seventh arm by a fifth distance; and a tenth arm being a mirror of and extending opposite to the ninth arm, the tenth arm being separated from the first arm by at least the second distance.

[0053] In an aspect, the first angle is about 34° ± 5°, the second angle is about 23° ± 5°, the third angle is about 10° ± 5°, the fourth angle is about 0° + 5°, the fifth angle is about 0° + 5°, the first distance is about 0.83 in. ± 0.25 in., the second distance is about 0.37 in. ± 0.125 in., the third distance is about 0.83 in. ± 0.25 in., the fourth distance is about 0.83 in. ± 0.25 in., the fifth distance is about 0.83 in. ± 0.25 in., a target cable ampacity of the cables positioned within the device is about 431 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C; or the first angle is about 35° ± 5°, the second angle is about 24° ± 5°, the third angle is about 13° ± 5°, the fourth angle is about 0° + 5°, the fifth angle is about 0° + 5°, the first distance is about 0.73 in. ± 0.25 in., the second distance is about 0.24 in. ± 0. 125 in., the third distance is about 0.73 in. ± 0.25 in., the fourth distance is about 0.73 in. ± 0.25 in., the fifth distance is about 0.73 in. ± 0.25 in., a target cable ampacity of the cables positioned within the device is about 488 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C; or the first angle is about 35° ± 5°, the second angle is about 27° ± 5°. the third angle is about 17° ± 5°, the fourth angle is about 6° ± 5°, the fifth angle is about 0° + 5°. the first distance is about 0.63 in. ± 0.25 in., the second distance is about 0.24 in. ± 0.125 in., thethird distance is about 0.63 in. ± 0.25 in., the fourth distance is about 0.63 in. ± 0.25 in., the fifth distance is about 0.63 in. ± 0.25 in., a target cable ampacity of the cables positioned within the device is about 522 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C; or the first angle is about 35° ± 5°, the second angle is about 30° ± 5°, the third angle is about 22° ± 5°, the fourth angle is about 13° ± 5°, the fifth angle is about 0° + 5°, the first distance is about 0.48 in. ± 0.25 in., the second distance is about 0.24 in. ± 0.125 in., the third distance is about 0.48 in. ± 0.25 in., the fourth distance is about 0.48 in. ± 0.25 in., the fifth distance is about 0.48 in. ± 0.25 in., a target cable ampacity of the cables positioned within the device is about 613 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

[0054] In an aspect, a system for organizing cables is provided. The system includes at least two solar panels, a power transmission cable extending between the at least two solar panels, a messenger wire extending between the at least two solar panels, and a cable hanger connected to the messenger wire and configured to support the power transmission cable. The cable hanger includes a spine having a first end and a second end, with the first end being adjacent a ground surface and the second end having a hook. The device further includes a first arm extending from a first side of the spine, at least a portion of the first arm being angled at a first angle relative to a reference plane, with the first arm being configured to receive at least one cable. The device includes a second arm extending from the first side of the spine, at least a portion of the second arm being angled at a second angle relative to the reference plane, with the second arm being separated from the first arm by a first distance along a first axis parallel to the spine and configured to receive at least one cable. The device still further includes a third arm extending from a second side of the spine that is opposite the first side, with the third arm being a mirror of and extending opposite the first arm, the third arm being separated from the first arm by a second distance, and the third arm being configured to receive at least one cable. The device further includes a fourth arm extending from the second side of the spine, with the fourth arm being a mirror of and extending opposite the second arm. and the fourth arm being configured to receive at least one cable. One or more of the following features can be combined in any feasible combination.

[0055] The system described can vary in any number of ways. In an aspect, each of the first and second angles can be between about 0° and about 40°. In an aspect, the first angle can bebetween about 30° and about 40° and the second angle can be between about 10° and about 30°. In an aspect the first distance can be between about 0.5 inches and about 1.5 inches and the second distance can be between about 0. 1 inches and about 1 inch. A width measured between an end of each of the second and fourth arms can be between about 5 inches and about 7 inches. A w idth measured between an end of each of the first and third arms can be between about 3 inches and about 6 inches.

[0056] In an aspect, the cable hanger includes a fifth arm that extends from the first side of the spine, with at least a portion of the fifth arm being angled at a third angle relative to the reference plane. The fifth arm can be separated from the second arm by a third distance along the first axis and can be configured to receive at least one cable. The third distance can be equivalent to the first distance. In an aspect, the third angle can be between about 0° and about 10°.

[0057] In an aspect, the cable hanger includes a sixth arm that extends from the second side of the spine, with the fourth arm being a mirror of and extending opposite to the second arm. The fourth arm can be configured to receive at least one cable.

[0058] In an aspect, the first angle is about 34° ± 5°, the second angle is about 15° ± 5°, the first distance is about 0.56 in. ± 0.25 in., the second distance is about 0.24 in. ± 0.125 in., a target cable ampacity of the cables positioned within the device is about 433 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

[0059] In an aspect, the first angle is about 35° ± 5°, the second angle is about 18° ± 5°, the first distance is about 0.46 in. ± 0.25 in., the second distance is about 0.24 in. ± 0.125 in., a target cable ampacity of the cables positioned within the device is about 455 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

[0060] In an aspect, the first angle is about 35° ± 5°, the second angle is about 21° ± 5°, the first distance is about 0.46 in. ± 0.25 in., the second distance is about 0.24 in. ± 0.125 in., a target cable ampacity of the cables positioned within the device is about 500 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

[0061] In an aspect, the device further comprises a fifth arm being a third angle relative to the reference plane, the fifth arm being separated from the second arm by a third distance; and asixth arm being a mirror of and extending opposite to the fifth arm, the sixth arm being separated from the first arm by at least the second distance.

[0062] In an aspect, the first angle is about 34° ± 5°, the second angle is about 16° ± 5°, the third angle is about 0° + 5°, the first distance is about 0.69 in. ± 0.25 in., the second distance is about 0.33 in. ± 0. 125 in., the third distance is about 0.69 in. ± 0.25 in., a target cable ampacity of the cables positioned within the device is about 411 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

[0063] In an aspect, the first angle is about 35° ± 5°, the second angle is about 18° ± 5°, the third angle is about 0° + 5°, the first distance is about 0.59 in. ± 0.25 in., the second distance is about 0.24 in. ± 0.125 in., the third distance is about 0.59 in. ± 0.25 in., a target cable ampacity of the cables positioned within the device is about 453 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

[0064] In an aspect, the first angle is about 35° ± 5°, the second angle is about 21° ± 5°, the third angle is about 5° ± 5°, the first distance is about 0.59 in. ± 0.25 in., the second distance is about 0.24 in. ± 0. 125 in., the third distance is about 0.59 in. ± 0.25 in., a target cable ampacity of the cables positioned within the device is about 525 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

[0065] In an aspect, the first angle is about 35° ± 5°, the second angle is about 25° ± 5°, the third angle is about 11° ± 5°. the first distance is about 0.34 in. ± 0.25 in., the second distance is about 0.24 in. ± 0.125 in., the third distance is about 0.34 in. ± 0.25 in., a target cable ampacity of the cables positioned within the device is about 606 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

[0066] In an aspect, the cable hanger further comprises a seventh arm being at a fourth angle relative to the reference plane, the seventh arm being separated from the fifth arm by a fourth distance; and an eighth arm being a mirror of and extending opposite to the seventh arm, the eighth arm being separated from the first arm by at least the second distance.

[0067] In an aspect, the first angle is about 34° ± 5°, the second angle is about 19° ± 5°, the third angle is about 2° + 5°, the fourth angle is about 0° + 5°, the first distance is about 0.75 in. ± 0.25 in., the second distance is about 0.33 in. ± 0.125 in., the third distance is about 0.75in. ± 0.25 in., the fourth distance is about 0.75 in. ± 0.25 in., a target cable ampacity of the cables positioned within the device is about 606 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

[0068] In an aspect, the first angle is about 35° ± 5°, the second angle is about 21° ± 5°, the third angle is about 6° ± 5°, the fourth angle is about 0° + 5°, the first distance is about 0.65 in. ± 0.25 in., the second distance is about 0.24 in. ± 0.125 in., the third distance is about 0.65 in. ± 0.25 in., the fourth distance is about 0.65 in. ± 0.25 in., a target cable ampacity of the cables positioned within the device is about 477 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

[0069] In an aspect, the first angle is about 35° ± 5°, the second angle is about 24° ± 5°, the third angle is about 10° ± 5°, the fourth angle is about 0° + 5°, the first distance is about 0.55 in. ± 0.25 in., the second distance is about 0.24 in. ± 0.125 in., the third distance is about 0.55 in. ± 0.25 in., the fourth distance is about 0.55 in. ± 0.25 in., a target cable ampacity of the cables positioned within the device is about 539 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

[0070] In an aspect, the cable hanger further comprises a ninth arm being at a fifth angle relative to the reference plane, the ninth arm being separated from the seventh arm by a fifth distance; and a tenth arm being a mirror of and extending opposite to the ninth arm, the tenth arm being separated from the first arm by at least the second distance.

[0071] In an aspect, the first angle is about 34° ± 5°, the second angle is about 23° ± 5°, the third angle is about 10° ± 5°, the fourth angle is about 0° + 5°, the fifth angle is about 0° + 5°, the first distance is about 0.83 in. ± 0.25 in., the second distance is about 0.37 in. ± 0.125 in., the third distance is about 0.83 in. ± 0.25 in., the fourth distance is about 0.83 in. ± 0.25 in., the fifth distance is about 0.83 in. ± 0.25 in., a target cable ampacity of the cables positioned within the device is about 431 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C; or the first angle is about 35° ± 5°, the second angle is about 24° ± 5°, the third angle is about 13° ± 5°, the fourth angle is about 0° + 5°, the fifth angle is about 0° + 5°, the first distance is about 0.73 in. ± 0.25 in., the second distance is about 0.24 in. ± 0.125 in., the third distance is about 0.73 in. ± 0.25 in., the fourth distance is about 0.73 in. ± 0.25 in., the fifth distance is about 0.73 in. ± 0.25 in., a target cable ampacity of the cables positionedwithin the device is about 488 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C; or the first angle is about 35° ± 5°, the second angle is about 27° ± 5°. the third angle is about 17° ± 5°, the fourth angle is about 6° ± 5°, the fifth angle is about 0° + 5°, the first distance is about 0.63 in. ± 0.25 in., the second distance is about 0.24 in. ± 0.125 in., the third distance is about 0.63 in. ± 0.25 in., the fourth distance is about 0.63 in. ± 0.25 in., the fifth distance is about 0.63 in. ± 0.25 in., a target cable ampacity of the cables positioned within the device is about 522 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C; or the first angle is about 35° ± 5°, the second angle is about 30° ± 5°, the third angle is about 22° ± 5°, the fourth angle is about 13° ± 5°, the fifth angle is about 0° + 5°, the first distance is about 0.48 in. ± 0.25 in., the second distance is about 0.24 in. ± 0.125 in., the third distance is about 0.48 in. ± 0.25 in., the fourth distance is about 0.48 in. ± 0.25 in., the fifth distance is about 0.48 in. ± 0.25 in., a target cable ampacity of the cables positioned within the device is about 613 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

[0072] The methods and devices described can be used to organize cables in complex arrangements for specific cable ampacities targets, which can allow for more efficient cable size designs in large-scale solar energy generation plants as well as more efficient cable hangers and other cable support designs.

[0073] Accordingly, there is a need for methods and devices for organizing cables in complex arrangements that achieve specific cable ampacities targets.BRIEF DESCRIPTION OF THE DRAWINGS

[0074] These and other features will be more readily understood from the following detailed description taken in conjunction with the accompanying drawings, in which:

[0075] FIG. 1 depicts a front view of an aspect of cables organized in an exemplary complex arrangement supported by an exemplary' cable support device;

[0076] FIG. 2 depicts a front view of an aspect of cables organized in an exemplary complex arrangement supported by an exemplary^ cable support device;

[0077] FIG. 3 depicts a front view of an aspect of cables organized in the exemplary complex arrangement of FIG. 2 that are supported by an exemplary cable support device;

[0078] FIG. 4 depicts a front view of an aspect of cables organized in an exemplary complex arrangement supported by an exemplary cable support device;

[0079] FIG. 5 depicts a front view of an aspect of cables organized in the exemplary complex arrangement of FIG. 4 that are supported by an exemplar}’ cable support device;

[0080] FIG. 6 depicts a front view of an aspect of cables organized in an exemplary complex arrangement supported by an exemplary cable support device;

[0081] FIG. 7 depicts a front view of an aspect of cables organized in the exemplary complex arrangement of FIG. 6 that are supported by an exemplary cable support device;

[0082] FIG. 8 depicts a front view of an aspect of cables organized in an exemplary complex arrangement supported by an exemplary cable support device;

[0083] FIG. 9 depicts a front view of an aspect of cables organized in the exemplary complex arrangement of FIG. 8 that are supported by an exemplar}’ cable support device;

[0084] FIG. 10 depicts a front view of an aspect of cables organized in an exemplary complex arrangement supported by an exemplary cable support device;

[0085] FIG. 11 depicts a front view of an aspect of cables organized in the exemplar ' complex arrangement of FIG. 10 that are supported by an exemplary cable support device;

[0086] FIG. 12 depicts a front view of an aspect of cables organized in an exemplar}7complex arrangement supported by an exemplary cable support device;

[0087] FIG. 13 depicts a front view of an aspect of cables organized in the exemplary complex arrangement of FIG. 12 that are supported by an exemplary cable support device;

[0088] FIG. 14 depicts a front view of an aspect of cables organized in an exemplary complex arrangement supported by an exemplary cable support device;

[0089] FIG. 15 depicts a front view of an aspect of cables organized in the exemplary complex arrangement of FIG. 14 that are supported by an exemplary cable support device;

[0090] FIG. 16 depicts a front view of an aspect of cables organized in an exemplary' complex arrangement;

[0091] FIG. 17 depicts a front view of an aspect of cables organized in an exemplary complex arrangement;

[0092] FIG. 18 depicts a front view of an aspect of cables organized in an exemplary complex arrangement;

[0093] FIG. 19 depicts a front view of an aspect of cables organized in an exemplary- complex arrangement;

[0094] FIG. 20 depicts a front view of an aspect of cables organized in an exemplary- complex arrangement;

[0095] FIG. 21 depicts a front view of an aspect of cables organized in an exemplary complex arrangement;

[0096] FIG. 22 depicts a front view of an aspect of cables organized in an exemplary complex arrangement;

[0097] FIG. 23 depicts a front view of an aspect of cables organized in an exemplary- complex arrangement;

[0098] FIG. 24 depicts a front view of an aspect of a cable support device for organizing cables in a complex arrangement;

[0099] FIG. 25 depicts a front view of an aspect of a cable support device for organizing cables in a complex arrangement;

[0100] FIG. 26 depicts a front view of an aspect of a cable support device for organizing cables in a complex arrangement;

[0101] FIG. 27 depicts a front view of an aspect of a cable support device for organizing cables in a complex arrangement;

[0102] FIG. 28 depicts a front view of an aspect of a cable support device for organizing cables in a complex arrangement;

[0103] FIG. 29A depicts a perspective view of an aspect of a cable support device for organizing cables in a complex arrangement;

[0104] FIG. 29B depicts a side view of the cable support device of FIG. 29A;

[0105] FIG. 29C depicts a cross-sectional view of an arm of the cable support device of FIG. 29A taken along line A-A in FIG. 29D;

[0106] FIG. 29D depicts a front view of the cable support device of FIG. 29 A;

[0107] FIG. 30A depicts a perspective view of an aspect of a cable support device for organizing cables in a complex arrangement;

[0108] FIG. 30B depicts a side view of the cable support device of FIG. 29A;

[0109] FIG. 30C depicts a cross-sectional view of an arm of the cable support device of FIG. 30A taken along line A-A in FIG. 30D;

[0110] FIG. 30D depicts a front view of the cable support device of FIG. 30A;

[0111] FIG. 31 depicts a table of exemplary dimensions of exemplary cable support devices;

[0112] FIG. 32 depicts another table of exemplary dimensions of exemplary cable support devices;

[0113] FIG. 33 depicts another table of exemplary dimensions of exemplary cable support devices;

[0114] FIG. 34 depicts another table of exemplary' dimensions of exemplary cable support devices;

[0115] FIG. 35 depicts a look-up table displaying cable ampacities at various ambient temperatures for various cable sizes when the cables are organized in the complex arrangement of FIG. 16;

[0116] FIG. 36 depicts a plot of cable ampacity for various ambient temperatures and cable sizes when the cables are organized in the complex arrangement of FIG. 16;

[0117] FIG. 37 depicts a look-up table displaying cable ampacities at various ambient temperatures for various cable sizes when the cables are organized in the complex arrangement of FIG. 17;

[0118] FIG. 38 depicts a plot of cable ampacity for various ambient temperatures and cable sizes when the cables are organized in the complex arrangement of FIG. 17;

[0119] FIG. 39 depicts a look-up table displaying cable ampacities at various ambient temperatures for various cable sizes when the cables are organized in the complex arrangement of FIG. 18;

[0120] FIG. 40 depicts a plot of cable ampacity for various ambient temperatures and cable sizes when the cables are organized in the complex arrangement of FIG. 18;

[0121] FIG. 41 depicts a look-up table displaying cable ampacities at various ambient temperatures for various cable sizes when the cables are organized in the complex arrangement of FIG. 19;

[0122] FIG. 42 depicts a plot of cable ampacity for various ambient temperatures and cable sizes when the cables are organized in the complex arrangement of FIG. 19;

[0123] FIG. 43 depicts results of a computational fluid dynamics simulation of cable temperature for cables organized in the complex arrangement of FIG. 17;

[0124] FIG. 44 depicts results of a computational fluid dynamics simulation of air velocity for cables organized in the complex arrangement of FIG. 18;

[0125] FIG. 45 provides an exemplary method for determining an optimal complex cable arrangement;

[0126] FIG. 46 provides an exemplary method of positioning cables in an optimal complex cable arrangement;

[0127] FIG. 47 provides an exemplar}' method for determining an optimal complex cable arrangement;

[0128] FIG. 48 provides an exemplary method for determining an optimal complex cable arrangement;

[0129] FIG. 49 depicts a front view of an aspect of a cable support device for organizing cables in a complex arrangement;

[0130] FIG. 50 depicts a table of exemplary dimensions of exemplary cable support devices;

[0131] FIG. 51A depicts a table of cable ampacities for exemplary dimensions of exemplary cable support devices;

[0132] FIG. 5 IB depicts a table of cable ampacities for exemplary dimensions of exemplary cable support devices;

[0133] FIG. 51C devices depicts a table of cable ampacities for exemplary dimensions of exemplary cable support devices;

[0134] FIG. 5 ID depicts a table of cable ampacities for exemplary dimensions of exemplary cable support devices;

[0135] FIG. 5 IE depicts a legend for the tables of FIGS. 51A-51D;

[0136] FIG. 52A depicts a table of parameters for a linear regression model;

[0137] FIG. 52B depicts a table of parameters for the linear regression model of FIG.52A;

[0138] FIG. 52C depicts a table of parameters for the linear regression model of FIG. 52A;

[0139] FIG. 53A depicts a table of parameters for a linear regression model;

[0140] FIG. 53B depicts a table of parameters for the linear regression model of FIG.53A;

[0141] FIG. 53C depicts a table of parameters for the linear regression model of FIG. 53A

[0142] FIG. 54A depicts a front view of an aspect of a cable support device for organizing cables in a complex arrangement; and

[0143] FIG. 54B depicts the cable support device of FIG. 54A positioned on a cable and a plurality cables positioned on the cable support device of FIG. 54 A.DETAILED DESCRIPTION

[0144] Certain exemplary aspects will now be described to provide an overall understanding of the principles of the structure, function, manufacture, and use of the devices and methods disclosed herein. One or more examples of these aspects are illustrated in the accompanying drawings. Those skilled in the art will understand that the devices and methods specifically described herein and illustrated in the accompanying drawings are nonlimiting exemplary aspects and that the scope of the present invention is defined solely by the claims. The features illustrated or described in connection with one exemplary aspect may be combined with the features of other aspects. Such modifications and variations are intended to be included within the scope of the present invention.

[0145] Systems and methods for arranged cables (e.g., DC power cables for solar generation projects) are provided herein. The systems can include a cable support device that includes at least a first arm having a first surface and a second arm having a second surface. At least one cable can be positioned on each of the first and second surfaces. The cables can be positioned at a predetermined vertical distance from each other and / or a predetermined horizontal distance from each other. The predetermined vertical and / or horizontal distances can facilitate improved performance of the cables (e.g., cable ampacity). Additionally, the cables, via the arms, can be positioned at a predetermined angle relative to each other. The predetermined angle can additionally facilitate an improved performance of the cables (e.g., cable ampacity). Advantageously, some implementations of the cable support devices (e.g., hangers, cable trays, raceways) described herein are configured to be produced with aminimal quantity of material that still achieves the target cable ampacity, which can help reduce costs associated building and maintaining solar power generation plants. Additionally, some implementations of the current subject matter are directed to improved positioning of the plurality of cables such that the cable arrangement needed for the specific cable ampacitycan be safely maintained for the life of the plant. Accordingly, some implementations of the current subject matter advantageously can be used to organize cables in complex arrangements to meet specific target ampacities and increase efficiency in large-scale solar energy generation plants.

[0146] Some approaches described herein generally use and / or expand on a variety of industry-standard assumptions related to air flow (e.g., wind) across a cable. In an aspect, Section 310.21 of the National Fire Protection Association 70 National Electrical Code Development 2023 edition, entitled “Ampacities of Bare or Covered Conductors in Free Air,” lists an assumed wind velocity of 2 ft / sec. However, the reference does not specify the direction of air flow, such as perpendicular to the cables or parallel to the cables. As another example. Section 311.60(C) Informational Note No. 1 references IEEE Std 835 Standard Power Cable Ampacity Tables “for availability of all factors and constants.” In turn, IEEE SA - IEEE Std 835a-2012 provides ampacities for many installation ty pes, including a method for “0.6 to 5 kV Unshielded Single Conductor Extruded Dielectric Cable in Free Air - Triplexed.” This method assumes an ambient air temperature of 40 °C, with full sun exposure, and an assumed wind velocity of 2 ft / sec (with the direction again unspecified).

[0147] Implementations of the current subject matter can generally expand on a variety of industry -standard assumptions related to radiation. In an aspect, NEC references IEEE Std 835 describes that full sun exposure corresponds to a “solar effect at 95 W / fit2(horizontal),” which equals 1022 W / m2. Additionally, the same reference also lists black jackets (which are typically used to cover the cables) as having an emissivity of 0.92 and an absorptivity of 0.95. Radiation, both solar heat gain and heat loss, is a relatively complex problem for cables in a cable support device (e.g., hanger) surrounded by solar generation modules (e.g., photovoltaic modules). However, it can be shown that neglecting radiation is typically conservative for cable temperatures around 90 °C and ambient temperatures around 40 °C. In an aspect, in some sample simulations, the net impact is conservative for conductor temperatures > 82 °C with ambient temperatures at 40 °C. such that the heat gain is less thanthe heat loss. Similar results were found for conductor temperatures >78 °C with ambient temperatures at 35 °C.

[0148] The subject matter described herein generally expand on a variety of industrystandard assumptions related to temperature ratings of conductors and types of conductors. In an aspect, a maximum temperature rating of the conductors (e.g., cables) is assumed to be 90 °C. As another example, the type of conductor used is assumed to be aluminum 2 kV photovoltaic cable. Further examples of conductors used with any of the cable support devices described herein can include a variety of conductors, such as #12awg, #10awg, #8awg, #6awg, #4awg, #2awg, 1 / 0, 2 / 0, 3 / 0, 4 / 0, 250 MCM, 300 MCM, 350 MCM, 400 MCM, 500 MCM, 600 MCM, 700 MCM, 750 MCM, 800 MCM, 900 MCM, or 1000 MCM.

[0149] Using the above assumptions and when cables are organized in the complex arrangements described, specific cable ampacities can be determined and utilized on large- scale solar energy generation plants. Accordingly, in some implementations, the methods and devices described can organize cables in complex arrangements to achieve specific cable ampacity targets found on large-scale solar energy generation plants, which enable more efficient engineering of such plants.

[0150] An aspect of a device 10 that organizes cables in a specific complex arrangement 20 to achieve a target cable ampacity is shown in FIG 1. The device 10 and complex arrangement 20 of cables can be configured for use on large-scale solar energy generation plants. The device 10 can be referred to as a cable support device. FIG. 1 shows the exemplary device 10 having a spine 150 and a plurality of arms extending therefrom. The arms described herein can be referred to as saddles or cable saddles. In an aspect, the spine 150 includes a hook 152 configured to releasably attach to a wire or a structure. The hook 152 is configured to maintain the device 10 above a ground surface. A reference plane can be defined by the ground surface and / or a plane that is perpendicular to the spine 150. The device 10 further includes a first arm 152, a second arm 154, a third arm 156, and a fourth arm 158 that each extend from the spine 150. The spine 150 is substantially vertical, such that the spine 150 extends perpendicular to the reference plane. The spine 150 shown in FIG. 1 has a rectangular cross-sectional shape, but in alternative embodiments the spine 150 can have a cross-sectional shape of a rectangle, circle, ellipse, oval, triangle, trapezoid, or acombination thereof. While the device 10 is shown with four arms, alternative embodiments can include fewer than four arms (e.g., one, two, or three) or more than four arms (e.g.. five, six, seven, eight, nine, ten, or more). In an aspect, the device 10 is manufactured by a die casting process, a progressive die stamping process, or a four-slide or CNC wire form process. The device 10 can be manufactured from a variety of wire materials, such as aluminum, steel, galvanized steel, stainless steel, copper, or combination thereof. The device 10 can also be made from thermoplastic materials using various manufacturing techniques such as injection molding or 3D printing. In an aspect, the device 10 can be manufactured using an inner structure of metal covered in a layer of plastic. The method of manufacturing advantageously facilitates high-volume production of the devices (i.e., cable support devices) provided herein.

[0151] Each of the arms 152, 154, 156, 158 are configured to receive at least one cable, as described herein. In an aspect, the first arm 152 is shown with a first cable 121a and a second cable 121b positioned thereon, the second arm 154 is shown with a third cable 123a and a fourth cable 123b positioned thereon, the third arm 156 is shown with a fifth cable 125a and a sixth cable 125b positioned thereon, and the fourth arm 158 is shown with a seventh cable 127a and an eight cable 127b positioned thereon. The first and second cables 121a, 121b together define a first cable group 120, the third and fourth cables 123a, 123b together define a second cable group 122, the fifth and sixth cables 125a, 125b together define a third cable group 124, and the seventh and eight cables 127a, 127b together define a fourth cable group 126. While two cables (e.g., the first and second cables 121a, 121b) are shown positioned on each arm (e.g.. the first arm 152), alternative embodiments can include few er than two cables (e.g., zero, one) or more than two cables (e.g., three, four, five, six, or more) positioned on a given arm. Each cable within a given group can have substantially equivalent sizing and electrical characteristics, and each group positioned on a given cable support device can have substantially equivalent sizing and electrical characteristics as every other group.

[0152] Furthermore, each of the arms 152, 154, 156, 158 are configured to maintain any cables positioned thereon at a predetermined angle. The predetermined angle corresponds to the target cable ampacity by facilitating a separation distance (e.g., vertical distance) between selected cables. In an aspect, the cables 121a, 121b are positioned adjacent andtangent to each other on the arm 152, such that the cables 121a, 121b define an angle 01 that is measured by between an axis that runs through each of the cables 121a, 121b and an axis parallel to a reference plane P. The reference plane P can be parallel to a ground surface and / or perpendicular to the spine 150. The angle 01 can be between about 0° and about 50°, including any value or sub-range therein. As another example, the cables 123a, 123b are positioned adjacent and tangent to each other on the arm 154, such that the cables 123a, 123b define an angle 02 relative to each other and the reference plane P. The angle 02 can be between about 0° and about 50°, including any value or sub-range therein. The angles 01 , 02 can be the same or different as each other, in accordance with the embodiments described herein. A margin of error is included for all angles described herein, with the margin of error being ± 5° or +5° for angles less than 5°. In a further example, the cables 125a. 125b are positioned adjacent and tangent to each other on the arm 156, with the arm 156 being a mirror and extending opposite to the arm 152. Therefore, the cables 125a, 125b are positioned at the angle 01 relative to each other and the reference plane. In yet another example, the cables 127a. 127b are positioned adjacent and tangent to each other on the arm 158, with the arm 158 being a mirror and extending opposite to the arm 154. Therefore, the cables 127a, 127b are positioned at the angle 02 relative to each other and the reference plane.

[0153] While the embodiment shown in FIG. 1 only includes two arms per side of the spine 150 with each arm defining an angle, alternative embodiments that include more than two arms per side of the spine 150 similarly define an angle relative to the reference plane. In an aspect, one or more arms can be positioned above the first arm 152, such that a plurality' of cables positioned thereon define another angle (e.g.. 03 (not shown)). As another example, one or more arms can be positioned below the second arm 154, such that a plurality of cables positioned thereon define another angle (e.g., 04 (not shown)). Any of the angles described herein can be equivalent or different to each other, depending on the target ampacity at a predetermined temperature.

[0154] Furthermore, each of the arms 152, 154, 156, 158 are configured to maintain any cables positioned thereon at a predetermined vertical distance from other cables. In an aspect, the first arm 152 is positioned directly above the second arm 154 such that the cable 121a is separated from the cable 123b by a distance B2. The distance B2 is measured between an external surface of the cable 121a and an external surface of the cable 123b. Thedistance B2 corresponds to a minimum vertical separation distance between any of the cables on the first arm 152 (e.g., 121a) and any of the cables on the second arm 154 (e.g., 123b). The distance B2 can be between about 0 in. to about 1.5 in., including any value or sub-range therein. A margin of error is included for the distance B2 described herein, with the margin of error being ± 0.25 in. A similar predetermined vertical distance can be defined between the cables on the third and fourth arms 156, 158. In an aspect, a distance equivalent to the distance B2 can be measured between any of the cables on the third arm 156 (e.g., 125b) and any of the cables on the fourth arm 158 (e.g., 127a). The predetermined vertical distance at least partially corresponds to the angles (e.g., 01, 02) described herein. In an aspect, increasing the angle 01 relative to the 02 can increase the distance B2 between the cables 121a and 123b, and decreasing the angle 01 relative to the 02 can decrease the distance B2 between the cables 121a and 123b.

[0155] While the embodiment shown in FIG. 1 only includes two arms per side of the spine 150 with the cables positioned on each respective arm being separated by a vertical distance from cables positioned on another arm, alternative embodiments that include more than two arms per side of the spine 150 similarly define a vertical distance between cables on arms that are above or below each other. In an aspect, one or more arms can be positioned above the first arm 152, such that a plurality of cables positioned thereon define another a vertical distance from the cables on the first arm 152. As another example, one or more arms can be positioned below the second arm 154, such that a plurality of cables positioned thereon define another a vertical distance from the cables on the first arm 152. Any of the vertical distances described herein can be equivalent or different to each other, depending on the target ampacity at a predetermined temperature.

[0156] Furthermore, each of the arms 152, 154, 156, 158 is configured to maintain at least cable positioned thereon at a predetermined horizontal distance from at least one cable on other arms. In an aspect, the cable 121a is separated from the cable 125b by a distance C2. The distance C2 is measured between an external surface of the cable 121a and an external surface of the cable 125b. The distance C2 corresponds to a minimum horizontal separation distance between any of the cables on the first arm 152 (e.g., 121a) and any of the cables on the third arm 156 (e.g.. 125b). The distance C2 also corresponds to a horizontal separation distance between any of the cables on the first arm 152 (e.g., 121a) and any of the cables onthe fourth arm 158 (e.g., 127b). The distance C2 can be between about 0.1 in. to about 1 in., including any value or sub-range therein. A margin of error is included for the distance C2 described herein, with the margin of error being ± 0.125 in.

[0157] While the embodiment show n in FIG. 1 only includes tw o arms per side of the spine 150 with the cables positioned on the arms 156, 158 being separated by a horizontal distance from cables positioned on the first arm 152, alternative embodiments that include more than tw o arms per side of the spine 150 similarly define a horizontal distance between additional cables on arms that extend from the opposite side of the spine 150 as the first arm 152. In an aspect, one or more arms can be positioned above the third arm 156, such that a plurality of cables positioned thereon define another horizontal distance from the cables on the first arm 152. As another example, one or more arms can be positioned below the fourth arm 158, such that a plurality of cables positioned thereon define another horizontal distance from the cables on the first arm 152. Any of the horizontal distances described herein can be equivalent or different to each other, depending on the target ampacity at a predetermined temperature.

[0158] The cables (e.g., the cable 125a) positioned on a given cable support device described herein are configured to have a selected cable size (e.g., a cable diameter). In an aspect, as shown in FIG. 1, the cable 125a has a cable size A2. The cable size A2 can be between about 0.5 in. to about 1.5 in. The cable size A2 can be selected by a user according to a target ampacity at a predetermined temperature, in accordance with the methods described herein.

[0159] Additionally, as shown in FIG. 1, the cables (e.g., the cable 125a) positioned on a given cable support device described herein are configured to have an insulation thickness J. The insulation thickness J corresponds to a thickness of a jacket used to cover a given cable and thus insulate the cable from external weather conditions and / or contamination. The insulation thickness J can be between about 0.1 in. to about 0.5 in. The insulation thickness J can be selected by a user according to a selected cable size and / or industry standard, in accordance with the methods described herein.

[0160] One or more of the angles between adjacent cables, the minimum horizontal distances, the minimum vertical distances, the insulation thicknesses, the quantity of cableson a given arm and / or a given cable support device, and the quantity of arms (i.e., saddles) described herein can correspond to a target ampacity. In an aspect, increasing an angle of at least two given cables (e.g., the cable group 120) relative to at least two other cables (e.g., the cable group 122) that are positioned directly above or below the given cables can correspond to a decrease in the cable ampacity of the cables in one or more of the cable groups (e.g., the cable groups 120, 122). Furthermore, increasing the angle of at least two cables (e.g., the cable group 120) can increase a minimum vertical distance (e.g., the distance B2) between cables on an adjacent arm, which can also correspond to a change in the cable ampacity of the cables in one or more of the cable groups (e.g., the cable groups 120, 122). However, increasing the angles and / or vertical distances described herein can increase the size (e g., surface area) of the cable support devices (e.g., device 10) described herein, which can increase cost of a given solar generation power plant project. Accordingly, some implementations of the devices and methods described herein are configured to optimally arrange the cables such that the angles and / or distances betw een cables are sufficient to obtain the target cable ampacity while minimizing the size of the cable support device. Some example target ampacities described herein can be between about 250 amps and about 750 amps, including any values or sub-ranges therein, such as between about 400 amps and about 650 amps. Furthermore, the predetermined temperatures can be between about 10 °C to about 60 °C, including any values or sub-ranges therein. In an aspect, the predetermined temperature corresponds to an ambient temperature of the environment in which the devices and / or cables described herein are used. In an aspect, the predetermined temperature is a range of ambient temperatures and can include a margin of error. The predetermined temperature can be an expected temperature based on historical data or a measured temperature measured by a sensor.

[0161] A variety of complex arrangements that correspond to an optimized cable performance (e.g., cable ampacity) are described herein. In an aspect, as shown in FIG. 2, a cable arrangement 100 on a device 110 (i.e.. a cable support device) includes eight cables arranged to achieve an individual cable ampacity of 433 amps ± 50 amps at 35 °C ± 5 °C. The device 110 is generally similar to the device 10 so similar elements of the device 110 will not be described in detail. As shown, tw o cables (defining a first cable group 120a) are positioned on a first arm of the device 110, such that the two cables are adjacent and tangent to one another at an angle of 34° ± 5° from a horizontal reference plane. The angle of 34° ±5° corresponds to the angle 01 described with reference to FIG. 1. Two cables (defining a second cable group 122a) are vertically positioned below the group of cables 120a on a second arm of the device 110, such that a minimum vertical distance between any of the cables of the second cable group 122a to any of the cables in the first cable group 120a is 0.56 in. ± 0.25 in. The minimum vertical separation of 0.56 in. ± 0.25 in corresponds to the distance B2 described with reference to FIG. 1. Additionally, the second cable group 122a is arranged similarly to the first cable group 120a except that the cables of the second cable group 122a are positioned at an angle of 15° ± 5° relative to a horizontal reference plane. The angle of 34° ± 5° corresponds to the angle 02 described with reference to FIG. 1. The four cables of the first and second cable groups 120a, 122a are mirrored across a vertical reference plane, such that a third cable group 124a and a fourth cable group 126a are defined. The third cable group 124a is positioned on a third arm of the device 110 and the fourth cable group 126a is positioned on a fourth arm of the device 110. The third and fourth cable groups 124a, 126a are separated from the first and second cable groups 120a, 122a, respectively, by a minimum horizontal separation of 0.24in ± 0. 125in. The minimum horizontal separation corresponds to the distance C2 described with reference to FIG. 1. Each of the cables show n in the cable arrangement 110 have an insulation thickness (J) of about 0. 120 in. and a cable diameter (A2) of about 0.98 in.

[0162] As shown in FIG. 3, a cable arrangement 200 on a device 210 includes eight cables arranged to achieve an individual cable ampacity of 433 amps ± 50 amps at 35 °C ± 5 °C. The cable arrangement 200 and the device 210 is similar to the cable arrangement 100 and the device 110, respectively, described with reference to FIG. 2, so similar elements will not be described in detail, except that the cable support device 210 is a single continuous piece of raw material formed into the necessary geometry to organize the cables into the complex arrangement. In an aspect, the cable support device 210 is a continuous piece of wire that is covered (e.g., coated) in a layer of plastic. In an aspect, the device 210 is manufactured using die casting, extrusion, injection molding, 3D-printing, or stamping. The method of manufacturing advantageously facilitates high-volume production of the devices provided herein.

[0163] As shown in FIG. 4, a cable arrangement 300 on a device 310 includes eight cables arranged to achieve an individual cable ampacity of 455 amps ± 50 amps at 35 °C ± 5°C. The device 310 is generally similar to the cable support device 10 so similar elements of the device 310 will not be described in detail. As shown, two cables (defining a first cable group 120b) are positioned on a first arm of the device 310, such that the two cables are adjacent and tangent to one another at an angle of 35° ± 5° from a horizontal reference plane. Two cables (defining a second cable group 122b) are vertically positioned below the group of cables 120b on a second arm of the device 310, such that a minimum vertical distance between any of the cables of the second cable group 122b to any of the cables the first cable group 120b is 0.46 in. ± 0.25 in. Additionally, the second cable group 122b is arranged similarly to the first cable group 120b except that the cables of the second cable group 122b are positioned at an angle of 18° ± 5° relative to a horizontal reference plane. The four cables of the first and second cable groups 120b, 122b are mirrored across a vertical reference plane, such that a third cable group 124b and a fourth cable group 126b are defined. The third cable group 124b is positioned on a third arm of the device 310 and the fourth cable group 126b is positioned on a fourth arm of the device 310. Each of the third and fourth cable groups 124b, 126b are separated from the first and second cable groups 120a. 122a, respectively, by a minimum horizontal separation of 0.24 in. ± 0.125 in. Each of the cables shown in the cable arrangement 300 have an insulation thickness of about 0. 135 in. and a cable diameter of about 1.08 in.

[0164] As shown in FIG. 5, a cable arrangement 400 on a device 410 includes eight cables arranged to achieve an individual cable ampacity of 433 amps ± 50 amps at 35 °C ± 5 °C. The cable arrangement 400 and the device 410 is similar to the cable arrangement 300 and the device 310, respectively, described with reference to FIG. 4, so similar elements will not be described in detail, except that the cable support device 410 is a single continuous piece of raw material formed into the necessary geometry to organize the cables into the complex arrangement. In an aspect, the device 410 is a continuous piece of wire that is covered in a layer of plastic.

[0165] As shown in FIG. 6, a cable arrangement 500 on a device 510 includes eight cables arranged to achieve an individual cable ampacity of 500 amps ± 50 amps at 35 °C ± 5 °C. The device 510 is generally similar to the device 10 so similar elements of the device 510 will not be described in detail. As shown, two cables (defining a first cable group 120c) are positioned on a first arm of the cable support device 510, such that the two cables areadjacent and tangent to one another at an angle of 35° ± 5° from a horizontal reference plane. Two cables (defining a second cable group 122c) are on a second arm of the device 510 and are vertically positioned below the group of cables 120c, such that a minimum vertical distance between any of the cables of the second cable group 122c to any of the cables the first cable group 120c is 0.36 in. ± 0.25 in. Additionally, the second cable group 122c is arranged similarly to the first cable group 120c except that the cables of the second cable group 122c are positioned at an angle of 21 ° ± 5° relative to a horizontal reference plane. The four cables of the first and second cable groups 120c, 122c are mirrored across a vertical reference plane, such that a third cable group 124c and a fourth cable group 126c are defined. The third cable group 124c is positioned on a third arm of the device 510 and the fourth cable group 126c is positioned on a fourth arm of the device 510. Each of the third and fourth cable groups 124c, 126c are separated from the first and second cable groups 120c, 122c, respectively, by a minimum horizontal separation of 0.24 in. ± 0.125 in. Each of the cables shown in the cable arrangement 300 have an insulation thickness of about 0. 135 in. and a cable diameter of about 1. 18 in.

[0166] As shown in FIG. 7, a cable arrangement 600 on a device 610 includes eight cables arranged to achieve an individual cable ampacity of 500 amps ± 50 amps at 35 °C ± 5 °C. The cable arrangement 600 and the device 610 is similar to the cable arrangement 500 and the device 510, respectively, described with reference to FIG. 6, so similar elements will not be described in detail, except that the cable support device 610 is a single continuous piece of raw material formed into the necessary geometry to organize the cables into the complex arrangement. In an aspect, the device 610 is a continuous piece of wire that is covered in a layer of plastic.

[0167] As shown in FIG. 8, a cable arrangement 700 on a device 710 includes twenty cables arranged to achieve an individual cable ampacity of 431 amps ± 50 amps at 35 °C ± 5 °C. The device 710 is generally similar to the cable support device 10 so similar elements of the device 710 will not be described in detail. As shown, two cables (defining a first cable group 120d) are positioned on a first arm of the device 710, such that the two cables are adjacent and tangent to one another at an angle of 34° ± 5° from a horizontal reference plane. Two cables (defining a second cable group 122d) are on a second arm of the device 710 and are vertically positioned below the group of cables 120d, such that a minimum verticaldistance between any of the cables of the second cable group 122d to any of the cables the first cable group 120d is 0.83 in. ± 0.25 in. Additionally, the second cable group 122d is arranged similarly to the first cable group 120d except that the cables of the second cable group 122d are positioned at an angle of 23° ± 5° relative to a horizontal reference plane. Two cables (defining a third cable group 128d) are on a third arm of the device 710 and are vertically positioned below the cable group 122d, such that a minimum vertical distance between any of the cables of the cable group 128d to any of the cables the cable group 122d is 0.83 in. ± 0.25 in. Additionally, the cable group 128d is positioned at an angle of 10° ± 5° relative to a horizontal reference plane. Two cables (defining a fourth cable group 130d) are on a fourth arm of the device 710 and are vertically positioned below the cable group 128d, such that a minimum vertical distance between any of the cables of the cable group 130d to any of the cables the cable group 128d is 0.83 in. ± 0.25 in. Additionally, the cable group 130d is positioned at an angle of 0° + 5° relative to a horizontal reference plane. Two cables (defining a fifth cable group 132d) are on a fifth arm of the device 710 and are vertically- positioned below the cable group 130d, such that a minimum vertical distance between any of the cables of the cable group 132d to any of the cables the cable group 130d is 0.83 in. ± 0.25 in. Additionally, the cable group 132d is positioned at an angle of 0° + 5° relative to a horizontal reference plane. The ten cables of the cable groups 120d, 122d, 128d, 130d, 132d are mirrored across a vertical reference plane, such that a sixth cable group 124d. a seventh cable group 126d, an eighth cable group 134d, a ninth cable group 136d, and a tenth cable group 138d are defined. The sixth cable group 124d is positioned on a sixth arm of the device 710, with the sixth arm being a mirror of and opposite to the first arm of the device 710. The seventh cable group 126d is positioned on a seventh arm of the device 710, with the seventh arm being a mirror of and opposite to the second arm of the device 710. The eighth cable group 134d is positioned on an eighth arm of the device 710, with the eighth arm being a mirror of and opposite to the third arm of the device 710. The ninth cable group 136d is positioned on a ninth arm of the device 710, with the ninth arm being a mirror of and opposite to the fourth arm of the device 710. The tenth cable group 138d is positioned on a tenth arm of the device 710, with the tenth arm being a minor of and opposite to the fifth arm of the device 710. The cable groups 124d, 126d, 134d, 136d, 138d are separated from the cable groups 120d, 122d, 128d, 130d, 132d, respectively, by a minimum horizontalseparation of 0.37 in. ± 0.125 in. Each of the cables shown in the cable arrangement 700 have an insulation thickness of about 0. 120 in. and a cable diameter of about 0.98 in.

[0168] As shown in FIG. 9, a cable arrangement 800 on a device 810 includes twenty cables arranged to achieve an individual cable ampacity of 431 amps ± 50 amps at 35 °C ± 5 °C. The cable arrangement 800 and the device 810 is similar to the cable arrangement 700 and the device 710, respectively, described with reference to FIG. 8, so similar elements will not be described in detail, except that the cable support device 810 is a single continuous piece of raw material formed into the necessary7geometry7to organize the cables into the complex arrangement. In an aspect, the device 810 is a continuous piece of wire that is covered in a layer of plastic.

[0169] As show n in FIG. 10, a cable arrangement 900 on a device 910 includes twenty cables arranged to achieve an individual cable ampacity of 488 amps ± 50 amps at 35 °C ± 5 °C. The device 910 is generally similar to the cable support devices 10 and 710 so similar elements of the device 910 w ill not be described in detail. As shown, two cables (defining a first cable group 120e) are positioned on a first arm of the device 910, such that the two cables are adjacent and tangent to one another at an angle of 35° ± 5° from a horizontal reference plane. Two cables (defining a second cable group 122e) are on a second arm of the device 910 and are vertically positioned below the group of cables 120e, such that a minimum vertical distance between any of the cables of the second cable group 122e to any of the cables the first cable group 120e is 0.73 in. ± 0.25 in. Additionally, the second cable group 122e is arranged similarly to the first cable group 120e except that the cables of the second cable group 122e are positioned at an angle of 24° ± 5° relative to a horizontal reference plane. Two cables (defining a third cable group 128e) are on a third arm of the device 910 and are vertically positioned below7the cable group 122e, such that a minimum vertical distance betw een any of the cables of the cable group 128e to any of the cables the cable group 122e is 0.73 in. ± 0.25 in. Additionally, the cable group 128e is positioned at an angle of 13° ± 5° relative to a horizontal reference plane. Two cables (defining a fourth cable group 130e) are on a fourth arm of the device 910 and are vertically positioned below the cable group 128e, such that a minimum vertical distance betw een any of the cables of the cable group 130e to any of the cables the cable group 128e is 0.73 in. ± 0.25 in. Additionally, the cable group 130e is positioned at an angle of 0° + 5° relative to a horizontal referenceplane. Two cables (defining a fifth cable group 132e) are on a fifth arm of the device 910 and are vertically positioned below the cable group 130e, such that a minimum vertical distance between any of the cables of the cable group 132e to any of the cables the cable group 130e is 0.73 in. ± 0.25 in. Additionally, the cable group 132e is positioned at an angle of 0° + 5° relative to a horizontal reference plane. The ten cables of the cable groups 120e, 122e, 128e, 130e. 132e are mirrored across a vertical reference plane, such that a sixth cable group 124e, a seventh cable group 126e, an eighth cable group 134e, a ninth cable group 136e, and a tenth cable group 138e are defined and are each positioned on a respective arm, similar to the device 710. Each of the cable groups 124e, 126e, 134e, 136e, 138e are separated from the cable groups 120e, 122e, 128e, 130e, 132e, respectively, by a minimum horizontal separation of 0.24 in. ± 0. 125 in. Each of the cables shown in the cable arrangement 900 have an insulation thickness of about 0. 135 in. and a cable diameter of about 1.08 in.

[0170] As shown in FIG. 11, a cable arrangement 1000 on a device 1010 includes twenty cables arranged to achieve an individual cable ampacity of 488 amps ± 50 amps at 35 °C ± 5 °C. The cable arrangement 1000 and the device 1010 is similar to the cable arrangement 900 and the device 910, respectively, described with reference to FIG. 10, so similar elements will not be described in detail, except that the cable support device 1010 is a single continuous piece of raw material formed into the necessary geometry- to organize the cables into the complex arrangement. In an aspect, the device 1010 is a continuous piece of wire that is covered in a layer of plastic.

[0171] As shown in FIG. 12, a cable arrangement 1100 on a device 1110 includes twenty cables arranged to achieve an individual cable ampacity of 552 amps ± 50 amps at 35 °C ± 5 °C. The device 1 11 is generally similar to the cable support devices 10 and 710 so similar elements of the device 1110 will not be described in detail. As shown, two cables (defining a first cable group 120f) are positioned on a first arm of the device 1110, such that the two cables are adjacent and tangent to 36notherr at an angle of 35° ± 5° from a horizontal reference plane. Two cables (defining a second cable group 122f) are on a second arm of the device 1110 and are vertically positioned below the group of cables 120f, such that a minimum vertical distance between any of the cables of the second cable group 122f to any of the cables the first cable group 120g is 0.63 in. ± 0.25 in. Additionally, the second cable group 122f is arranged similarly to the first cable group 120f except that the cables of thesecond cable group 122f are positioned at an angle of 27° ± 5° relative to a horizontal reference plane. Two cables (defining a third cable group 128f) are on a third arm of the device 1110 and are vertically positioned below the cable group 122f such that a minimum vertical distance between any of the cables of the cable group 128f to any of the cables the cable group 122f is 0.63 in. ± 0.25 in. Additionally, the cable group 128f is positioned at an angle of 17° ± 5° relative to a horizontal reference plane. Two cables (defining a fourth cable group 1301) are on a fourth arm of the device 1110 and are vertically positioned below the cable group 128f, such that a minimum vertical distance between any of the cables of the cable group 130f to any of the cables the cable group 128f is 0.63 in. ± 0.25 in. Additionally, the cable group 130f is positioned at an angle of 6° ± 5° relative to a horizontal reference plane. Two cables (defining a fifth cable group 1321) are on a fifth arm of the device 1110 and are vertically positioned below the cable group 130f, such that a minimum vertical distance between any of the cables of the cable group 132f to any of the cables the cable group 130f is 0.63 in. ± 0.25 in. Additionally, the cable group 132f is positioned at an angle of 0° + 5° relative to a horizontal reference plane. The ten cables of the cable groups 120f, 122f. 128f. 130f. 132f are mirrored across a vertical reference plane, such that a sixth cable group 124e, seventh cable group 126f, eight cable group 134f, ninth cable group 136f, and tenth cable group 138f are defined and are each positioned on a respective arm, similar to the device 710. Each of the cable groups 124f, 126f, 134f, 136f, 138f are separated from the first cable group 120f by a minimum horizontal separation of 0.24 in. ± 0. 125 in. Each of the cables shown in the cable arrangement 900 have an insulation thickness of about 0. 135 in. and a cable diameter of about 1.18 in.

[0172] As shown in FIG. 13. a cable arrangement 1200 on a device 1210 includes twenty cables arranged to achieve an individual cable ampacity of 488 amps ± 50 amps at 35 °C ± 5 °C. The cable arrangement 1200 and the device 1210 is similar to the cable arrangement 1100 and the device 1110, respectively, described with reference to FIG. 12, so similar elements will not be described in detail, except that the cable support device 1210 is a single continuous piece of raw material formed into the necessary geometry to organize the cables into the complex arrangement. In an aspect, the device 1210 is a continuous piece of wire that is covered in a layer of plastic.

[0173] As show n in FIG. 14, a cable arrangement 1300 on a device 1310 includes twenty cables arranged to achieve an individual cable ampacity of 613 amps ± 50 amps at 35 °C ± 5 °C. The device 1310 is generally similar to the devices 10 and 710 so similar elements of the device 1310 will not be described in detail. As shown, two cables (defining a first cable group 120g) are positioned on a first arm of the device 1310, such that the two cables are adjacent and tangent to 38notherr at an angle of 35° ± 5° from a horizontal reference plane. Two cables (defining a second cable group 122g) are on a second arm of the device 1310 and are vertically positioned below the group of cables 120g, such that a minimum vertical distance between any of the cables of the second cable group 122g to any of the cables the first cable group 120g is 0.48 in. ± 0.25 in. Additionally, the second cable group 122g is arranged similarly to the first cable group 120g except that the cables of the second cable group 122g are positioned at an angle of 30° ± 5° relative to a horizontal reference plane. Tw o cables (defining a third cable group 1281) are on a third arm of the device 1310 and are vertically positioned below' the cable group 122g, such that a minimum vertical distance between any of the cables of the cable group 128g to any of the cables the cable group 122g is 0.48 in. ± 0.25 in. Additionally, the cable group 128g is positioned at an angle of 22° ± 5° relative to a horizontal reference plane. Two cables (defining a fourth cable group 130g) are on a fourth arm of the device 1310 and are vertically positioned below' the cable group 128g, such that a minimum vertical distance between any of the cables of the cable group 130g to any of the cables the cable group 128g is 0.48 in. ± 0.25 in. Additionally, the cable group 130g is positioned at an angle of 13° ± 5° relative to a horizontal reference plane. Two cables (defining a fifth cable group 132g) are on a fifth arm of the device 1310 and are vertically positioned below the cable group 130g, such that a minimum vertical distance betw een any of the cables of the cable group 132g to any of the cables the cable group 130g is 0.48 in. ± 0.25 in. Additionally, the cable group 132g is positioned at an angle of 0° + 5° relative to a horizontal reference plane. The ten cables of the cable groups 120g, 122g, 128g, 130g, 132g are mirrored across a vertical reference plane, such that a sixth cable group 124e, seventh cable group 126g, eight cable group 134g, ninth cable group 136g, and tenth cable group 138g are defined and are each positioned on a respective arm. similar to the device 710. Each of the cable groups 124g, 126g, 134g, 136g, 138g are separated from the first cable group 120g by a minimum horizontal separation of 0.24 in. ± 0. 125 in. Each of the cables show n inthe cable arrangement 900 have an insulation thickness of about 0.135 in. and a cable diameter of about 1.33 in.

[0174] As shown in FIG. 15, a cable arrangement 1400 on a device 1410 includes twenty cables arranged to achieve an individual cable ampacity of 613 amps ± 50 amps at 35 °C ± 5 °C. The cable arrangement 1400 and the device 1410 is similar to the cable arrangement 1300 and the device 1310, respectively, described with reference to FIG. 14, so similar elements will not be described in detail, except that the cable support device 1410 is a single continuous piece of raw material formed into the necessary' geometry to organize the cables into the complex arrangement. In an aspect, the device 1410 is a continuous piece of wire that is covered in a layer of plastic.

[0175] Aspects of complex cable arrangements are described herein. In an aspect, as shown in FIG. 16, a cable arrangement 1500 includes eight cables arranged in four cable groups in a generally similar fashion as the arrangement 110 described with reference to FIG.2. As shown, the cables are organized such that a minimum vertical distance between adjacent cable groups (e.g., a first cable group 1520 and a second cable group 1522) is 0.26 in. ± 0.25 in. Additionally, the cable group 1522 is separated from a third cable group 1524 by a minimum horizontal distance of 0.33 in. ± 0. 125 in. Each of the cables shown in the cable arrangement 1500 have an insulation thickness of about 0. 120 in. and a cable diameter of about 0.98 in.

[0176] An aspect of a cable arrangement 1600 is shown in FIG. 17. The cable arrangement 1600 includes twelve cables arranged in six cable groups. As shown, the cables are organized such that a minimum vertical distance between adjacent cable groups (e.g., a first cable group 1620 and a second cable group 1622) is 0.69 in. ± 0.25 in. Additionally, the cable group 1622 is separated from a third cable group 1624 by a minimum horizontal distance of 0.33 in. ± 0. 125 in. Each of the cables shown in the cable arrangement 1600 have an insulation thickness of about 0. 120 in. and a cable diameter of about 0.98 in.

[0177] An aspect of a cable arrangement 1700 is shown in FIG. 18. The cable arrangement 1700 includes sixteen cables arranged in eight cable groups. As shown, the cables are organized such that a minimum vertical distance between adjacent cable groups (e.g., a first cable group 1720 and a second cable group 1722) is 0.75 in. ± 0.25 in.Additionally, the cable group 1722 is separated from a third cable group 1724 by a minimum horizontal distance of 0.33 in. ± 0. 125 in. Each of the cables shown in the cable arrangement 1700 have an insulation thickness of about 0.120 in. and a cable diameter of about 0.98 in.

[0178] An aspect of a cable arrangement 1800 is shown in FIG. 19. The cable arrangement 1800 includes twenty cables arranged in ten cable groups. As shown, the cables are organized such that a minimum vertical distance between adjacent cable groups (e.g.. a first cable group 1820 and a second cable group 1822) is 0.83 in. ± 0.25 in. Additionally, the cable group is separated from a third cable group 1824 by a minimum horizontal distance of 0.37 in. ± 0. 125 in. Each of the cables shown in the cable arrangement 1800 have an insulation thickness of about 0. 120 in. and a cable diameter of about 0.98 in.

[0179] An aspect of a cable arrangement 1900 is shown in FIG. 20. The cable arrangement 1900 includes eight cables arranged in four cable groups. As shown, the cables are organized such that a minimum vertical distance between adjacent cable groups (e.g., a first cable group 1920 and a second cable group 1922) is 0.46 in. ± 0.25 in. Additionally, the cable group 1920 is separated from a third cable group 1924 by a minimum horizontal distance of 0.24 in. ± 0. 125 in. The cable group 1920 is positioned at an angle of 33° ± 5° relative to a horizontal reference plane. The cable group 1922 is positioned at an angle of 18° ± 5° relative to a horizontal reference plane. Each of the cables shown in the cable arrangement 1900 have an insulation thickness of about 0. 135 in. and a cable diameter of about 1.08 in.

[0180] An aspect of a cable arrangement 2000 is shown in FIG. 21. The cable arrangement 2000 includes twelve cables arranged in six cable groups. As shown, the cables are organized such that a minimum vertical distance between adjacent cable groups (e.g., a first cable group 2022 and a second cable group 2024) is 0.59 in. ± 0.25 in. Additionally, the cable group 2024 is separated from a third cable group 2026 by a minimum horizontal distance of 0.24 in. ± 0.125 in. The cable group 2020 is positioned at an angle of 35° ± 5° relative to a horizontal reference plane. The cable group 2022 is positioned at an angle of 18° ± 5° relative to a horizontal reference plane. The cable group 2024 is positioned at an angle of 0° + 5° relative to a horizontal reference plane. Each of the cables shown in the cable arrangement 2000 have an insulation thickness of about 0. 135 in. and a cable diameter of about 1.08 in.

[0181] An aspect of a cable arrangement 2100 is shown in FIG. 22. The cable arrangement 2100 includes sixteen cables arranged in eight cable groups. As shown, the cables are organized such that a minimum vertical distance between adjacent cable groups (e.g., a first cable group 2126 and a second cable group 2124) is 0.65 in. ± 0.25 in. Additionally, the cable group 2126 is separated from a third cable group 2128 by a minimum horizontal distance of 0.24 in. ± 0.125 in. A fourth cable group 2120 is positioned at an angle of 35° ± 5° relative to a horizontal reference plane. The cable group 2122 is positioned at an angle of 21 ° ± 5° relative to a horizontal reference plane. The cable group 2124 is positioned at an angle of 6° ± 5° relative to a horizontal reference plane. The cable group 2126 is positioned at an angle of 0° + 5° relative to a horizontal reference plane. Each of the cables shown in the cable arrangement 2100 have an insulation thickness of about 0. 135 in. and a cable diameter of about 1.08 in.

[0182] An aspect of a cable arrangement 2200 is shown in FIG. 23. The cable arrangement 2200 includes twenty cables arranged in ten cable groups. As shown, the cables are organized such that a minimum vertical distance between adjacent cable groups (e.g., a first cable group 2228 and a second cable group 2226) is 0.73 in. ± 0.25 in. Additionally, the cable group 2228 is separated from a third cable group 2230 by a predetermined minimum horizontal distance. A fourth cable group 2220 is positioned at an angle of 35° ± 5° relative to a horizontal reference plane. The cable group 2222 is positioned at an angle of 24° ± 5° relative to a horizontal reference plane. The cable group 2224 is positioned at an angle of 13° ± 5° relative to a horizontal reference plane. The cable group 2226 is positioned at an angle of 0° + 5° relative to a horizontal reference plane. The cable group 2228 is positioned at an angle of 0° + 5° relative to a horizontal reference plane. Each of the cables shown in the cable arrangement 2200 have an insulation thickness of about 0. 135 in. and a cable diameter of about 1.08 in.

[0183] The devices (e.g.. cable support devices) described herein can be characterized by one or more dimensions. The one or more dimensions of the devices can correspond to the positioning of cables positioned thereon. An aspect of a device 2300 is shown in FIG. 24. The device 2300 is generally similar to the cable support device 10 so similar elements of the device 2300 will not be described in detail. The device 2300 includes a first arm 2352, a second arm 2354, a third arm 2356, and a fourth arm 2358. Each of the arms 2352-2358 areconfigured to receive at least one cable thereon, and are generally similar to the arms 152-158 described with reference to FIG. 1. Additionally, as shown in FIG. 24, the device 2300 includes a fifth arm 2360 and a sixth arm 2362, with the fifth arm 2360 positioned below the second arm 2354 and the sixth arm 2362 being a mirror of and extending opposite to the fifth arm 2360. In an aspect, the device 2300 includes a hook (not shown) that is integrally formed with an end of the spine 2350 that is adjacent the arms 2352 and 2356, in a manner similar to the device 10.

[0184] Each of the arms of the device 2300 can have one or more portions. The first arm 2352 includes a first portion 2352a and a second portion 2352b. The first portion 2352a is connected to a spine 2350. which is similar to the spine 150 described with reference to FIG. 1 . The first portion 2352a is substantially linear, such that the first portion 2352a is parallel to a reference plane P, which is perpendicular to the spine 2350. The second portion 2352b extends at an angle pi relative to the reference plane P and is substantially linear. The second arm 2354 includes a first portion 2354a, a second portion 2354b, and a third portion 2354c. The first portion 2354a is connected to a spine 2350. The first portion 2354a is substantially linear, such that the first portion 2354a is parallel to the reference plane P. The second portion 2354b extends at an angle P2 relative to the reference plane P and is substantially linear. Additionally, the third portion 2354c extends at an angle relative to the second portion 2354b and defines a curved end of the arm 2354. Similarly, the fifth arm 2360 includes a first portion 2360a, a second portion 2360b, and a third portion 2360c. The first portion 2360a is substantially linear, such that the first portion 2360a is parallel to a reference plane defined by a ground surface. The second portion 2360b extends at an angle P3 relative to the reference plane P and is substantially linear. Additionally, the third portion 2360c extends at an angle relative to the second portion 2360b and defines a curved end of the arm 2354.

[0185] The angles pi, P2, P3 can at least partially determine a cable ampacity. In an aspect, the first angle pi corresponds to the angle 01 described with reference to FIG. 1. Additionally, in an aspect, the second angle P2 corresponds to the angle 02 described with reference to FIG. 1. The angles pi, P2, P3 thus at least partially determine the angles of any cables positioned on the respective arms. In an aspect, the first angle pi can be about 34° ± 5°, the second angle P2 can be about 15° ± 5°. and the third angle P3 can be about 0° ± 5°,which can contribute to a cable ampacity of about 411 amps ± 50 amps. In an aspect, the first angle pi can be about 35° ± 5°, the second angle 2 can be about 25° ± 5°, and the third angle 3 can be about 11° ± 5°, which can contribute to a cable ampacity of about 606 amps ± 50 amps. In an aspect, each of the angles i, 2, P3 can be between about 0° and about 40°, including all values and sub-ranges therein. In an aspect, the angle pi is between about 30° and about 40°, the angle P2 is between about 10° and about 30°, and the angle P3 is between about 0° and about 10°. The value of each of the angles pi, P2, P3 can be optimized to achieve the cable ampacities of the complex arrangements described herein. In an aspect, the device 230 can include fewer than the six arms shown, such that one or more of the angles pi, P2, P3 is not defined. In an aspect, the device 2300 can include greater than the six arms shown, such that one or more additional angles is defined.

[0186] The portions of the arms described herein can define one or more distances that can be used to characterize the devices. In an aspect, a first distance 2322 can be measured between the first portion 2354a of the arm 2354 and the first portion 2360a of the arm 2360. In an aspect, the distance 2322 can be between about 0.25 inches and about 1.5 inches, including all values and sub-ranges therein. Additionally, a second distance 2324 can be measured betw een the second portion 2354b of the arm 2354 and the second portion 2360b of the arm 2360. In an aspect, the distance 2324 can be between about 0.25 inches and about 1.5 inches, including all values and sub-ranges therein. Further, a third distance 2326 can be measured between the third portion 2354c of the arm 2354 and the third portion 2360c of the arm 2360. In an aspect, the distance 2326 can be between about 0.25 inches and about 1.5 inches, including all values and sub-ranges therein. The distances 2322. 2324, 2326 at least partially correspond to a cable ampacity, such that each distance can be optimized in accordance with the complex arrangements described herein. Furthermore, each of the arms of the device 2300 can be separated by similar distances as described for the arms 2354, 2360. In an aspect, a distance between the second portion 2352b and the second portion 2354b is equivalent to the distance 2324 that is measured between the second portion 2354b and the second portion 2360b. Additionally, a height H can be measured between the arm 2362 and the arm 2356. The height H can be between about 4 inches and about 12 inches, including all values and sub-ranges therein. The height H can be optimized according to a target cable ampacity and corresponds to the number of arms of a given cable support device and a distance between adjacent arms (e.g., the distance 2324).

[0187] In addition to the distances between portions of arms positioned vertically with respect to each other, one or more dimensions can be defined by portions of arms positioned horizontally with respect to each other. In an aspect, a first width W1 can be measured between the end of the arm 2360 (e.g., the third portion 2360c) and an end of the arm 2362 (e.g., a corresponding third portion thereof). As shown, the first width W1 corresponds to the bottom-most pair of arms (e.g.. adjacent a ground surface). The first width W1 can be between about 5 inches and about 7 inches, including all values and sub-ranges therein. The first width W1 can be optimized according to a target cable ampacity and corresponds to a length of one or more arms of a given cable support device, with the length being adjustable to accommodate a quantity of cables thereon. In another example, a second width W2 can be measured between an end of the arm 2356 and an end of the arm 2352. As shown, the second width W2 corresponds to the top-most pair of arms (e.g., furthest from a ground surface). The second width W2 can be betw een about 3 inches and about 6 inches, including all values and sub-ranges therein. The second width W2 can be optimized according to a target cable ampacity and corresponds to a length of one or more arms of a given cable support device, with the length being adjustable to accommodate a quantity of cables thereon. In an aspect, a third width W3 can be measured between an end of the arm 2360 and the arm 2362. The third width W3 corresponds to the horizontal separation between the arms 2360, 2362. In an aspect, the third width W3 corresponds to the distance C2 described with reference to FIG. 1. In an aspect, the distance W3 can be between about 0. 1 inches and about 1 inch. The value of each of the distances can be optimized to achieve the cable ampacities of the complex arrangements described herein.

[0188] The distances described with reference to FIG. 24 can at least partially determine a cable ampacity. In an aspect, the distance 2324 can be about 0.69 inches and the distance W3 can be about 0.33 inches, which can correspond to a cable ampacity of about 411 amps ± 50 amps. In an aspect, the distance 2324 can be about 0.34 inches and the distance W3 can be about 0.24 inches, which can correspond to a cable ampacity of about 606 amps ± 50 amps. In an aspect, the distances 2324, W3 can be optimized to achieve the cable ampacities of the complex arrangements described herein.

[0189] An aspect of a device 2400 is shown in FIG. 25. The device 2400 is generally similar to the cable support device 2300 so similar elements of the device 2400 will not bedescribed in detail. Similar to the device 2300, the device 2400 includes six arms, including a first arm 2452, a second arm 2454, a third arm 2456, a fourth arm 2458, a fifth arm 2460, and a sixth arm 2462, each of which extends from a spine 2450. In an aspect, the device 2400 includes a hook (not shown) that is integrally formed with an end of the spine 2450 that is adjacent the arms 2452 and 2456. A first width corresponds to a distance between an end of the arm 2460 and an end of the arm 2462. As shown, the first width is 5.866 in. ± 0.050 in. Additionally, a second width corresponds to a distance between an end of the arm 2456 and an end of the arm 2452. The second width is 4.016 in. ± 0.050 in. Further, a first distance between a first portion of the arm 2460 and a first portion of the arm 2454 is 1.260 in. ± 0.020 in., with the first distance corresponding to the distance 2322 described with reference to FIG. 24. Additionally, a second distance between a second portion of the arm 2460 and a second portion of the arm 2454 is 1.299 in. ± 0.060 in., with the second distance corresponding to the distance 2324 described with reference to FIG. 24. Additionally, a third distance between a third portion of the arm 2460 and a third portion of the arm 2454 is 1.182 in. ± 0.060 in., with the third distance corresponding to the distance 2326 described with reference to FIG. 24.

[0190] An aspect of a device 2500 is shown in FIG. 26. The device 2500 is generally similar to the cable support device 2300 so similar elements of the device 2500 w ill not be described in detail. The device 2500 includes eight arms, including a first arm 2552, a second arm 2554, a third arm 2556, a fourth arm 2558, a fifth arm 2560, a sixth arm 2562, a seventh arm 2564, and an eighth arm 2566, each of which extends from a spine 2550. In an aspect, the device 2500 includes a hook (not show n) that is integrally formed with an end of the spine 2550 that is adjacent the arms 2552 and 2560. A first width corresponds to a distance between an end of the arm 2560 and an end of the arm 2552. As shown, the first width is 4.838 in. ± 0.050 in. Additionally, a second width corresponds to a distance between an end of the arm 2566 and an end of the arm 2558. The second width is 6.457 in. ± 0.050 in. Further, a distance between a first portion of the arm 2558 and a first portion of the arm 2556 is 1.437 in. ± 0.020 in., with the first distance corresponding to the distance 2322 described with reference to FIG. 24. Additionally, a second distance between a second portion of the arm 2556 and a second portion of the arm 2554 is 1.437 in. ± 0.060 in., with the second distance corresponding to the distance 2324 described with reference to FIG. 24.Additionally, a third distance between a third portion of the arm 2556 and a third portion ofthe arm 2554 is 1.319 in. ± 0.060 in., with the third distance corresponding to the distance2326 described with reference to FIG. 24.

[0191] An aspect of a device 2600 is shown in FIG. 27. The device 2600 is generally similar to the cable support device 2300 so similar elements of the device 2600 will not be described in detail. The device 2600 includes ten arms, including a first arm 2652, a second arm 2654, a third arm 2656, a fourth arm 2658, a fifth arm 2560, a sixth arm 2662. a seventh arm 2664, an eighth arm 2666, a ninth arm 2668, and a tenth arm 2670, each of which extends from a spine 2650. In an aspect, the device 2600 includes a hook (not shown) that is integrally formed with an end of the spine 2650 that is adjacent the arms 2652 and 2662. A first width corresponds to a distance between an end of the arm 2660 and an end of the arm 2670. As shown, the first width is 6.496 in. ± 0.050 in. Additionally, a second width corresponds to a distance betw een an end of the arm 2662 and an end of the arm 2652. The second width is 4.838 in. ± 0.050 in. Further, a distance between a first portion of the arm 2658 and a first portion of the arm 2656 is 1.496 in. ± 0.020 in., with the first distance corresponding to the distance 2322 described with reference to FIG. 24. Additionally, a second distance betw een a second portion of the arm 2656 and a second portion of the arm 2654 is 1.437 in. ± 0.060 in., with the second distance corresponding to the distance 2324 described with reference to FIG. 24. Additionally, a third distance between a third portion of the arm 2656 and a third portion of the arm 2654 is 1.319 in. ± 0.060 in., with the third distance corresponding to the distance 2326 described with reference to FIG. 24.

[0192] An aspect of a device 2700 is shown in FIG. 28. The device 2700 is generally similar to the cable support device 2300 so similar elements of the device 2700 will not be described in detail. The device 2700 includes twelve arms, including a first arm 2752, a second arm 2754, a third arm 2756, a fourth arm 2758, a fifth arm 2760, a sixth arm 2762, a seventh arm 2764, an eighth arm 2766, a ninth arm 2768, a tenth arm 2770. an eleventh arm 2772, and a twelfth arm 2774, each of which extends from a spine 2750. In an aspect, the device 2700 includes a hook (not shown) that is integrally formed with an end of the spine 2750 that is adjacent the arms 2752 and 2764. A first width corresponds to a distance betw een an end of the arm 2774 and an end of the arm 2762. As show n, the first width is 6.535 in. ± 0.050 in. Additionally, a second width corresponds to a distance between an end of the arm 2764 and an end of the arm 2752. The second width is 4.838 in. ± 0.050 in.Further, a distance between a first portion of the arm 2758 and a first portion of the arm 2756 is 1.575 in. ± 0.020 in., with the first distance corresponding to the distance 2322 described with reference to FIG. 24. Additionally, a second distance between a second portion of the arm 2756 and a second portion of the arm 2754 is 1.437 in. ± 0.060 in., with the second distance corresponding to the distance 2324 described with reference to FIG. 24.Additionally, a third distance between a third portion of the arm 2756 and a third portion of the arm 2754 is 1.319 in. ± 0.060 in., with the third distance corresponding to the distance 2326 described with reference to FIG. 24.

[0193] An aspect of a device 2800 is shown in FIGS. 29A-29D. Similar to the device 2600 shown in FIG. 27, the device 2700 includes ten arms. As shown, the device 2800 includes a first arm 2802, a second arm 2804, a third arm 2806, a fourth arm 2808, a fifth arm 2810, a sixth arm 2812, a seventh arm 2814, an eighth arm 2816, a ninth arm 2818, and a tenth arm 2820, each of which extends from a spine 2850. As shown in FIG. 29D, a first width corresponds to a distance between an end of the arm 2810 and an end of the arm 2820. As shown, the first width is 8.7 in. ± 0.050 in. Additionally, the device 2800 includes a hook 2830 positioned at an end of the spine 2850. As shown in FIG. 29D, a height can be defined betw een a portion of the hook 2830 and a portion of the arm 2820. As shown, the height is 10.3 in. ± 0.050 in. Additionally, a thickness of the device 2800 can be defined by a portion of the hook 2830, which, as shown in FIG. 29B. corresponds to the thickest portion of the device 2800. As shown, the hook 2830 has a thickness of 0.8 in. ± 0.050 in. Furthermore, each of the arms has a cross-sectional shape. As show n in FIG. 29C, a cross-sectional shape of the arm 2810 is an oblong oval having a radius of 0.24 in. A thickness of the arm 2810 is 0.5 in. ± 0.050 in.

[0194] Furthermore, as shown in FIG. 29D, a plurality of cables is positioned on the device 2800. In an aspect, three cables 2876 are positioned on the arm 2804. As shown, three cables are also positioned on the arms 2806. 2808, 2810, 2814, 2816, 2818, 2820 of the device 2800. In an aspect, alternative cable types are positioned on the device. As shown, a string cabling 2864 is positioned on the arm 2812 and tracker control cabling 2862 is positioned on the arm 2802.

[0195] The device 2800. also referred to as a cable support device, is configured to provide a safe, reliable, and easy-to-install solution for above-ground cable management. Thedevice 2800 is formed of a material having relatively high corrosion resistance and relatively high mechanical strength, such as corrosion resistant die-cast aluminum. Furthermore, the device 2800 has a mass of between about 0.5 lbs. and about 0.8 lbs., such as about 0.65 lbs. Each arm (i.e., saddle) of the device 2800 is configured to receive a plurality of cables weighing up to about 20 lbs. A total capacity of the device 2800 is up to 24 power cables in addition to a plurality of string cable and tracker cabling.

[0196] An aspect of a device 2900 is shown in FIGS. 30A-30D. Similar to the device 2700 shown in FIG. 28, the device 2900 includes twelve arms. As shown, the device 2800 includes a first arm 2902, a second arm 2904, a third arm 2906, a fourth arm 2908, a fifth arm 2910, a sixth arm 2912, a seventh arm 2914. an eighth arm 2916, a ninth arm 2918, a tenth arm 2920, an eleventh arm 2922, and a twelfth arm 2924, each of which extends from a spine 2950. As shown in FIG. 30D, a first width corresponds to a distance betw een an end of the arm 2924 and an end of the arm 2912. As show n, the first width is 8.8 in. ± 0.050 in.Additionally, the device 2900 includes a hook 2930 positioned at an end of the spine 2950. As shown in FIG. 29D, a height can be defined between a portion of the hook 2930 and a portion of the arm 2920. As shown, the height is 12.4 in. ± 0.050 in. Additionally, a thickness of the device 2900 can be defined by a portion of the hook 2930, which, as shown in FIG. 30B, corresponds to the thickest portion of the device 2900. As shown, the hook 2930 has a thickness of 0.8 in. ± 0.050 in. Furthermore, each of the arms has a cross-sectional shape. As shown in FIG. 30C, a cross-sectional shape of the arm 2910 is an oblong oval having a radius of 0.24 in. A thickness of the arm 2910 is 0.5 in. ± 0.050 in.

[0197] Furthermore, as shown in FIG. 30D, a plurality of cables is positioned on the device 2900. In an aspect, three cables 2960 are positioned on the arm 2904. As shown, three cables are also positioned on the arms 2906, 2908, 2910, 2912, 2916, 2918, 2920, 2922, 2924 of the device 2900. As another example, alternative cable ty pes are positioned on the device. As shown, a string cabling 2964 is positioned on the arm 2914 and tracker control cabling 2962 is positioned on the arm 2902.

[0198] The device 2900, also referred to as a cable support device, is configured to provide a safe, reliable, and easy-to-install solution for above-ground cable management. The device 2900 is formed of a material having relatively high corrosion resistance and relatively high mechanical strength, such as corrosion resistant die-cast aluminum. Furthermore, thedevice 2800 has a mass of between about 0.6 lbs. and about 1 lb., such as about 0.83 lbs. Each arm (i.e. , saddle) of the device 2900 is configured to receive a plurality of cables weighing up to about 20 lbs. A total capacity of the device 2900 is up to 30 power cables in addition to a plurality of string cable and tracker cabling.

[0199] An aspect of a device 3400 is shown in FIG. 49. Similar to the device 2500 shown in FIG. 26, the device 2900 includes eight arms. As shown, the device 3400 includes a first arm 3452, a second arm 3454, a third arm 3456, a fourth arm 3458, a fifth arm 3460, a sixth arm 3462, a seventh arm 3464, and an eighth arm 3466, each of which extends from a spine 3450. The device 3400 further includes a hook 3430 extending from an upper end of the spine 3450. The hook 3430 is configured to contact a messenger cable, similar to the other hooks described herein. Additionally, the arms of the device 2900 are each configured to receive at least one cable. As shown, a cable 3420h is positioned on the arm 3452, a cable 3422h is positioned on the arm 3452, a pair of cables 3424h is positioned on the arm 3456, a pair of cables 3426h is positioned on the arm 3458, a cable 3428h is positioned on the arm 3460, a cable 3430h is positioned on the arm 3462, a pair of cables 3432h is positioned on the arm 3464, and a pair of cables 3434h is positioned on the arm 3466. As shown, the number of cables positioned on each arm need not be equivalent (e.g., the cable 3420h on arm 3452 compared to the pair of cables 3424h on arm 3456). Additionally, the quantity of cables positioned on the upper arms (e.g.. 3452, 3460) is less than the quantity of cables positioned on the lower arms (e.g., 3458, 3466). Advantageously, positioning fewer cables on the upper arms compared to the lower arms increase the air flow' to the cables positioned on the low er arms, w hich results in an increase cable ampacity in each of the cables on the device 3400. The arrangement of cables shown in FIG. 49 can be imputed to any of the devices described herein, such that any of the devices can have zero, one, two, or three power cables positioned on a given arm, in accordance with the methods, devices, and advantages described herein.

[0200] An aspect of a device 3500 is shown in FIGS. 54A-54B. The device 3500 is generally similar to the device 210 so similar elements of the device 3500 will not be described in detail. The device 3500 is a single continuous piece of raw7material formed into the necessary' geometry' to organize a plurality of cables into a complex arrangement. The device 3500 includes a first arm 3552, a second arm 3554, a third arm 3556, a fourth arm 3558, a fifth arm 3560. and a sixth arm 3562. The arms 3558. 3560, 3562 are mirrored andopposite to the respective arms 3552, 3554, 3556. Each of the arms 3552-3562 define a first portion and a second portion, with the first and second portions being connected by a curved portion. The first portion (e.g., an upper portion relative to a ground surface) of each of the arms 3552-3562 is configured to receive at least one cable thereon. The arms 3560, 3562 each include a free end configured to hook onto one or more cables or support structures. Additionally, the device 3500 includes a curved portion 3550 that defines an attachment point for the device 3500. As shown in FIG. 54B. the device 3500 is configured to be positioned to a cable 3570 (e.g., a messenger cable) via the curved portion 3550 while a plurality of cables 3572 are positioned at least one arm (e.g., the arms 3562, 3556) of the device 3500.

[0201] Summary tables of at least some of the dimensions and aspects described herein are provided in FIGS. 31 -34. In an aspect, FIG. 31 provides a summary of at least some of the dimensions of at least some of the embodiments having four arms. In an aspect, FIG. 50 provides a summary of at least some of the dimensions of at least some of aspects having at least four arms. In an aspect. FIG. 32 provides a summary of at least some of the dimensions of at least some of the aspects having six arms. In an aspect, FIG. 33 provides a summaiy of at least some of the dimensions of at least some of the embodiments having eight arms. In an aspect, FIG. 34 provides a summary' of at least some of the dimensions of at least some of the embodiments having ten arms. In an aspect, FIGS. 51 A-51D provide a summaiy of simulated cable ampacities corresponding to at least some of the dimensions of at least some of the embodiments having between four arms and 10 arms. FIG. 5 IE provides a legend for the tables provided in FIGS. 51A-51D.

[0202] An exemplars’ aspect of a Cable Ampacity and Support Device Calculation Table for Cables organized in various complex arrangements is depicted below in Table 1 . Table 1 includes calculation results of cable ampacities and support device surface areas at various cable arrangement variables to determine optimized cable ampacity and materialefficient support device for a specific project scenario.Table 1

[0203] A variety of look-up tables can be used in accordance with the devices and methods described herein. In an aspect, FIG. 35 shows an aspect of a look-up table for cable ampacity of cables organized in complex arrangements. The look-up table of FIG. 35 provides specific cable ampacity values for conductors of varying types and at various temperatures when the cables are organized in the cable arrangement 1500 shown in FIG. 16. In an aspect, FIG. 37 shows an aspect of a look-up table for cable ampacity of cables organized in complex arrangements. The look-up table of FIG. 37 provides specific cable ampacity values for conductors of varying types and at various temperatures when the cables are organized in the cable arrangement 1600 shown in FIG. 17. In an aspect, FIG. 39 shows an aspect of a look-up table for cable ampacity of cables organized in complex arrangements. The look-up table of FIG. 39 provides specific cable ampacity values for conductors of varying types and at various temperatures when the cables are organized in the cable arrangement 1700 shown in FIG. 18. In an aspect, FIG. 41 shows an aspect of a look-up table for cable ampacity of cables organized in complex arrangements. The look-up table of FIG. 41 provides specific cable ampacity values for conductors of varying types and at various temperatures when the cables are organized in the cable arrangement 1800 shown in FIG. 19.

[0204] The cable ampacity of cables arranged in example complex arrangements described herein can be characterized and illustrated in a graph. In an aspect, FIG. 36 plots a cable ampacity value as a function of temperature for different cable types (e.g., cable sizes) when the cables are organized in cable arrangement 1500. In an aspect, FIG. 38 plots a cableampacity value as a function of temperature for different cable types (e.g., cable sizes) when the cables are organized in cable arrangement 1600. In an aspect, FIG. 40 plots a cable ampacity value as a function of temperature for different cable types (e.g., cable sizes) when the cables are organized in cable arrangement 1700. In an aspect, FIG. 42 plots a cable ampacity value as a function of temperature for different cable types (e.g., cable sizes) when the cables are organized in cable arrangement 1800.

[0205] An aspect of a computational fluid dynamics simulation for producing cable ampacity results is provided in FIG. 43. The simulation is performed for cables organized in cable arrangement 1600 and the maximum cable temperature of 89.1586 °C is displayed, which occurs on at least one of the cables in the cable group 1622 shown in FIG. 17. An aspect of a computational fluid dynamics simulation for producing cable ampacity results is provided in FIG. 44. The simulation is performed for cables organized in cable arrangement 1700 and the maximum cable temperature of 89.4879 °C is displayed. The results from each of FIG. 43 and FIG. 44 are used to derive cable ampacity formulas, correction factors, and lookup tables.

[0206] The cables (e.g., the cables 121a, 121b) can be arranged in a variety of complex arrangements that correspond to an optimized cable performance (e.g., cable ampacity). The cable ampacity corresponds to one or more of an angle of at least two cables on a given arm relative to a reference plane, a minimum vertical distance between cables on a given arm relative to cables on another arm directly below or above the given arm, and a minimum horizontal distance between cables on a given arm and cables on another arm on an opposite side of the spine of the cable supporting device. The cable ampacity can be optimized by utilizing the devices and methods described herein.

[0207] FIG. 45 provides an exemplary method 3000 for determining optimized cable arrangements and material-efficient support devices. At a step 3002, a cable ampacity target for a specific project (e.g., a solar power generation plant) is determined. The cable ampacity target is typically determined by the Electrical Engineer responsible for designing the power (e.g., DC power) collection details of the solar generation plant. The cable ampacity target corresponds to an expected power load of a given cable for the given solar generation plant. At a step 3006, a total quantity (e.g., amount) of power cables being used for the specific project is determined. The total quantity of power cables can correspond to a total power loadof the specific project. At a step 3008, an average ambient temperature for the area in which the cables will be located is determined. The average ambient temperature can be determined by referencing current and / or historical weather data, such as the American Society of Heating, Refrigerating and Air-Conditioning Engineers (ASHRAE) climatic design considerations.

[0208] The use of a statistical procedure for planning experiments, such as a full factorial design of experiments, can be utilized to generate a list of possible combinations of various parameters. The various parameters can include any of the parameters described herein. In an aspect, the method 3000 includes a step 3010 that includes determining a minimum vertical spacing between cables (e.g., the distance between a first cable on a first arm and a second cable on a second arm, with the second arm being directly below the first arm) in a given arrangement. The minimum vertical spacing is determined by selecting a target spacing from a list of predetermined spacing, such as about 0.25 in, about 0.50 in, about 0.75 in., or about 1.0 in. At a step 3012, a minimum horizontal spacing between the cables is determined by selecting a target spacing from a list of predetermined spacing, such as about 0.1 in, about 0.25 in, or about 0.5 in. At a step 3014, a quantity (e.g., amount) of cable saddles to be positioned on a given support device is determined by selecting a sufficient quantity of saddles to hold a required quantity of cables. At a step 3016, a quantity of cables in each cable saddle is determined based on the previous calculations of spacing and the quantity of cable saddles. At a step 3018, an angle between adjacent cables in a given cable saddle is determined.

[0209] The method 300 further includes a step 3020, which includes determining a cable ampacity (CA). The cable ampacity is determined by using the following equation, Equation 1, based on the determined variables above:CA = y + Al X A2 + Bl X B2 + Cl X C2 + DI X D2 + El X E2 + Fl X F2 + G1 X G2 where y, Al, Bl, Cl, DI, El, Fl, and G1 are constants derived from experimental data and simulations, with y being an intercept value. A2 is the diameter of a given cable, B2 is the minimum vertical spacing between cables in vertically adjacent cable saddles, C2 is the minimum horizontal spacing between cables in horizontally adjacent cable saddles, D2 is theambient temperature, E2 is the quantity7of cables in a given cable saddle, F2 is the quantity of saddles, and G2 is the angle between cables in a given cable saddle.

[0210] The method 3000 further includes, at a step 3022, determining a surface area of a support device (e.g., a cable support device) suitable for receiving the required quantity7of cables and cable saddles. The surface area of a suitable support device is calculated using the below equation, Equation 2:Support Device Surface Area = H + (F2 * / ) where H is a surface area of a support device spine, F2 is the quantity of Saddles, and I is a surface area of a saddle arm. The surface area of a cable support device spine, H, is calculated using the following equation, Equation 3:where A2 is the diameter of a given cable. F2 is the quantity of saddles, and C2 is the minimum horizontal spacing between cables in horizontally adjacent saddles. Additionally, the surface area of a saddle arm, I, is calculated using the follow ing equation, Equation 4:I = J * (A2 + E2) where A2 is the diameter of a given cable, E2 is the quantity7of cables in a given cable saddle, and J is a constant derived from the thickness of an insulating material of the selected cables.

[0211] The method 3000 further includes, at a step 3024, determining an optimized cable arrangement. The optimized arrangement is the set of variables that produces the target ampacity with the least amount of support device surface area. The optimized arrangement will result in the most cost-effective support device for project-specific cable ampacity requirements, which advantageously minimizes the cost to construct and operate is extremely advantageous solar power generation plants.

[0212] FIG. 46 provides an exemplary method 3100 for determining optimized cable arrangements and material-efficient support devices. At a step 3102, a cable ampacity target for a project (e.g., a solar power generation plant) is determined. The ampacity target istypically determined by the Electrical Engineer responsible for designing the DC collection details of the Solar Generation Plant. The method 3100 further includes a step 3104, which includes positioning a first pair of cables on a first arm of a cable organizing device (i. e. , a cable support device). The first arm, also referred to herein as a saddle, can be configured to receive more than two cables, such as three, four, or more cables. The first pair of cables are adjacent and tangent to each other at a first angle relative to the reference plane. The method 3100 further includes a step 3106, which includes positioning a second pair of cables on a second arm of the cable organizing device. The second pair of cables are adjacent and tangent to each other at a second angle relative to the reference plane. The second pair of cables being separated from the first pair of cables by a first distance, which corresponds to a minimum vertical distance (i.e., a separation distance) as described herein.

[0213] The method 3100 further includes a step 3108, which includes positioning a third pair of cables on a third arm of the cable organizing device. The third arm is a mirror of and extends opposite to the first arm. The third pair of cables is separated from the first pair of cables by at least a second distance along an axis parallel to the reference plane, which corresponds to a minimum horizontal distance as described herein. The method 3100 further includes a step 3110, which includes positioning a fourth pair of cables on a fourth arm of the cable organizing device. The fourth arm is a mirror of and extends opposite to the second arm. The fourth pair of cables is separated from the first pair of cables by at least the second distance.

[0214] The steps 3104-3110 can correspond to at least some of the embodiments described herein. In an aspect, the first angle can be about 34° ± 5°. the second angle can be about 15° ± 5°, the first distance can be about 0.56 in. ± 0.25 in., the second distance can be about 0.24 in. ± 0. 125 in., the target cable ampacity can be about 433 amps ± 50 amps, and the predetermined temperature can be about 35 °C ± 5 °C. In another example, the first angle can be about 35° ± 5°, the second angle can be about 18° ± 5°, the first distance can be about 0.46 in. ± 0.25 in., the second distance can be about 0.24 in. ± 0.125 in., the target cable ampacity can be about 455 amps ± 50 amps, and the predetermined temperature can be about 35 °C ± 5 °C. In another example, the first angle can be about 35° ± 5°, the second angle can be about 21° ± 5°, the first distance can be about 0.46 in. ± 0.25 in., the second distance canbe about 0.24 in. ± 0. 125 in., the target cable ampacity can be about 500 amps ± 50 amps, and the predetermined temperature can be about 35 °C ± 5 °C.

[0215] The method 3100 can further include a step 3112, which includes positioning a fifth pair of cables on a fifth arm of the cable organizing device. The fifth arm is positioned directly below the second arm. The fifth pair of cables are adjacent and tangent to each other at a third angle relative to the reference plane. The fifth pair of cables are separated from the second pair of cables by a third distance, which corresponds to a minimum vertical distance (i.e., a separation distance) The method can further include a step 3114, which includes positioning a sixth pair of cables on a sixth arm of the cable organizing device. The sixth arm is a mirror of and extends opposite to the fifth arm.

[0216] The steps 3104-3114 can correspond to at least some of the embodiments described herein. In an aspect, the first angle can be about 34° ± 5°, the second angle can be about 16° ± 5°. the third angle can be about 0° + 5°. the first distance can be about 0.69 in. ± 0.25 in., the second distance can be about 0.33 in. ± 0.125 in., the third distance can be about 0.69 in. ± 0.25 in., the target cable ampacity can be about 411 amps ± 50 amps, and the predetermined temperature can be about 35 °C ± 5 °C. In a further example, the first angle can be about 35° ± 5°, the second angle can be about 18° ± 5°, the third angle can be about 0° + 5°. the first distance can be about 0.59 in. ± 0.25 in., the second distance can be about 0.24 in. ± 0. 125 in., the third distance can be about 0.59 in. ± 0.25 in., the target cable ampacity can be about 453 amps ± 50 amps, and the predetermined temperature can be about 35 °C ± 5 °C. In a further example, the first angle can be about 35° ± 5°, the second angle can be about 21° ± 5°, the third angle can be about 5° ± 5°, the first distance can be about 0.59 in. ± 0.25 in., the second distance can be about 0.24 in. ± 0.125 in., the third distance can be about 0.59 in. ± 0.25 in., the target cable ampacity can be about 525 amps ± 50 amps, and the predetermined temperature can be about 35 °C ± 5 °C. In a further example, the first angle can be about 35° ± 5°, the second angle can be about 25° ± 5°, the third angle can be about 11° ± 5°, the first distance can be about 0.34 in. ± 0.25 in., the second distance can be about 0.24 in. ± 0.125 in., the third distance can be about 0.34 in. ± 0.25 in., the target cable ampacity can be about 606 amps ± 50 amps, and the predetermined temperature can be about 35 °C ± 5 °C.

[0217] The method 3100 can further include a step 3116, which includes positioning a seventh pair of cables on a seventh arm of the cable organizing device. The seventh arm is positioned directly below the fifth arm. The seventh pair of cables are adjacent and tangent to each other at a fourth angle relative to the reference plane. The seventh pair of cables are separated from the fifth pair of cables by a fourth distance, which corresponds to a minimum vertical distance (i.e., a separation distance). The method 3100 can further include a step 3118, which includes positioning an eighth pair of cables on an eighth arm of the cable organizing device. The eighth arm is a mirror of and extends opposite to the seventh arm. The eighth pair of cables is separated from the first pair of cables by at least the second distance.

[0218] The steps 3104-3118 can correspond to at least some of the embodiments described herein. In an aspect, the first angle can be about 34° ± 5°, the second angle can be about 19° ± 5°, the third angle can be about 2° + 5°, the fourth angle can be about 0° + 5°, the first distance can be about 0.75 in. ± 0.25 in., the second distance can be about 0.33 in. ± 0. 125 in., the third distance can be about 0.75 in. ± 0.25 in., the fourth distance can be about 0.75 in. ± 0.25 in., the target cable ampacity can be about 606 amps ± 50 amps, and the predetermined temperature can be about 35 °C ± 5 °C. In a further example, the first angle can be about 35° ± 5°, the second angle can be about 21° ± 5°, the third angle can be about 6° ± 5°, the fourth angle can be about 0° + 5°, the first distance can be about 0.65 in. ± 0.25 in., the second distance can be about 0.24 in. ± 0. 125 in., the third distance can be about 0.65 in. ± 0.25 in., the fourth distance can be about 0.65 in. ± 0.25 in., the target cable ampacity can be about 477 amps ± 50 amps, and the predetermined temperature can be about 35 °C ± 5 °C. In a further example, the first angle can be about 35° ± 5°, the second angle can be about 24° ± 5°, the third angle can be about 10° ± 5°, the fourth angle can be about 0° + 5°. the first distance can be about 0.55 in. ± 0.25 in., the second distance can be about 0.24 in. ± 0.125 in., the third distance can be about 0.55 in. ± 0.25 in., the fourth distance can be about 0.55 in. ± 0.25 in., the target cable ampacity can be about 539 amps ± 50 amps, and the predetermined temperature can be about 35 °C ± 5 °C. In a further example, the first angle can be about 35° ± 5°, the second angle can be about 28° ± 5°, the third angle can be about 16° ± 5°, the fourth angle can be about 0° + 5°, the first distance can be about 0.40 in. ± 0.25 in., the second distance can be about 0.24 in. ± 0.125 in., the third distance can be about 0.40 in. ± 0.25 in., the fourth distance can be about 0.40 in. ± 0.25 in., the target cable ampacitycan be about 602 amps ± 50 amps, and the predetermined temperature can be about 35 °C ± 5

[0219] The method 3100 can further include a step 3120, which includes positioning a ninth pair of cables on a ninth arm of the cable organizing device. The ninth arm is positioned directly below the seventh arm. The ninth pair of cables are adjacent and tangent to each other at a fifth angle relative to the reference plane. The ninth pair of cables are separated from the seventh pair of cables by a fifth distance, which corresponds to a minimum vertical distance (i.e., a separation distance). The method 3100 can further include a step 3122, which includes positioning a tenth pair of cables on a tenth arm of the cable organizing device. The tenth arm is a mirror of and extends opposite to the ninth arm. The tenth pair of cables are separated from the first pair of cables by at least the second distance.

[0220] The steps 3104-3122 can correspond to at least some of the embodiments described herein. In an aspect, the first angle can be about 34° ± 5°. the second angle can be about 23° ± 5°, the third angle can be about 10° ± 5°, the fourth angle can be about 0° + 5°, the fifth angle can be about 0° + 5°, the first distance can be about 0.83 in. ± 0.25 in., the second distance can be about 0.37 in. ± 0. 125 in., the third distance can be about 0.83 in. ± 0.25 in., the fourth distance can be about 0.83 in. ± 0.25 in., the fifth distance can be about 0.83 in. ± 0.25 in., the target cable ampacity can be about 431 amps ± 50 amps, and the predetermined temperature can be about 35 °C ± 5 °C. In a further example, the first angle can be about 35° ± 5°, the second angle can be about 24° ± 5°, the third angle can be about 13° ± 5°, the fourth angle can be about 0° + 5°, the fifth angle can be about 0° + 5°, the first distance can be about 0.73 in. ± 0.25 in., the second distance can be about 0.24 in. ± 0.125 in., the third distance can be about 0.73 in. ± 0.25 in., the fourth distance can be about 0.73 in. ± 0.25 in., the fifth distance can be about 0.73 in. ± 0.25 in., the target cable ampacity can be about 488 amps ± 50 amps, and the predetermined temperature can be about 35 °C ± 5 °C. In a further example, the first angle can be about 35° ± 5°, the second angle can be about 27° ± 5°, the third angle can be about 17° ± 5°, the fourth angle can be about 6° ± 5°, the fifth angle is about 0° + 5°, the first distance can be about 0.63 in. ± 0.25 in., the second distance can be about 0.24 in. ± 0. 125 in., the third distance can be about 0.63 in. ± 0.25 in., the fourth distance can be about 0.63 in. ± 0.25 in., the fifth distance can be about 0.63 in. ± 0.25 in., the target cable ampacity can be about 522 amps ± 50 amps, and the predetermined temperaturecan be about 35 °C ± 5 °C. In a further example, the first angle can be about 35° ± 5°, the second angle can be about 30° ± 5°, the third angle can be about 22° ± 5°, the fourth angle can be about 13° ± 5°, the fifth angle can be about 0° + 5°, the first distance can be about 0.48 in. ± 0.25 in., the second distance can be about 0.24 in. ± 0.125 in., the third distance can be about 0.48 in. ± 0.25 in., the fourth distance can be about 0.48 in. ± 0.25 in., the fifth distance can be about 0.48 in. ± 0.25 in., the target cable ampacity can be about 613 amps ± 50 amps, and the predetermined temperature can be about 35 °C ± 5 °C.

[0221] FIG. 47 provides an exemplary' method 3200 for determining cable ampacity' for cables in a complex arrangement. The method 3200 includes a step 3202, which includes selecting a cable size. The cable size can correspond to a specific type of conductor, such as #12awg, #10awg, #8awg, #6awg, #4awg, #2awg, 1 / 0, 2 / 0, 3 / 0, 4 / 0, 250 MCM, 300 MCM, 400 MCM, 500 MCM, 600 MCM, 700 MCM, 800 MCM, 900 MCM, or 1000 MCM. The method 3200 further includes a step 3204, which includes measuring a cable diameter (A2) of a first cable having the selected cable size. The method 3200 includes a step 3206, which includes measuring a minimum vertical spacing (B2) between the first cable in a first cable saddle and a second cable in a second cable saddle. The term cable saddle corresponds to the term arm used herein throughout. The second cable saddle is positioned directly below the first cable saddle. The method 3200 includes a step 3208, which includes measuring a minimum horizontal spacing (C2) between the first cable in the first cable saddle and a third cable in a third cable saddle. The third cable saddle can be a mirror of and extend opposite to the first cable saddle. The method 3200 includes a step 3210, which includes measuring or otherwise determining an ambient temperature (D2). The ambient temperature can be an average ambient temperature. In an aspect, the ambient temperature can be based on historical weather records. In an aspect, the ambient temperature can also be referred to as a predetermined temperature. The method 3200 includes a step 3226, which includes calculating a cable ampacity (CA) according to a cable ampacity7equation. In an aspect, the cable ampacity equation can comprise Equation 5:CA = y + Al * 42 + Bl * B2 + Cl * C2 + DI * D2Each of the variables Al, Bl, Cl, and DI are constants derived from experimental data and simulation data.

[0222] The method 3200 can further include a correction factor for the quantity of cables in a given saddle. In an aspect, the method 3200 can include a step 3220, which includes measuring a quantity of cables (E2) in the first cable saddle, second cable saddle, or third cable saddle. The cable ampacity equation can comprise Equation 6:CA = y + Al * 712 + Bl * B2 + Cl * C2 + DI * D2 + El * E2 The variable El is a constant derived from experimental data and simulation data.

[0223] The method 3200 can further include the correction factor for the quantity' of cables in a given saddle as well as a correction factor for the quantity of saddles. In an aspect, the method 3200 can include a step 3222, which includes measuring a quantity of saddles (F2). The cable ampacity equation can comprise Equation 7:CA = y + Al * A2 + Bl * B2 + Cl * C2 + DI * D2 + El * E2 + Fl * F2 The variables El and Fl are constants derived from experimental data and simulation data.

[0224] The method 3200 can further include a correction factor for an angle between cables in a given saddle in addition to the correction factors for the quantity' of cables in a given saddle and the correction factor for the quantity of saddles. In an aspect, the method 3200 can further include a step 3224, which includes measuring an angle (G2) between the first cable in the first cable saddle and a fourth cable in the first cable saddle. In an aspect, the angle G2 can be an average of the angles of each cable group positioned on a given cable support device. The first and fourth cables are adjacent and tangent to each other. The cable ampacity equation can comprise Equation 8:CA = y + Al * A2 + Bl * B2 + Cl * C2 + DI * D2 + El * E2 + El * F2 + G1 * G2 The variables El, Fl, and G1 are constants denved from experimental data and simulation data.

[0225] The constants described herein, such as y, Al, Bl, Cl. DI, El, Fl, and Gl, can be derived using analytical methods to analyze the experimental and / or simulation data. In an aspect, the cable ampacity values provided in FIGS. 51A-51D were determined using a CFD software simulation methodology' based on the corresponding dimensions. The cable ampacity values and other known parameters (e g., dimensions) were used in a multiple linear regression model to determine one or more constants. FIGS. 52A-52C depict aspects of a multiple linear regression model based on dimensions and parameters of the devices and complex arrangements described herein. Additionally, FIGS. 53A-53C depict aspects ofanother multiple linear regression model based on dimensions and parameters of the devices and complex arrangements described herein. Further details of the linear regression model of FIGS. 53A-53C are provided in Example 1.

[0226] FIG. 48 provides a method 3300 for determining cable ampacity for cables organized in complex arrangements. The method 3300 includes a step 3302, which includes selecting a look-up table (e.g.. FIGS. 35, 37. 39. 41) based on a corresponding complex arrangement of cables. The look-up tables can include data for cable ampacity based on statistical and / or experimental data. The method 3300 further includes a step 3304, which includes selecting a cable ampacity in the look-up table based on a cable size and an ambient temperature.

[0227] Aspects of the systems and methods are further described below.

[0228] Example 1

[0229] In an aspect, the multiple linear regression model depicted in FIGS. 53A-53C was used to determine values of the constants, including an intercept y = 442.65, Al = 372.54. Bl = -134.15, Cl = 134.15, DI = -5.41. El = -95.21, Fl = 4.53, and G1 = -1.46, with an R-square = 0.97. The constants can be used to predict a cable ampacity. In an aspect, the constants y, Al, Bl, Cl, DI, El, Fl, G1 can be used in any of the equations with any of the embodiments described herein to predict a cable ampacity. In an aspect, A2 = 1.08 in., B2 = 0.27 in., C2 = 0.24 in., D2 = 30.0 °C, E2 = 2, F2 = 8, and G2 = 15.5°. The variables are used to calculate a predicted ampacity in the following equation:Predicted Ampacity =(1.08 * 372.54) + (0.27 * -134.15) + (0.24 * 134.54) + (30.0 * -5.41) + (2 * -95.21) + (8 * 4.53) + (15.50 * -1.46) + 442.65 = 502.04 amps

[0230] The predicted ampacity can be compared to an actual cable ampacity as measured using a CFD simulation. The actual cable ampacity is 498 amps. Accordingly, the methods described herein can be used to accurately predict cable ampacity for a complex cable arrangement.

[0231] Example 2

[0232] An exemplary' aspect of cables organized in a complex arrangement is depicted in FIG. 20. As shown, the complex arrangement of cables 1900 can be configured for use large-scale solar energy generation plants. The cables are organized such that A2 = 1.08 in.; B2 = 0.46 in.; C2 = 0.24 in.; D2 = 35 °C; E2 = 2; F2 = 4; Average G2 = 26.5°. The average G2 is an average of a first angle, 35°, and a second angle, 18°. Accordingly, the cable ampacity is 455 amps. However, the cables can be organized such that A2, B2. C2. D2, E2, F2, and G2 can be any value such that the target ampacity is met.

[0233] Example 3

[0234] An exemplary' aspect of cables organized in a complex arrangement is depicted in FIG. 21. The complex arrangement of cables, 2000, can be configured for use large-scale solar energy' generation plants. The cables are organized such that A2 = 1.08 in.; B2 = 0.59 in.; C2 = 0.24 in.; D2 = 40 °C; E2 = 2; F2 = 6; Average G2 = 17.7°. The average G2 is an average of a first angle, 35°, a second angle, 18°, and a third angle, 0°. Accordingly, the cable ampacity' is 427 amps. However, the cables can be organized such that A2, B2, C2, D2. E2, F2, and G2 can be any value such that the target ampacity' is met.

[0235] Example 4

[0236] An exemplary' aspect of cables organized in complex arrangement is depicted in FIG. 22. The complex arrangement of cables. 2100, can be configured for use large-scale solar energy generation plants. The cables are organized such that A2 = 1.08 in.; B2 = 0.65 in.; C2 = 0.24 in.; D2 = 30 °C; E2 = 2; F2 = 8; Average G2 = 15.5°. The average G2 is an average of a first angle, 35°, a second angle, 21°, a third angle, 6°, and a fourth angle, 0°. Accordingly, the cable ampacity is 450 amps. However, the cables can be organized such that A2, B2, C2, D2, E2, F2, and G2 can be any value such that the target ampacity is met.

[0237] Example 5

[0238] An exemplary' aspect of cables organized in complex arrangement is depicted in FIG. 23. The complex arrangement of cables, 2200, can be configured for use large-scale solar energy generation plants. The cables are organized such that A2 = 1.08 in.; B2 = 0.73 in.; C2 = 0.24 in.; D2 = 50 °C; E2 = 2; F2 = 10; Average G2 = 14.4°. The average G2 is an average of a first angle, 35°, a second angle, 24°, a third angle, 13°, a fourth angle, 0°, and afifth angle, 0°. Accordingly, the cable ampacity is 406 amps. However, the cables can be organized such that A2, B2, C2, D2. E2. F2. and G2 can be any value such that the target ampacity is met.

[0239] In the descriptions above and in the claims, phrases such as “at least one of’ or “one or more of’ may occur followed by a conjunctive list of elements or features. The term “and / or” may also occur in a list of two or more elements or features. Unless otherwise implicitly or explicitly contradicted by the context in which it is used, such a phrase is intended to mean any of the listed elements or features individually or any of the recited elements or features in combination with any of the other recited elements or features. For example, the phrases “at least one of A and B;” “one or more of A and B:” and “A and / or B” are each intended to mean “A alone, B alone, or A and B together.” A similar interpretation is also intended for lists including three or more items. For example, the phrases “at least one of A, B, and C;” “one or more of A, B, and C;” and “A, B, and / or C” are each intended to mean “A alone, B alone, C alone, A and B together, A and C together, B and C together, or A and B and C together.” In addition, use of the term “based on,” above and in the claims is intended to mean, “based at least in part on,” such that an unrecited feature or element is also permissible.

[0240] Certain exemplary implementations have been described to provide an overall understanding of the principles of the structure, function, manufacture, and use of the systems, devices, and methods disclosed herein. One or more examples of these implementations have been illustrated in the accompanying drawings. Those skilled in the art will understand that the systems, devices, and methods specifically described herein and illustrated in the accompanying drawings are non-limiting exemplary implementations and that the scope of the present invention is defined solely by the claims. The features illustrated or described in connection with one exemplary' implementation may be combined with the features of other implementations. Such modifications and variations are intended to be included within the scope of the present invention. Further, in the present disclosure, like- named components of the implementations generally have similar features, and thus within a particular implementation each feature of each like-named component is not necessarily fully elaborated upon.

[0241] Approximating language, as used herein throughout the specification and claims, may be applied to modify any quantitative representation that could permissibly vary without resulting in a change in the basic function to which it is related. Accordingly, a value modified by a term or terms, such as “about,” “approximately,” and “substantially,” are not to be limited to the precise value specified. In at least some instances, the approximating language may correspond to the precision of an instrument for measuring the value. Here and throughout the specification and claims, range limitations may be combined and / or interchanged, such ranges are identified and include all the sub-ranges contained therein unless context or language indicates otherwise.

[0242] One skilled in the art will appreciate further features and advantages of the invention based on the above-described implementations. Accordingly, the present application is not to be limited by what has been particularly shown and described, except as indicated by the appended claims. All publications and references cited herein are expressly- incorporated by reference in their entirety.

[0243] The subject matter described herein can be embodied in systems, apparatus, methods, and / or articles depending on the desired configuration. The implementations set forth in the foregoing description do not represent all implementations consistent with the subject matter described herein. Instead, they are merely some examples consistent with aspects related to the described subject matter. Although a few variations have been described in detail above, other modifications or additions are possible. In particular, further features and / or variations can be provided in addition to those set forth herein. For example, the implementations described above can be directed to various combinations and subcombinations of the disclosed features and / or combinations and subcombinations of several further features disclosed above. In addition, the logic flow s depicted in the accompanying figures and / or described herein do not necessarily require the particular order shown, or sequential order, to achieve desirable results. Other implementations may be within the scope of the following claims.

Claims

CLAIMS1. A method comprising: determining a target cable ampacity at a predetermined temperature; positioning a first set of cables on a first arm of a cable organizing device, the first set of cables being adjacent and tangent to each other at a first angle relative to a reference plane, the first set of cables including at least two cables; positioning a second set of cables on a second arm of the cable organizing device, the second set of cables being adjacent and tangent to each other at a second angle relative to the reference plane, the second set of cables being separated from the first set of cables by a first distance; positioning a third set of cables on a third arm of the cable organizing device, the third arm being a mirror of and extending opposite to the first arm, the third set of cables being separated from the first set of cables by at least a second distance along an axis parallel to the reference plane; and positioning a fourth set of cables on a fourth arm of the cable organizing device, the fourth arm being a mirror of and extending opposite to the second arm, the fourth set of cables being separated from the second set of cables by at least the second distance.

2. The method of claim 1. wherein the first angle is about 34° ± 5°, the second angle is about 15° ± 5°, the first distance is about 0.56 in. ± 0.25 in., the second distance is about 0.24 in. ± 0. 125 in., the target cable ampacity' is about 433 amps ± 50 amps, and the predetermined temperature is about 35 °C ± 5 °C.

3. The method of claim 1, wherein the first angle is about 35° ± 5°, the second angle is about 18° ± 5°, the first distance is about 0.46 in. ± 0.25 in., the second distance is about 0.24 in. ± 0.125 in., the target cable ampacity is about 455 amps ± 50 amps, and the predetermined temperature is about 35 °C ± 5 °C.

4. The method of claim 1, wherein the first angle is about 35° ± 5°, the second angle is about 21° ± 5°, the first distance is about 0.46 in. ± 0.25 in., the second distance is about 0.24 in. ± 0.125 in., the target cable ampacity is about 500 amps ± 50 amps, and the predetermined temperature is about 35 °C ± 5 °C.

5. The method of claim 1. further comprising:positioning a fifth set of cables on a fifth arm of the cable organizing device, the fifth set of cables being adjacent and tangent to each other at a third angle relative to the reference plane, the fifth set of cables being separated from the second pair of cables by a third distance; and positioning a sixth set of cables on a sixth arm of the cable organizing device, the sixth arm being a mirror of and extending opposite to the fifth arm, the sixth set of cables being separated from the fifth set of cables by at least the second distance.

6. The method of claim 5, wherein the first angle is about 34° ± 5°, the second angle is about 16° ± 5°. the third angle is about 0° + 5°, the first distance is about 0.69 in. ± 0.25 in., the second distance is about 0.33 in. ± 0. 125 in., the third distance is about 0.69 in. ± 0.25 in., the target cable ampacity is about 41 1 amps ± 50 amps, and the predetermined temperature is about 35 °C ± 5 °C.

7. The method of claim 5, wherein the first angle is about 35° ± 5°, the second angle is about 18° ± 5°, the third angle is about 0° + 5°, the first distance is about 0.59 in. ± 0.25 in., the second distance is about 0.24 in. ± 0. 125 in., the third distance is about 0.59 in. ± 0.25 in., the target cable ampacity is about 453 amps ± 50 amps, and the predetermined temperature is about 35 °C ± 5 °C.

8. The method of claim 5, wherein the first angle is about 35° ± 5°, the second angle is about 21° ± 5°, the third angle is about 5° ± 5°, the first distance is about 0.59 in. ± 0.25 in., the second distance is about 0.24 in. ± 0.125 in., the third distance is about 0.59 in. ± 0.25 in., the target cable ampacity is about 525 amps ± 50 amps, and the predetermined temperature is about 35 °C ± 5 °C.

9. The method of claim 5, wherein the first angle is about 35° ± 5°, the second angle is about 25° ± 5°. the third angle is about 11° ± 5°. the first distance is about 0.34 in. ± 0.25 in., the second distance is about 0.24 in. ± 0. 125 in., the third distance is about 0.34 in. ± 0.25 in., the target cable ampacity is about 606 amps ± 50 amps, and the predetermined temperature is about 35 °C ± 5 °C.

10. The method of claim 5, further comprising: positioning a seventh set of cables on a seventh arm of the cable organizing device, the seventh set of cables being adjacent and tangent to each other at a fourth angle relative tothe reference plane, the seventh set of cables being separated from the fifth set of cables by a fourth distance; and positioning an eighth set of cables on an eighth arm of the cable organizing device, the eighth arm being a mirror of and extending opposite to the seventh arm, the eighth pair of cables being separated from the seventh set of cables by at least the second distance.

11. The method of claim 10. wherein the first angle is about 34° ± 5°. the second angle is about 19° ± 5°, the third angle is about 2° + 5°, the fourth angle is about 0° + 5°, the first distance is about 0.75 in. ± 0.25 in., the second distance is about 0.33 in. ± 0.125 in., the third distance is about 0.75 in. ± 0.25 in., the fourth distance is about 0.75 in. ± 0.25 in., the target cable ampacity is about 606 amps ± 50 amps, and the predetermined temperature is about 35 °C ± 5 °C.

12. The method of claim 10, wherein the first angle is about 35° ± 5°, the second angle is about 21° ± 5°. the third angle is about 6° ± 5°, the fourth angle is about 0° + 5°, the first distance is about 0.65 in. ± 0.25 in., the second distance is about 0.24 in. ± 0.125 in., the third distance is about 0.65 in. ± 0.25 in., the fourth distance is about 0.65 in. ± 0.25 in., the target cable ampacity is about 477 amps ± 50 amps, and the predetermined temperature is about 35 °C ± 5 °C.

13. The method of claim 10, wherein the first angle is about 35° ± 5°, the second angle is about 24° ± 5°, the third angle is about 10° ± 5°, the fourth angle is about 0° + 5°, the first distance is about 0.55 in. ± 0.25 in., the second distance is about 0.24 in. ± 0.125 in., the third distance is about 0.55 in. ± 0.25 in., the fourth distance is about 0.55 in. ± 0.25 in., the target cable ampacity is about 539 amps ± 50 amps, and the predetermined temperature is about 35 °C ± 5 °C.

14. The method of claim 10, further comprising: positioning a ninth set of cables on a ninth arm of the cable organizing device, the ninth set of cables being adjacent and tangent to each other at a fifth angle relative to the reference plane, the ninth set of cables being separated from the seventh set of cables by a fifth distance; andpositioning a tenth set of cables on a tenth arm of the cable organizing device, the tenth arm being a mirror of and extending opposite to the ninth arm, the tenth set of cables being separated from the ninth set of cables by at least the second distance.

15. The method of claim 144, wherein the first angle is about 34° ± 5°, the second angle is about 23° ± 5°, the third angle is about 10° ± 5°, the fourth angle is about 0° + 5°, the fifth angle is about 0° + 5°, the first distance is about 0.83 in. ± 0.25 in., the second distance is about 0.37 in. ± 0.125 in., the third distance is about 0.83 in. ± 0.25 in., the fourth distance is about 0.83 in. ± 0.25 in., the fifth distance is about 0.83 in. ± 0.25 in., the target cable ampacity is about 431 amps ± 50 amps, and the predetermined temperature is about 35 °C ± 5 °C: or wherein the first angle is about 35° ± 5°, the second angle is about 24° ± 5°, the third angle is about 13° ± 5°, the fourth angle is about 0° + 5°, the fifth angle is about 0° + 5°, the first distance is about 0.73 in. ± 0.25 in., the second distance is about 0.24 in. ± 0.125 in., the third distance is about 0.73 in. ± 0.25 in., the fourth distance is about 0.73 in. ± 0.25 in., the fifth distance is about 0.73 in. ± 0.25 in., the target cable ampacity is about 488 amps ± 50 amps, and the predetermined temperature is about 35 °C ± 5 °C; or wherein the first angle is about 35° ± 5°, the second angle is about 27° ± 5°, the third angle is about 17° ± 5°, the fourth angle is about 6° ± 5°, the fifth angle is about 0° + 5°, the first distance is about 0.63 in. ± 0.25 in., the second distance is about 0.24 in. ± 0. 125 in., the third distance is about 0.63 in. ± 0.25 in., the fourth distance is about 0.63 in. ± 0.25 in., the fifth distance is about 0.63 in. ± 0.25 in., the target cable ampacity is about 522 amps ± 50 amps, and the predetermined temperature is about 35 °C ± 5 °C; or wherein the first angle is about 35° ± 5°. the second angle is about 30° ± 5°, the third angle is about 22° ± 5°, the fourth angle is about 13° ± 5°, the fifth angle is about 0° + 5°, the first distance is about 0.48 in. ± 0.25 in., the second distance is about 0.24 in. ± 0.125 in., the third distance is about 0.48 in. ± 0.25 in., the fourth distance is about 0.48 in. ± 0.25 in., the fifth distance is about 0.48 in. ± 0.25 in., the target cable ampacity is about 613 amps ± 50 amps, and the predetermined temperature is about 35 °C ± 5 °C.

16. A device comprising: a spine extending from a first end to a second end, and the second end having a hook;a first arm extending from a first side of the spine, at least a portion of the first arm being angled at a first angle relative to a reference plane, the first arm being configured to receive at least one cable; a second arm extending from the first side of the spine, at least a portion of the second arm being angled at a second angle relative to the reference plane, the second arm being separated from the first arm by a first distance along a first axis parallel to the spine and configured to receive at least one cable; a third arm extending from a second side of the spine that is opposite the first side, the third arm extending opposite to the first arm, the third arm being separated from the first arm by a second distance, and the third arm being configured to receive at least one cable; and a fourth arm extending from the second side of the spine, the fourth arm extending opposite to the second arm, and the fourth arm being configured to receive at least one cable.

17. The device of claim 16, wherein each of the first and second angles is between about 0° and about 40°.

18. The device of claim 16, wherein the first angle is between about 30° and about 40° and the second angle is between about 10° and about 30°.

19. The device of claim 16, wherein the first distance is between about 0.5 inches and about 1.5 inches and the second distance is between about 0.1 inches and about 1 inch.

20. The device of claim 16, wherein a width measured between an end of each of the second and fourth arms is between about 5 inches and about 7 inches.

21. The device of claim 16, wherein a width measured between an end of each of the first and third arms is between about 3 inches and about 6 inches.

22. The device of claim 16, further comprising a fifth arm extending from the first side of the spine, at least a portion of the fifth arm being angled at a third angle relative to the reference plane, the fifth arm being separated from the second arm by a third distance along the first axis and configured to receive at least one cable.

23. The device of claim 22, wherein the third angle is between about 0° and about 10°.

24. The device of claim 22, wherein the third distance is equivalent to the first distance.

25. The device of claim 22, further comprising a sixth arm extending from the second side of the spine, the sixth arm extending opposite to the fifth arm, and the sixth arm being configured to receive at least one cable.

26. The device of claim 16, wherein the first angle is about 34° ± 5°, the second angle is about 15° ± 5°. the first distance is about 0.56 in. ± 0.25 in., the second distance is about 0.24 in. ± 0. 125 in., a target cable ampacity of the cables positioned within the device is about 433 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

27. The device of claim 16, wherein the first angle is about 35° ± 5°, the second angle is about 18° ± 5°. the first distance is about 0.46 in. ± 0.25 in., the second distance is about 0.24 in. ± 0. 125 in., a target cable ampacity of the cables positioned within the device is about 455 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

28. The device of claim 16, wherein the first angle is about 35° ± 5°, the second angle is about 21° ± 5°, the first distance is about 0.46 in. ± 0.25 in., the second distance is about 0.24 in. ± 0. 125 in., a target cable ampacity of the cables positioned within the device is about 500 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

29. The device of claim 16, further comprising: a fifth arm being a third angle relative to the reference plane, the fifth arm being separated from the second arm by a third distance; and a sixth arm being a mirror of and extending opposite to the fifth arm, the sixth arm being separated from the first arm by at least the second distance.

30. The device of claim 29, wherein the first angle is about 34° ± 5°, the second angle is about 16° ± 5°. the third angle is about 0° + 5°, the first distance is about 0.69 in. ± 0.25 in., the second distance is about 0.33 in. ± 0. 125 in., the third distance is about 0.69 in. ± 0.25 in., a target cable ampacity' of the cables positioned within the device is about 411 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

31. The device of claim 29, wherein the first angle is about 35° ± 5°, the second angle is about 18° ± 5°, the third angle is about 0° + 5°, the first distance is about 0.59 in. ± 0.25 in., the second distance is about 0.24 in. ± 0. 125 in., the third distance is about 0.59 in. ± 0.25 in.,a target cable ampacity of the cables positioned within the device is about 453 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

32. The device of claim 29, wherein the first angle is about 35° ± 5°, the second angle is about 21° ± 5°, the third angle is about 5° ± 5°, the first distance is about 0.59 in. ± 0.25 in., the second distance is about 0.24 in. ± 0.125 in., the third distance is about 0.59 in. ± 0.25 in., a target cable ampacity of the cables positioned within the device is about 525 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

33. The device of claim 29, wherein the first angle is about 35° ± 5°, the second angle is about 25° ± 5°. the third angle is about 11° ± 5°. the first distance is about 0.34 in. ± 0.25 in., the second distance is about 0.24 in. ± 0. 125 in., the third distance is about 0.34 in. ± 0.25 in., a target cable ampacity of the cables positioned within the device is about 606 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

34. The device of claim 29, further comprising: a seventh arm being at a fourth angle relative to the reference plane, the seventh arm being separated from the fifth arm by a fourth distance; and an eighth arm being a mirror of and extending opposite to the seventh arm, the eighth arm being separated from the first arm by at least the second distance.

35. The device of claim 34, wherein the first angle is about 34° ± 5°, the second angle is about 19° ± 5°. the third angle is about 2° + 5°, the fourth angle is about 0° + 5°, the first distance is about 0.75 in. ± 0.25 in., the second distance is about 0.33 in. ± 0.125 in., the third distance is about 0.75 in. ± 0.25 in., the fourth distance is about 0.75 in. ± 0.25 in., a target cable ampacity of the cables positioned within the device is about 606 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

36. The device of claim 34, wherein the first angle is about 35° ± 5°, the second angle is about 21° ± 5°, the third angle is about 6° ± 5°, the fourth angle is about 0° + 5°, the first distance is about 0.65 in. ± 0.25 in., the second distance is about 0.24 in. ± 0.125 in., the third distance is about 0.65 in. ± 0.25 in., the fourth distance is about 0.65 in. ± 0.25 in., a target cable ampacity of the cables positioned within the device is about 477 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

37. The device of claim 34, wherein the first angle is about 35° ± 5°, the second angle is about 24° ± 5°. the third angle is about 10° ± 5°, the fourth angle is about 0° + 5°, the first distance is about 0.55 in. ± 0.25 in., the second distance is about 0.24 in. ± 0.125 in., the third distance is about 0.55 in. ± 0.25 in., the fourth distance is about 0.55 in. ± 0.25 in., a target cable ampacity of the cables positioned within the device is about 539 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

38. The device of claim 34, further comprising: a ninth arm being at a fifth angle relative to the reference plane, the ninth arm being separated from the seventh arm by a fifth distance; and a tenth arm being a mirror of and extending opposite to the ninth arm. the tenth arm being separated from the first arm by at least the second distance.

39. The device of claim 38, wherein the first angle is about 34° ± 5°, the second angle is about 23° ± 5°. the third angle is about 10° ± 5°, the fourth angle is about 0° + 5°, the fifth angle is about 0° + 5°, the first distance is about 0.83 in. ± 0.25 in., the second distance is about 0.37 in. ± 0.125 in., the third distance is about 0.83 in. ± 0.25 in., the fourth distance is about 0.83 in. ± 0.25 in., the fifth distance is about 0.83 in. ± 0.25 in., a target cable ampacity' of the cables positioned within the device is about 431 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C: or wherein the first angle is about 35° ± 5°, the second angle is about 24° ± 5°, the third angle is about 13° ± 5°, the fourth angle is about 0° + 5°, the fifth angle is about 0° + 5°, the first distance is about 0.73 in. ± 0.25 in., the second distance is about 0.24 in. ± 0.125 in., the third distance is about 0.73 in. ± 0.25 in., the fourth distance is about 0.73 in. ± 0.25 in., the fifth distance is about 0.73 in. ± 0.25 in., a target cable ampacity of the cables positioned within the device is about 488 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C; or wherein the first angle is about 35° ± 5°. the second angle is about IT ± 5°, the third angle is about 17° ± 5°, the fourth angle is about 6° ± 5°, the fifth angle is about 0° + 5°, the first distance is about 0.63 in. ± 0.25 in., the second distance is about 0.24 in. ± 0.125 in., the third distance is about 0.63 in. ± 0.25 in., the fourth distance is about 0.63 in. ± 0.25 in., the fifth distance is about 0.63 in. ± 0.25 in., a target cable ampacity of the cables positionedwithin the device is about 522 amps ± 50 amps, and a predetermined temperature is about 35°C ± 5 °C; or wherein the first angle is about 35° ± 5°, the second angle is about 30° ± 5°, the third angle is about 22° ± 5°, the fourth angle is about 13° ± 5°, the fifth angle is about 0° + 5°, the first distance is about 0.48 in. ± 0.25 in., the second distance is about 0.24 in. ± 0.125 in., the third distance is about 0.48 in. ± 0.25 in., the fourth distance is about 0.48 in. ± 0.25 in., the fifth distance is about 0.48 in. ± 0.25 in., a target cable ampacity of the cables positioned within the device is about 613 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

40. A system, comprising: at least two solar panels; a power transmission cable extending between the at least two solar panels; a messenger wire extending between the at least two solar panels; and a cable hanger connected to the messenger wire and configured to support the power transmission cable, the cable hanger comprising: a spine extending from a first end to a second end, and the second end having a hook; a first arm extending from a first side of the spine, at least a portion of the first arm being angled at a first angle relative to a reference plane, the first arm being configured to receive at least one cable; a second arm extending from the first side of the spine, at least a portion of the second arm being angled at a second angle relative to the reference plane, the second arm being separated from the first arm by a first distance along a first axis parallel to the spine and configured to receive at least one cable; a third arm extending from a second side of the spine that is opposite the first side, the third arm extending opposite to the first arm, the third arm being separated from the first arm by a second distance, and the third arm being configured to receive at least one cable; and a fourth arm extending from the second side of the spine, the fourth arm extending opposite to the second arm, and the fourth arm being configured to receive at least one cable.

41. The system of claim 40, wherein each of the first and second angles is between about 0° and about 40°.

42. The system of claim 40, wherein the first angle is between about 30° and about 40° and the second angle is between about 10° and about 30°.

43. The system of claim 40, wherein the first distance is between about 0.5 inches and about 1.5 inches and the second distance is between about 0.1 inches and about 1 inch.

44. The system of claim 40, wherein a width measured between an end of each of the second and fourth arms is between about 5 inches and about 7 inches.

45. The system of claim 40, wherein a width measured between an end of each of the first and third arms is between about 3 inches and about 6 inches.

46. The system of claim 40, further comprising a fifth arm extending from the first side of the spine, at least a portion of the fifth arm being angled at a third angle relative to the reference plane, the fifth arm being separated from the second arm by a third distance along the first axis and configured to receive at least one cable.

47. The system of claim 46, wherein the third angle is between about 0° and about 10°.

48. The system of claim 46, wherein the third distance is equivalent to the first distance.

49. The system of claim 46, further comprising a sixth arm extending from the second side of the spine, the sixth arm extending opposite to the fifth arm, and the sixth arm being configured to receive at least one cable.

50. The system of claim 40, wherein the first angle is about 34° ± 5°, the second angle is about 15° ± 5°. the first distance is about 0.56 in. ± 0.25 in., the second distance is about 0.24 in. ± 0. 125 in., a target cable ampacity of the cables positioned within the device is about 433 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

51. The system of claim 40, wherein the first angle is about 35° ± 5°, the second angle is about 18° ± 5°. the first distance is about 0.46 in. ± 0.25 in., the second distance is about 0.24 in. ± 0. 125 in., a target cable ampacity of the cables positioned within the device is about 455 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

52. The system of claim 40, wherein the first angle is about 35° ± 5°, the second angle is about 21° ± 5°. the first distance is about 0.46 in. ± 0.25 in., the second distance is about 0.24 in. ± 0. 125 in., a target cable ampacity of the cables positioned within the device is about 500 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

53. The system of claim 40, further comprising: a fifth arm being a third angle relative to the reference plane, the fifth arm being separated from the second arm by a third distance; and a sixth arm being a mirror of and extending opposite to the fifth arm, the sixth arm being separated from the first arm by at least the second distance.

54. The system of claim 53, wherein the first angle is about 34° ± 5°, the second angle is about 16° ± 5°, the third angle is about 0° + 5°, the first distance is about 0.69 in. ± 0.25 in., the second distance is about 0.33 in. ± 0.125 in., the third distance is about 0.69 in. ± 0.25 in., a target cable ampacity of the cables positioned within the device is about 411 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

55. The system of claim 53, wherein the first angle is about 35° ± 5°, the second angle is about 18° ± 5°. the third angle is about 0° + 5°, the first distance is about 0.59 in. ± 0.25 in., the second distance is about 0.24 in. ± 0. 125 in., the third distance is about 0.59 in. ± 0.25 in., a target cable ampacity of the cables positioned within the device is about 453 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

56. The system of claim 53, wherein the first angle is about 35° ± 5°, the second angle is about 21° ± 5°, the third angle is about 5° ± 5°, the first distance is about 0.59 in. ± 0.25 in., the second distance is about 0.24 in. ± 0. 125 in., the third distance is about 0.59 in. ± 0.25 in., a target cable ampacity of the cables positioned within the device is about 525 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

57. The system of claim 53, wherein the first angle is about 35° ± 5°, the second angle is about 25° ± 5°. the third angle is about 11° ± 5°. the first distance is about 0.34 in. ± 0.25 in., the second distance is about 0.24 in. ± 0. 125 in., the third distance is about 0.34 in. ± 0.25 in., a target cable ampacity of the cables positioned within the device is about 606 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

58. The system of claim 53, further comprising: a seventh arm being at a fourth angle relative to the reference plane, the seventh arm being separated from the fifth arm by a fourth distance; and an eighth arm being a mirror of and extending opposite to the seventh arm, the eighth arm being separated from the first arm by at least the second distance.

59. The system of claim 58, wherein the first angle is about 34° ± 5°. the second angle is about 19° ± 5°, the third angle is about 2° + 5°, the fourth angle is about 0° + 5°, the first distance is about 0.75 in. ± 0.25 in., the second distance is about 0.33 in. ± 0.125 in., the third distance is about 0.75 in. ± 0.25 in., the fourth distance is about 0.75 in. ± 0.25 in., a target cable ampacity of the cables positioned within the device is about 606 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

60. The system of claim 58, wherein the first angle is about 35° ± 5°, the second angle is about 21° ± 5°. the third angle is about 6° ± 5°, the fourth angle is about 0° + 5°, the first distance is about 0.65 in. ± 0.25 in., the second distance is about 0.24 in. ± 0.125 in., the third distance is about 0.65 in. ± 0.25 in., the fourth distance is about 0.65 in. ± 0.25 in., a target cable ampacity of the cables positioned within the device is about 477 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

61. The system of claim 58, wherein the first angle is about 35° ± 5°, the second angle is about 24° ± 5°, the third angle is about 10° ± 5°, the fourth angle is about 0° + 5°, the first distance is about 0.55 in. ± 0.25 in., the second distance is about 0.24 in. ± 0.125 in., the third distance is about 0.55 in. ± 0.25 in., the fourth distance is about 0.55 in. ± 0.25 in., a target cable ampacity of the cables positioned within the device is about 539 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

62. The system of claim 58, further comprising: a ninth arm being at a fifth angle relative to the reference plane, the ninth arm being separated from the seventh arm by a fifth distance; and a tenth arm being a mirror of and extending opposite to the ninth arm. the tenth arm being separated from the first arm by at least the second distance.

63. The system of claim 62, wherein the first angle is about 34° ± 5°, the second angle is about 23° ± 5°, the third angle is about 10° ± 5°, the fourth angle is about 0° + 5°, the fifthangle is about 0° + 5°, the first distance is about 0.83 in. ± 0.25 in., the second distance is about 0.37 in. ± 0. 125 in., the third distance is about 0.83 in. ± 0.25 in., the fourth distance is about 0.83 in. ± 0.25 in., the fifth distance is about 0.83 in. ± 0.25 in., a target cable ampacity of the cables positioned within the device is about 431 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C; or wherein the first angle is about 35° ± 5°, the second angle is about 24° ± 5°, the third angle is about 13° ± 5°, the fourth angle is about 0° + 5°, the fifth angle is about 0° + 5°, the first distance is about 0.73 in. ± 0.25 in., the second distance is about 0.24 in. ± 0.125 in., the third distance is about 0.73 in. ± 0.25 in., the fourth distance is about 0.73 in. ± 0.25 in., the fifth distance is about 0.73 in. ± 0.25 in., a target cable ampacity of the cables positioned within the device is about 488 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C; or wherein the first angle is about 35° ± 5°, the second angle is about 27° ± 5°, the third angle is about 17° ± 5°, the fourth angle is about 6° ± 5°, the fifth angle is about 0° + 5°, the first distance is about 0.63 in. ± 0.25 in., the second distance is about 0.24 in. ± 0.125 in., the third distance is about 0.63 in. ± 0.25 in., the fourth distance is about 0.63 in. ± 0.25 in., the fifth distance is about 0.63 in. ± 0.25 in., a target cable ampacity of the cables positioned within the device is about 522 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C; or wherein the first angle is about 35° ± 5°. the second angle is about 30° ± 5°, the third angle is about 22° ± 5°, the fourth angle is about 13° ± 5°, the fifth angle is about 0° ± 5°, the first distance is about 0.48 in. ± 0.25 in., the second distance is about 0.24 in. ± 0.125 in., the third distance is about 0.48 in. ± 0.25 in., the fourth distance is about 0.48 in. ± 0.25 in., the fifth distance is about 0.48 in. ± 0.25 in., a target cable ampacity of the cables positioned within the device is about 613 amps ± 50 amps, and a predetermined temperature is about 35 °C ± 5 °C.

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