Overhead line length calculation method, system, device and medium based on day phase method
By using the solar phase method to calculate the length of overhead lines as an equivalent power, the problem of inaccurate calculations in existing technologies is solved, achieving high-precision line length calculations that are applicable to the design and construction of power facilities.
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- POWERCHINA FUJIAN ELECTRIC POWER SURVEY & DESIGN INST CO LTD
- Filing Date
- 2022-08-31
- Publication Date
- 2026-07-21
AI Technical Summary
Existing technologies, especially when calculating the length of overhead power lines with long spans, are not accurate enough using a planar parabolic model, and the stress state equations are complex, leading to inaccurate calculation results.
The method based on the solar phase is adopted, which is equivalent to the power calculation of the catenary. By obtaining the sag coefficient and span length of the catenary, and using the ratio of the number of days of the summer solstice in a year to the annual cycle, the calculation process of the catenary line length is simplified, avoiding the use of hyperbolic functions.
It simplifies the calculation process, improves calculation accuracy with an error within the millimeter level, is applicable to the design and construction of power facilities at various voltage levels, reduces the difficulty of memorizing formulas, and is suitable for quick calculations using ordinary calculators.
Smart Images
Figure CN115455335B_ABST
Abstract
Description
Technical Field
[0001] This invention relates to a method, system, equipment, and medium for calculating the length of overhead power lines based on the solar phase method, belonging to the field of power facility parameter calculation technology. Background Technology
[0002] In overhead lines, if the sag coefficient of the catenary is k and the span is L, the line length can be calculated using (Equation 1).
[0003] When the suspension points are at the same height, the length of the catenary is L. c0 =s(kL) / k (Equation 1);
[0004] Where sh() is a hyperbolic sine function; k is the catenary slack coefficient (1 / m); and L is the span (m).
[0005] Because the above formula is related to the catenary sag coefficient k and contains hyperbolic functions, the conductor stress state equation becomes extremely complex, especially when calculating spans with elevation differences, making it very inconvenient for practical engineering applications. For example, when using Newton's iteration method to calculate stress, the derivative form of the stress state equation function is quite complex, sometimes resulting in incorrect results. Therefore, in engineering, it is often simplified to a parabolic model for calculation. However, the relationship between line length and sag calculated using the parabolic model is not very accurate for large spans (spans of 1000m and above). Summary of the Invention
[0006] To address the problems existing in the prior art, this invention proposes a method, system, equipment, and medium for calculating the length of overhead catenary lines based on the solar phase method. It provides a new calculation method that eliminates the need for hyperbolic function calculations and instead converts the line length into an equivalent power calculation, thus simplifying the calculation process for the catenary line length.
[0007] The technical solution of the present invention is as follows:
[0008] On the one hand, this invention proposes a method for calculating the length of overhead power lines based on the solar phase method, including the following steps:
[0009] Obtain the sag coefficient k and the span length L of the catenary;
[0010] When the two suspension points of the catenary are at the same height, the line length coefficient t when there is no height difference is calculated according to the following formula:
[0011]
[0012] In the formula, u is a dimensionless intermediate parameter;
[0013] Based on the calculated line length coefficient t, the length of the catenary when the elevation difference is h is calculated using the following formula:
[0014]
[0015] In the formula, h is the height difference between the two suspension points of the catenary, and L c Let h be the equivalent length of the catenary when the elevation difference is h, and h = 0, which is the equivalent length of the catenary when there is no elevation difference.
[0016] On the other hand, this invention also proposes an overhead line length calculation system based on the solar phase method, comprising:
[0017] The parameter acquisition module is used to obtain the sag coefficient k and the span length L of the catenary.
[0018] The line length coefficient calculation module is used to calculate the line length coefficient t when there is no height difference between the two suspension points of the catenary and the two suspension points are at the same height, according to the following formula:
[0019]
[0020] In the formula, u is a dimensionless intermediate parameter;
[0021] The conductor length calculation module is used to calculate the length of the catenary when the elevation difference is h, based on the calculated length coefficient t, using the following formula:
[0022]
[0023] In the formula, h is the height difference between the two suspension points of the catenary, and L c Let h be the equivalent length of the catenary when the elevation difference is h, and h = 0, which is the equivalent length of the catenary when there is no elevation difference.
[0024] In another aspect, the present invention also proposes an electronic device, including a memory, a processor, and a computer program stored in the memory and executable on the processor. When the processor executes the program, it implements the overhead line length calculation method based on the solar phase method as described in any embodiment of the present invention.
[0025] Furthermore, the present invention also proposes a computer-readable storage medium storing a computer program that, when executed by a processor, implements the overhead line length calculation method based on the solar phase method as described in any embodiment of the present invention.
[0026] The present invention has the following beneficial effects:
[0027] This invention provides a method for calculating the length of overhead power lines based on the solar phase method. The data model is simple, and the correction factor is exactly the ratio of the number of days of the summer solstice in a year to the annual cycle, which reduces the difficulty of memorizing the formula. It can be quickly calculated using a calculator with exponentiation, and is very convenient whether calculated manually or by machine. The application effect is very significant. Attached Figure Description
[0028] Figure 1This is a schematic diagram of the method flow according to an embodiment of the present invention. Detailed Implementation
[0029] The technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.
[0030] It should be understood that the step numbers used in the text are for ease of description only and are not intended to limit the order in which the steps are performed.
[0031] It should be understood that the terminology used in this specification is for the purpose of describing particular embodiments only and is not intended to limit the invention. As used in this specification and the appended claims, the singular forms “a,” “an,” and “the” are intended to include the plural forms unless the context clearly indicates otherwise.
[0032] The terms “comprising” and “including” indicate the presence of the described feature, whole, step, operation, element and / or component, but do not exclude the presence or addition of one or more other features, wholes, steps, operations, elements, components and / or collections thereof.
[0033] The term “and / or” refers to any combination of one or more of the associated listed items, as well as all possible combinations, and includes these combinations.
[0034] Example 1:
[0035] This embodiment proposes a method for calculating the length of overhead power lines based on the solar phase method. The method proposed in this embodiment connects the relationship between line length and slack, considers the correspondence between nature and physics, and draws inspiration from the "Huangdi Neijing" (Chapter 2, "On Regulating the Spirit with the Four Seasons"): "The three months of summer are called the flourishing season. The Qi of heaven and earth intertwine, and all things flourish and bear fruit. Go to bed late and get up early, without being averse to the sun, keep your mind free from anger, let your blossoms flourish, and let your Qi be released. As if you have love outside, this is the response to the Qi of summer and the way to nurture growth." The so-called "flourishing season" and "blooming and bearing fruit" can be understood as the wood's shape tending to its maximum elongation, reaching its limit at the summer solstice. At this time, all things are most relaxed, corresponding to the fullest external form, but the lowest internal elastic potential energy, which can be used to simulate the natural suspension state of an overhead power line under the highest temperature operating conditions.
[0036] Taking u = k·L as the variable, and connecting it to the "Six Sections and Visceral Manifestations" chapter of the *Huangdi Neijing* (Chapter 9, "Heaven uses six sixes to regulate the seasons, thus completing a year; man uses nine nines to regulate the cycles, totaling three hundred and sixty-five sections, which has been the basis of heaven and earth for a long time"), if we define the line length coefficient as the ratio of the actual line length to the span, then we can deduce that the overall formula for the line length coefficient should be Y.1 / 6 In the form of the sixth root, the relationship between Y and u can be written as Y = 1 + B·u. 2 +C·u 4 Based on the fundamental relationship of the catenary, B = 1. The summer solstice falls around June 21st of the Gregorian calendar each year, which is approximately the 171st day of the year. Corresponding to this relationship, the estimated adjustment coefficient C = 171 / 365 is deduced. Therefore, the line length coefficient is... Based on this relationship, the length of the catenary can be calculated. This method does not require the use of hyperbolic functions for calculation; instead, it equates the length to a power calculation, making the concept relatively simple.
[0037] See Figure 1 The calculation method specifically includes the following steps:
[0038] S100, obtain the sag coefficient k and span length L of the overhead line catenary;
[0039] S200. When the two suspension points of the catenary are at the same height, the line length coefficient t when there is no height difference is calculated according to the following (Equation 2):
[0040]
[0041] In the formula, L is the span length in meters; k is the sag coefficient in 1 / m; and u is a dimensionless intermediate parameter.
[0042] S300. Based on the calculated line length coefficient t, calculate the length of the catenary when the elevation difference is h according to the following formula (3):
[0043]
[0044] In the formula, h is the height difference between the two suspension points of the catenary, in meters; L c The equivalent length of the catenary is given when the elevation difference is h, and the unit is m. When h = 0, the equivalent length of the catenary is calculated when there is no elevation difference.
[0045] The method proposed in this embodiment is based on the characteristics of overhead conductors and inspired by the concepts in the "Huangdi Neijing" such as "Heaven regulates the seasons with six sixes" and "The three months of summer are called the flourishing season, when the qi of heaven and earth intersect and all things flourish and bear fruit." The formula for calculating the line length is defined as a six-fold opening method, which corresponds to the circulation of the six qi. The correlation coefficient is determined by combining the summer solstice, which is the 171st day of the year.
[0046] According to calculations, the relative error between the equivalent catenary length calculated by this method (Equation 2) and the theoretical model formula of the catenary is within 4E-6 (absolute error at the millimeter level), which can be considered equivalent in practical engineering.
[0047] This invention can be applied to all aspects of design, construction, and project acceptance, and is applicable to all voltage levels.
[0048] To demonstrate the effectiveness and superiority of the method proposed in this embodiment, a specific application example is provided:
[0049] For a certain railway line with a span between 300-800m, when using the sag coefficient k = 0.00030 / m to determine the sag f, the line length error calculated based on the solar phase method proposed in this embodiment and the traditional ideal catenary method is as follows:
[0050] The line length and relative error calculated according to the method of this embodiment are shown in Tables 1 and 2 below:
[0051] Table 1: Errors in line length calculated by the method in this embodiment compared to the ideal catenary method (without elevation difference)
[0052]
[0053]
[0054] Table 2: Errors in line length calculated by the method in this embodiment compared to the ideal catenary method (with elevation differences)
[0055] 0.0003 300 50 304.5378 304.5378 7.68E-09 0.0003 400 50 404.0662 404.0662 -4.35E-09 0.0003 500 50 504.3616 504.3616 -1.01E-07 0.0003 600 80 608.5268 608.5265 -4.31E-07 0.0003 700 80 709.6798 709.6789 -1.29E-06 0.0003 800 80 811.6543 811.6518 -3.14E-06
[0056] As shown in Tables 1 and 2 above, the relative error gradually increases with the span length. However, within the engineering span range, the largest relative error is only 3.2E-06 mm, and the error is approximately 2.56 mm at a span length of 800 m. This is sufficiently accurate for transmission lines. Therefore, it can be concluded that the day phase method and the ideal catenary method proposed in this embodiment are equivalent in practical engineering applications and can be selected according to engineering needs. Since the coefficients in the formula of this embodiment are determined based on the ratio of the 171st day corresponding to the summer solstice to the 365-day annual cycle, they are easy to remember. Therefore, it is very convenient to calculate the sag and length adjustment of the conductor during construction. It is also convenient to use a common calculator with power function function on the construction site for accurate calculation, which can improve the designer's ability to solve practical construction problems on site.
[0057] This embodiment provides a method for calculating the length of overhead conductors using the solar phase method, given the sag coefficient k and span length L. The main formula is as follows: The data model is simple, and the correction term coefficient is exactly the ratio of the number of days of the summer solstice in a year to the annual cycle, which reduces the difficulty of memorizing the formula. It can be quickly calculated using a calculator with exponentiation, and it is very convenient whether calculated by hand or by machine. Therefore, the application effect is very significant.
[0058] Example 2:
[0059] This embodiment proposes an overhead line length calculation system based on the solar phase method, including:
[0060] The parameter acquisition module is used to acquire the sag coefficient k and the span length L of the catenary; this module is used to implement the function of step S100 in Embodiment 1, and will not be described again here.
[0061] The line length coefficient calculation module is used to calculate the line length coefficient t when there is no height difference between the two suspension points of the catenary and the two suspension points are at the same height, according to the following formula:
[0062]
[0063] In the formula, u is a dimensionless intermediate parameter; this module is used to implement the function of step S200 in Example 1, and will not be described again here;
[0064] The conductor length calculation module is used to calculate the length of the catenary when the elevation difference is h, based on the calculated length coefficient t, using the following formula:
[0065]
[0066] In the formula, h is the height difference between the two suspension points of the catenary, and L c The equivalent length of the catenary when the elevation difference is h, and the equivalent length of the catenary when h = 0, i.e. when there is no elevation difference, is used to implement the function of step S300 in Embodiment 1, which will not be described again here.
[0067] Implementation Three:
[0068] This embodiment proposes an electronic device, including a memory, a processor, and a computer program stored in the memory and executable on the processor. When the processor executes the program, it implements the overhead line length calculation method based on the solar phase method as described in any embodiment of the present invention.
[0069] Example 4:
[0070] This embodiment proposes a computer-readable storage medium storing a computer program that, when executed by a processor, implements the overhead line length calculation method based on the solar phase method as described in any embodiment of the present invention.
[0071] In this application embodiment, "at least one" refers to one or more, and "more than one" refers to two or more. "And / or" describes the relationship between related objects, indicating that three relationships can exist. For example, A and / or B can represent the existence of A alone, A and B simultaneously, or B alone. A and B can be singular or plural. The character " / " generally indicates that the preceding and following related objects are in an "or" relationship. "At least one of the following" and similar expressions refer to any combination of these items, including any combination of singular or plural items. For example, at least one of a, b, and c can represent: a, b, c, a and b, a and c, b and c, or a and b and c, where a, b, and c can be single or multiple.
[0072] Those skilled in the art will recognize that the units and algorithm steps described in the embodiments disclosed herein can be implemented using electronic hardware, computer software, or a combination of electronic hardware and software. Whether these functions are implemented in hardware or software depends on the specific application and design constraints of the technical solution. Those skilled in the art can use different methods to implement the described functions for each specific application, but such implementation should not be considered beyond the scope of this application.
[0073] Those skilled in the art will understand that, for the sake of convenience and brevity, the specific working processes of the systems, devices, and units described above can be referred to the corresponding processes in the foregoing method embodiments, and will not be repeated here.
[0074] In the several embodiments provided in this application, any function, if implemented as a software functional unit and sold or used as an independent product, can be stored in a computer-readable storage medium. Based on this understanding, the technical solution of this application, in essence, or the part that contributes to the prior art, or a part of the technical solution, can be embodied in the form of a software product. This computer software product is stored in a storage medium and includes several instructions to cause a computer device (which may be a personal computer, server, or network device, etc.) to execute all or part of the steps of the methods described in the various embodiments of this application. The aforementioned storage medium includes various media capable of storing program code, such as USB flash drives, portable hard drives, read-only memory (ROM), random access memory (RAM), magnetic disks, or optical disks.
[0075] The above description is merely an embodiment of the present invention and does not limit the patent scope of the present invention. Any equivalent structural or procedural transformations made based on the content of the present invention's specification and drawings, or direct or indirect applications in other related technical fields, are similarly included within the patent protection scope of the present invention.
Claims
1. A method for calculating the length of overhead power lines based on the solar phase method, characterized in that, Includes the following steps: Obtain the slack coefficient k and the span length L of the catenary; When the two suspension points of the catenary are at the same height, the line length coefficient t when there is no height difference is calculated according to the following formula: ； In the formula, k is the slack coefficient of the catenary, with units of 1 / m; L is the span length, with units of m; These are dimensionless intermediate parameters; Based on the calculated line length coefficient t, the length of the catenary when the elevation difference is h is calculated using the following formula: ； In the formula, h is the height difference between the two suspension points of the catenary. The equivalent length of the catenary when the elevation difference is h is the equivalent length of the catenary when h=0, i.e., when there is no elevation difference.
2. A system for calculating the length of overhead power lines based on the solar phase method, characterized in that, include: The parameter acquisition module is used to obtain the slack coefficient k and the span length L of the catenary. The line length coefficient calculation module is used to calculate the line length coefficient t when there is no height difference between the two suspension points of the catenary and the two suspension points are at the same height, according to the following formula: ； In the formula, k is the slack coefficient of the catenary, with units of 1 / m; L is the span length, with units of m; These are dimensionless intermediate parameters; The conductor length calculation module is used to calculate the length of the catenary when the elevation difference is h, based on the calculated length coefficient t, using the following formula: ； In the formula, h is the height difference between the two suspension points of the catenary. The equivalent length of the catenary when the elevation difference is h is the equivalent length of the catenary when h=0, i.e., when there is no elevation difference.
3. An electronic device, comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, characterized in that, When the processor executes the program, it implements the overhead line length calculation method based on the solar phase method as described in claim 1.
4. A computer-readable storage medium having a computer program stored thereon, characterized in that, When the program is executed by the processor, it implements the overhead line length calculation method based on the solar phase method as described in claim 1.