A method for modeling catenary-pantograph arc of jointed anchor segment electric section

Abstract

The application provides a catenary-pantograph arc modeling method for anchor section articulated electric segmentation, relates to the technical field of catenary-pantograph arc model design and optimization, and constructs an arc model based on transverse arc blowing, determines the arc length of the electric segmentation area based on the lifting height of the curved structure relative to the horizontal structure in the first contact line, and obtains the catenary-pantograph arc model for anchor section articulated electric segmentation according to the arc length and the arc model based on transverse arc blowing. When the catenary-pantograph arc model is modeled, not only the influence of transverse arc blowing is considered, but also the arc length is determined based on the lifting height of the curved structure relative to the horizontal structure in the first contact line, and the actual structure of the first contact line in the electric segmentation area is considered, which can provide a theoretical basis and simulation modeling reference for subsequent research on the arc of anchor section articulated electric segmentation, has practical significance and good application prospect for maintaining and guaranteeing the safe and stable operation of the catenary-pantograph system.

Description

Technical Field

[0001] This application relates to the field of pantograph-catenary arc model design and optimization technology, specifically to a pantograph-catenary arc modeling method using an anchor segment articulated electrical segment. Background Technology

[0002] In electrified railways, electrical segmentation devices divide the overhead contact line into different independent power supply units. This increases the flexibility and stability of the overhead contact line power supply, reduces the scope of power outages, and can also meet power supply, maintenance, and other special needs. The anchor-section articulated electrical segmentation structure is one type of electrical segmentation device, serving to mechanically and electrically disconnect the overhead contact line conductors. When an electric locomotive passes through an insulated anchor-section articulated electrical segment without power, the contact wires at both ends of the break will experience off-center loading and a voltage difference that breaks down the air, leading to pantograph-catenary arcing. Frequent occurrences of electrical segmentation arcing severely affect the current collection quality of the electric locomotive and directly threaten its long-term safe and stable operation. Furthermore, in severe cases, pantograph-catenary arcing may burn out the contact wire, causing line interruption. Currently, research on numerical simulation modeling of pantograph-catenary arcing is relatively mature, while research on electrical segmentation arcing remains relatively limited. Furthermore, current arc models for anchor-section articulated electric sections only simplify them into horizontally raised mechanical structures, without considering the actual parabolic structure of the train passing through the electric section. This results in inaccurate descriptions of the electrical characteristics of the electric section arc, such as arcing time, arc voltage, and arc current, in existing research. Summary of the Invention

[0003] In view of the shortcomings of the above-mentioned related technologies, this application provides a pantograph-catenary arc modeling method for anchor segment articulated electrical segments to solve the above-mentioned technical problems.

[0004] This application provides a method for modeling pantograph-catenary arcs in an anchor-section articulated electrical segment, including:

[0005] Construct an electric arc model based on transverse blowing arc;

[0006] The arc length of the power output segment region is obtained based on the angle between the second contact line and the horizontal line of the contour point, the horizontal distance between the pantograph and the contour point, the elevation height of the curved structure in the first contact line relative to the horizontal line structure, and the height difference between the horizontal line structure of the first contact line and the horizontal line of the contour point. The first contact line is the contact line that contacts the pantograph in the power output segment region, and the second contact line is the contact line that is far away from the pantograph in the power output segment region. The horizontal line passing through the contour point of the first contact line and the second contact line is the horizontal line of the contour point. In the power output segment region, the pantograph first passes through the curved structure of the first contact line and then passes through the horizontal line structure of the first contact line.

[0007] Based on the arc length of the electric arc in the power output segment region and the arc model based on the transverse blowing arc, the pantograph-catenary arc model of the anchor segment articulated electric arc segment is determined.

[0008] In one embodiment of this application, constructing an arc model based on transverse arc blowing includes:

[0009] Based on the transverse arc blowing extension arc dissipation power, the total dissipation power during transverse arc blowing is obtained;

[0010] Based on the total power dissipation during transverse arc blowing and the initial arc model, an arc model based on transverse arc blowing is obtained.

[0011] In one embodiment of this application, the total dissipation power during transverse arc blowing is obtained based on the arc dissipation power of the transverse arc blowing, including:

[0012] The total power dissipation during transverse arc blowing is determined based on the power dissipation constant, arc length, arc velocity relative to air, and instantaneous arc current.

[0013] In one embodiment of this application, the arc length of the power output segment region is obtained based on the angle between the second contact line and the horizontal line of the contour point, the horizontal distance between the pantograph and the contour point, the elevation height of the curved structure in the first contact line relative to the horizontal line structure, and the height difference between the horizontal line structure of the first contact line and the horizontal line of the contour point, including:

[0014] The horizontal distance between the pantograph and the contour point is determined based on the train's speed when passing through the anchor section articulated electric substation and the arcing time when the train leaves the electric substation area.

[0015] In one embodiment of this application, the arc length of the power output segment region is obtained based on the angle between the second contact line and the horizontal line of the contour point, the horizontal distance between the pantograph and the contour point, the elevation height of the curved structure in the first contact line relative to the horizontal line structure, and the height difference between the horizontal line structure of the first contact line and the horizontal line of the contour point, including:

[0016] The power output segment area is divided by a horizontal line of equal elevation points to obtain a first partition and a constant slope partition. The first contact line is located in the first partition, and the second contact line is located in the constant slope partition.

[0017] The first partition is divided by a transition line, resulting in a curved partition and a horizontal partition. The transition line passes through a transition point and is perpendicular to the horizontal line of the contour point. The transition point is the intersection of the curved structure of the first contact line and the horizontal structure of the first contact line.

[0018] A Cartesian coordinate system is established with the transition point of the first contact line as the origin. Based on the horizontal distance between the pantograph and the contour point, the lifting height of the curved structure in the first contact line relative to the horizontal line structure is determined.

[0019] In one embodiment of this application, determining the lifting height of the curved structure relative to the horizontal line structure in the first contact line based on the horizontal distance between the pantograph and the contour point includes:

[0020] Based on the linear density of the first contact wire, the tension of the first contact wire, the horizontal distance between the contour point and the transition point, and the horizontal distance between the pantograph and the contour point when the train is in the energized section area, the lifting height of the curved structure relative to the horizontal line structure in the first contact wire is determined.

[0021] In one embodiment of this application, the arc length of the power output segment region is obtained based on the angle between the second contact line and the horizontal line of the contour point, the horizontal distance between the pantograph and the contour point, the elevation height of the curved structure in the first contact line relative to the horizontal line structure, and the height difference between the horizontal line structure of the first contact line and the horizontal line of the contour point, including:

[0022] Based on the angle between the second contact line and the horizontal line of the contour point, and the horizontal distance between the pantograph and the contour point, determine the length of the electric arc in the constant slope zone;

[0023] The length of the electric arc in the first zone is determined based on the height of the curved structure relative to the horizontal structure in the first contact line and the height difference between the horizontal structure of the first contact line and the horizontal line at the same height point.

[0024] The arc length of the electric arc in the constant slope region and the arc length in the first region are obtained based on the arc length of the electric arc in the power output segment region.

[0025] In one embodiment of this application, the length of the electric arc in the first zone is determined based on the elevation height of the curved structure relative to the horizontal structure in the first contact line and the height difference between the horizontal structure of the first contact line and the horizontal line at the same elevation point, including:

[0026] When the pantograph comes into contact with the curved structure of the first contact line, the length of the arc in the first section is determined based on the lifting height of the curved structure relative to the horizontal structure in the first contact line and the height difference between the horizontal structure of the first contact line and the horizontal line at the same height point.

[0027] When the pantograph comes into contact with the horizontal structure of the first contact line, the height difference between the horizontal structure of the first contact line and the horizontal line of the equal height point is determined as the length of the electric arc in the first section.

[0028] In one embodiment of this application, the length of the electric arc in the first zone is determined based on the elevation height of the curved structure relative to the horizontal structure in the first contact line and the height difference between the horizontal structure of the first contact line and the horizontal line at the same elevation point, including:

[0029] The length of the electric arc in the first zone is determined by the height difference between the horizontal structure of the first contact line and the horizontal line of the equal height point, and the difference in the height of the curved structure in the first contact line relative to the horizontal structure.

[0030] As described above, the pantograph-catenary arc modeling method for anchor segment articulated electrical sections provided in this application has the following beneficial effects:

[0031] This application discloses a pantograph-catenary arc modeling method for an anchor-section articulated electrical segment. This method constructs an arc model based on lateral arc blowing and determines the arc length of the electrical segment region based on the rise height of the curved structure in the first contact line relative to the horizontal line structure. Based on the arc length and the arc model based on lateral arc blowing, the pantograph-catenary arc model for the anchor-section articulated electrical segment is obtained. In modeling the pantograph-catenary arc, not only is the influence of lateral arc blowing considered, but the arc length is also determined based on the rise height of the curved structure in the first contact line relative to the horizontal line structure. This method takes into account the actual structure of the first contact line in the electrical segment region, providing a theoretical basis and simulation modeling reference for subsequent research on anchor-section articulated electrical segment arcs. It has practical significance and promising application prospects for maintaining and ensuring the safe and stable operation of the pantograph-catenary system.

[0032] It should be understood that the above general description and the following detailed description are exemplary and explanatory only, and do not limit this application. Attached Figure Description

[0033] The accompanying drawings, which are incorporated in and form part of this specification, illustrate embodiments consistent with this application and, together with the description, serve to explain the principles of this application. It is obvious that the drawings described below are merely some embodiments of this application, and those skilled in the art can obtain other drawings based on these drawings without any inventive effort. In the drawings:

[0034] Figure 1 This is a flowchart illustrating a pantograph-catenary arc modeling method for anchor segment articulated electrical sub-segments, as shown in an exemplary embodiment of this application.

[0035] Figure 2 This is a schematic diagram of the arc-splitting region of the anchor segment articulated by an exemplary embodiment of this application;

[0036] Figure 3 This is a schematic diagram illustrating the structure of a pantograph-catenary arc simulation model in the MATLAB / Simulink platform, as shown in an exemplary embodiment of this application.

[0037] Figure 4 This is a flowchart illustrating the calculation of the arc control function in an exemplary embodiment of this application;

[0038] Figure 5This is a top view of a five-span anchor segment articulated electrical sub-section shown in an exemplary embodiment of this application;

[0039] Figure 6 This is a front view of a five-span anchor segment articulated electrical segmentation, as illustrated in an exemplary embodiment of this application. Detailed Implementation

[0040] The embodiments of this application will be described below with reference to the accompanying drawings and preferred embodiments. Those skilled in the art can easily understand other advantages and effects of this application from the content disclosed in this specification. This application can also be implemented or applied through other different specific embodiments, and various details in this specification can also be modified or changed based on different viewpoints and applications without departing from the spirit of this application. It should be understood that the preferred embodiments are only for illustrating this application and are not intended to limit the scope of protection of this application.

[0041] It should be noted that the illustrations provided in the following embodiments are only schematic representations of the basic concept of this application. Therefore, the drawings only show the components related to this application and are not drawn according to the actual number, shape and size of the components in the actual implementation. In the actual implementation, the form, quantity and proportion of each component can be arbitrarily changed, and the layout of the components may also be more complex.

[0042] In the following description, numerous details are explored to provide a more thorough explanation of embodiments of the present application. However, it will be apparent to those skilled in the art that embodiments of the present application may be practiced without these specific details. In other embodiments, well-known structures and devices are shown in block diagram form rather than in detail to avoid obscuring embodiments of the present application.

[0043] Please see Figure 1 , Figure 1 This is a flowchart illustrating a pantograph-catenary arc modeling method for anchor-jointed electrical segments, as shown in an exemplary embodiment of this application. (Reference) Figure 1 It can be seen that the pantograph-catenary arc modeling method for this jointed electrical sub-segment can include:

[0044] Step S110: Construct an electric arc model based on transverse arc blowing.

[0045] In one embodiment of this application, an electric arc is generated when the pantograph moves from one contact wire to another. The airflow direction in the lateral arc blowing is perpendicular to the arc axis. Lateral arc blowing increases the airflow velocity in the arc region, rapidly carrying away heat and lowering the arc temperature, thereby accelerating the arc extinguishing process. Incorporating the lateral arc blowing factor into the pantograph-catenary arc model allows for a more accurate simulation of arc behavior under actual working conditions, providing a more realistic pantograph-catenary arc model.

[0046] In one possible implementation, constructing an arc model based on transverse arc blowing may include expanding the arc dissipation power based on transverse arc blowing to obtain the total dissipation power when the arc blows transversely; and obtaining an arc model based on transverse arc blowing based on the total dissipation power when the arc blows transversely and the initial arc model.

[0047] In an exemplary embodiment, the total dissipation power during transverse arc blowing can be determined based on the power dissipation constant, the arc length, the arc velocity relative to the air, and the instantaneous current of the arc. The total dissipation power during transverse arc blowing may include:

[0048] When considering the power dissipation of the arc during transverse arc blowing, the arc moves relative to the air at a speed of... The motion was carried out, and the power dissipation P per unit arc length was obtained from the experiment. k With speed The relationship between them is:

[0049] ,

[0050] in, The value of the arc dissipation power correlation coefficient is related to the actual operation of the train and the dissipation power, and can be set to 1. P is the diameter of the electric arc, in meters (m). k The power dissipation is the power per unit arc length.

[0051] For an electric arc moving laterally in the atmosphere, the relationship between the arc diameter and the arc current can be expressed as:

[0052] ,

[0053] in, This is a proportionality constant, the value of which depends on the transverse speed of the arc in the air, the electrode material, and the magnitude of the arc current. It is generally taken as 1.6e9.

[0054] make The arc length can be obtained as The relationship between power dissipation and arc diameter and arc velocity is expressed as follows:

[0055] ,

[0056] in, This represents the total power dissipated during transverse arc blowing, expressed in W. Let be the power dissipation constant. The speed of the electric arc relative to the air, measured in m / s; The arc length is measured in meters (m). This is the instantaneous value of the arc current, expressed in amperes (A).

[0057] For example, the specific process of obtaining an arc model based on transverse arc blowing, according to the total power dissipation during transverse arc blowing and the initial arc model, may include:

[0058] By concatenating the Mayr and Cassie models, we obtain the initial arc model (Habedank arc model). The expression for the initial arc model is:

[0059] ,

[0060] in, For the arc conductance of the Cassie model, For the arc conductance in the Mayr model, The time constant of the Cassie model. The time constant of the Mayr model. Arc voltage This represents the power dissipated by the electric arc. This is the instantaneous value of the arc current. For the Hadedank model of arc conductance;

[0061] The arc voltage can be extended to obtain:

[0062] ,

[0063] in, The arc length is the length of the arc outside the pantograph-catenary line, also known as the arc length, measured in meters (m). It should be noted that the voltage drop in the arc column region accounts for a relatively large proportion of the arc voltage; therefore, the arc voltage Uc is considered to be the voltage difference in the arc column region. The arc voltage gradient depends only on the arc length and is independent of parameters such as the arc current. Its scaling factor is a positive constant, typically taken as 15 V / cm.

[0064] make The expression for the arc model based on transverse arc blowing can be:

[0065] ;

[0066] in, For the arc conductance of the Cassie model, For the arc conductance in the Mayr model, The time constant of the Cassie model. The time constant of the Mayr model. Arc voltage For the arc conductance in the Habedank model, This is the instantaneous value of the arc current.

[0067] Step S120: Based on the angle between the second contact line and the horizontal line of the contour point, the horizontal distance between the pantograph and the contour point, the lifting height of the curved structure in the first contact line relative to the horizontal line structure, and the height difference between the horizontal line structure of the first contact line and the horizontal line of the contour point, the arc length of the electric arc in the power output segment region is obtained.

[0068] The first contact line is the contact line that contacts the pantograph in the power output segment area, and the second contact line is the contact line that is far away from the pantograph in the power output segment area. The horizontal line passing through the equal height points of the first contact line and the second contact line is the equal height horizontal line. In the power output segment area, the pantograph first passes through the curved structure of the first contact line and then passes through the horizontal line structure of the first contact line.

[0069] In one embodiment of this application, the horizontal distance between the pantograph and the contour point can be determined based on the train's speed when passing through the anchor section articulated electric joist and the arcing time when the train leaves the electric joist area. Specifically, it may include:

[0070] ;

[0071] in, The horizontal distance between the pantograph and the elevation point when the train is in the energized section. The speed of the train when it passes through the anchor section articulated electric section, in m / s; The arcing time is measured in seconds (s) during the energized section of the train.

[0072] In one embodiment of this application, the power output segment region can be divided by a horizontal line of contour points to obtain a first partition and a constant slope partition. The first contact line is located in the first partition, and the second contact line is located in the constant slope partition. The first partition is divided by a transition line to obtain a curved partition and a horizontal line partition. The transition line passes through a transition point and is perpendicular to the horizontal line of contour points. The transition point is the intersection of the curved structure and the horizontal structure of the first contact line. A Cartesian coordinate system is established with the transition point of the first contact line as the origin. Based on the horizontal distance between the pantograph and the contour points, the lifting height of the curved structure relative to the horizontal structure in the first contact line is determined.

[0073] It should be noted that the second contact line is located in a constant slope zone, and the slope of the second contact line in the constant slope zone is a constant value. The first contact line has a curved structure (specifically, a parabolic structure) in the curved section of the first zone, and a horizontal structure in the horizontal line section of the first zone. That is, in the horizontal line section, the first parabola is parallel to the horizontal line of the contour point.

[0074] For example, please refer to Figure 2This is a schematic diagram of the arc-breaking region of an anchor-section articulated electric segment, illustrating an exemplary embodiment of this application. In the diagram, the arrows indicate the train's direction of travel; w1 is the first contact line; w2 is the second contact line; p is a contour point; p1 is the horizontal line of the contour point; L is the electric arc; L1 is the length of the electric arc in the first section; L2 is the length of the electric arc in the section with a constant slope; T is a transition point; T1 is the horizontal line section; T2 is the curve section; and T3 is the section with a constant slope. The height difference between the horizontal structure of the first contact line and the horizontal line of the contour point. The angle between the second contact wire and the horizontal line of the contour point is defined as follows: The area to the left of the contour point is the power outage section, and the area to the right of the contour point is the power inflow section. In the power inflow section, the train's pantograph contacts the second contact wire and gradually approaches the first contact wire until it contacts the first contact wire. In the power outage section, the train's pantograph contacts the first contact wire and gradually moves away from the second contact wire.

[0075] In one possible implementation, the lifting height of the curved structure relative to the horizontal line structure in the first contact wire can be determined based on the linear density of the first contact wire, the tension of the first contact wire, the horizontal distance between the contour point and the transition point, and the horizontal distance between the pantograph and the contour point when the train is in the energized section area.

[0076] The expression for the lifting height of the curved structure relative to the horizontal structure in the first contact line can be:

[0077] ,

[0078] in, The height of the curved structure relative to the horizontal structure in the first contact line, in meters; The linear density of the first contact line is expressed in kg / m. The tension of the first contact wire is expressed in kN. This represents the horizontal distance between contour points and transition points, in meters (m). The horizontal distance between the pantograph and the elevation point when the train is in the electrified section is measured in meters.

[0079] In one embodiment of this application, step S120, which is the process of obtaining the arc length of the power output segment region based on the angle between the second contact line and the horizontal line of the contour point, the horizontal distance between the pantograph and the contour point, the lifting height of the curved structure in the first contact line relative to the horizontal line structure, and the height difference between the horizontal line structure of the first contact line and the horizontal line of the contour point, may include steps S121 to S123.

[0080] Step S121: Based on the angle between the second contact line and the horizontal line of the contour point, and the horizontal distance between the pantograph and the contour point, determine the length of the electric arc in the constant slope zone.

[0081] For example, the length of the electric arc in a region with a constant slope can be expressed as:

[0082] ,

[0083] in, The angle between the second contact line and the horizontal line of the contour point. The horizontal distance between the pantograph and the elevation point when the train is in the energized section. The length of the electric arc in the region with a constant slope is expressed in meters (m).

[0084] Step S122: Determine the length of the electric arc in the first zone based on the lifting height of the curved structure relative to the horizontal structure in the first contact line and the height difference between the horizontal structure of the first contact line and the horizontal line at the same height point.

[0085] In one embodiment of this application, when the pantograph contacts the curved structure of the first contact line, the length of the arc in the first zone can be determined based on the height difference between the curved structure and the horizontal structure of the first contact line and the horizontal line at the same elevation point; when the pantograph contacts the horizontal structure of the first contact line, the height difference between the horizontal structure of the first contact line and the horizontal line at the same elevation point can be determined as the length of the arc in the first zone.

[0086] In one possible implementation, when the pantograph contacts the curved structure of the first contact line, the height difference between the horizontal structure of the first contact line and the horizontal line at the same elevation point, and the difference in the height difference between the curved structure of the first contact line and the horizontal structure, can be determined as the length of the arc in the first section.

[0087] For example, the length of the electric arc in the first section can be expressed as:

[0088] ,

[0089] in, This indicates the length of the electric arc in the first section, in meters. The height difference between the horizontal structure of the first contact line and the horizontal line of the contour point is expressed in meters (m). The horizontal distance between the pantograph and the elevation point when the train is in the energized section. The linear density of the first contact line. The tension of the first contact line, This represents the horizontal distance between contour points and transition points. This indicates that the electric arc is located in the curved section (that is, the case where the pantograph is in contact with the curved structure of the first contact wire). This indicates that the electric arc is located in the horizontal section (that is, the pantograph is in contact with the horizontal structure of the first contact wire).

[0090] Step S123: Based on the length of the electric arc in the constant slope partition and the length of the electric arc in the first partition, the arc length of the electric arc in the power output segment region is obtained.

[0091] In one embodiment of this application, the arc length of the electric arc in the constant slope partition and the sum of the length of the electric arc in the first partition can be determined as the arc length of the electric output segment region.

[0092] For example, the arc length of the electric arc in the segmented power output region can be expressed as:

[0093] .

[0094] When a train exits a energized section, a voltage difference is generated between the pantograph and the non-working contact wire, and an electric arc begins to form. Since anchor-joint type energized sections are mostly located near stations, the train is generally starting or braking when passing through the energized section, so the travel speed is relatively slow. The electric arc can be approximated as burning perpendicular to the pantograph plane. Therefore, the arc length can be equivalent to the total length of the first section and the section with a constant slope.

[0095] Step S130: Determine the pantograph-catenary arc model of the anchor section articulated electrical segment based on the arc length of the electrical segment region and the arc model based on the transverse blowing arc.

[0096] In one embodiment of this application, the pantograph-catenary arc model of the anchor segment articulated electrical sub-section may include:

[0097] ,

[0098] The expression for the arc length of the energized segment region is:

[0099] .

[0100] For example, , Take 1.5 10 -5 s, initial conductance of the electric arc , Take 0.2s, and g is 1s.

[0101] The pantograph-catenary arc modeling method for the anchor-section articulated electrical substation provided in this application considers the actual structure of the first contact wire, including both curved and straight structures, when determining the arc length of the substation region. This results in a more accurate arc length, enabling the pantograph-catenary arc model of the anchor-section articulated electrical substation to more accurately describe the dynamic process of the pantograph-catenary arc when a train passes through the anchor-section articulated electrical substation. This provides a theoretical basis and simulation modeling reference for studying the electrical characteristics of the substation arc voltage, arc current, and arcing time. Furthermore, the modeling method provided in this application is of great significance for studying how to ensure the current-carrying efficiency and current collection stability of the pantograph-catenary system, and improving the safety of trains passing through the anchor-section articulated electrical substation.

[0102] In one possible implementation, a pantograph-catenary arc model with articulated electrical segments can be built using MATLAB / Simulink simulation software. (See also...) Figure 3 This is a schematic diagram illustrating the structure of a pantograph-catenary arc simulation model in the MATLAB / Simulink platform, as an exemplary embodiment of this application. Specifically, the pantograph-catenary arc model with articulated anchor segments can be described using a nonlinear time-varying resistance. In MATLAB / Simulink, the S-function module is used to build the arc control function, where the input is the arc current with a delay element, and the output is the arc resistance at the current calculation moment. R is a sliding rheostat. It is the arc current. AM is the arc resistance, AM is the ammeter used to measure the arc current, VM is the voltmeter used to measure the arc voltage, and S-function is used to build the arc control function.

[0103] Please see Figure 4 This is a flowchart illustrating the calculation of the arc control function, as shown in an exemplary embodiment of this application. It can be based on... Figure 4 The calculation process of the arc control function shown is as follows: Figure 3 The simulated arc model of the pantograph-catenary circuit shown is used to determine the arc resistance at the current calculation time. Where t... n t represents the time taken during the nth iteration. end This indicates the preset calculation end time.

[0104] For example, please refer to Figure 5 This is a top view of a five-span anchor section articulated electrical segment, illustrating an exemplary embodiment of this application. PC represents the pantograph center, and A, B, C, and D are transition posts.

[0105] Please refer to Figure 6This is a front view of a five-span anchor section articulated electrical segmentation, illustrating an exemplary embodiment of this application. h1, h2, and h4 represent the vertical distances between the first contact line at the conversion column and the ground, and h3 represents the vertical distance between the contour point and the ground. a, b, c, d, and e represent different regions. The first contact line is a horizontal line in region a, a straight line with a constant slope in region b, a straight line with a constant slope in region c, a curve (i.e., a curved structure) in region d (region d can also be called the arcing region), and a horizontal line (i.e., a horizontal line structure) in region e. The electrical segmentation region may include portions of regions d and e. h1 can be 5800 mm, h2 can be 5450 mm, h3 can be 5340 mm, and h4 can be 5300 mm. The height difference between the horizontal structure of the first contact line and the horizontal line of the contour point... The value can be h3-h4=40mm=0.04m.

[0106] Table 1 shows the actual mechanical structure parameters of the electrical segment under different spans.

[0107] Table 1 Actual mechanical structure parameters of the electrical segment under different spans

[0108]

[0109] Referring to Table 1, the pantograph-catenary arc model for a five-span anchor section articulated electrical sub-segment can be obtained, including:

[0110] ,

[0111] in,

[0112] .

[0113] In the embodiments of this application, the terms "first" and "second" are used for descriptive purposes only and should not be construed as indicating or implying relative importance. The terms "comprising" and "including" as used throughout the specification and claims are open-ended terms and should therefore be interpreted as "comprising but not limited to".

[0114] The above embodiments are merely illustrative of the principles and effects of this application and are not intended to limit this application. Any person skilled in the art can modify or alter the above embodiments without departing from the spirit and scope of this application. Therefore, all equivalent modifications or alterations made by those skilled in the art without departing from the spirit and technical concept disclosed in this application should still be covered by the claims of this application.

Claims

1. A method for modeling pantograph-catenary electric arcs in an anchor-section articulated electrical segment, characterized in that, include: Construct an electric arc model based on transverse arc blowing; The arc length of the power output segment region is obtained based on the angle between the second contact line and the horizontal line of the contour point, the horizontal distance between the pantograph and the contour point, the elevation height of the curved structure in the first contact line relative to the horizontal line structure, and the height difference between the horizontal line structure of the first contact line and the horizontal line of the contour point. The first contact line is the contact line that contacts the pantograph in the power output segment region, and the second contact line is the contact line that is far away from the pantograph in the power output segment region. The horizontal line passing through the contour point of the first contact line and the second contact line is the horizontal line of the contour point. In the power output segment region, the pantograph first passes through the curved structure of the first contact line and then passes through the horizontal line structure of the first contact line. Based on the train's speed when passing through the anchor section articulated electric sub-section and the arcing time when the train leaves the electric sub-section area, the horizontal distance between the pantograph and the contour point is determined. The power output segment area is divided by a horizontal line of equal elevation points to obtain a first partition and a constant slope partition. The first contact line is located in the first partition, and the second contact line is located in the constant slope partition. The first partition is divided by a transition line, resulting in a curved partition and a horizontal partition. The transition line passes through a transition point and is perpendicular to the horizontal line of the contour point. The transition point is the intersection of the curved structure of the first contact line and the horizontal structure of the first contact line. A Cartesian coordinate system is established with the transition point of the first contact line as the origin. Based on the horizontal distance between the pantograph and the contour point, the lifting height of the curved structure in the first contact line relative to the horizontal line structure is determined. Based on the angle between the second contact line and the horizontal line of the contour point, and the horizontal distance between the pantograph and the contour point, determine the length of the electric arc in the constant slope zone; The length of the electric arc in the first zone is determined based on the height of the curved structure relative to the horizontal structure in the first contact line and the height difference between the horizontal structure of the first contact line and the horizontal line at the same height point. Based on the length of the electric arc in the constant slope region and the length of the electric arc in the first region, the arc length of the electric arc in the power output segment region is obtained. Based on the arc length of the electric arc in the power output segment region and the arc model based on the transverse blowing arc, the pantograph-catenary arc model of the anchor segment articulated electric arc segment is determined.

2. The pantograph-catenary arc modeling method for anchor segment articulated electrical sub-segments according to claim 1, characterized in that, Constructing an electric arc model based on transverse blowing arc, including: Based on the transverse arc blowing extension arc dissipation power, the total dissipation power during transverse arc blowing is obtained; Based on the total power dissipation during transverse arc blowing and the initial arc model, an arc model based on transverse arc blowing is obtained.

3. The pantograph-catenary arc modeling method for anchor segment articulated electrical sub-segments according to claim 2, characterized in that, Based on the extended arc dissipation power during transverse arc blowing, the total dissipation power during transverse arc blowing is obtained, including: The total power dissipation during transverse arc blowing is determined based on the power dissipation constant, arc length, arc velocity relative to air, and instantaneous arc current.

4. The pantograph-catenary arc modeling method for anchor segment articulated electrical sub-segments according to claim 1, characterized in that, Based on the horizontal distance between the pantograph and the contour points, the lifting height of the curved structure relative to the horizontal structure in the first contact line is determined, including: Based on the linear density of the first contact wire, the tension of the first contact wire, the horizontal distance between the contour point and the transition point, and the horizontal distance between the pantograph and the contour point when the train is in the energized section area, the lifting height of the curved structure relative to the horizontal line structure in the first contact wire is determined.

5. The method for modeling pantograph-catenary arc in an anchor-section articulated electrical segment according to claim 1, characterized in that, The length of the electric arc in the first zone is determined based on the relative elevation of the curved structure to the horizontal structure in the first contact line, and the height difference between the horizontal structure of the first contact line and the horizontal line at the same elevation point. When the pantograph comes into contact with the curved structure of the first contact line, the length of the arc in the first section is determined based on the lifting height of the curved structure relative to the horizontal structure in the first contact line and the height difference between the horizontal structure of the first contact line and the horizontal line at the same height point. When the pantograph comes into contact with the horizontal structure of the first contact line, the height difference between the horizontal structure of the first contact line and the horizontal line of the equal height point is determined as the length of the electric arc in the first section.

6. The method for modeling pantograph-catenary arc in an anchor-section articulated electrical segment according to claim 5, characterized in that, Based on the elevation height of the curved structure relative to the horizontal structure in the first contact line, and the height difference between the horizontal structure of the first contact line and the horizontal line at the same elevation point, the length of the electric arc in the first zone is determined, including: The length of the electric arc in the first zone is determined by the height difference between the horizontal structure of the first contact line and the horizontal line of the equal height point, and the difference in the height of the curved structure in the first contact line relative to the horizontal structure.

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