A method for constructing a traction network simulation model based on current distribution characteristics

Abstract

This invention relates to the field of power systems and their automation technology. It provides a method for constructing a traction network simulation model based on current distribution characteristics. The method includes: establishing multi-conductor transmission line equations based on Maxwell's equations, including Gauss's law and Faraday's law; deriving a chain-like network model of the traction network based on the multi-conductor transmission line equations and a chain circuit model with multi-conductor transmission lines as the backbone and randomly connected transverse elements; simplifying the chain-like network model to obtain a simplified series impedance matrix equation and a parallel admittance parameter matrix after conductor merging; and calculating the series impedance and parallel admittance values ​​using the simplified series impedance matrix equation and the parallel admittance parameter matrix after conductor merging. This invention improves the accuracy and applicability of traction network electrical simulation and signal analysis.

Description

Technical Field

[0001] This invention relates to the field of power systems and their automation technology, and in particular to a method for constructing a traction network simulation model based on current distribution characteristics. Background Technology

[0002] The traction power supply system of high-speed electrified railways is the power source for the safe, high-speed, and stable operation of trains. The traction network, as the core component of this system, is responsible for transmitting electrical energy from the traction substation to the high-speed train. Among these components, the contact suspension is the key mechanical-electrical coupling structure in the traction network that directly slides in contact with the pantograph to complete the transfer of electrical energy. The accurate characterization of its electrical characteristics has a decisive impact on the design, simulation, protection settings, and power quality analysis of the entire traction power supply system.

[0003] In the modeling and analysis of traction networks, traditional equivalent impedance models typically simplify the contact suspension to a single conductor. While this simplified modeling approach reduces modeling complexity and computational load, it has significant shortcomings: it only represents the contact suspension from an overall equivalent perspective, failing to reflect the actual electrical characteristics of the internal catenary, droppers, and electrical connection structures. It cannot accurately represent the differences in electrical parameters and coupling relationships between different components, thus significantly impacting the accuracy and applicability of traction network electrical simulation and signal analysis. Consequently, it cannot meet the requirements for refined analysis and engineering applications of high-speed electrified railway traction power supply systems.

[0004] To overcome the aforementioned shortcomings of existing technologies, it is necessary to propose a contact suspension modeling method that can comprehensively consider the electrical characteristics of the catenary, droppers, and electrical connection structure, so as to improve the accuracy and applicability of traction network electrical simulation and signal analysis. Summary of the Invention

[0005] To address the above issues, this invention employs a multi-conductor extended modeling method that comprehensively considers the electrical characteristics of the catenary, droppers, and electrical connection structures, thereby improving the accuracy and applicability of traction network electrical simulation and signal analysis.

[0006] According to an embodiment of the present invention, a method for constructing a traction network simulation model based on current distribution characteristics is provided.

[0007] In a first aspect of the invention, a method for constructing a traction network simulation model based on current distribution characteristics is provided. The method includes: Step S01: Based on Maxwell's equations, including Gauss's law and Faraday's law, establish the multi-conductor transmission line equations; Step S02: Based on the multi-conductor transmission line equation, and combined with the chain circuit model with the multi-conductor transmission line as the main trunk and the transverse elements randomly connected in parallel, derive the traction network chain model. Step S03: Simplify the traction network chain model to obtain the simplified series impedance matrix equation and the parallel admittance parameter matrix after merging the conductors; Step S04: Calculate the series impedance value and the parallel admittance value using the simplified series impedance matrix equation and the parallel admittance parameter matrix after the conductors are combined.

[0008] Furthermore, the multi-conductor transmission line equation described in step S01 is as follows: (1) (2) In the formula, For the first The voltage of the root conductor relative to the reference conductor. For the first The current in the root conductor.

[0009] Furthermore, the aforementioned , , , , In the formula, For the first The self-inductance of a root conductor, For the first Root conductor and the first Mutual inductance of root conductors, For the first The electrical conductance between the root conductor and the reference conductor; For the first Root conductor and the first Mutual conductance within the root conductor; For the first The capacitance between the root conductor and the reference conductor; For the first Root conductor and the first Capacitance between the conductors.

[0010] Furthermore, the traction network chain model described in step S02 is as follows: (5) (6) In the formula, This is an n×1 matrix representing the currents in different conductors of the traction network. This is an n×1 matrix representing the voltages to ground of different conductors in the traction network. This is the n×n order impedance parameter matrix of the multi-conductor transmission line of the traction network; Let be the n×n order admittance parameter matrix of the traction network multi-conductor transmission line.

[0011] Furthermore, the simplified series impedance matrix equation described in step S03 for: (17) The simplified parallel admittance parameter matrix after wire merging for: (twenty one) In the formula, C, J, R, F, and PW represent the traction network catenary, contact wire, rail, positive feeder, and protective wire, respectively.

[0012] Furthermore, the formula for calculating the series impedance value mentioned in step S04 is as follows: (twenty two) In the formula, , The resistance between the conductor and the ground; The equivalent radius of the conductor; The geometric distance between the two conductors; The frequency is the current frequency. , For the self-impedance and mutual impedance of the conductor.

[0013] 7. The method for constructing a traction network simulation model based on current distribution characteristics according to claim 1, characterized in that the formula for calculating the parallel admittance value in step S04 is: (twenty three) In the formula, The dielectric constant of air is 8.854 × 10⁻⁶. -9 F / km; For wires , Mirror distance between; For wires , Spatial distance between; For wires The equivalent radius; For wires The height above the ground.

[0014] In a second aspect of the invention, an apparatus for constructing a traction network simulation model based on current distribution characteristics is provided. The apparatus includes: Transmission line equation establishment module: used to establish multi-conductor transmission line equations based on Maxwell's equations, including Gauss's law and Faraday's law; Network model derivation module: used to derive the traction network chain model based on the multi-conductor transmission line equation and the chain circuit model with the multi-conductor transmission line as the backbone and the transverse elements randomly connected in parallel; Network model simplification module: used to simplify the traction network chain model to obtain the simplified series impedance matrix equation and the parallel admittance parameter matrix after conductor merging; Numerical calculation module: Used to calculate the series impedance value and the parallel admittance value using the simplified series impedance matrix equation and the parallel admittance parameter matrix after the conductors are combined.

[0015] In a third aspect of the invention, an electronic device is provided. The electronic device includes a memory and a processor, the memory storing a computer program, the processor executing the program to implement the method according to a first aspect of the invention.

[0016] In a fourth aspect of the invention, a computer-readable storage medium is provided having a computer program stored thereon, which, when executed by a processor, implements the method according to a first aspect of the invention.

[0017] This invention improves the accuracy and applicability of traction network electrical simulation and signal analysis by using a multi-conductor extended modeling method that comprehensively considers the electrical characteristics of the catenary, droppers, and electrical connection structures.

[0018] It should be understood that the description in the Summary of the Invention is not intended to limit the key or essential features of the embodiments of the present invention, nor is it intended to restrict the scope of the invention. Other features of the invention will become readily apparent from the following description.

[0019] The beneficial effects of this invention are: 1. Compared with the traditional modeling method that simplifies contact suspension to a single conductor, this invention takes into account factors such as catenary, droppers, and electrical connections, which can more realistically reflect the actual electrical characteristics of contact suspension; 2. This invention establishes a model based on the theory of multi-conductor transmission lines, which can more realistically reflect the electromagnetic coupling relationship of the traction network and provide a basis for related fault detection and location; 3. This invention makes reasonable equivalent simplifications to complex traction networks, such as merging conductors like rails, which reduces the difficulty of modeling and calculation while retaining key electrical features. In addition, this invention establishes a model for the fully parallel AT power supply method commonly used in my country's high-speed railways, which is closer to the actual engineering scenario. Attached Figure Description

[0020] The above and other features, advantages, and aspects of the various embodiments of the present invention will become more apparent from the accompanying drawings and the following detailed description. Wherein: Figure 1A flowchart illustrating a method for constructing a traction network simulation model based on current distribution characteristics according to an embodiment of the present invention is shown. Figure 2 A diagram of a traction net chain according to an embodiment of the present invention is shown; Figure 3 A cross-sectional view of the traction net according to an embodiment of the present invention is shown; Figure 4 A schematic diagram of an equivalent model of a "single conductor-to-ground" loop according to an embodiment of the present invention is shown; Figure 5 A schematic diagram of an equivalent model of a "two-wire-to-ground" loop according to an embodiment of the present invention is shown; Figure 6 A schematic diagram of a wire and its mirror image according to an embodiment of the present invention is shown. Figure 7 A schematic diagram of the equivalent impedance model according to an embodiment of the present invention is shown; Figure 8 A schematic diagram of the modeling of the coupling method between traction network conductors according to an embodiment of the present invention is shown; Figure 9 A block diagram of a device for constructing a traction network simulation model based on current distribution characteristics according to an embodiment of the present invention is shown; Figure 10 A schematic diagram of a device for constructing a traction network simulation model based on current distribution characteristics according to an embodiment of the present invention is shown. Detailed Implementation

[0021] To make the objectives, technical solutions, and advantages of the embodiments of the present invention clearer, 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.

[0022] According to an embodiment of the present invention, a method for constructing a traction network simulation model based on current distribution characteristics is proposed. By comprehensively considering the electrical characteristics of the catenary, droppers, and electrical connection structures through a multi-conductor extended modeling method, the accuracy and applicability of traction network electrical simulation and signal analysis are improved.

[0023] The principles and spirit of the present invention will be explained in detail below with reference to several representative embodiments.

[0024] Figure 1 This is a schematic flowchart illustrating a method for constructing a traction network simulation model based on current distribution characteristics, according to an embodiment of the present invention. The method includes: Step S01: Based on Maxwell's equations, including Gauss's law and Faraday's law, establish the multi-conductor transmission line equations; Step S02: Based on the multi-conductor transmission line equation, and combined with the chain circuit model with the multi-conductor transmission line as the main trunk and the transverse elements randomly connected in parallel, derive the traction network chain model. Step S03: Simplify the traction network chain model to obtain the simplified series impedance matrix equation and the parallel admittance parameter matrix after merging the conductors; Step S04: Calculate the series impedance value and the parallel admittance value using the simplified series impedance matrix equation and the parallel admittance parameter matrix after the conductors are combined.

[0025] It should be noted that although the operation of the method of the present invention has been described in a specific order in the above embodiments and figures, this does not require or imply that the operations must be performed in that specific order, or that all the operations shown must be performed to achieve the desired result. Additionally or alternatively, certain steps may be omitted, multiple steps may be combined into one step, and / or one step may be broken down into multiple steps.

[0026] To provide a clearer explanation of the method for constructing a traction network simulation model based on current distribution characteristics, a specific embodiment will be used for illustration below. However, it is worth noting that this embodiment is only for better illustrating the present invention and does not constitute an improper limitation of the present invention.

[0027] The following example will further illustrate the method for constructing a traction network simulation model based on current distribution characteristics.

[0028] The traction network is the power transmission channel connecting the traction substation and the electric traction unit, and is a core component of the high-speed railway traction power supply system. In my country's high-speed railway lines, a fully parallel AT (automatic transmission) power supply method is commonly used as the traction network power supply mode. Therefore, the impedance model established in this invention is specifically for the fully parallel AT traction network structure.

[0029] Step S01: Based on Maxwell's equations, including Gauss's law and Faraday's law, establish the multi-conductor transmission line equations.

[0030] The multi-conductor transmission line theory is based on Maxwell's equations, including Gauss's law, Faraday's law, and four fundamental electromagnetic equations. Since the conductors in the traction network (such as contact wires and catenary wires) are arranged in parallel and have uniform cross-sections, they meet the modeling conditions for multi-conductor transmission lines. Therefore, this theory can be used to describe the voltage, current, and electromagnetic coupling relationships between conductors.

[0031] Assume the system consists of root edge It consists of conductors arranged in parallel axes, one of which is a reference conductor, and the rest... The voltage across each conductor is referenced to the reference conductor. Let the voltage across the first conductor be... The resistance per unit length of the root conductor and the reference conductor are respectively and .

[0032] According to Faraday's law, the... The electric field around the root conductor is related to the change in magnetic flux within the region enclosed by it and the reference conductor. This magnetic flux is generated by and linearly superimposed by the currents in all conductors. Combining the effect of resistance, a mathematical relationship between conductor current and voltage can be established: (1) In the formula: , , For the first The voltage of the root conductor relative to the reference conductor. For the first Current in the root conductor For the first The self-inductance of a root conductor, For the first Root conductor and the first Mutual inductance of root conductors.

[0033] According to the principle of charge conservation, the first The current in a root conductor is related to the current density distribution within the closed surface it encloses. In a multi-conductor system, there is lateral coupling between the conductors, manifested as conduction current and displacement current, which are determined by the conductance matrix, respectively. and capacitance matrix Describe and establish the equations relating current and voltage between conductors: (2) In the formula: , , For the first The electrical conductance between the root conductor and the reference conductor; For the first Root conductor and the first Mutual conductance within the root conductor; For the first The capacitance between the root conductor and the reference conductor; For the first Root conductor and the first Capacitance between the conductors.

[0034] Formulas (1) and (2) are the two equations for a multi-conductor transmission line (MTL).

[0035] Step S02: Based on the multi-conductor transmission line equation, and combined with the chain circuit model with the multi-conductor transmission line as the main trunk and the transverse elements randomly connected in parallel, derive the traction network chain model.

[0036] The parallel conductors in the high-speed railway traction network conform to the multi-conductor transmission line model. However, due to the access of equipment such as autotransformers, electric locomotives, and cross-connectors, current branches will be formed at different locations, dividing the traction network into multiple uniform sub-networks, forming a chain circuit model with multi-conductor transmission lines as the backbone and cross-connectors randomly connected in parallel.

[0037] This chain circuit model consists of longitudinal multi-conductor transmission lines ( ~ ) and horizontal parallel elements ( ~ Composed of ) and injected current source ( ~ Used to simulate locomotive load, such as Figure 2 As shown. Assume the traction net includes... With the ground as the reference conductor, if the influence of distributed parameters is ignored, each segment of the transmission line can be equivalent to a π-type circuit.

[0038] The relationships between voltage, current, electric field, and magnetic field between each conductor and the ground are derived based on the equations of a multi-conductor transmission line: (3) (4) In the formula, For the first The voltage of the conductor relative to the ground, For the first Current in the root conductor For the first The self-impedance of the circuit formed by the root conductor and the ground. For the first The mutual impedance between the nth conductor and the nth conductor. For the first Self-admittance of a root conductor For the first The mutual admittance between the root conductor and the nth root conductor.

[0039] Specifically, equations (3) and (4) can be simplified as follows: (5) (6) In the formula, This is the n×n order impedance parameter matrix of the multi-conductor transmission line of the traction network; Let be the n×n order admittance parameter matrix of the traction network multi-conductor transmission line.

[0040] Step S03: Simplify the traction network chain model to obtain the simplified series impedance matrix equation and the parallel admittance parameter matrix after merging the conductors.

[0041] The traction network in a fully parallel AT power supply mode contains many parallel conductors and has a complex structure, such as... Figure 3 As shown, if all aspects are taken into account in the modeling and calculation, the computational difficulty will be significantly increased. Therefore, the model needs to be appropriately simplified.

[0042] Taking a traction network with a single-line AT power supply as an example, its suspension structure includes 6 conductors: C, J, R A R B F and PW. According to the "Calculation of Overvoltage in Power Systems", let the conductors to be merged and simplified be F and PW respectively. To simplify the process into a single conductor... K Each conductor must simultaneously meet the following conditions: 1. Flowing through K The current is equal to the current flowing through The sum of currents: (7); 2. Voltage drop per unit length is equal: (8); 3. The charge in conductor K is equal to The total charge in: (9); 4. The voltage to ground is equal: (10).

[0043] Therefore, when simplifying the traction network model, the four rails for both directions are equivalently merged into two conductors. This forms a 5-conductor traction network model including C, J, R, F, and PW.

[0044] 1. The series impedance matrix after merging the conductors into equal values.

[0045] The simplified equation for the series impedance matrix of the front conductor is: (11) Rewritten as a vector matrix equation: (12) Transforming equation (12) yields: (13) In the formula: , Then equation (13) is: (14) Simplifying equation (14) based on (7)~(10) yields: (15) Equation (15) can be written as a vector matrix equation as follows: (16) According to equation (16), the simplified series impedance matrix equation is... for: (17) 2. The parallel admittance matrix after merging the equivalent values ​​of the conductors.

[0046] The simplified equation for the parallel capacitor matrix of the front conductor is: (18) Simplifying equation (18) based on (7)~(10) yields: (19) Equation (19) can be written as a vector matrix equation as follows: (20) The parallel admittance matrix after the wires are combined for: (twenty one) In the formula, The capacitance between the catenary and the contact wire. The capacitance between the catenary cable and rail A. The capacitance between the catenary cable and rail B. This refers to the capacitance between the catenary and the positive feeder. The capacitance between the catenary and the protective conductor. The capacitance between the catenary and the contact wire. The capacitance between the contact wire and rail A. This refers to the capacitance between the contact wire and rail B. This refers to the capacitance between the contact wire and the positive feed line. The capacitance between the contact wire and the protective wire. The capacitance between the catenary cable and rail A. The capacitance between the catenary cable and rail B. The capacitance between the contact wire and rail A. This refers to the capacitance between the contact wire and rail B. This refers to the capacitance between rail A and ground. This refers to the capacitance between rail B and ground. This refers to the capacitance between rail A and the positive feeder. This refers to the capacitance between rail B and the positive feeder. The capacitance between rail A and the protective wire. The capacitance between rail B and the protective conductor. This refers to the capacitance between the positive feeder and the catenary. This refers to the capacitance between the positive feed line and the contact line. This refers to the capacitance between rail A and the positive feeder. This refers to the capacitance between rail B and the positive feeder. This is the capacitance between the positive feed line and the protection line. The capacitance between the catenary and the protective conductor. The capacitance between the contact wire and the protective wire. The capacitance between rail A and the protective wire. The capacitance between rail B and the protective conductor. This is the capacitance between the positive feed line and the protection line.

[0047] Step S04: Calculate the series impedance value and the parallel admittance value using the simplified series impedance matrix equation and the parallel admittance parameter matrix after the conductors are combined.

[0048] The electrical parameters of the traction network (series impedance and parallel admittance) are a crucial foundation for electrified railways and directly affect the accuracy of mathematical models. These parameters play a key role in verifying power supply voltage levels, calculating voltage losses, and developing and setting relay protection schemes. Furthermore, the accurate electrical parameters are essential for traction network harmonic analysis and electromagnetic transient simulation.

[0049] 1. Impedance Calculation: The autotransformer (AT) traction network consists of C-line, J-line, F-line, R-line, and PW-line. The self-impedance to ground of a single overhead conductor and the mutual impedance between two conductors can be calculated using Carson's theory. Figure 4 and Figure 5 The Carson equivalent models for single-conductor and double-conductor circuits are shown. The self-impedance, mutual impedance, and other parameters shown in the figure are calculated according to formula (22): (twenty two) In the formula, , The resistance of the conductor and the ground (Ω / km); The equivalent radius of the conductor (cm); Let be the geometric distance (m) between the two conductors; The frequency of the current (Hz); , The impedance is the self-impedance of the conductor, and the mutual impedance is (Ω / km).

[0050] In addition, for ease of calculation, the contact suspension is simplified to a certain extent: since the droppers are arranged perpendicular to the contact wire and the catenary, the mutual inductance between the droppers and the other conductors in the contact suspension is ignored; compared with the contact wire, the length of the droppers is much shorter, so the mutual inductance between the droppers is ignored.

[0051] 2. Admittance Calculation: Assume the conductor... , Position in space, such as Figure 6 As shown, based on relevant content of power system analysis, the conductor can be obtained. i self-potential coefficient and the mutual potential coefficient between the two conductors. They are respectively: (twenty three) In the formula, The dielectric constant of air is 8.854 × 10⁻⁶. -9 (F / km); For wires , The mirror distance (m) between them; For wires , Spatial distance between (m); For wires The equivalent radius (cm); For wires Height above the ground (m).

[0052] This example uses the current distribution data of the contact network of the Chengdu-Chongqing Central Line high-speed railway (Hanba-Nan section) as an example. Based on the conductor parameters in Table 1, the specific impedance and admittance parameters are calculated. A traction network model considering the current distribution characteristics of the high-speed railway contact suspension is built using Simulink, as shown below. Figure 7 , Figure 8 As shown.

[0053] Table 1

[0054] To verify the effectiveness of the model, measured current distribution data of the traction network of the Hanba-Nan High-Speed ​​Railway were used as a reference, and the simulation results were compared and analyzed with the measured data. As shown in Table 2, the results show that the current variation trend of the simulation model is basically consistent with the measured results, with the deviation controlled within 10%. Furthermore, the larger the current value, the more reliable the overall contact suspension model, verifying the model's rationality. Deviations exceeding 10% mainly occur under low-current conditions. Due to the inherent tolerance of ±0.5A in the measuring equipment itself, the larger the actual current, the smaller the relative measurement error. Therefore, the influence of these deviations can be considered negligible.

[0055] Table 2

[0056] Based on the same inventive concept, this invention also proposes a device for constructing a traction network simulation model based on current distribution characteristics. The implementation of this device can be found in the implementation of the method described above; repeated details will not be elaborated further. Figure 9 As shown, the device 100 includes: Transmission line equation establishment module 101: used to establish multi-conductor transmission line equations based on Maxwell's equations, including Gauss's law and Faraday's law; Network model derivation module 102: used to derive the traction network chain model based on the multi-conductor transmission line equation and the chain circuit model with the multi-conductor transmission line as the backbone and the transverse elements randomly connected in parallel. Network model simplification module 103: used to simplify the traction network chain network model to obtain the simplified series impedance matrix equation and the parallel admittance parameter matrix after the conductors are combined; Numerical calculation module 104: used to calculate the series impedance value and the parallel admittance value using the simplified series impedance matrix equation and the parallel admittance parameter matrix after the conductors are combined.

[0057] Those skilled in the art will clearly understand that, for the sake of convenience and brevity, the specific working process of the described module can be referred to the corresponding process in the foregoing method embodiments, and will not be repeated here.

[0058] like Figure 10 As shown, the device includes a central processing unit (CPU), which can perform various appropriate actions and processes based on computer program instructions stored in read-only memory (ROM) or loaded from storage units into random access memory (RAM). The RAM can also store various programs and data required for device operation. The CPU, ROM, and RAM are interconnected via a bus. Input / output (I / O) interfaces are also connected to the bus.

[0059] Multiple components in the device are connected to the I / O interface, including: input units such as keyboards and mice; output units such as various types of displays and speakers; storage units such as disks and optical discs; and communication units such as network interface cards (NICs), modems, and wireless transceivers. The communication unit allows the device to exchange information / data with other devices through computer networks such as the Internet and / or various telecommunications networks.

[0060] The processing unit executes the various methods and processes described above, such as method steps S01 to S04. For example, in some embodiments, method steps S01 to S04 may be implemented as a computer software program tangibly contained in a machine-readable medium, such as a storage unit. In some embodiments, part or all of the computer program may be loaded and / or installed on the device via ROM and / or a communication unit. When the computer program is loaded into RAM and executed by the CPU, one or more steps of method steps S01 to S04 described above may be performed. Alternatively, in other embodiments, the CPU may be configured to execute method steps S01 to S04 by any other suitable means (e.g., by means of firmware).

[0061] The functions described above in this document can be performed at least in part by one or more hardware logic components. For example, exemplary types of hardware logic components that can be used, without limitation, include: field programmable gate arrays (FPGAs), application-specific integrated circuits (ASICs), application-specific standard products (ASSPs), systems-on-a-chip (SoCs), payload programmable logic devices (CPLDs), and so on.

[0062] The program code used to implement the methods of the present invention can be written in any combination of one or more programming languages. This program code can be provided to a processor or controller of a general-purpose computer, special-purpose computer, or other programmable data processing device, such that when executed by the processor or controller, the program code causes the functions / operations specified in the flowcharts and / or block diagrams to be implemented. The program code can be executed entirely on the machine, partially on the machine, as a standalone software package partially on the machine and partially on a remote machine, or entirely on a remote machine or server.

[0063] In the context of this invention, a machine-readable medium can be a tangible medium that may contain or store a program for use by or in conjunction with an instruction execution system, apparatus, or device. A machine-readable medium can be a machine-readable signal medium or a machine-readable storage medium. Machine-readable media can include, but are not limited to, electronic, magnetic, optical, electromagnetic, infrared, or semiconductor systems, apparatus, or devices, or any suitable combination of the foregoing. More specific examples of machine-readable storage media include electrical connections based on one or more wires, portable computer disks, hard disks, random access memory (RAM), read-only memory (ROM), erasable programmable read-only memory (EPROM or flash memory), optical fibers, portable compact disk read-only memory (CD-ROM), optical storage devices, magnetic storage devices, or any suitable combination of the foregoing.

[0064] Furthermore, although the operations are described in a specific order, this should be understood as requiring that such operations be performed in the specific order shown or in sequential order, or requiring that all illustrated operations be performed to achieve the desired result. In certain environments, multitasking and parallel processing may be advantageous. Similarly, although several specific implementation details are included in the above discussion, these should not be construed as limiting the scope of the invention. Certain features described in the context of individual embodiments may also be implemented in combination in a single implementation. Conversely, various features described in the context of a single implementation may also be implemented individually or in any suitable sub-combination in multiple implementations.

[0065] Although the subject matter has been described using language specific to structural features and / or methodological logic, it should be understood that the subject matter defined in the appended claims is not necessarily limited to the specific features or actions described above. Rather, the specific features and actions described above are merely illustrative examples of implementing the claims.

Claims

1. A method for constructing a traction network simulation model based on current distribution characteristics, characterized in that, The method includes: Step S01: Based on Maxwell's equations, including Gauss's law and Faraday's law, establish the multi-conductor transmission line equations; Step S02: Based on the multi-conductor transmission line equation, and combined with the chain circuit model with the multi-conductor transmission line as the main trunk and the transverse elements randomly connected in parallel, derive the traction network chain model. Step S03: Simplify the traction network chain model to obtain the simplified series impedance matrix equation and the parallel admittance parameter matrix after merging the conductors; Step S04: Calculate the series impedance value and the parallel admittance value using the simplified series impedance matrix equation and the parallel admittance parameter matrix after the conductors are combined.

2. The method for constructing a traction network simulation model based on current distribution characteristics according to claim 1, characterized in that, The multi-conductor transmission line equation mentioned in step S01 is as follows: (1) (2) In the formula, For the first The voltage of the root conductor relative to the reference conductor. For the first The current in the root conductor.

3. The method for constructing a traction network simulation model based on current distribution characteristics according to claim 2, characterized in that, The aforementioned , ， ， ， In the formula, For the first The self-inductance of a conductor, For the first Root conductor and the first Mutual inductance of root conductors, For the first The electrical conductance between the root conductor and the reference conductor; For the first Root conductor and the first Mutual conductance within the root conductor; For the first The capacitance between the root conductor and the reference conductor; For the first Root conductor and the first Capacitance between the conductors.

4. The method for constructing a traction network simulation model based on current distribution characteristics according to claim 1, characterized in that, The traction network chain model mentioned in step S02 is as follows: (5) (6) In the formula, This is an n×1 matrix representing the currents in different conductors of the traction network. This is an n×1 matrix representing the voltages to ground of different conductors in the traction network. This is the n×n order impedance parameter matrix of the multi-conductor transmission line of the traction network; Let be the n×n order admittance parameter matrix of the traction network multi-conductor transmission line.

5. The method for constructing a traction network simulation model based on current distribution characteristics according to claim 1, characterized in that, The simplified series impedance matrix equation described in step S03 for: (17) The simplified parallel admittance parameter matrix after wire merging for: (21) In the formula, C, J, R, F, and PW represent the traction network catenary, contact wire, rail, positive feeder, and protective wire, respectively.

6. The method for constructing a traction network simulation model based on current distribution characteristics according to claim 1, characterized in that, The formula for calculating the series impedance value mentioned in step S04 is as follows: (22) In the formula, , The resistance between the conductor and the ground; The equivalent radius of the conductor; The geometric distance between the two conductors; The frequency is the current frequency. , For the self-impedance and mutual impedance of the conductor.

7. The method for constructing a traction network simulation model based on current distribution characteristics according to claim 1, characterized in that, The formula for calculating the parallel admittance value described in step S04 is as follows: (23) In the formula, The dielectric constant of air is 8.854 × 10⁻⁶. -9 F / km; For wires , Mirror distance between; For wires , Spatial distance between; For wires The equivalent radius; For wires The height above the ground.

8. A device for constructing a traction network simulation model based on current distribution characteristics, characterized in that, The device implements the method as described in any one of claims 1 to 7, comprising: Transmission line equation establishment module: used to establish multi-conductor transmission line equations based on Maxwell's equations, including Gauss's law and Faraday's law; Network model derivation module: used to derive the traction network chain model based on the multi-conductor transmission line equation and the chain circuit model with the multi-conductor transmission line as the backbone and the transverse elements randomly connected in parallel; Network model simplification module: used to simplify the traction network chain model to obtain the simplified series impedance matrix equation and the parallel admittance parameter matrix after conductor merging; Numerical calculation module: Used to calculate the series impedance value and the parallel admittance value using the simplified series impedance matrix equation and the parallel admittance parameter matrix after the conductors are combined.

9. An electronic device comprising a memory and a processor, wherein the memory stores a computer program, characterized in that, When the processor executes the program, it implements the method as described in any one of claims 1 to 7.

10. 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 method as described in any one of claims 1 to 7.

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