CN114491928A - Transformer magnetic bias direct current calculation method caused by subway stray current based on complex soil model - Google Patents

Transformer magnetic bias direct current calculation method caused by subway stray current based on complex soil model Download PDF

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CN114491928A
CN114491928A CN202111541564.2A CN202111541564A CN114491928A CN 114491928 A CN114491928 A CN 114491928A CN 202111541564 A CN202111541564 A CN 202111541564A CN 114491928 A CN114491928 A CN 114491928A
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current
soil
subway
transformer
model
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倪砚茹
喻锟
曾祥君
唐雨杭
卓超
程新翔
韩炜
药炜
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Changsha University of Science and Technology
Taiyuan Power Supply Co of State Grid Shanxi Electric Power Co Ltd
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Taiyuan Power Supply Co of State Grid Shanxi Electric Power Co Ltd
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Abstract

The invention discloses a method for calculating transformer magnetic bias direct current caused by subway stray current based on a complex soil model, which comprises the following steps: collecting the position distribution of all transformer substations and subway lines in a research area, and constructing a three-dimensional space coordinate system; collecting soil electrochemical parameters in a research area; calculating the current distribution of the steel rail according to the current position of the train, and obtaining the stray current distribution along the subway by combining the total traction current of the train; constructing a soil model in the COMSOL and setting parameters, wherein the parameters comprise soil electrochemical parameters of each block and stray current distribution along the subway; simulating and calculating the soil potential distribution in the COMSOL to obtain the soil potentials of all transformer substation positions; constructing a power grid direct current model in a research area; and calculating to obtain the magnitude of the bias current of all the substations based on the power grid direct current model and according to the soil potential of the substations. The method can accurately simulate the influence of subway operation on the direct current magnetic bias generated by a nearby transformer substation.

Description

Transformer magnetic bias direct current calculation method caused by subway stray current based on complex soil model
Technical Field
The invention belongs to the technical field of power systems, and particularly relates to a method for calculating bias direct current of a transformer caused by subway stray current based on a complex soil model.
Background
The urban rail transit is convenient, green and fast, and has important significance for citizens going out and urban development. The urban rail transit in China mainly adopts a direct current traction power supply mode, traction current flows back through a steel rail, and a small amount of current leaks to the ground, namely stray current, because the steel rail is difficult to completely insulate against the ground. Stray current flows into the ground, the potential of nearby soil is changed, and the stray current invades an alternating current power grid, so that a direct current magnetic bias phenomenon is generated on a power grid grounding transformer nearby along the track traffic line, and the safe and stable operation of the alternating current power grid and the transformer is damaged.
At present, the existing stray current and transformer direct-current magnetic biasing research basically only considers a single-pole-ground loop operation mode, and the stray current is equivalent to a point current source to be injected into a soil model during simulation research; and the influence research aiming at the stray current generated during the operation of the subway locomotive is very little. Meanwhile, quantitative calculation of soil potential distribution is an important premise for researching direct current magnetic biasing phenomenon, and particularly important for constructing a soil model which is more in line with actual conditions, while the current widely used layered soil model, including a horizontal layered model and a vertical layered model, cannot accurately simulate actual soil conditions, and brings great interference to calculation of direct current magnetic biasing.
Disclosure of Invention
The invention provides a method for calculating transformer magnetic bias direct current caused by subway stray current based on a complex soil model, which is used for accurately calculating the transformer magnetic bias current caused by the stray current when a subway train runs.
In order to achieve the technical purpose, the invention adopts the following technical scheme:
a method for calculating the magnetic bias direct current of a transformer caused by subway stray current based on a complex soil model comprises the following steps:
step 1, collecting position distribution of all transformer substations and subway lines in a research area, and constructing a three-dimensional space coordinate system;
step 2, collecting soil electrochemical parameters in a research area, wherein the soil electrochemical parameters comprise soil resistivity and soil dielectric constant;
step 3, calculating the current distribution of the steel rail according to the current position of the train, and obtaining the stray current distribution along the subway by combining the total traction current of the train;
step 4, constructing a composite layered soil model based on a three-dimensional space coordinate system in COMSOL, and setting parameters: setting soil electrochemical parameters of corresponding areas and stray current distribution along the subway;
step 5, simulating and calculating soil potential distribution in the COMSOL to obtain soil potentials of all transformer substation positions in a research area;
step 6, constructing a power grid direct current model in the research area; and calculating to obtain the magnitude of the bias current of all the transformer substations based on the power grid direct current model and according to the soil potentials of all the transformer substations.
Further, the method for collecting the soil electrochemical parameters in the step 2 comprises the following steps: firstly, the geological characteristics, soil types, soil humidity, and the distribution conditions of rivers and mountains in a research area are known; and secondly, carrying out soil collection and drilling investigation on the research area, and obtaining specific soil electrochemical parameters by adopting a Wennan four-stage method.
Further, when the composite layered soil model is constructed in the step 4, the research area is divided into block areas with different soil electrochemical parameters according to the geological structure characteristics of the research area, and the composite layered soil model is obtained.
Further, the train adopts a double-end power supply operation mode, and the calculation method of the steel rail current and the stray current comprises the following steps:
Figure 100002_DEST_PATH_IMAGE002A
wherein,
Figure 348794DEST_PATH_IMAGE003
represents any position of the subway line;
Figure 52308DEST_PATH_IMAGE004
the current is applied to the steel rail,
Figure 627252DEST_PATH_IMAGE005
is the stray current in units of A;
Figure 365401DEST_PATH_IMAGE006
is the rail voltage in V;
Figure 744430DEST_PATH_IMAGE007
the unit is the longitudinal resistance of the steel rail and is omega/km;
Figure 76185DEST_PATH_IMAGE008
is transition resistance with the unit of omega km;
Figure 566072DEST_PATH_IMAGE009
the unit is the longitudinal resistance of the earth and is omega/km; i is the total traction current of the locomotive and is in A.
Further, the current position of the train is taken as a demarcation point, the subway line in the research area is divided into two sections, then the steel rail current distribution is divided into two sections of functions, and the steel rail current boundary conditions of the two sections of lines are respectively as follows:
Figure 893149DEST_PATH_IMAGE010
in the formula,
Figure 567712DEST_PATH_IMAGE011
representing the current distribution function of the steel rail at any position on the first section of the line,
Figure 245818DEST_PATH_IMAGE012
indicating an arbitrary position on the second section of line
Figure 804976DEST_PATH_IMAGE003
The distribution function of the current of the steel rail, L is the total length of the subway line in the research area,
Figure 127504DEST_PATH_IMAGE013
the length of this first section of line between the train and the origin of the railway line in the area under investigation,
Figure 582756DEST_PATH_IMAGE014
the length of the second route from the train to the end of the railway route in the area under study.
Further, the method for setting the stray current distribution along the subway line in the step 4 comprises the following steps: a piecewise function is defined in COMSOL to analytically simulate the distribution of stray current and is applied in the constructed composite layered soil model in the form of a line current source.
Further, in the power grid dc model constructed in step 6, the resistance network includes: direct current grounding resistance of each transformer substation in research area
Figure 13737DEST_PATH_IMAGE015
Direct current resistance of power transmission line between every two substations
Figure 471526DEST_PATH_IMAGE016
And a transformer DC resistance of each substation
Figure 38773DEST_PATH_IMAGE017
Respectively expressed as:
Figure 664927DEST_PATH_IMAGE019
Figure 724150DEST_PATH_IMAGE021
Figure 15322DEST_PATH_IMAGE023
wherein,
Figure 437077DEST_PATH_IMAGE024
is the dc ground resistance of the ith substation,
Figure 499710DEST_PATH_IMAGE025
is the transmission line dc resistance of the ith and jth substations,
Figure 515071DEST_PATH_IMAGE026
the transformer direct-current resistance of the ith transformer substation, and n is the total number of the transformer substations in the research area.
Compared with the prior art, the invention has the beneficial effects that:
1. the method is combined with the operation of the subway locomotive, track stray current distribution capable of reflecting the change of the position of the locomotive is calculated, and the track stray current is equivalent in a linear current source mode in the COMSOL simulation, so that the soil potentials of all transformer substation positions can be obtained through simulation, the actual situation is met, and the influence of the stray current generated when the subway locomotive operates on surrounding transformer substations can be truly reflected.
2. According to the invention, when the composite layered soil model is constructed, the soil resistivity and the relative dielectric constant of an actual research area are collected, the geological characteristics of the research area are combined, and the constructed composite layered soil model has the advantages of being more accurate and more compounding the actual situation.
Drawings
FIG. 1 is a general block diagram of an embodiment of the present invention.
Fig. 2 is a schematic diagram of distribution of substations and subway lines in a research area.
Fig. 3 is a schematic diagram of soil type distribution.
FIG. 4 is a schematic diagram of a stray current distribution.
Fig. 5 is a schematic diagram of a dc model of a power grid.
FIG. 6 is a COMSOL modeling diagram.
Detailed Description
The following describes embodiments of the present invention in detail, which are developed based on the technical solutions of the present invention, and give detailed implementation manners and specific operation procedures to further explain the technical solutions of the present invention.
The embodiment provides a method for calculating the magnetic bias direct current of a transformer caused by subway stray current based on a complex soil model, which is shown in fig. 1 and comprises the following steps:
step 1, collecting position distribution of all substations and subway lines in a research area, and constructing a three-dimensional space coordinate system by taking one corner of the research area as a coordinate origin.
According to the size of the research area, the size of the model in COMSOL can be determined; according to the position of the subway line, an equivalent line current source is conveniently applied to the corresponding position of the model according to the line position, and a mark point is applied to the position of each transformer substation so as to observe the potential of the transformer substation.
And 2, collecting soil electrochemical parameters in the research area, including soil resistivity and soil dielectric constant.
Firstly, local official geological survey reports or engineering survey reports are consulted to know the geological characteristics, soil types, soil humidity, and the distribution conditions of rivers and mountains in a research area; and secondly, carrying out soil collection and drilling investigation on the research area, and obtaining specific soil electrochemical parameters by adopting a Wennan four-stage method.
And determining a specific layering mode of the soil model according to the geological structure of the research area and the soil electrochemical parameters, and determining the material parameter setting of each layer.
And 3, calculating the current distribution of the steel rail according to the current position of the train, and obtaining the stray current distribution along the subway by combining the total traction current of the train.
The train adopts a double-end power supply operation mode, and the calculation method of the steel rail current and the stray current comprises the following steps:
Figure DEST_PATH_IMAGE002AA
wherein,
Figure 905208DEST_PATH_IMAGE003
represents any position of the subway line;
Figure 56834DEST_PATH_IMAGE004
the current is applied to the steel rail,
Figure 290370DEST_PATH_IMAGE005
is the stray current in units of A;
Figure 652081DEST_PATH_IMAGE006
is the rail voltage in V;
Figure 629264DEST_PATH_IMAGE007
the unit is the longitudinal resistance of the steel rail and is omega/km;
Figure 884665DEST_PATH_IMAGE008
is transition resistance with the unit of omega km;
Figure 289101DEST_PATH_IMAGE009
the unit is the ground longitudinal resistance and is omega/km.
Dividing the subway line in the research area into two sections by taking the current position of the train as a demarcation point, further dividing the steel rail current distribution into two sections of functions, wherein the steel rail current boundary conditions of the two sections of lines are respectively as follows:
Figure 403688DEST_PATH_IMAGE027
in the formula,
Figure 794349DEST_PATH_IMAGE028
indicating any position on the first section of line
Figure 310781DEST_PATH_IMAGE003
The current distribution function of the steel rail at the position,
Figure 886119DEST_PATH_IMAGE029
indicating an arbitrary position on the second section of line
Figure 848521DEST_PATH_IMAGE003
The distribution function of the current of the steel rail, L is the total length of the subway line in the research area,
Figure 167507DEST_PATH_IMAGE013
the length of this first section of line between the train and the origin of the railway line in the area under investigation,
Figure 272866DEST_PATH_IMAGE014
the length of the second section of line from the train to the terminal of the railway line in the research area; and I is the total traction current of the locomotive and has the unit of A.
Step 4, constructing a composite layered soil model based on a three-dimensional space coordinate system in COMSOL, and setting parameters: and setting soil electrochemical parameters of corresponding areas and stray current distribution along the subway.
When a composite layered soil model is constructed, the characteristics of the geological structure of a research area need to be combined. The soil model which is most widely applied at present is a layered soil model, including a horizontal layered model and a vertical layered model. According to the invention, the research area is divided into block areas with different soil electrochemical parameters according to the geological structure characteristics of the research area, so that a composite layered soil model is obtained, and the method is more suitable for actual conditions.
Setting resistivity and relative dielectric constant of all block areas of the composite layered soil model according to the data obtained in the step 2; selecting current module in COMSOL physical field setting, selecting ultra-fining in mesh generation, and defining in parameter setting
Figure 160051DEST_PATH_IMAGE015
、
Figure 718071DEST_PATH_IMAGE016
、
Figure 106327DEST_PATH_IMAGE017
The size of (d); adding a piecewise function in parameter setting to simulate the distribution condition of the stray current, and applying the piecewise function to the corresponding position of the composite layered soil model in a linear current source manner; setting the boundary of the composite layered soil model to be 0 potential to simulate infinite distance; and finishing mesh generation.
And 5, simulating and calculating the soil potential distribution in the COMSOL to obtain the soil potentials of all transformer substation positions in the research area, wherein the soil potentials are expressed as:
Figure 190827DEST_PATH_IMAGE031
wherein,
Figure DEST_PATH_IMAGE032
the soil potential of the ith station in the composite layered soil model is obtained, and n is the total number of the substations in the research area.
Step 6, constructing a power grid direct current model in the research area; and calculating to obtain the magnitude of the bias current of all the substations based on the direct current model of the power grid and according to the soil potentials of all the substation positions.
The invention aims at the problem that in a power grid direct current model constructed among transformers of each transformer substation in a research area, a resistance network comprises: direct current grounding resistance of each transformer substation in research area
Figure 639125DEST_PATH_IMAGE015
Direct current resistance of power transmission line between every two substations
Figure 825387DEST_PATH_IMAGE016
And a transformer DC resistance of each substation
Figure 486176DEST_PATH_IMAGE017
Respectively expressed as:
Figure 300548DEST_PATH_IMAGE033
Figure 566355DEST_PATH_IMAGE034
Figure DEST_PATH_IMAGE035
wherein,
Figure 364546DEST_PATH_IMAGE024
is the dc ground resistance of the ith substation,
Figure 969971DEST_PATH_IMAGE025
is the transmission line dc resistance of the ith and jth substations,
Figure 638850DEST_PATH_IMAGE026
is the transformer dc resistance of the ith substation.
The magnitude of the dc magnetic bias current of all the transformers of the transformer substation can be expressed as follows based on the resistance network in the dc model of the power grid and the soil potential of all the transformers substation:
Figure 163372DEST_PATH_IMAGE036
wherein,
Figure 183281DEST_PATH_IMAGE037
the DC bias of the transformer of the ith substation is represented by the soil potential U and the resistance network of all the substation positions
Figure 576085DEST_PATH_IMAGE015
，
Figure 365049DEST_PATH_IMAGE016
，
Figure 60473DEST_PATH_IMAGE017
Is used as a function of (1).
Example (b):
(1) collecting the position distribution of n transformer substations and subway lines, and constructing a three-dimensional space coordinate system;
fig. 2 is a schematic diagram of a research area, which shows the position distribution of 4 substations and subway lines in a three-dimensional space area of 10km × 10km × 0.5 km:
Figure DEST_PATH_IMAGE038
wherein,
Figure 708623DEST_PATH_IMAGE039
i =1, 2, 3, 4 for the coordinates of the ith station; a and b are coordinates of two end points of the subway line; in the matrix, the first column is an x-axis coordinate, the second column is a y-axis coordinate, and the third column is a z-axis coordinate, and the unit is km.
(2) Collecting soil electrochemical parameters in a research area;
the study area contained 5 different types of soil, whose electrochemical parameters are given in table 1:
Figure DEST_PATH_IMAGE040
a schematic of the 5 types of soil distribution is shown in figure 3.
(3) Calculating stray current distribution along subway line
In this embodiment, the rail longitudinal resistance
Figure 609845DEST_PATH_IMAGE007
The value is 0.026 omega/km, transition resistance
Figure 440267DEST_PATH_IMAGE008
The value is 15 omega km; longitudinal resistance of earth
Figure 398602DEST_PATH_IMAGE009
The value is 0.5 omega/km; the locomotive total traction current I is 2000A.
Length of subway busThe degree is 2000m, the train is located at the position of 800m, and therefore the lengths of the first section of line and the second section of line are respectively
Figure 799628DEST_PATH_IMAGE013
=800m，
Figure 144021DEST_PATH_IMAGE014
=1200m。
From this the stray current distribution on the subway line can be calculated as shown in figure 4.
(4) Constructing a soil model in COMSOL to complete physical field setting, parameter setting and mesh generation;
the actual model constructed in COMSOL is shown in fig. 6, and the resistivity and the relative dielectric constant of the corresponding region are set; adding a piecewise function in parameter setting to simulate the stray current distribution condition obtained in the third step, and applying the stray current distribution condition to a corresponding position of the composite layered soil model in a linear current source manner; setting the boundary of the composite layered soil model to be 0 potential to simulate infinite distance; mesh subdivision is completed, comprising 35688 mesh vertices, 1652 edge cells, 30 vertex cells, and 168854 domain cells.
(5) And (3) simulating and obtaining soil potential distribution in the COMSOL, wherein the soil potentials U of 4 transformer substation positions are as follows:
Figure 563370DEST_PATH_IMAGE041
(6) constructing a power grid direct current model, and according to the magnitude of the bias current of the transformer substation in the soil potential of the transformer substation;
FIG. 5 is a schematic diagram of a DC model of a power grid, in which DC ground resistances of respective sites in a resistance network
Figure 866176DEST_PATH_IMAGE015
Direct current resistance of power transmission line among transformer substations
Figure 223339DEST_PATH_IMAGE016
Transformer DC resistance
Figure 371423DEST_PATH_IMAGE017
The values of these parameters are:
Figure 989486DEST_PATH_IMAGE043
Figure 354871DEST_PATH_IMAGE045
according to
Figure 464909DEST_PATH_IMAGE046
Is calculated to obtain
Figure DEST_PATH_IMAGE047
Wherein, the bias current is larger than 0 and flows into the ground, and the bias current is smaller than 0 and flows into the transformer.
It should be emphasized that the examples described herein are illustrative and not restrictive, and thus the invention is not to be limited to the examples described herein, but rather to other embodiments that may be devised by those skilled in the art based on the teachings herein, and that various modifications, alterations, and substitutions are possible without departing from the spirit and scope of the present invention.

Claims (7)

1. A method for calculating the magnetic bias direct current of a transformer caused by subway stray current based on a complex soil model is characterized by comprising the following steps:
step 1, collecting position distribution of all transformer substations and subway lines in a research area, and constructing a three-dimensional space coordinate system;
step 2, collecting soil electrochemical parameters in a research area, wherein the soil electrochemical parameters comprise soil resistivity and soil dielectric constant;
step 3, calculating the current distribution of the steel rail according to the current position of the train, and obtaining the stray current distribution along the subway by combining the total traction current of the train;
step 4, constructing a composite layered soil model based on a three-dimensional space coordinate system in COMSOL, and setting parameters: setting soil electrochemical parameters of corresponding areas and stray current distribution along the subway;
step 5, simulating and calculating soil potential distribution in the COMSOL to obtain soil potentials of all transformer substation positions in a research area;
step 6, constructing a power grid direct current model in the research area; and calculating to obtain the magnitude of the bias current of all the transformer substations based on the power grid direct current model and according to the soil potentials of all the transformer substations.
2. The method according to claim 1, wherein the method for acquiring the soil electrochemical parameters in the step 2 comprises the following steps: firstly, the geological characteristics, soil types, soil humidity, and the distribution conditions of rivers and mountains in a research area are known; and secondly, carrying out soil collection and drilling investigation on the research area, and obtaining specific soil electrochemical parameters by adopting a Wennan four-stage method.
3. The method according to claim 1, wherein when constructing the composite layered soil model in step 4, the study area is divided into block areas with different soil electrochemical parameters according to the geological structure characteristics of the study area, so as to obtain the composite layered soil model.
4. The method of claim 1, wherein the train operates in a double-ended power supply mode, and the rail current and stray current are calculated as follows:
Figure DEST_PATH_IMAGE002A
wherein,
Figure 618191DEST_PATH_IMAGE003
represents any position of the subway line;
Figure 941856DEST_PATH_IMAGE004
the current is applied to the steel rail,
Figure 675588DEST_PATH_IMAGE005
is the stray current in units of A;
Figure 336376DEST_PATH_IMAGE006
is the rail voltage in V;
Figure 557273DEST_PATH_IMAGE007
the unit is the longitudinal resistance of the steel rail and is omega/km;
Figure 645315DEST_PATH_IMAGE008
is transition resistance with the unit of omega km;
Figure 568141DEST_PATH_IMAGE009
the unit is the longitudinal resistance of the earth and is omega/km; i is the total traction current of the locomotive, and the unit is A; the total traction current I of the locomotive and the longitudinal resistance of the steel rail
Figure 32620DEST_PATH_IMAGE007
Earth longitudinal resistance
Figure 232657DEST_PATH_IMAGE009
The transition resistance is a measurable technical parameter of the existing subway stray current monitoring system, and the steel rail voltage can be calculated by a formula
Figure 366966DEST_PATH_IMAGE010
Current of rail
Figure 337940DEST_PATH_IMAGE004
And stray current
Figure 340531DEST_PATH_IMAGE005
。
5. The method according to claim 1, characterized in that the current position of the train is taken as a demarcation point, the subway line in the research area is divided into two sections, the rail current distribution is further divided into two sections of functions, and the rail current boundary conditions of the two sections of lines are respectively as follows:
Figure 4862DEST_PATH_IMAGE011
in the formula,
Figure 965865DEST_PATH_IMAGE012
indicating any position on the first section of line
Figure 473069DEST_PATH_IMAGE003
The current distribution function of the steel rail at the position,
Figure 138406DEST_PATH_IMAGE013
indicating an arbitrary position on the second section of line
Figure 47456DEST_PATH_IMAGE003
The distribution function of the current of the steel rail, L is the total length of the subway line in the research area,
Figure 648202DEST_PATH_IMAGE014
the length of this first section of line between the train and the origin of the railway line in the area under investigation,
Figure 783648DEST_PATH_IMAGE015
the length of the second route from the train to the end of the railway route in the area under study.
6. The method according to claim 1, wherein the method for setting the stray current distribution along the subway in the step 4 is as follows: a piecewise function is defined in COMSOL to analytically simulate the distribution of stray current and is applied in the constructed composite layered soil model in the form of a line current source.
7. The method according to claim 1, wherein in the grid direct current model constructed in step 6, the resistance network comprises: direct current grounding resistance of each transformer substation in research area
Figure 128042DEST_PATH_IMAGE016
Direct current resistance of power transmission line between every two substations
Figure 891598DEST_PATH_IMAGE017
And a transformer DC resistance of each substation
Figure 820502DEST_PATH_IMAGE018
Respectively expressed as:
Figure DEST_PATH_IMAGE019
Figure 302299DEST_PATH_IMAGE020
Figure DEST_PATH_IMAGE021
wherein,
Figure 122488DEST_PATH_IMAGE022
is the dc ground resistance of the ith substation,
Figure DEST_PATH_IMAGE023
is the transmission line dc resistance of the ith and jth substations,
Figure 130764DEST_PATH_IMAGE024
the transformer direct-current resistance of the ith transformer substation, and n is the total number of the transformer substations in the research area.
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Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN113836718A (en) * 2021-09-23 2021-12-24 中铁第四勘察设计院集团有限公司 Direct-current magnetic bias calculation method for transformer of high-speed magnetic levitation main substation
CN115407113A (en) * 2022-08-24 2022-11-29 西安中车永电电气有限公司 Method for predicting interference degree of stray current on direct current traction line
CN117350102A (en) * 2023-09-20 2024-01-05 国网上海市电力公司 Subway electric power system management method, device, equipment and readable storage medium

Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN113836718A (en) * 2021-09-23 2021-12-24 中铁第四勘察设计院集团有限公司 Direct-current magnetic bias calculation method for transformer of high-speed magnetic levitation main substation
CN113836718B (en) * 2021-09-23 2023-12-29 中铁第四勘察设计院集团有限公司 Direct-current magnetic bias calculation method for high-speed magnetic levitation main transformer substation
CN115407113A (en) * 2022-08-24 2022-11-29 西安中车永电电气有限公司 Method for predicting interference degree of stray current on direct current traction line
CN117350102A (en) * 2023-09-20 2024-01-05 国网上海市电力公司 Subway electric power system management method, device, equipment and readable storage medium

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Application publication date: 20220513