CN115099181A - Urban rail subway transient state conduction EMI modeling method and circuit model - Google Patents

Urban rail subway transient state conduction EMI modeling method and circuit model Download PDF

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CN115099181A
CN115099181A CN202210879622.0A CN202210879622A CN115099181A CN 115099181 A CN115099181 A CN 115099181A CN 202210879622 A CN202210879622 A CN 202210879622A CN 115099181 A CN115099181 A CN 115099181A
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impedance
oscillation
contactor
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CN115099181B (en
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林珊
农兴中
周再玲
姬军鹏
王亚平
刘增华
王力
李海红
李飞
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Shaanxi Cirongchuang Electronic And Electrical Co ltd
Xian University of Technology
Guangzhou Metro Design and Research Institute Co Ltd
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Shaanxi Cirongchuang Electronic And Electrical Co ltd
Xian University of Technology
Guangzhou Metro Design and Research Institute Co Ltd
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Abstract

The invention provides an urban rail subway transient state conducted EMI modeling method, which comprises the steps of S1, constructing a power supply circuit schematic diagram of an urban rail subway operation process; s2, establishing an urban rail subway transient state conducted EMI model according to a power supply circuit schematic diagram in the urban rail subway operation process; step S3, respectively establishing four equivalent circuits with a traction substation, a brake priority system, a high-speed circuit breaker and a contactor as interference sources according to the transient state conducted EMI model diagram of the urban railway; by establishing the urban rail subway transient state conducted EMI modeling method and circuit model, the transient state conducted EMI characteristics of the urban rail subway can be accurately described by identifying the transient state interference source and modeling the conducted EMI interference loop, a research basis is provided for the research of the urban rail subway transient state conducted EMI, a theoretical basis can be better provided for the research of eliminating the rail subway transient state electromagnetic interference, and a research means is provided for the rail subway transient state conducted EMI problem.

Description

Urban rail subway transient state conduction EMI modeling method and circuit model
Technical Field
The invention belongs to the technical field of electromagnetic compatibility of urban railway subways, and particularly relates to an urban railway subway transient state conduction EMI modeling method and a circuit model.
Background
In recent years, with the rapid development of electrified railways, the conducted electromagnetic interference (EMI) of urban railways and subways is more and more serious, and certain influence is exerted on the safe operation of the subways. The conducted electromagnetic interference of the electromagnetic interference sensor not only has steady electromagnetic interference, but also has transient electromagnetic interference. The traditional EMI modeling technology lacks a transient EMI interference source model, lacks transient EMI impedance, and even does not specially aim at calculation and analysis of an urban rail subway transient conduction EMI circuit model, so that transient EMI of an urban rail subway cannot be described at all, lacks a research foundation, cannot analyze and predict transient conduction EMI interference of rail transit at present, and urgently needs to establish the urban rail subway transient conduction EMI circuit model aiming at the current situation.
Disclosure of Invention
Based on the problems in the background art, the invention provides a transient state conducted EMI modeling method and a circuit model of an urban rail subway, which specifically comprise the following steps:
an urban rail subway transient state conduction EMI modeling method comprises the following steps:
s1, constructing a power supply circuit schematic diagram of the urban railway operation process;
step S2, establishing an urban rail subway transient state conducted EMI model according to the power supply circuit schematic diagram in the urban rail subway operation process, specifically:
determining an equivalent voltage source of a traction substation;
determining the equivalent impedance of a traction substation;
determining an equivalent voltage source of the high-speed circuit breaker;
determining the impedance of the lightning protection ground;
determining the equivalent impedance of the contact network;
determining an equivalent voltage source of a brake priority system;
determining high-frequency equivalent impedance of the current transformer;
determining an equivalent voltage source of the contactor;
determining the high-frequency equivalent impedance of the line reactor;
determining high-frequency equivalent impedance in a traction system;
determining the impedance of the rail;
step S3, respectively establishing four equivalent circuits with a traction substation, a brake priority system, a high-speed circuit breaker and a contactor as interference sources according to the transient state conducted EMI model diagram of the urban railway;
further, the power supply circuit principle in step S1 is specifically:
the method comprises the steps of connecting a traction substation with a contact network, enabling power supply to reach a pantograph and further connecting a brake priority system, using a current transformer, a high-speed circuit breaker and a contactor to detect current in a loop so as to select corresponding protective measures, sequentially communicating a line reactor, a traction system and a three-phase motor, and flowing back to the traction substation through a rail.
Further, in step S2, the equivalent voltage source of the traction substation is set to the maximum value
Figure 529797DEST_PATH_IMAGE001
Determined by the following equation:
Figure 181358DEST_PATH_IMAGE002
；
wherein:
Figure 383931DEST_PATH_IMAGE003
is the voltage value of the rectified output of the traction substation,
Figure 513561DEST_PATH_IMAGE004
the number of pulses of the rectified output voltage of the traction substation,
Figure 514884DEST_PATH_IMAGE005
the fundamental frequency is taken as 50Hz,
Figure 9451DEST_PATH_IMAGE006
is an integer, k is taken
Figure 745326DEST_PATH_IMAGE007
，
Figure 163800DEST_PATH_IMAGE008
，...，
Figure 301520DEST_PATH_IMAGE009
T is time;
in step S2, the equivalent voltage source of the high-speed circuit breaker
Figure 763725DEST_PATH_IMAGE010
The determination steps are as follows:
first, the turn-off voltage of the high-speed circuit breaker is determined
Figure 252476DEST_PATH_IMAGE011
：
Figure 910859DEST_PATH_IMAGE012
；
Wherein the content of the first and second substances,
Figure 168665DEST_PATH_IMAGE013
for the moment when the voltage starts to oscillate after the high-speed circuit breaker is switched off,
Figure 67351DEST_PATH_IMAGE014
what is shown is a step function of the signal,
Figure 743531DEST_PATH_IMAGE015
showing the amplitude of the overvoltage generated by the first oscillation after the high-speed circuit breaker is switched off,
Figure 753076DEST_PATH_IMAGE016
representing the angular frequency of oscillation at which the oscillation is switched off,
Figure 865388DEST_PATH_IMAGE017
indicating the damping coefficient at the time of off oscillation,
Figure 918664DEST_PATH_IMAGE018
indicating the moment at which the jth turn-off oscillation ends,
Figure 319689DEST_PATH_IMAGE019
represents the number of off oscillations;
then, determining the opening voltage of the high-speed circuit breaker
Figure 132924DEST_PATH_IMAGE020
：
Figure 53738DEST_PATH_IMAGE021
；
Wherein:
Figure 294227DEST_PATH_IMAGE022
the moment when the high-speed circuit breaker starts to oscillate after being opened,
Figure 431816DEST_PATH_IMAGE023
representing step functions
Figure 48742DEST_PATH_IMAGE024
Indicating a high-speed outageThe overvoltage amplitude value generated by the first oscillation after the circuit breaker is opened,
Figure 870067DEST_PATH_IMAGE025
indicating the oscillation frequency at which the oscillation is switched on,
Figure 235452DEST_PATH_IMAGE026
indicating the damping coefficient when the oscillation is switched on,
Figure 142228DEST_PATH_IMAGE027
is shown as
Figure 31687DEST_PATH_IMAGE028
The moment when the second-time on oscillation is finished,
Figure 238677DEST_PATH_IMAGE029
representing the number of times the oscillation is switched on;
finally, the equivalent voltage source of the high-speed circuit breaker
Figure 273498DEST_PATH_IMAGE030
；
In step S2, the equivalent voltage source of the brake priority system
Figure 933149DEST_PATH_IMAGE031
The determination steps are as follows:
first, the turn-off voltage of the brake override system is determined
Figure 580294DEST_PATH_IMAGE032
：
Figure 110632DEST_PATH_IMAGE033
；
Wherein the content of the first and second substances,
Figure 129404DEST_PATH_IMAGE034
to determine the time when the voltage begins to oscillate after the brake override system is turned off,
Figure 10772DEST_PATH_IMAGE035
it is shown that it is a step function,
Figure 960142DEST_PATH_IMAGE036
the amplitude of the overvoltage generated by the first oscillation after the brake priority system is turned off is shown,
Figure 610567DEST_PATH_IMAGE037
representing the angular frequency of oscillation at which the oscillation is switched off,
Figure 269081DEST_PATH_IMAGE038
indicating the damping coefficient at the time of off oscillation,
Figure 857319DEST_PATH_IMAGE039
indicating the moment at which the jth turn-off oscillation ended,
Figure 157851DEST_PATH_IMAGE040
represents the number of off oscillations;
then, the opening voltage of the brake priority system is determined
Figure 928361DEST_PATH_IMAGE041
：
Figure 475886DEST_PATH_IMAGE042
；
Wherein the content of the first and second substances,
Figure 535108DEST_PATH_IMAGE043
at the moment when the brake priority system starts to oscillate after being switched on,
Figure 124484DEST_PATH_IMAGE035
what is shown is a step function of the signal,
Figure 749500DEST_PATH_IMAGE044
the overvoltage amplitude value generated by the first oscillation after the brake priority system is switched on is shown,
Figure 218659DEST_PATH_IMAGE045
indicating the frequency of oscillation at which the oscillation is switched on,
Figure 545604DEST_PATH_IMAGE046
indicating the damping coefficient when the oscillation is switched on,
Figure 453517DEST_PATH_IMAGE047
is shown as
Figure 136302DEST_PATH_IMAGE048
The moment when the second-time on oscillation is finished,
Figure 589411DEST_PATH_IMAGE049
representing the number of times the oscillation is switched on;
finally, the equivalent voltage source of the brake priority system
Figure 357647DEST_PATH_IMAGE050
；
In step S2, determining an equivalent voltage source of the contactor
Figure 803672DEST_PATH_IMAGE051
The determination steps are as follows:
first, the turn-off voltage of the contactor is determined
Figure 386969DEST_PATH_IMAGE052
：
Figure 197930DEST_PATH_IMAGE053
；
Wherein the content of the first and second substances,
Figure 250200DEST_PATH_IMAGE054
the moment when the voltage starts to oscillate after the contactor is turned off,
Figure 985069DEST_PATH_IMAGE035
what is shown is a step function of the signal,
Figure 439184DEST_PATH_IMAGE055
showing the amplitude of the overvoltage generated by the first oscillation after the contactor is turned off,
Figure 421046DEST_PATH_IMAGE056
representing the angular frequency of oscillation at which the contactor is oscillated off,
Figure 475459DEST_PATH_IMAGE057
representing the damping coefficient when the contactor is oscillating off,
Figure 997707DEST_PATH_IMAGE058
indicating the moment at which the j-th turn-off oscillation of the contactor ends,
Figure 509591DEST_PATH_IMAGE059
representing the number of times the contactor is turned off to oscillate;
then, the opening voltage of the contactor is determined
Figure 463685DEST_PATH_IMAGE060
：
Figure 224968DEST_PATH_IMAGE061
；
Wherein, the first and the second end of the pipe are connected with each other,
Figure 550907DEST_PATH_IMAGE062
at the moment when the contactor starts to oscillate after being turned on,
Figure 166565DEST_PATH_IMAGE035
what is shown is a step function of the signal,
Figure 286968DEST_PATH_IMAGE063
showing the amplitude of the overvoltage produced by the first oscillation after the contactor is opened,
Figure 801126DEST_PATH_IMAGE064
indicating the oscillation frequency at which the contactor is oscillating on,
Figure 930756DEST_PATH_IMAGE065
represents the damping coefficient when the contactor is switched on to oscillate,
Figure 902385DEST_PATH_IMAGE066
denotes the first
Figure 724848DEST_PATH_IMAGE067
The moment when the second-time on oscillation is finished,
Figure 913252DEST_PATH_IMAGE068
representing the times when the contactor is switched on and oscillates;
finally, the equivalent voltage source of the contactor
Figure 846573DEST_PATH_IMAGE069
。
Further, in step S2, the determining the equivalent impedance of the traction substation
Figure 718714DEST_PATH_IMAGE070
Determined by the following equation:
Figure 446499DEST_PATH_IMAGE071
；
wherein the content of the first and second substances,
Figure 420402DEST_PATH_IMAGE072
is a discharge resistor for the rectified output of the traction substation,
Figure 829518DEST_PATH_IMAGE073
is a voltage stabilizing capacitor of the rectified output of the traction substation, j is the unit of an imaginary number,
Figure 87324DEST_PATH_IMAGE074
is the angular frequency;
in step S2, the impedance of the lightning protection ground is determined
Figure 235278DEST_PATH_IMAGE075
By being provided withThe following equation determines:
Figure 883428DEST_PATH_IMAGE076
；
wherein the content of the first and second substances,
Figure 892972DEST_PATH_IMAGE077
is the resistivity of the lightning protection grounding device,
Figure 21596DEST_PATH_IMAGE078
is the cross-sectional area of the lightning protection grounding device,
Figure 28866DEST_PATH_IMAGE079
is the length of the lightning protection grounding device,
Figure 492209DEST_PATH_IMAGE080
is the depth of the ground portion of the lightning protection grounding device;
in step S2, determining the equivalent impedance of the catenary
Figure 289132DEST_PATH_IMAGE081
Determined by the following equation:
Figure 255951DEST_PATH_IMAGE082
；
wherein, the first and the second end of the pipe are connected with each other,
Figure 230861DEST_PATH_IMAGE083
taking the equivalent radius coefficient as 0.8,
Figure 869915DEST_PATH_IMAGE084
is the resistivity of the contact line and is,
Figure 486841DEST_PATH_IMAGE085
the distance between the track subway and the traction substation is,
Figure 511429DEST_PATH_IMAGE086
is the largest radius of the contact net,
Figure 437665DEST_PATH_IMAGE087
in order to be the frequency of the radio,
Figure 547704DEST_PATH_IMAGE088
is the relative magnetic permeability of the contact net,
Figure 437162DEST_PATH_IMAGE089
in order to achieve a magnetic permeability in a vacuum,
Figure 129306DEST_PATH_IMAGE090
is the conductivity of the contact net;
in step S2, determining the high-frequency equivalent impedance of the current transformer
Figure 446018DEST_PATH_IMAGE091
Determined by the following equation:
Figure 105669DEST_PATH_IMAGE092
；
wherein the content of the first and second substances,
Figure 798819DEST_PATH_IMAGE093
the number of turns of the secondary side of the current transformer,
Figure 844004DEST_PATH_IMAGE094
is the equivalent impedance of the load on the secondary side of the current transformer,
Figure 800459DEST_PATH_IMAGE095
is the equivalent inductance of the secondary coil of the current transformer;
in step S2, determining the high-frequency equivalent impedance of the line reactor
Figure 947406DEST_PATH_IMAGE096
Determined by the following equation:
Figure 132662DEST_PATH_IMAGE097
；
wherein the content of the first and second substances,
Figure 48665DEST_PATH_IMAGE098
is the equivalent inductance of the line reactor,
Figure 425289DEST_PATH_IMAGE099
is a high-frequency equivalent parasitic resistance of a line reactor,
Figure 793953DEST_PATH_IMAGE100
a high-frequency equivalent parasitic capacitor of a line reactor;
in step S2, determining the equivalent impedance of the high frequency in the traction system
Figure 828906DEST_PATH_IMAGE101
Determined by the following equation:
Figure 599415DEST_PATH_IMAGE102
；
wherein the content of the first and second substances,
Figure 648405DEST_PATH_IMAGE103
is the high frequency equivalent capacitance of the capacitor,
Figure 973207DEST_PATH_IMAGE104
is a high-frequency equivalent resistance of a capacitor,
Figure 61118DEST_PATH_IMAGE105
is a capacitance high-frequency equivalent inductance,
Figure 686134DEST_PATH_IMAGE106
is a high-frequency equivalent resistance of the resistor,
Figure 420872DEST_PATH_IMAGE107
is a resistance high-frequency equivalent inductance,
Figure 729842DEST_PATH_IMAGE108
is a resistance high-frequency equivalent capacitor;
step (ii) ofAt S2, determining the impedance of the rail
Figure 575438DEST_PATH_IMAGE109
Determined by the following equation:
Figure 304229DEST_PATH_IMAGE110
；
wherein the content of the first and second substances,
Figure 6606DEST_PATH_IMAGE111
is the electrical resistivity of the rail in question,
Figure 774842DEST_PATH_IMAGE112
is the distance between the rail subway and the traction substation,
Figure 706020DEST_PATH_IMAGE113
is the equivalent radius of the rail,
Figure 508891DEST_PATH_IMAGE114
in order to be the frequency of the radio,
Figure 100278DEST_PATH_IMAGE115
in order to be the magnetic permeability of the rail,
Figure 152547DEST_PATH_IMAGE116
is the electrical conductivity of the rail.
Further, the total impedance of an equivalent circuit taking the traction transformer as an interference source
Figure 74367DEST_PATH_IMAGE117
Expressed as:
Figure 544794DEST_PATH_IMAGE118
；
therefore, the first and second electrodes are formed on the substrate,
Figure 526656DEST_PATH_IMAGE119
；
wherein the content of the first and second substances,
Figure 66222DEST_PATH_IMAGE120
is an equivalent voltage source of the traction substation,
Figure 103317DEST_PATH_IMAGE121
is the equivalent impedance of the traction substation,
Figure 615201DEST_PATH_IMAGE122
is the impedance of the lightning protection ground and,
Figure 564702DEST_PATH_IMAGE123
is the equivalent impedance of the catenary,
Figure 342297DEST_PATH_IMAGE124
is the high frequency equivalent impedance of the current transformer,
Figure 871498DEST_PATH_IMAGE125
is the high frequency equivalent impedance of the line reactor,
Figure 34626DEST_PATH_IMAGE126
is the high frequency equivalent impedance of the traction system,
Figure 873138DEST_PATH_IMAGE127
is the equivalent impedance of the rail and,
Figure 387296DEST_PATH_IMAGE128
is the current in the equivalent loop of the traction transformer as the interference source.
Further, the total impedance of an equivalent circuit taking the brake priority system as an interference source
Figure 736500DEST_PATH_IMAGE129
Expressed as:
Figure 754135DEST_PATH_IMAGE130
；
therefore, the first and second electrodes are formed on the substrate,
Figure 514280DEST_PATH_IMAGE131
；
wherein the content of the first and second substances,
Figure 968264DEST_PATH_IMAGE132
is an equivalent voltage source of the brake override system,
Figure 636006DEST_PATH_IMAGE133
is the equivalent impedance of the traction substation,
Figure 727721DEST_PATH_IMAGE134
is the impedance of the lightning protection ground and,
Figure 721085DEST_PATH_IMAGE135
is the equivalent impedance of the catenary,
Figure 881939DEST_PATH_IMAGE136
is the high frequency equivalent impedance of the current transformer,
Figure 868218DEST_PATH_IMAGE137
is the high frequency equivalent impedance of the line reactor,
Figure 329287DEST_PATH_IMAGE138
is the high frequency equivalent impedance of the traction system,
Figure 181967DEST_PATH_IMAGE139
is the equivalent impedance of the rail and,
Figure 95697DEST_PATH_IMAGE140
is the current in an equivalent loop with the brake override system as the source of interference.
Further, the total impedance of the equivalent circuit taking the high-speed circuit breaker as an interference source
Figure 370820DEST_PATH_IMAGE141
Expressed as:
Figure 466821DEST_PATH_IMAGE142
；
therefore, the first and second electrodes are formed on the substrate,
Figure 739670DEST_PATH_IMAGE143
；
wherein the content of the first and second substances,
Figure 937434DEST_PATH_IMAGE144
is an equivalent voltage source for a high-speed circuit breaker,
Figure 704664DEST_PATH_IMAGE145
is the equivalent impedance of the traction substation,
Figure 937062DEST_PATH_IMAGE146
is the impedance of the lightning protection ground and,
Figure 630080DEST_PATH_IMAGE147
is the equivalent impedance of the catenary,
Figure 315139DEST_PATH_IMAGE148
is the high frequency equivalent impedance of the current transformer,
Figure 135328DEST_PATH_IMAGE149
is the high frequency equivalent impedance of the line reactor,
Figure 164509DEST_PATH_IMAGE150
is the high frequency equivalent impedance of the traction system,
Figure 513581DEST_PATH_IMAGE151
is the equivalent impedance of the rail and,
Figure 669625DEST_PATH_IMAGE152
is the current in an equivalent loop with a high speed breaker as the source of the disturbance.
Further, the contactor is taken as the total impedance of an equivalent circuit of an interference source
Figure 293504DEST_PATH_IMAGE153
Expressed as:
Figure 234916DEST_PATH_IMAGE154
；
therefore, the first and second electrodes are formed on the substrate,
Figure 771201DEST_PATH_IMAGE155
；
wherein, the first and the second end of the pipe are connected with each other,
Figure 430853DEST_PATH_IMAGE156
is the equivalent voltage source of the contactor,
Figure 576532DEST_PATH_IMAGE157
is the equivalent impedance of the traction substation,
Figure 841292DEST_PATH_IMAGE158
is the impedance of the lightning protection ground and,
Figure 860063DEST_PATH_IMAGE159
is the equivalent impedance of the catenary,
Figure 226585DEST_PATH_IMAGE160
is the high frequency equivalent impedance of the current transformer,
Figure 192267DEST_PATH_IMAGE161
is the high frequency equivalent impedance of the line reactor,
Figure 560800DEST_PATH_IMAGE162
is the high frequency equivalent impedance of the traction system,
Figure 156998DEST_PATH_IMAGE163
is the equivalent impedance of the rail and,
Figure 541974DEST_PATH_IMAGE164
is the current in an equivalent loop with the contactor as the source of the disturbance.
The urban rail subway transient state conduction EMI circuit model is built according to a power supply circuit schematic diagram in the urban rail subway operation process, and the structure specifically comprises the following steps:
traction substation is connected with the interchange contact net through lightning protection earthing device through first return current line, and the power supply passes through the interchange contact net is connected with the pantograph, and the rethread first return current line is connected with the priority system of brake, is connected with high speed circuit breaker again, high speed circuit breaker is connected with current transformer again, current transformer detects through the electric current to the cable, later current transformer is connected with the contactor, the contactor detects the judgement to the electric current in the return circuit, and then selects corresponding safeguard measure, the contactor is connected with traction system through the line reactor again, and rethread three-phase cable port U, V, W is connected with three-phase motor, and rethread rail gets back to traction substation through the second return current line.
The invention has the beneficial effects that: by establishing the urban rail subway transient state conducted EMI modeling method and the circuit model, the transient state conducted EMI characteristics of the urban rail subway can be accurately described by identifying the transient state interference source and modeling the conducted EMI interference loop, a research basis is provided for the research of the urban rail subway transient state conducted EMI, a theoretical basis can be better provided for the research of eliminating the rail subway transient state electromagnetic interference, and a research means is provided for the rail subway transient state conducted EMI problem.
Drawings
FIG. 1 is a model diagram of an urban rail subway power supply environment of the present invention;
FIG. 2 is a power supply structure diagram of the urban railway in the operation process of the invention;
FIG. 3 is a schematic diagram of a power supply circuit in the operation process of an urban railway;
FIG. 4 is a diagram of an urban rail subway transient state conducted EMI model of the present invention;
FIG. 5 is an equivalent circuit diagram of the conducted EMI formed by the urban railway station with the traction substation as an interference source;
FIG. 6 is a transient state conducted EMI equivalent circuit diagram formed by an urban railway subway with a brake priority system as an interference source;
FIG. 7 is a transient state conducted EMI equivalent circuit diagram formed by using a high-speed circuit breaker as an interference source in an urban rail subway of the invention;
FIG. 8 is a transient state conducted EMI equivalent circuit diagram formed by using a contactor as an interference source in an urban railway subway of the invention;
in the figure: 1. a headstock TC I; 2. a carriage MP I with a pantograph; 3. a compartment M I without a pantograph; 4. a compartment MII without a pantograph; 5. a carriage MP II with a pantograph; 6. a locomotive TC II; 7. a pantograph I; 8. a pantograph II; 9. a catenary; 10. a rail; 11. a traction substation A; 12. a lightning protection grounding device; 13. a return line I; 14. a track subway; 15. a return line II; 16. a brake priority system; 17. a high-speed circuit breaker; 18. a current transformer; 19. a contactor; 20. a line reactor; 21. a traction system; 22. a three-phase cable port U, V, W; 23. a three-phase motor.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention clearer and clearer, the present invention is further described below with reference to the accompanying drawings and examples.
The invention provides a 14 transient state conducted EMI modeling method and a circuit model of an urban rail subway, which are an example of an application scene of the invention by combining a 14 power supply environment model diagram of the urban rail subway shown in figure 1, wherein in the power supply environment model, a train consists of 6 carriages, 2 train heads TC (train heads TC I1 and TC II 6 respectively), 2 rows of carriages with pantograph and 2 rows of carriages without pantograph. 14 EMUs of urban rail subway acquire 1500V from contact net 9 through pantograph I7 and pantograph II 8 respectively, 50 Hz's electric energy, then pantograph I7 transmits the electric energy for the carriage MP I2 that has the pantograph, transmit for the carriage M I3 that does not have the pantograph through the carriage MP I2 that has the pantograph again, pantograph II 8 transmits the electric energy for carriage MP II 5 that has the pantograph, transmit for no pantograph carriage M II 4 through the carriage MP II 5 that has the pantograph again, be responsible for the drive and the power supply of whole car.
Referring to the attached figure 2, the invention relates to a power supply structure for 14 operation processes of urban railway and subwayIn the figure, XY coordinate axes are established. Traction substation A11 is connected with contact net 9 through lightning protection earthing device 12 through return line I13, and the power supply is connected with pantograph I7 through contact net 9, and pantograph I7 is connected with track subway 14, and the rethread rail 10 returns to traction substation A11 through return line II 15. Wherein the distance between the track subway 14 and the traction substation A11 isL 1 The distance between the A11 and the Y axis of the traction substation isL 2 。
Fig. 3 is a schematic diagram of a power supply circuit in the operation process of the urban railway 14 according to the invention, and a detailed analysis of the principle of the power supply circuit is made with reference to fig. 3, wherein the traction substation A11 is connected with a contact network 9 through a return wire I13 via a lightning protection grounding device 12, the power supply is connected with a pantograph I7 through an alternating current contact network 9, and then is connected with a brake priority system 16 through the return wire I13, and then is connected with a high-speed circuit breaker 17, the high-speed circuit breaker 17 is then connected with a current transformer 18, the current transformer 18 detects the current of the cable, then the current transformer 18 is connected with a contactor 19, the contactor 19 detects and judges the current in the loop, and then corresponding protection measures are selected, the corresponding protection measures are connected with the traction system 21 through the line reactor 20, the three-phase motor 23 is connected through the three-phase cable port U, V, W22, and the corresponding protection measures are returned to the traction substation A11 through the return line II 15 through the rail 10.
The invention provides an urban rail subway 14 transient state conducted EMI circuit model, refer to the accompanying figure 4 and be the urban rail subway 14 transient state conducted EMI model diagram of the invention, the model diagram of the accompanying figure 4 is established according to the power supply circuit schematic diagram of the urban rail subway 14 operation process of the invention of figure 3, the urban rail subway 14 transient state conducted EMI circuit model structure is specifically: the traction substation is connected with an alternating current contact network 9 through a lightning protection grounding device 12 through a first return line, power supply is carried out through the alternating current contact network 9 and a pantograph, the first return line is connected with a brake priority system 16 and then connected with a high-speed circuit breaker 17, the high-speed circuit breaker 17 is then connected with a current transformer 18, the current transformer 18 detects current of a cable, the current transformer 18 is connected with a contactor 19, the contactor 19 detects and judges the current in the loop and selects corresponding protective measures, the contactor 19 is connected with a traction system 21 through a line reactor 20, the three-phase cable port U, V, W22 is connected with a three-phase motor 23, and the traction substation is returned to the traction substation through a rail 10 through a second return line.
In the present model, the number of the main points,
Figure 45767DEST_PATH_IMAGE165
is an equivalent voltage source of a traction substation;
Figure 268807DEST_PATH_IMAGE166
is the equivalent impedance of the traction substation;
Figure 363802DEST_PATH_IMAGE167
is the impedance of lightning protection grounding;
Figure 642599DEST_PATH_IMAGE168
is the equivalent impedance of the catenary 9;
Figure 950083DEST_PATH_IMAGE169
is an equivalent voltage source for the brake override system 16;
Figure 293209DEST_PATH_IMAGE170
is the equivalent voltage source of the high speed circuit breaker 17;
Figure 27947DEST_PATH_IMAGE171
is the high frequency equivalent impedance of the current transformer 18;
Figure 59619DEST_PATH_IMAGE172
is the equivalent voltage source of the contactor 19;
Figure 905215DEST_PATH_IMAGE173
is the high frequency equivalent impedance of the line reactor 20;
Figure 102847DEST_PATH_IMAGE174
is the high frequency equivalent impedance of traction system 21;
Figure 805224DEST_PATH_IMAGE175
is the equivalent impedance of the rail 10.
The invention discloses a 14 transient state conduction EMI modeling method for an urban railway, which comprises the following steps:
step S1, constructing a power supply circuit schematic diagram of the operation process of the urban railway 14, wherein the power supply circuit schematic diagram specifically comprises the following steps: the method comprises the steps of connecting a traction substation with a contact network 9, enabling power supply to reach a pantograph, further connecting a brake priority system 16, detecting current of a track subway 14 in a loop by using a current transformer 18, a high-speed circuit breaker 17 and a contactor 19 to select corresponding protective measures, sequentially connecting a line reactor 20, a traction system 21 and a three-phase motor 23, and returning the current to the traction substation through a rail 10.
Step S2, establishing an urban transient state conducted EMI model according to a power supply circuit schematic diagram in an urban rail subway operation process, specifically: determining an equivalent voltage source of a traction substation; determining the equivalent impedance of a traction substation; determining an equivalent voltage source of the high-speed circuit breaker 17; determining the impedance of the lightning protection ground; determining the equivalent impedance of the catenary 9; determining an equivalent voltage source for the brake override system 16; determining the high-frequency equivalent impedance of the current transformer 18; determining an equivalent voltage source for the contactor 19; determining the high-frequency equivalent impedance of the line reactor 20; determining the high frequency equivalent impedance in the traction system 21; the impedance of the rail 10 is determined.
In step S2, the equivalent voltage source of the traction substation
Figure 839039DEST_PATH_IMAGE165
Determined by the following equation:
Figure 973480DEST_PATH_IMAGE176
；
wherein:
Figure 41930DEST_PATH_IMAGE177
is the voltage value of the rectified output of the traction substation,
Figure 164475DEST_PATH_IMAGE178
the pulse number of the rectified output voltage of the traction substation,
Figure 420007DEST_PATH_IMAGE179
the fundamental frequency is taken as 50Hz,
Figure 358139DEST_PATH_IMAGE180
is an integer, k is taken
Figure 812254DEST_PATH_IMAGE181
，
Figure 325275DEST_PATH_IMAGE182
，...，
Figure 51791DEST_PATH_IMAGE183
And t is time.
In step S2, the equivalent impedance of the traction substation is determined
Figure 839618DEST_PATH_IMAGE184
Determined by the following equation:
Figure 379533DEST_PATH_IMAGE186
；
wherein the content of the first and second substances,
Figure 329034DEST_PATH_IMAGE187
is a discharge resistor for the rectified output of the traction substation,
Figure 559158DEST_PATH_IMAGE188
is a voltage stabilizing capacitor of the rectified output of the traction substation, j is the unit of an imaginary number,
Figure 134365DEST_PATH_IMAGE074
is the angular frequency.
In step S2, the equivalent voltage source of the high-speed circuit breaker 17
Figure 31914DEST_PATH_IMAGE189
The determination steps are as follows:
first, the turn-off voltage of the high-speed circuit breaker 17 is determined
Figure 106311DEST_PATH_IMAGE190
：
Figure 620469DEST_PATH_IMAGE191
；
Wherein the content of the first and second substances,
Figure 953362DEST_PATH_IMAGE192
for the moment when the voltage starts to oscillate after the high-speed breaker 17 is turned off,
Figure 485843DEST_PATH_IMAGE023
what is shown is a step function of the signal,
Figure 980410DEST_PATH_IMAGE193
the amplitude of the overvoltage generated by the first oscillation after the high-speed breaker 17 is switched off is indicated,
Figure 981864DEST_PATH_IMAGE194
representing the angular frequency of oscillation at which the oscillation is switched off,
Figure 400338DEST_PATH_IMAGE195
indicating the damping coefficient at the time of off oscillation,
Figure 741320DEST_PATH_IMAGE196
indicating the moment at which the jth turn-off oscillation ended,
Figure 469105DEST_PATH_IMAGE197
represents the number of off oscillations;
then, the opening voltage of the high-speed breaker 17 is determined
Figure 941543DEST_PATH_IMAGE198
：
Figure 881818DEST_PATH_IMAGE200
；
Wherein:
Figure 874044DEST_PATH_IMAGE201
for the moment when the high speed breaker 17 starts oscillating after opening,
Figure 461146DEST_PATH_IMAGE023
what is shown is a step function of the signal,
Figure 437192DEST_PATH_IMAGE202
showing the amplitude of the overvoltage generated by the first oscillation after the high-speed circuit breaker 17 opens,
Figure 446736DEST_PATH_IMAGE203
indicating the frequency of oscillation at which the oscillation is switched on,
Figure 746000DEST_PATH_IMAGE204
indicating the damping coefficient when the oscillation is switched on,
Figure 815587DEST_PATH_IMAGE205
is shown as
Figure 13350DEST_PATH_IMAGE206
The moment when the second-time on oscillation is finished,
Figure 780580DEST_PATH_IMAGE207
representing the number of times the oscillation is switched on;
finally, the equivalent voltage source of the high-speed circuit breaker 17
Figure 481820DEST_PATH_IMAGE208
。
In step S2, the impedance of the lightning protection ground is determined
Figure 987887DEST_PATH_IMAGE209
Determined by the following equation:
Figure 859897DEST_PATH_IMAGE211
；
wherein the content of the first and second substances,
Figure 211244DEST_PATH_IMAGE212
is the resistivity of the lightning protection grounding device 12,
Figure 298149DEST_PATH_IMAGE213
is the cross-sectional area of the lightning protection grounding means 12,
Figure 460271DEST_PATH_IMAGE214
is the length of the lightning protection grounding device 12,
Figure 367047DEST_PATH_IMAGE215
is the depth of the ground portion of the lightning protection grounding device 12.
In step S2, the equivalent impedance of the catenary 9 is determined
Figure 725347DEST_PATH_IMAGE216
Determined by the following equation:
Figure 650447DEST_PATH_IMAGE218
；
wherein, the first and the second end of the pipe are connected with each other,
Figure 701579DEST_PATH_IMAGE219
taking the equivalent radius coefficient as 0.8,
Figure 315226DEST_PATH_IMAGE220
in order to be the resistivity of the contact net 9,
Figure 477217DEST_PATH_IMAGE221
the distance of the track subway 14 from the traction substation,
Figure 991244DEST_PATH_IMAGE222
the largest radius of the catenary 9,
Figure 478857DEST_PATH_IMAGE223
in order to be the frequency of the radio,
Figure 360225DEST_PATH_IMAGE224
in order to obtain a relative magnetic permeability of the contact network 9,
Figure 76639DEST_PATH_IMAGE225
in order to achieve a magnetic permeability in a vacuum,
Figure 195905DEST_PATH_IMAGE226
the conductivity of the contact net 9.
In step S2, the equivalent voltage source of the brake override system 16
Figure 385578DEST_PATH_IMAGE227
The determination steps are as follows:
first, the off-voltage of the brake override system 16 is determined
Figure 941193DEST_PATH_IMAGE228
：
Figure 710566DEST_PATH_IMAGE230
；
Wherein the content of the first and second substances,
Figure 79144DEST_PATH_IMAGE231
to the point where the voltage begins to oscillate after the brake override system 16 is turned off,
Figure 642981DEST_PATH_IMAGE035
what is shown is a step function of the signal,
Figure 452936DEST_PATH_IMAGE232
indicating the magnitude of the overvoltage generated by the first oscillation after the brake override system 16 is turned off,
Figure 557158DEST_PATH_IMAGE233
representing the angular frequency of oscillation at which the oscillation is switched off,
Figure 385437DEST_PATH_IMAGE234
indicating the damping coefficient at the time of off oscillation,
Figure 900601DEST_PATH_IMAGE235
indicating the moment at which the jth turn-off oscillation ends,
Figure 243857DEST_PATH_IMAGE236
represents the number of off oscillations;
then, the turn-on voltage of the brake override system 16 is determined
Figure 620612DEST_PATH_IMAGE237
：
Figure 100135DEST_PATH_IMAGE239
；
Wherein the content of the first and second substances,
Figure 490927DEST_PATH_IMAGE240
to the point where the brake override system 16 begins to oscillate after it is turned on,
Figure 55901DEST_PATH_IMAGE023
what is shown is a step function of the signal,
Figure 954456DEST_PATH_IMAGE241
indicating the magnitude of the overvoltage generated by the first oscillation of the brake override system 16 after it is turned on,
Figure 288485DEST_PATH_IMAGE242
indicating the oscillation frequency at which the oscillation is switched on,
Figure 161763DEST_PATH_IMAGE243
indicating the damping coefficient when the oscillation is switched on,
Figure 168027DEST_PATH_IMAGE244
is shown as
Figure 417743DEST_PATH_IMAGE206
The moment when the second-time on oscillation is finished,
Figure 809541DEST_PATH_IMAGE245
representing the number of times the oscillation is switched on;
finally, the equivalent voltage source of the brake override system 16
Figure 837409DEST_PATH_IMAGE246
。
In step S2, the high frequency equivalent impedance of the current transformer 18 is determined
Figure 376975DEST_PATH_IMAGE247
Determined by the following equation:
Figure 164802DEST_PATH_IMAGE248
；
wherein the content of the first and second substances,
Figure 427419DEST_PATH_IMAGE249
is the number of turns on the secondary side of the current transformer 18,
Figure 642499DEST_PATH_IMAGE250
is the equivalent impedance of the secondary side load of the current transformer 18,
Figure 872624DEST_PATH_IMAGE251
is the equivalent inductance of the secondary winding of the current transformer 18.
In step S2, the equivalent voltage source of the contactor 19 is determined
Figure 182251DEST_PATH_IMAGE252
The determination steps are as follows:
first, the turn-off voltage of the contactor 19 is determined
Figure 610958DEST_PATH_IMAGE253
：
Figure 200203DEST_PATH_IMAGE255
；
Wherein，
Figure 465093DEST_PATH_IMAGE256
At the moment when the voltage starts oscillating after the contactor 19 has been switched off,
Figure 329144DEST_PATH_IMAGE023
it is shown that it is a step function,
Figure 815620DEST_PATH_IMAGE257
the amplitude of the overvoltage produced by the first oscillation after the contactor 19 has been switched off is indicated,
Figure 356192DEST_PATH_IMAGE258
representing the angular frequency of oscillation at which the contactor 19 is turned off,
Figure 357646DEST_PATH_IMAGE259
indicating the damping coefficient when the contactor 19 is oscillating off,
Figure 25387DEST_PATH_IMAGE260
indicating the moment at which the j-th turn-off oscillation of the contactor 19 ends,
Figure 382682DEST_PATH_IMAGE261
represents the number of times the contactor 19 is oscillated off;
then, the opening voltage of the contactor 19 is determined
Figure 844887DEST_PATH_IMAGE262
：
Figure 271320DEST_PATH_IMAGE264
；
Wherein the content of the first and second substances,
Figure 726441DEST_PATH_IMAGE265
for the moment when the oscillation starts after the contactor 19 is opened,
Figure 718668DEST_PATH_IMAGE023
what is shown is a step function of the signal,
Figure 882933DEST_PATH_IMAGE266
showing the amplitude of the overvoltage generated by the first oscillation after the contactor 19 has been opened,
Figure 547395DEST_PATH_IMAGE267
indicating the oscillation frequency at which the contactor 19 is oscillating open,
Figure 291360DEST_PATH_IMAGE268
representing the damping coefficient of the contactor 19 at the opening oscillation,
Figure 669252DEST_PATH_IMAGE269
is shown as
Figure 925789DEST_PATH_IMAGE270
The moment when the second-time on oscillation is finished,
Figure 389132DEST_PATH_IMAGE271
represents the number of times the contactor 19 is turned on for oscillation;
finally, the equivalent voltage source of the contactor 19
Figure 140050DEST_PATH_IMAGE272
。
In step S2, the high-frequency equivalent impedance of the line reactor 20 is determined
Figure 134900DEST_PATH_IMAGE273
Determined by the following equation:
Figure 375388DEST_PATH_IMAGE275
；
wherein the content of the first and second substances,
Figure 998130DEST_PATH_IMAGE276
being the equivalent inductance of the line reactor 20,
Figure 598745DEST_PATH_IMAGE277
as a lineThe reactor 20 has a high-frequency equivalent parasitic resistance,
Figure 685650DEST_PATH_IMAGE278
is the line reactor 20 high frequency equivalent parasitic capacitance.
In step S2, the high frequency equivalent impedance in traction system 21 is determined
Figure 300302DEST_PATH_IMAGE279
Determined by the following equation:
Figure 223389DEST_PATH_IMAGE281
；
wherein the content of the first and second substances,
Figure 316110DEST_PATH_IMAGE282
is the high frequency equivalent capacitance of the capacitor,
Figure 241210DEST_PATH_IMAGE283
is a high-frequency equivalent resistance of a capacitor,
Figure 292343DEST_PATH_IMAGE284
is a capacitance high-frequency equivalent inductance,
Figure 686415DEST_PATH_IMAGE285
is a resistance high-frequency equivalent resistance,
Figure 333559DEST_PATH_IMAGE286
is a resistance high-frequency equivalent inductance,
Figure 863898DEST_PATH_IMAGE287
is a resistance high frequency equivalent capacitance.
In step S2, the impedance of the rail 10 is determined
Figure 882669DEST_PATH_IMAGE288
Determined by the following equation:
Figure 13305DEST_PATH_IMAGE289
；
wherein the content of the first and second substances,
Figure 182249DEST_PATH_IMAGE290
is the resistivity of the rail 10 and,
Figure 52247DEST_PATH_IMAGE291
is the distance of the track subway 14 from the traction substation,
Figure 710762DEST_PATH_IMAGE292
is the equivalent radius of the rail 10,
Figure 345006DEST_PATH_IMAGE293
in order to be the frequency of the radio,
Figure 832488DEST_PATH_IMAGE294
in order to be the magnetic permeability of the rail 10,
Figure 868577DEST_PATH_IMAGE295
is the electrical conductivity of the rail 10.
Step S3, respectively establishing four equivalent circuits with a traction substation, a brake priority system 16, a high-speed circuit breaker 17 and a contactor 19 as interference sources according to the transient state conducted EMI model diagram of the urban railway 14.
Referring to fig. 5, the equivalent circuit total impedance of the equivalent circuit formed by the traction substation as the interference source is shown in the equivalent circuit diagram of the conducted EMI formed by the urban railway 14 with the traction substation as the interference source
Figure 697992DEST_PATH_IMAGE296
Expressed as:
Figure 773527DEST_PATH_IMAGE297
；
wherein the content of the first and second substances,
Figure 815432DEST_PATH_IMAGE298
is an equivalent voltage source of a traction substation,
Figure 424137DEST_PATH_IMAGE299
is the equivalent impedance of the traction substation,
Figure 158875DEST_PATH_IMAGE300
is the impedance of the lightning protection ground and,
Figure 236552DEST_PATH_IMAGE301
is the equivalent impedance of the catenary 9,
Figure 895198DEST_PATH_IMAGE302
is the high frequency equivalent impedance of the current transformer 18,
Figure 374721DEST_PATH_IMAGE303
is the high frequency equivalent impedance of the line reactor 20,
Figure 811518DEST_PATH_IMAGE304
is the high frequency equivalent impedance of the traction system 21,
Figure 829022DEST_PATH_IMAGE305
is the equivalent impedance of the rail 10 and,
Figure 275047DEST_PATH_IMAGE306
the current in an equivalent loop taking the traction power transformation as an interference source is used. The establishment of the EMI conduction equivalent circuit diagram formed by the urban railway 14 with the traction substation as the interference source can clarify the EMI conduction interference circuit of the urban railway 14 with the traction substation as the interference source, can calculate the interference current in the interference circuit of the traction substation, can more accurately describe the transient EMI conduction characteristic of the urban railway 14, provides a research basis for the research of the transient EMI conduction of the urban railway, and provides a research method for inhibiting the transient EMI conduction problem of the whole vehicle.
Referring to fig. 6, the equivalent circuit diagram of transient state conducted EMI formed by the urban railway 14 using the brake priority system 16 as the interference source and the total impedance of the equivalent circuit using the brake priority system 16 as the interference source according to the present invention are shown in the figure
Figure 812338DEST_PATH_IMAGE307
Expressed as:
Figure 436349DEST_PATH_IMAGE309
；
therefore, the temperature of the molten steel is controlled,
Figure 691881DEST_PATH_IMAGE311
；
wherein, the first and the second end of the pipe are connected with each other,
Figure 410438DEST_PATH_IMAGE312
is an equivalent voltage source for the brake override system 16,
Figure 379400DEST_PATH_IMAGE313
is the equivalent impedance of the traction substation,
Figure 361262DEST_PATH_IMAGE314
is the impedance of the lightning protection ground and,
Figure 900828DEST_PATH_IMAGE315
is the equivalent impedance of the catenary 9,
Figure 439388DEST_PATH_IMAGE316
is the high frequency equivalent impedance of the current transformer 18,
Figure 216851DEST_PATH_IMAGE317
is the high frequency equivalent impedance of the line reactor 20,
Figure 166353DEST_PATH_IMAGE318
is the high frequency equivalent impedance of the traction system 21,
Figure 380165DEST_PATH_IMAGE319
is the equivalent impedance of the rail 10 and,
Figure 971684DEST_PATH_IMAGE320
is the current in the equivalent loop with the brake override system 16 as the source of the disturbance. Building (2)According to the transient state conducted EMI equivalent circuit diagram formed by the urban railway 14 with the brake priority system 16 as the interference source, the interference loop of the urban railway 14 conducted EMI with the brake priority system 16 as the interference source can be clarified, the interference current of the brake priority system 16 in the interference loop can be calculated, the transient state conducted EMI characteristic of the urban railway 14 can be described more accurately, a research basis is provided for the research of the transient state conducted EMI of the urban railway, and a research method is provided for restraining the transient state conducted EMI problem of the whole vehicle.
Referring to fig. 7, the equivalent circuit total impedance of the transient state conducted EMI equivalent circuit diagram formed by the urban railway 14 using the high-speed circuit breaker 17 as the interference source and using the high-speed circuit breaker 17 as the interference source of the invention is combined
Figure 77088DEST_PATH_IMAGE321
Expressed as:
Figure 463070DEST_PATH_IMAGE323
；
therefore, the first and second electrodes are formed on the substrate,
Figure 977228DEST_PATH_IMAGE325
；
wherein the content of the first and second substances,
Figure 841278DEST_PATH_IMAGE326
is the equivalent voltage source of the high speed circuit breaker 17,
Figure 780284DEST_PATH_IMAGE327
is the equivalent impedance of the traction substation,
Figure 619058DEST_PATH_IMAGE328
is the impedance of the lightning protection ground and,
Figure 620513DEST_PATH_IMAGE329
is the equivalent impedance of the catenary 9,
Figure 38987DEST_PATH_IMAGE330
is the high frequency equivalent of the current transformer 18The impedance of the light source is measured,
Figure 114390DEST_PATH_IMAGE331
is the high frequency equivalent impedance of the line reactor 20,
Figure 107754DEST_PATH_IMAGE332
is the high frequency equivalent impedance of the traction system 21,
Figure 580192DEST_PATH_IMAGE333
is the equivalent impedance of the rail 10 and,
Figure 989308DEST_PATH_IMAGE334
is the current in the equivalent loop with the high speed breaker 17 as the source of the disturbance. The establishment of the transient state conducted EMI equivalent circuit diagram formed by the urban railway 14 by taking the high-speed circuit breaker 17 as the interference source can clarify the interference loop of the urban railway 14 conducted EMI by taking the high-speed circuit breaker 17 as the interference source, can calculate the interference current of the high-speed circuit breaker 17 in the interference loop, can more accurately describe the transient state conducted EMI characteristic of the urban railway 14, provides a research basis for the research of the transient state conducted EMI of the urban railway, and provides a research method for inhibiting the transient state conducted EMI problem of the whole vehicle.
With reference to fig. 8, the equivalent circuit total impedance of the transient state conducted EMI equivalent circuit diagram formed by the urban railway 14 using the contactor 19 as the interference source and the contactor 19 as the interference source of the invention
Figure 981535DEST_PATH_IMAGE335
Expressed as:
Figure 896532DEST_PATH_IMAGE337
；
therefore, the first and second electrodes are formed on the substrate,
Figure 341420DEST_PATH_IMAGE339
；
wherein the content of the first and second substances,
Figure 554227DEST_PATH_IMAGE340
is an equivalent voltage source for the contactor 19,
Figure 181386DEST_PATH_IMAGE341
is the equivalent impedance of the traction substation,
Figure 985394DEST_PATH_IMAGE342
is the impedance of the lightning protection ground and,
Figure DEST_PATH_IMAGE343
is the equivalent impedance of the catenary 9,
Figure 871573DEST_PATH_IMAGE344
is the high frequency equivalent impedance of the current transformer 18,
Figure DEST_PATH_IMAGE345
is the high frequency equivalent impedance of the line reactor 20,
Figure 91333DEST_PATH_IMAGE346
is the high frequency equivalent impedance of the traction system 21,
Figure DEST_PATH_IMAGE347
is the equivalent impedance of the rail 10 and,
Figure 245102DEST_PATH_IMAGE348
is the current in the equivalent loop with the contactor 19 as the source of the disturbance. The establishment of the transient state conducted EMI equivalent circuit diagram formed by the urban railway 14 by taking the contactor 19 as the interference source can clarify the interference loop of the urban railway 14 conducted EMI by taking the contactor 19 as the interference source, can calculate the interference current of the contactor 19 in the interference loop, can more accurately describe the transient state conducted EMI characteristic of the urban railway 14, provides a research basis for the research of the transient state conducted EMI of the urban railway, and provides a research method for inhibiting the transient state conducted EMI problem of the whole vehicle.
By establishing the urban rail subway 14 transient state conducted EMI modeling method and the circuit model, the transient state conducted EMI characteristics of the urban rail subway 14 can be accurately described by identifying the transient state interference source and modeling the conducted EMI interference loop, a research basis is provided for the research of the urban rail subway 14 transient state conducted EMI, a theoretical basis can be better provided for the research of eliminating the railway subway 14 transient state electromagnetic interference, and a research means is provided for the problem of the railway subway 14 transient state conducted EMI.
The foregoing circuit description and connection relationships are for illustrative purposes only and are not to be construed as limiting the present patent in practice in accordance with circuit implementations; it should be understood that the above-described embodiments of the present invention are merely examples for clearly illustrating the present invention, and are not intended to limit the embodiments of the present invention. Other variations and modifications will be apparent to persons skilled in the art in light of the above description. And are neither required nor exhaustive of all embodiments. Any modification, equivalent replacement, and improvement made within the spirit and principle of the present invention should be included in the protection scope of the claims of the present invention.

Claims (9)

1. An urban rail subway transient state conduction EMI modeling method is characterized by comprising the following steps:
s1, constructing a power supply circuit schematic diagram of the urban railway operation process;
step S2, establishing an urban rail subway transient state conducted EMI model according to the power supply circuit schematic diagram in the urban rail subway operation process, specifically:
determining an equivalent voltage source of a traction substation;
determining the equivalent impedance of a traction substation;
determining an equivalent voltage source of the high-speed circuit breaker;
determining the impedance of the lightning protection ground;
determining the equivalent impedance of the contact network;
determining an equivalent voltage source of a brake priority system;
determining high-frequency equivalent impedance of the current transformer;
determining an equivalent voltage source of the contactor;
determining the high-frequency equivalent impedance of the line reactor;
determining high-frequency equivalent impedance in a traction system;
determining the impedance of the rail;
and step S3, respectively establishing four equivalent circuits with a traction substation, a brake priority system, a high-speed circuit breaker and a contactor as interference sources according to the transient state conducted EMI model diagram of the urban railway.
2. The modeling method for transient conduction EMI of urban rails and subways according to claim 1, wherein the power supply circuit in the step S1 has a principle that:
the method comprises the steps of connecting a traction substation with a contact network, enabling power supply to reach a pantograph and further connecting a brake priority system, detecting current in a loop by using a current transformer, a high-speed circuit breaker and a contactor to select corresponding protective measures, sequentially communicating a line reactor, a traction system and a three-phase motor, and flowing back to the traction substation through a rail.
3. The modeling method for transient conduction EMI (electro-magnetic interference) of urban rail subways according to claim 1, wherein in step S2, the equivalent voltage source of the traction substation
Figure 654658DEST_PATH_IMAGE001
Determined by the following equation:
Figure 588985DEST_PATH_IMAGE003
；
wherein:
Figure 409173DEST_PATH_IMAGE004
is the voltage value of the rectified output of the traction substation,
Figure 184494DEST_PATH_IMAGE005
the pulse number of the rectified output voltage of the traction substation,
Figure 595883DEST_PATH_IMAGE006
for the fundamental frequency, take 50Hz,
Figure 971501DEST_PATH_IMAGE007
is an integer, k is taken
Figure 110227DEST_PATH_IMAGE008
，
Figure 317218DEST_PATH_IMAGE009
，...，
Figure 837192DEST_PATH_IMAGE010
T is time;
in step S2, the equivalent voltage source of the high-speed circuit breaker
Figure 247576DEST_PATH_IMAGE011
The determination steps are as follows:
first, the turn-off voltage of the high-speed circuit breaker is determined
Figure 940725DEST_PATH_IMAGE012
：
Figure 939905DEST_PATH_IMAGE014
；
Wherein, the first and the second end of the pipe are connected with each other,
Figure 207945DEST_PATH_IMAGE015
for the moment when the voltage starts to oscillate after the high-speed circuit breaker is switched off,
Figure 89313DEST_PATH_IMAGE016
what is shown is a step function of the signal,
Figure 523836DEST_PATH_IMAGE017
showing the amplitude of the overvoltage generated by the first oscillation after the high-speed breaker is turned off,
Figure 202291DEST_PATH_IMAGE018
representing the angular frequency of oscillation at which the oscillation is switched off,
Figure 126385DEST_PATH_IMAGE019
indicating the damping coefficient at the time of off oscillation,
Figure 698311DEST_PATH_IMAGE020
indicating the moment at which the jth turn-off oscillation ends,
Figure 982531DEST_PATH_IMAGE021
represents the number of off oscillations;
then, determining the opening voltage of the high-speed circuit breaker
Figure 753041DEST_PATH_IMAGE022
：
Figure 848036DEST_PATH_IMAGE024
；
Wherein:
Figure 657991DEST_PATH_IMAGE025
the moment when the high-speed circuit breaker starts to oscillate after being opened,
Figure 231055DEST_PATH_IMAGE026
what is shown is a step function of the signal,
Figure 856071DEST_PATH_IMAGE027
the overvoltage amplitude generated by the first oscillation after the high-speed circuit breaker is opened is shown,
Figure 840077DEST_PATH_IMAGE028
indicating the oscillation frequency at which the oscillation is switched on,
Figure 917754DEST_PATH_IMAGE029
indicating the damping coefficient when the oscillation is switched on,
Figure 560088DEST_PATH_IMAGE030
is shown as
Figure 305190DEST_PATH_IMAGE031
The moment when the second-time on oscillation is finished,
Figure 695983DEST_PATH_IMAGE032
representing the number of times of switching on oscillation;
finally, the equivalent voltage source of the high-speed circuit breaker
Figure 526535DEST_PATH_IMAGE033
；
In step S2, the equivalent voltage source of the brake override system
Figure 893932DEST_PATH_IMAGE034
The determination steps are as follows:
first, the turn-off voltage of the brake override system is determined
Figure 493540DEST_PATH_IMAGE035
：
Figure 366818DEST_PATH_IMAGE037
；
Wherein the content of the first and second substances,
Figure 419088DEST_PATH_IMAGE038
to determine the time when the voltage begins to oscillate after the brake override system is turned off,
Figure 357219DEST_PATH_IMAGE026
what is shown is a step function of the signal,
Figure 14597DEST_PATH_IMAGE039
the amplitude of the overvoltage generated by the first oscillation after the brake priority system is turned off is shown,
Figure 42464DEST_PATH_IMAGE040
representing the angular frequency of oscillation at which the oscillation is switched off,
Figure 847609DEST_PATH_IMAGE041
indicating the damping coefficient at the time of off oscillation,
Figure 573120DEST_PATH_IMAGE042
indicating the moment at which the jth turn-off oscillation ends,
Figure 632474DEST_PATH_IMAGE043
representing the number of turn-off oscillations;
then, the opening voltage of the brake priority system is determined
Figure 50817DEST_PATH_IMAGE044
：
Figure 812100DEST_PATH_IMAGE046
；
Wherein, the first and the second end of the pipe are connected with each other,
Figure 387306DEST_PATH_IMAGE047
at the moment when the brake priority system starts to oscillate after being switched on,
Figure 19276DEST_PATH_IMAGE026
what is shown is a step function of the signal,
Figure 139679DEST_PATH_IMAGE048
the overvoltage amplitude value generated by the first oscillation after the brake priority system is switched on is shown,
Figure 404569DEST_PATH_IMAGE049
indicating opening vibrationThe frequency of the oscillation when oscillating is such that,
Figure 737461DEST_PATH_IMAGE050
indicating the damping coefficient when the oscillation is switched on,
Figure 755096DEST_PATH_IMAGE051
is shown as
Figure 826826DEST_PATH_IMAGE031
The moment when the second-time on oscillation is finished,
Figure 765963DEST_PATH_IMAGE052
representing the number of times the oscillation is switched on;
finally, the equivalent voltage source of the brake priority system
Figure 433705DEST_PATH_IMAGE053
；
In step S2, determining an equivalent voltage source of the contactor
Figure 322158DEST_PATH_IMAGE054
The determination steps are as follows:
first, the turn-off voltage of the contactor is determined
Figure 518784DEST_PATH_IMAGE055
：
Figure 476375DEST_PATH_IMAGE057
；
Wherein the content of the first and second substances,
Figure 400338DEST_PATH_IMAGE058
the moment when the voltage starts to oscillate after the contactor is turned off,
Figure 658144DEST_PATH_IMAGE026
what is shown is a step function of the signal,
Figure 291251DEST_PATH_IMAGE059
the amplitude of the overvoltage produced by the first oscillation after the contactor has been switched off is indicated,
Figure 955712DEST_PATH_IMAGE060
representing the angular frequency of oscillation at which the contactor is oscillated off,
Figure 965257DEST_PATH_IMAGE061
represents the damping coefficient when the contactor is oscillating off,
Figure 77569DEST_PATH_IMAGE062
indicating the moment at which the j-th turn-off oscillation of the contactor ends,
Figure 396424DEST_PATH_IMAGE063
representing the number of times the contactor is turned off to oscillate;
then, the opening voltage of the contactor is determined
Figure 328608DEST_PATH_IMAGE064
：
Figure 610685DEST_PATH_IMAGE066
；
Wherein, the first and the second end of the pipe are connected with each other,
Figure 519780DEST_PATH_IMAGE067
at the moment when the contactor starts to oscillate after being turned on,
Figure 494689DEST_PATH_IMAGE026
what is shown is a step function of the signal,
Figure 445327DEST_PATH_IMAGE068
showing the amplitude of the overvoltage generated by the first oscillation after the contactor is opened,
Figure 45942DEST_PATH_IMAGE069
indicating the oscillation frequency at which the contactor is oscillating on,
Figure 867267DEST_PATH_IMAGE070
represents the damping coefficient when the contactor is switched on to oscillate,
Figure 216340DEST_PATH_IMAGE071
is shown as
Figure 873849DEST_PATH_IMAGE072
The moment when the second-time on oscillation is finished,
Figure 294466DEST_PATH_IMAGE073
representing the times when the contactor is switched on and oscillates;
finally, the equivalent voltage source of the contactor
Figure 970298DEST_PATH_IMAGE074
。
4. The modeling method for transient conduction EMI (electro-magnetic interference) of urban rail subways according to claim 1, wherein in step S2, the equivalent impedance of the traction substation is determined
Figure 270698DEST_PATH_IMAGE075
Determined by the following equation:
Figure 664770DEST_PATH_IMAGE077
；
wherein the content of the first and second substances,
Figure 357920DEST_PATH_IMAGE078
a discharge resistor for rectifying output of the traction substation,
Figure 373411DEST_PATH_IMAGE079
is a voltage stabilizing capacitor of the rectified output of the traction substation, j is the unit of an imaginary number,
Figure 126604DEST_PATH_IMAGE080
is the angular frequency;
in step S2, the impedance of the lightning protection ground is determined
Figure 945655DEST_PATH_IMAGE081
Determined by the following equation:
Figure 957342DEST_PATH_IMAGE082
；
wherein the content of the first and second substances,
Figure 811029DEST_PATH_IMAGE083
is the resistivity of the lightning protection grounding device,
Figure 735123DEST_PATH_IMAGE084
is the cross-sectional area of the lightning protection grounding device,
Figure 323361DEST_PATH_IMAGE085
is the length of the lightning protection grounding device,
Figure 358313DEST_PATH_IMAGE086
is the depth of the ground portion of the lightning protection grounding device;
in step S2, determining the equivalent impedance of the catenary
Figure 128823DEST_PATH_IMAGE087
Determined by the following equation:
Figure 941927DEST_PATH_IMAGE089
；
wherein the content of the first and second substances,
Figure 532308DEST_PATH_IMAGE090
taking the equivalent radius coefficient as 0.8,
Figure 324946DEST_PATH_IMAGE091
is the resistivity of the contact line and is,
Figure 215542DEST_PATH_IMAGE092
the distance between the track subway and the traction substation,
Figure 684700DEST_PATH_IMAGE093
is the largest radius of the contact net,
Figure 11645DEST_PATH_IMAGE094
in order to be the frequency of the radio,
Figure 653979DEST_PATH_IMAGE095
is the relative magnetic permeability of the contact net,
Figure 133502DEST_PATH_IMAGE096
in order to achieve a magnetic permeability in a vacuum,
Figure 524294DEST_PATH_IMAGE097
is the conductivity of the contact net;
in step S2, determining the high-frequency equivalent impedance of the current transformer
Figure 354847DEST_PATH_IMAGE098
Determined by the following equation:
Figure 535293DEST_PATH_IMAGE099
；
wherein the content of the first and second substances,
Figure 587431DEST_PATH_IMAGE100
the number of turns of the secondary side of the current transformer,
Figure 195130DEST_PATH_IMAGE101
is the equivalent impedance of the load on the secondary side of the current transformer,
Figure 247400DEST_PATH_IMAGE102
is the equivalent inductance of the secondary coil of the current transformer;
in step S2, determining the high-frequency equivalent impedance of the line reactor
Figure 185531DEST_PATH_IMAGE103
Determined by the following equation:
Figure 639646DEST_PATH_IMAGE105
；
wherein the content of the first and second substances,
Figure 887088DEST_PATH_IMAGE106
is the equivalent inductance of the line reactor,
Figure 410342DEST_PATH_IMAGE107
is a high-frequency equivalent parasitic resistance of a line reactor,
Figure 198169DEST_PATH_IMAGE108
a high-frequency equivalent parasitic capacitor of a line reactor;
in step S2, determining the equivalent impedance of the high frequency in the traction system
Figure 506791DEST_PATH_IMAGE109
Determined by the following equation:
Figure 410287DEST_PATH_IMAGE111
；
wherein the content of the first and second substances,
Figure 702728DEST_PATH_IMAGE112
is the high frequency equivalent capacitance of the capacitor,
Figure 966351DEST_PATH_IMAGE113
is a high-frequency equivalent resistance of a capacitor,
Figure 909905DEST_PATH_IMAGE114
is a capacitance high-frequency equivalent inductance,
Figure 233570DEST_PATH_IMAGE115
is a resistance high-frequency equivalent resistance,
Figure 747728DEST_PATH_IMAGE116
is a resistance high-frequency equivalent inductance,
Figure 389992DEST_PATH_IMAGE117
is a resistance high-frequency equivalent capacitor;
in step S2, the method determines the impedance of the rail
Figure 673206DEST_PATH_IMAGE118
Determined by the following equation:
Figure 682619DEST_PATH_IMAGE119
；
wherein the content of the first and second substances,
Figure 684073DEST_PATH_IMAGE120
is the specific resistance of the rail and,
Figure 351815DEST_PATH_IMAGE121
is the distance between the rail subway and the traction substation,
Figure 709109DEST_PATH_IMAGE122
is the equivalent radius of the rail,
Figure 374577DEST_PATH_IMAGE123
in order to be the frequency of the radio,
Figure 315857DEST_PATH_IMAGE124
in order to be the magnetic permeability of the rail,
Figure 787289DEST_PATH_IMAGE125
is the electrical conductivity of the rail.
5. The modeling method for transient conduction EMI (electromagnetic interference) of urban rail subways according to claim 4, wherein the total impedance of an equivalent circuit with the traction substation as an interference source
Figure 779516DEST_PATH_IMAGE126
Expressed as:
Figure 412623DEST_PATH_IMAGE128
；
wherein the content of the first and second substances,
Figure 139401DEST_PATH_IMAGE129
is an equivalent voltage source of the traction substation,
Figure 617787DEST_PATH_IMAGE130
is the equivalent impedance of the traction substation,
Figure 464521DEST_PATH_IMAGE131
is the impedance of the lightning protection ground and,
Figure 986638DEST_PATH_IMAGE132
is the equivalent impedance of the catenary,
Figure 387663DEST_PATH_IMAGE133
is the high frequency equivalent impedance of the current transformer,
Figure 217210DEST_PATH_IMAGE134
is the high frequency equivalent impedance of the line reactor,
Figure 918450DEST_PATH_IMAGE135
is the high frequency equivalent impedance of the traction system,
Figure 362201DEST_PATH_IMAGE136
is the equivalent impedance of the rail and,
Figure 30948DEST_PATH_IMAGE137
the current in an equivalent loop taking the traction power transformation as an interference source is used.
6. The urban rail subway transient state conduction EMI modeling method according to claim 4, wherein the brake priority system is used as the total impedance of the equivalent circuit of the interference source
Figure 382295DEST_PATH_IMAGE138
Expressed as:
Figure 469200DEST_PATH_IMAGE140
；
therefore, the first and second electrodes are formed on the substrate,
Figure 834584DEST_PATH_IMAGE142
；
wherein, the first and the second end of the pipe are connected with each other,
Figure 210202DEST_PATH_IMAGE143
is an equivalent voltage source of the brake override system,
Figure 630819DEST_PATH_IMAGE144
is the equivalent impedance of the traction substation,
Figure 759181DEST_PATH_IMAGE145
is lightning protection groundingThe impedance of (a) of (b) is,
Figure 341472DEST_PATH_IMAGE146
is the equivalent impedance of the catenary,
Figure 1123DEST_PATH_IMAGE147
is the high frequency equivalent impedance of the current transformer,
Figure 445005DEST_PATH_IMAGE148
is the high frequency equivalent impedance of the line reactor,
Figure 444185DEST_PATH_IMAGE149
is the high frequency equivalent impedance of the traction system,
Figure 197378DEST_PATH_IMAGE150
is the equivalent impedance of the rail and,
Figure 531276DEST_PATH_IMAGE151
is the current in an equivalent loop with the brake override system as the source of interference.
7. The modeling method of transient conducted EMI (electromagnetic interference) of urban rail subways according to claim 4, characterized in that the total impedance of an equivalent circuit with the high-speed circuit breaker as an interference source
Figure 293696DEST_PATH_IMAGE152
Expressed as:
Figure 163694DEST_PATH_IMAGE154
；
therefore, the first and second electrodes are formed on the substrate,
Figure 556629DEST_PATH_IMAGE156
；
wherein the content of the first and second substances,
Figure 112244DEST_PATH_IMAGE157
is an equivalent voltage source for a high-speed circuit breaker,
Figure 147196DEST_PATH_IMAGE158
is the equivalent impedance of the traction substation,
Figure 917706DEST_PATH_IMAGE159
is the impedance of the lightning protection ground and,
Figure 12701DEST_PATH_IMAGE160
is the equivalent impedance of the catenary,
Figure 619394DEST_PATH_IMAGE161
is the high frequency equivalent impedance of the current transformer,
Figure 458037DEST_PATH_IMAGE162
is the high frequency equivalent impedance of the line reactor,
Figure 286316DEST_PATH_IMAGE163
is the high frequency equivalent impedance of the traction system,
Figure 67059DEST_PATH_IMAGE164
is the equivalent impedance of the rail and,
Figure 347999DEST_PATH_IMAGE165
is the current in an equivalent loop with a high speed breaker as the source of the disturbance.
8. The urban rail subway transient state conduction EMI modeling method according to claim 4, wherein the contactor is used as the equivalent circuit total impedance of an interference source
Figure 990333DEST_PATH_IMAGE166
Expressed as:
Figure 412131DEST_PATH_IMAGE168
；
therefore, the first and second electrodes are formed on the substrate,
Figure 848929DEST_PATH_IMAGE170
；
wherein the content of the first and second substances,
Figure DEST_PATH_IMAGE171
is the equivalent voltage source of the contactor,
Figure 397591DEST_PATH_IMAGE172
is the equivalent impedance of the traction substation,
Figure DEST_PATH_IMAGE173
is the impedance of the lightning protection ground and,
Figure 515720DEST_PATH_IMAGE174
is the equivalent impedance of the catenary,
Figure DEST_PATH_IMAGE175
is the high frequency equivalent impedance of the current transformer,
Figure 538165DEST_PATH_IMAGE176
is the high frequency equivalent impedance of the line reactor,
Figure DEST_PATH_IMAGE177
is the high frequency equivalent impedance of the traction system,
Figure 332814DEST_PATH_IMAGE178
is the equivalent impedance of the rail and,
Figure DEST_PATH_IMAGE179
is the current in the equivalent loop with the contactor as the source of interference.
9. The urban rail subway transient state conducted EMI circuit model manufactured by using the urban rail subway transient state conducted EMI modeling method according to any one of claims 1-8, wherein the urban rail subway transient state conducted EMI circuit model is built according to a power supply circuit schematic diagram in an urban rail subway operation process, and the structure is specifically as follows:
traction substation is connected with alternating current contact net through lightning protection earthing device through first return current line, and the power supply passes through alternating current contact net is connected with the pantograph, the rethread first return current line is connected with the priority system of brake, is connected with high-speed circuit breaker again, high-speed circuit breaker is connected with current transformer again, current transformer detects through the electric current to the cable, later current transformer is connected with the contactor, the contactor detects the judgement to the electric current in the return circuit, and then selects corresponding safeguard measure, the contactor is connected with traction system through the line reactor again, and rethread three-phase cable port U, V, W is connected with three-phase motor, and the rethread rail gets back to traction substation through the second return current line.
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