CN110457792A - A kind of emulation mode of EMU rail potential and rail current based on PSCAD - Google Patents
A kind of emulation mode of EMU rail potential and rail current based on PSCAD Download PDFInfo
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Abstract
The emulation mode of the invention discloses a kind of EMU rail potential and rail current based on PSCAD, comprising the following steps: step 1: divide part modeling, including traction substation model, Traction networks system model, motor-car group model, insulation joint model；Step 2: the model that step 1 is constructed is connected by actual electrical couplings relationship；Step 3: setting emulation operating condition obtains the distribution of rail potential and electric current；The case where single EMU passes through insulation joint not only can be considered in the present invention, it is further contemplated that when multiple EMU are passed through cut-out point insulation joint both ends potential difference variation, obtain various working under the rail potential of different location and the distribution situation of rail current.
Description
Technical field
The present invention relates to the simulation calculations of electric railway, and in particular to a kind of EMU rail potential based on PSCAD
With the emulation mode of rail current.
Background technique
Electric railway locomotive power is big, takes and flows big, rate of traffic flow height, therefore corresponding short circuit current is big, traction current
Greatly, very high rail voltage and current is easily caused.And section AT STATION, it is various unfavorable that excessively high rail voltage and current can generate
It influences.Such as: under tractive power supply system normal operating condition, the uneven normal work for influencing track circuit of rail current
Make.Excessively high track potential may influence the runnability of tractive power supply system, threaten the personal safety of operating maintenance personnel.In
Contact net is to the contact overvoltage under the short-circuit condition of rail, forming danger and the overvoltage etc. that strides.The rail electricity in station section
Position electric current can carry out simulation analysis by establishing EMU-Traction networks integration Equivalent Model method.Section motor-car AT STATION
In group-Traction networks system, there are many factors for influencing rail potential electric current, such as the ground connection parameter of electric substation, and train, which is crossed, to be cut
Wheel track phenomenon of arc discharge when breakpoint insulation joint, train excessively common insulation joint when high impedance present and insulation joint and choke transformer
Impedance parameter etc..However existing station section EMU-Traction networks Equivalent Model substation ground parameter multipair greatly is done
Simplify processing, the rail potential electric current come out using such model analysis is often less accurate.Therefore considering detailed station
On the basis of the traction web frame and its specific component in section, EMU operation in common station section is carried out to rail voltage and current
Simulation analysis under operating condition is necessary.
Summary of the invention
The present invention, which provides one kind, not only can be considered the case where single EMU passes through insulation joint, it is further contemplated that multiple
The variation of cut-out point insulation joint both ends potential difference when EMU is passed through can get rail potential and rail current under various working
The emulation mode of the EMU rail potential and rail current based on PSCAD of distribution situation.
The technical solution adopted by the present invention is that: a kind of emulation of EMU rail potential and rail current based on PSCAD
Method, comprising the following steps:
Step 1: dividing part modeling, including traction substation model, Traction networks system model, motor-car group model, insulation joint
Model；
Step 2: the model that step 1 is constructed is connected by actual electrical couplings relationship；
Step 3: setting emulation operating condition obtains the distribution of rail potential and electric current.
Further, Traction networks route uses the chain type mould based on more wire transmission theories in the Traction networks system model
Type is equivalent, and detailed process is as follows:
S11: according to current branch, Traction networks are divided into several series connection subnets；
S12: parallel multi-conductor transmission lines constitute the series arm in subnet, make section with current branch, between section
Parallel more conducting wires are carried out equivalent with pi-network；
S13: being divided into N number of part for Traction networks, is divided into common section and station section, each parallel conductor two-by-two mutual tolerance,
Mutual Inductance Coupling is carried out equivalent by pi-network；
S14: each traction subnet after segmentation is connected by corresponding ports, constitutes overall chain network model.
Further, the calculating process of the Traction networks chain model conductor parameter is as follows:
S21: each conductor parameter of AT multiple line tractive power supply system is obtained；
S22: it is obtained according to Carson formula equivalent over the ground between the self-impedance equivalent over the ground of overhead line and two conducting wires
Mutual impedance；
Wherein: riFor conducting wire D.C. resistance, reFor the resistance of the earth itself, RεiFor the equivalent redius of conducting wire, dijFor conducting wire i
With the geometric distance between conducting wire j, f is power frequency, DgFor earth equivalent depth, ZiiFor the self-impedance of conducting wire, ZijFor conducting wire
Mutual impedance；
S23: the self-potential FACTOR P of conducting wireiiMutual coefficient of potential P between two conducting wiresijIt is as follows:
In formula: ε0For the dielectric constant of air, riFor the equivalent redius of conducting wire i, hiFor the height of conducting wire i to ground, dijFor
Space length between conducting wire i and conducting wire j, DijFor the mirror image distance between conducting wire i and j.
Further, the motor-car group model in the step 1 includes the following contents:
High-tension cable carries out equivalence using parameter model is evenly distributed, and high-tension cable core equivalence is resistance-inductance, electricity
There are capacitive couplings between cable core and shielded layer；
The car body equivalence of EMU is concatenated impedance；
Working earthing model includes mobile transformer and grounding carbon brush resistance, and traction current is in the primary of mobile transformer
Side is by EMU grounding carbon brush and ground engaging stabiliser wheel to inflow rail；
Protective grounding model equivalence is the resistance of connection body and rail.
Further, the emulation operating condition in the step 3 includes having vehicle by cut-out point insulation joint, a plurality of on side line
There is vehicle on side line, and simultaneously by having vehicle on cut-out point insulation joint, a plurality of side line, in different moments by cutting point insulating
Section.
Further, in the step 1 electric substation's model using power frequency 27.5KV single phase alternating current power supply and series connection with it
Impedance is equivalent, and the ground resistance of traction substation is extracted by CDEGS；
The extraction process of ground resistance is as follows:
S31: according to Traction networks Grounding, traction substation grounded screen structural model is built by SESCAD；
S32: traction substation view is inputted into RESAP module in soil rate, obtains electric substation's soil fertility status；
S33: the substation ground web frame model that the obtained soil texture of step S32 and step S31 are obtained imports
MALZ engineering module is extracted and calculates substation ground parameter.
Further, in the step 1 in insulation joint model construction process, using single-phase circuit breaker and ON/OFF breaker
The event control element being composed is equivalent.
Further, the process that calculating substation ground parameter is extracted in the step S33 is as follows:
S41: choosing a level and grounding body as driving source, its exciting current be arranged, with grounded screen certain distance
Position be arranged a refurn electrode；
S42: the line of observation is drawn between grounded screen and refurn electrode；
S43: setting reference point of potential obtains the current potential between grounded screen horizontal grounding objects application current point and measurement point
Difference takes potential difference to change the smallest observation point, and potential difference of this point is voltage-to-ground, and the ratio of voltage-to-ground and exciting current is
Traction substation ground resistance.
The beneficial effects of the present invention are:
(1) emulation mode of the present invention combines fine Traction networks chain model and detailed EMU earthing system model,
Complete rail potential, current model are established, EMU-Traction networks Equivalent Model is utilized；
(2) by EMU-Traction networks Equivalent Model, to EMU, cut-out point insulation joint is passed through in section to the present invention AT STATION
Simulation analysis is carried out, not only it is contemplated that the case where single EMU passes through insulation joint, it is further contemplated that multiple EMU pass through
The variation of out-of-date cut-out point insulation joint both ends potential difference obtains the rail potential and rail current of different location under various working
Distribution situation.
Detailed description of the invention
Fig. 1 is traction substation grounded screen structural model schematic diagram.
Fig. 2 is Traction networks chain model schematic diagram.
Fig. 3 is CRH380BL type EMU earthed system electrical structure schematic diagram.
Fig. 4 is cut-out point insulation joint model schematic.
Fig. 5 is EMU-Traction networks model schematic.
Fig. 6 is main track rail voltage simulation result schematic diagram.
Fig. 7 is main track rail current simulation result schematic diagram.
Fig. 8 is side line rail voltage simulation result schematic diagram where train.
Fig. 9 is side line rail current simulation result schematic diagram where train.
Figure 10 is cut-out point insulation joint both ends potential difference simulation result schematic diagram.
Figure 11 is cut-out point insulation joint both ends potential difference simulation result schematic diagram.
Specific embodiment
The present invention will be further described in the following with reference to the drawings and specific embodiments.
A kind of emulation mode of EMU rail potential and rail current based on PSCAD, comprising the following steps:
Step 1: dividing part modeling, including traction substation model, Traction networks system model, motor-car group model, insulation joint
Model；
Traction substation model is equivalent using the impedance of ideal power frequency 27.5KV single phase alternating current power supply and series connection with it, and
The ground resistance of certain traction substation is extracted using CDEGS software.
The extraction process of ground resistance is as follows:
S31: according to Traction networks Grounding, traction substation grounded screen structural model, such as Fig. 1 are built by SESCAD
It is shown；
S32: by traction substation view in soil rate input RESAP module (as shown in table 1), electric substation's soil point is obtained
Layer structure, as shown in table 2；
S33: the substation ground web frame model that the obtained soil texture of step S32 and step S31 are obtained imports
MALZ engineering module is extracted and calculates substation ground parameter.
1. traction substation of table is regarded in soil rate
| Interpolar is away from a/m | Apparent resistivity ρ/(Ω m) |
| 90 | 73.513 |
| 70 | 84.446 |
| 50 | 77.283 |
| 30 | 76.152 |
| 20 | 70.623 |
| 10 | 91.358 |
| 5 | 108.385 |
| 3 | 97.829 |
| 2 | 90.981 |
| 1 | 64.340 |
2. soil fertility status of table
| The number of plies | Thickness (m) | Soil resistivity (Ω m) | Reflection coefficient (p.u.) | Resistivity contrast |
| Top layer | 51.01949 | 0.7836760 | -1.0000 | 0.51019e-18 |
| Middle layer | 145.3908 | 2.706792 | 0.48048 | 2.8597 |
| Bottom | 74.27206 | infinite | -0.32376 | 0.51084 |
The process for extracting calculating substation ground parameter is as follows:
S41: choosing a level and grounding body as driving source, its exciting current is arranged as 1000A, in grounded screen
A refurn electrode is arranged in the position of heart 200m；
S42: drawing the line of observation between grounded screen and refurn electrode, and an observation point is arranged every 10m；
S43: setting reference point of potential obtains the current potential between grounded screen horizontal grounding objects application current point and measurement point
Difference takes potential difference to change the smallest observation point, and the potential difference of this point is voltage-to-ground, and voltage-to-ground is with exciting current 1000A's
Ratio, that is, traction substation ground resistance.
Traction networks route in Traction networks system model between traction substation and train load model, which uses, is based on more conducting wires
The chain model of transmission theory is equivalent.Consider to draw network chain type by multiple common section traction network chain type submodels and station section
Submodel is composed in series, and carries out the calculating of conductor parameter for practical AT traction network structure.
The chain model process based on more conductor propagation theories of foundation is as follows:
S11: according to current branch, Traction networks are divided into several series connection subnets；Traction substation, AT institute, subregion institute
Traction networks are divided into the form of several series connection subnets by the current branch formed with locomotive, wherein respectively series connection subnet exists simultaneously
Join branch, such as tractive transformer, locomotive, AT transformer.
S12: parallel multi-conductor transmission lines constitute the series arm in subnet, make section with current branch, between section
Parallel more conducting wires are carried out equivalent with pi-network；It, can be by each branch impedance and admittance m × m rank matrix table after network divides
Show, m is Traction networks parallel conductor number.
S13: being divided into N number of part for Traction networks, is divided into common section and station section, each parallel conductor two-by-two mutual tolerance,
Mutual Inductance Coupling is carried out equivalent by pi-network；Contact net, the rail, protection of sub- Traction networks main track containing uplink and downlink in common section
Line, positive feeder and Through ground wire, totally 10 parallel conductors.Contact net of the sub- Traction networks in station section containing uplink and downlink, rail,
Contact net, rail at protective wire, positive feeder, Through ground wire, and the side line that is connected respectively with uplink and downlink main track, totally 14
Parallel lines.Wherein common section traction network chain type submodel is as shown in Figure 2.
S14: each traction subnet after segmentation is connected by corresponding ports, constitutes overall chain network model.
The calculating process of Traction networks chain model conductor parameter is as follows:
S21: each conductor parameter of AT multiple line tractive power supply system is obtained, as shown in table 3；
S22: it is obtained according to Carson formula equivalent over the ground between the self-impedance equivalent over the ground of overhead line and two conducting wires
Mutual impedance；
Wherein: riFor conducting wire D.C. resistance, reFor the resistance of the earth itself, RεiFor the equivalent redius of conducting wire, dijFor conducting wire i
With the geometric distance between conducting wire j, f is power frequency, DgFor earth equivalent depth, ZiiFor the self-impedance of conducting wire, ZijFor conducting wire
Mutual impedance；
S23: the self-potential FACTOR P of conducting wireiiMutual coefficient of potential P between two conducting wiresijIt is as follows:
In formula: ε0For the dielectric constant of air, riFor the equivalent redius of conducting wire i, hiFor the height of conducting wire i to ground, dijFor
Space length between conducting wire i and conducting wire j, DijFor the mirror image distance between conducting wire i and j.
Each conductor parameter of table 3.AT multiple line tractive power supply system
Motor-car group model, by taking CRH380BL type EMU as an example, using by EMU high-tension cable, Motor train unit body, dynamic
The circuit model that vehicle group working earthing system and four part of EMU protective grounding system are constituted is equivalent, as shown in Figure 3.
Motor-car group model includes the following contents:
High-tension cable carries out equivalence using parameter model is evenly distributed, and high-tension cable core equivalence is resistance-inductance, electricity
There are capacitive couplings between cable core and shielded layer；
The car body equivalence of EMU is concatenated impedance；
Working earthing model includes mobile transformer and grounding carbon brush resistance, and traction current is in the primary of mobile transformer
Side is by EMU grounding carbon brush and ground engaging stabiliser wheel to inflow rail；
Protective grounding model equivalence is the resistance of connection body and rail.
Insulation joint model, train are that realize this process single-phase open circuit can be used in a dynamic process by insulation joint
The event control element that device and ON/OFF breaker are composed is equivalent, as shown in Figure 4.
Step 2: the model that step 1 is constructed is connected by actual electrical couplings relationship；Wherein network chain is drawn in station section
The mode and its car body wheelbase that formula model parameter is grounded referring to CRH380BL type EMU convert.
Specifically includes the following steps:
S51: Traction networks chain model is cut into several traction subnet chain models, including the sub- Traction networks in common section
And the sub- Traction networks in station section, each subnet are connected in series by corresponding port.
S52: traction substation Equivalent Model is by three-winding transformer by multiple line AT power supply mode and traction network chain type mould
Type is connected, i.e., the contact net of uplink and downlink, rail, positive feeder are connected two-by-two respectively, and protective wire is connected with rail, secondary winding
Both ends are separately connected contact net and rail, and tertiary winding both ends are separately connected rail and positive feeder, wherein contact net and positive feeder
It is connected to the different inscription end of transformer.
S53: EMU Equivalent Model passes through working earthing model and protective grounding model and Traction networks chain model simultaneously
Connection, be at tie point it is inductive coupled, carried out using inductive resistance equivalent.
S54: insulation joint Equivalent Model is connected at the rail port of sub- Traction networks chain model, with EMU Equivalent Model
It is in parallel.All modules are as shown in Figure 5 by the EMU-Traction networks overall model obtained after the connection of practical electrical couplings relationship.
Station section Traction networks chain model parameter conversion includes the following:
Referring to each car body wheelbase parameter of CRH380BL type EMU that table 4 provides, station section Traction networks subnet mould is calculated
Type breaking distance, No. 22 axis wheels of vehicle are to central point to No. 73 axis wheels of vehicle between central point are as follows:
d2_7=19.86+24.84 × 4+19.86=139.08m
No. 73 axis wheels of vehicle are to central point to No. 83 axis wheels of vehicle between central point are as follows:
d7_8=2.5+2.48+2.48+2.5+7.44+7.44=24.84m
No. 92 axis wheels of vehicle are to central point to No. 10 2 axis wheels of vehicle between central point are as follows:
d9_10=7.44+7.44+2.5+2.48+2.48+2.5=24.84m
No. 10 3 axis wheels of vehicle are to central point to No. 15 2 axis wheels of vehicle between central point are as follows:
d10_15=4.98+24.84 × 4+4.98=109.32m
The sector being calculated is multiplied with impedance of traction electric network with Distributed capacitance matrix, each traction subnet can be obtained
Electric parameter after conversion.
Each car body wheelbase parameter of table 4.CRH380BL type EMU
Step 3: setting emulation operating condition obtains the distribution of rail potential and electric current.
Emulation operating condition includes having vehicle by having vehicle on cut point insulation joint, a plurality of side line on a side line, and pass through simultaneously
It crosses cut point insulation joint, have vehicle on a plurality of side line, pass through cut point insulation joint in different moments.It is imitated under different operating conditions
Very, the rail potential of different location and rail current are tested, the distribution situation of rail potential and electric current can be obtained.
It can for there is vehicle to be emulated on a side line by this operating condition of cut-out point insulation joint according to the method for the present invention
Rail potential, rail current and cut-out point insulation joint at rail potential, rail current and side line where EMU at main track
The distribution situation of both ends potential difference, respectively as shown in Fig. 6, Fig. 7, Fig. 8, Fig. 9, Figure 10 and Figure 11.From simulation result it can be seen that
When train crosses cut-out point insulation joint, is become attached to due to aerial drainage wheel to connection and save right side rail, increased electric current and flow back to traction power transformation
Path, main track rail voltage and current amplitude increase.And side line rail voltage and current amplitude is due to traction current where train
Shunting and reduce.The simulation result of insulation joint both ends potential difference reflects EMU ground connection aerial drainage wheel and cuts off point insulating to bridging
Three transient processes of section, respectively wheel to before reaching cut-out point, bridging insulation joint both ends rail and leave cut-out point.Due to
Open circuit is equivalent at cut-out point, so its both ends rail potential difference is very big before taking turns to arrival cut-out point.Aerial drainage wheel is exhausted to bridging
Edge section both ends rail is equivalent to short circuit making, therefore almost rapid drawdown is 0V to insulation joint both ends rail potential difference.Traction current exists
Take turns to leave cut-out point insulation joint in a flash by instantaneous trip, and in wheel to leave rail side generate electric arc.Wheel to from
After opening cut-out point, insulation joint both ends rail passes through the car body connection between two adjacent aerial drainage wheels pair.So its potential difference is relative to letting out
Amplitude is gone up in the case that stream is taken turns to bridging insulation joint.
The present invention provides a kind of steel coupled applied to electric railway, AT power supply mode, consideration Traction networks with EMU
The calculation method of rail current potential and rail current.In conjunction with the practical feelings of Traction networks conductor and CRH380BL type EMU electrical structure
Condition has built EMU-Traction networks integration Equivalent Model based on PSCAD software, and the EMU-Traction networks Equivalent Model is detailed
Consider under the ground connection parameter of traction substation, AT power supply mode in Traction networks the capacitive coupling of conductor and it is inductive coupled,
The earthed system of CRH380BL type EMU.Fine Traction networks chain model is considered for the first time and detailed EMU is grounded mould
Coupled relation between type.Using vehicle-net Equivalent Model, to EMU, section is emulated by cut-out point insulation joint AT STATION
Analysis.Not only it is contemplated that the case where single EMU passes through insulation joint, it is further contemplated that cutting when multiple EMU are passed through
The variation of point insulating section both ends potential difference, and then obtain the distribution situation of rail potential and rail current under various working.
Claims (8)
1. a kind of emulation mode of EMU rail potential and rail current based on PSCAD, which is characterized in that including following step
It is rapid:
Step 1: dividing part modeling, including traction substation model, Traction networks system model, motor-car group model, insulation joint model；
Step 2: the model that step 1 is constructed is connected by actual electrical couplings relationship；
Step 3: setting emulation operating condition obtains the distribution of rail potential and electric current.
2. a kind of emulation mode of EMU rail potential and rail current based on PSCAD according to claim 1,
It being characterized in that, Traction networks route is equivalent using the chain model based on more wire transmission theories in the Traction networks system model,
Detailed process is as follows:
S11: according to current branch, Traction networks are divided into several series connection subnets；
S12: parallel multi-conductor transmission lines constitute the series arm in subnet, make section with current branch, parallel between section
More conducting wires are carried out equivalent with pi-network；
S13: being divided into N number of part for Traction networks, is divided into common section and station section, each parallel conductor mutual tolerance, mutual inductance two-by-two
Coupling is carried out equivalent by pi-network；
S14: each traction subnet after segmentation is connected by corresponding ports, constitutes overall chain network model.
3. a kind of emulation mode of EMU rail potential and rail current based on PSCAD according to claim 2,
It is characterized in that, the calculating process of the Traction networks chain model conductor parameter is as follows:
S21: each conductor parameter of AT multiple line tractive power supply system is obtained；
S22: the mutual resistance equivalent over the ground between the self-impedance equivalent over the ground of overhead line and two conducting wires is obtained according to Carson formula
It is anti-；
Wherein: riFor conducting wire D.C. resistance, reFor the resistance of the earth itself, RεiFor the equivalent redius of conducting wire, dijFor conducting wire i with lead
Geometric distance between line j, f are power frequency, DgFor earth equivalent depth, ZiiFor the self-impedance of conducting wire, ZijFor the mutual of conducting wire
Impedance；
S23: the self-potential FACTOR P of conducting wireiiMutual coefficient of potential P between two conducting wiresijIt is as follows:
In formula: ε0For the dielectric constant of air, riFor the equivalent redius of conducting wire i, hiFor the height of conducting wire i to ground, dijFor conducting wire
Space length between i and conducting wire j, DijFor the mirror image distance between conducting wire i and j.
4. a kind of emulation mode of EMU rail potential and rail current based on PSCAD according to claim 1,
It is characterized in that, the motor-car group model in the step 1 includes the following contents:
High-tension cable carries out equivalence using parameter model is evenly distributed, and high-tension cable core equivalence is resistance-inductance, cable
There are capacitive couplings between core and shielded layer；
The car body equivalence of EMU is concatenated impedance；
Working earthing model includes mobile transformer and grounding carbon brush resistance, and traction current is logical in the primary side of mobile transformer
EMU grounding carbon brush and ground engaging stabiliser wheel are crossed to inflow rail；
Protective grounding model equivalence is the resistance of connection body and rail.
5. a kind of emulation mode of EMU rail potential and rail current based on PSCAD according to claim 1,
It is characterized in that, the emulation operating condition in the step 3 includes having vehicle by equal on cut-out point insulation joint, a plurality of side line on a side line
There is vehicle, and simultaneously by having vehicle on cut-out point insulation joint, a plurality of side line, passes through cut-out point insulation joint in different moments.
6. a kind of emulation mode of EMU rail potential and rail current based on PSCAD according to claim 1,
It being characterized in that, electric substation's model is equivalent using the impedance of power frequency 27.5KV single phase alternating current power supply and series connection with it in the step 1,
The ground resistance of traction substation is extracted by CDEGS；
The extraction process of ground resistance is as follows:
S31: according to Traction networks Grounding, traction substation grounded screen structural model is built by SESCAD；
S32: traction substation view is inputted into RESAP module in soil rate, obtains electric substation's soil fertility status；
S33: the substation ground web frame model that the obtained soil texture of step S32 and step S31 are obtained imports MALZ work
Journey module is extracted and calculates substation ground parameter.
7. a kind of emulation mode of EMU rail potential and rail current based on PSCAD according to claim 1,
It is characterized in that, in the step 1 in insulation joint model construction process, is composed using single-phase circuit breaker and ON/OFF breaker
Event control element it is equivalent.
8. a kind of emulation mode of EMU rail potential and rail current based on PSCAD according to claim 6,
It is characterized in that, the process that calculating substation ground parameter is extracted in the step S33 is as follows:
S41: a level and grounding body are chosen as driving source, its exciting current is set, in the position with grounded screen certain distance
Install a refurn electrode；
S42: the line of observation is drawn between grounded screen and refurn electrode；
S43: setting reference point of potential obtains the potential difference between grounded screen horizontal grounding objects application current point and measurement point, takes
Potential difference changes the smallest observation point, and the potential difference of this point is voltage-to-ground, the ratio i.e. traction of voltage-to-ground and exciting current
Substation ground resistance.
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Cited By (2)
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| CN111274754A (en) * | 2020-03-05 | 2020-06-12 | 苏州大学 | Method and system for calculating power supply parameters of rail transit under non-uniform rail insulation condition |
| CN112364476A (en) * | 2020-09-29 | 2021-02-12 | 北京交通大学 | Method for analyzing stray current and track potential characteristics of steel rail backflow |
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Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN111274754A (en) * | 2020-03-05 | 2020-06-12 | 苏州大学 | Method and system for calculating power supply parameters of rail transit under non-uniform rail insulation condition |
| CN111274754B (en) * | 2020-03-05 | 2023-12-15 | 苏州大学 | Track traffic power supply parameter calculation method and system under condition of non-uniform track insulation |
| CN112364476A (en) * | 2020-09-29 | 2021-02-12 | 北京交通大学 | Method for analyzing stray current and track potential characteristics of steel rail backflow |
| CN112364476B (en) * | 2020-09-29 | 2023-09-26 | 北京交通大学 | Method for analyzing stray current and track potential characteristics of steel rail backflow |
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