CN109033627A - A kind of train crosses split-phase vehicle-net-bridge coupling model construction method - Google Patents
A kind of train crosses split-phase vehicle-net-bridge coupling model construction method Download PDFInfo
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Abstract
The present invention proposes that a kind of train crosses split-phase vehicle-net-bridge coupling model construction method, vehicle-net-bridge coupling model of split-phase is crossed based on existing overpass section, overpass is combined to be grounded wideband model when constructing overpass section and crossing phase-separation model, considering other Traction networks conductor currents in addition to contact net conductor also can generate induced voltage in bridge pier circuit, refine the calculation method of Traction networks current supply circuit induced voltage in bridge pier circuit.Overpass section established by the present invention train crosses split-phase vehicle-net-bridge model extension and has refined the overhead bridge portion that overpass section is crossed in phase-separation model, can reflect that comprehensively overpass crosses the influence of split-phase transient process to train, closer to true train operating condition.
Description
Technical field
The present invention relates to electric railway technical field, specially a kind of train crosses the building of split-phase vehicle-net-bridge coupling model
Method.
Background technique
Tractive power supply system realizes the single phase power supply of train by contact net.To improve three-phase imbalance power supply, contact net
Split-phase sectional power supply mode is mostly used, electric phase separation structure is that electrification railway contact net realizes the important of the alternate electrical isolation of phase-
Approach.With the high-power of train, high speed development, high-speed railway automatic passing over of neutral section technology has exposed new electro-magnetic transient and has asked
Topic.It automatically powers off main circuit breaker in electric split-phase since EMU is excessively vehicle-mounted and is in an off state, it is temporary that bullet train crosses split-phase electromagnetism
State makes pantograph collector head generate more serious overvoltage, threatens traffic safety.
The characteristics of Chinese high-speed rail forms interface height in nearly development in 20 years.It is overhead as the main body of high-speed rail route
The electrical safety problems of bridge section tractive power supply system are very important.Research in terms of crossing split-phase for overpass section train,
Has scholar usually using the method for model solution.Wherein, model is established in topology and the parameter determination of electrical ground system
Important step.The Traction networks electrical model having for overpass section often carries out single impedance to overpass electrical grounding
It is equivalent.Since bullet train crosses the overvoltage that split-phase electromagnetic transient generates, there are a large amount of high fdrequency component, overpass ground connection
Reinforcing bar generates apparent kelvin effect.Nonlinear distortion, single equivalent impedance is presented in overpass impedance ground in the process
It cannot reflect the electrical grounding characteristic of overpass.It in addition, there will be the modeling method for crossing split-phase for overpass section train only to examine
The induced voltage that contact net electric current generates on bridge pier circuit is considered, having ignored Traction networks other current in wire, (such as return wire passes through
Logical ground wire) reality of induced voltage can be also generated on bridge pier circuit.In consideration of it, it is necessary to using a kind of meter and overhead bridge joint
The train of ground broadband properties is crossed on the basis of split-phase vehicle-net-bridge coupling model construction method, considers that Traction networks are powered back in more detail
Coupled relation between road and bridge pier circuit, and then split-phase electro-magnetic transient is crossed to overpass section train and carries out accurate emulation point
Analysis.
Summary of the invention
The purpose of the present invention is to provide the trains of a kind of meter and overpass ground connection broadband properties to cross split-phase vehicle-net-bridge coupling
Model building method is closed, which considers the broadband properties of overpass electrical grounding comprehensively；On the basis of existing research in more detail
The coupled relation for considering Traction networks current supply circuit and bridge pier circuit, can be applied to electric railway overpass section, to cross split-phase temporary
The research of state process.Technical solution is as follows:
A kind of train crosses split-phase vehicle-net-bridge coupling model construction method, includes the following steps:
Step 1: building overpass is grounded wideband model:
Complete overpass rebar model is established in software, passes through Software simulation calculation overpass integrated ground system
Frequency characteristic；
The equivalent circuit network of overpass is obtained according to Vector fitting method, it is special according to overpass integrated ground system frequency
Property, parameter fitting is carried out to equivalent circuit network in conjunction with particle swarm algorithm, the specific of overpass ground connection wideband model is calculated
Parameter；
Step 2: establish induced voltage of the controlled source module reflection Traction networks current supply circuit in bridge pier circuit:
Based on Theory of Electromagnetic Field, each conducting wire of Traction networks is equivalent to unlimited long straight conductor；
According to the position distribution and electric current distribution condition of each conducting wire of Traction networks, Traction networks current supply circuit and bridge pier circuit are calculated
Mutual Inductance Coupling coefficient；
With induced voltage of the controlled source reflection Traction networks current supply circuit in bridge pier circuit；
Step 3: building meter and the train of overpass ground connection broadband properties cross split-phase vehicle-net-bridge coupling model:
Cross split-phase vehicle-net coupling model based on existing roadbed section, in conjunction with the overpass be grounded wideband model and by
Control source module building overpass section train crosses split-phase vehicle-net-bridge coupling model.
Further, the frequency characteristic specific method for calculating overpass integrated ground system includes:
Overpass bar construction model is established using the SESCAD module in CDEGS software；
The Injection Current between ground connection model and distal end refurn electrode, and a series of potential measurements are set therebetween
Point obtains the potential drop curve between grounded screen and measurement point position by measurement；
The corresponding measurement point of smooth occurred in the potential drop curve is considered as zero-potential point, is grounded model with respect to the point
Current potential is considered as voltage-to-ground；
The ratio of the voltage-to-ground and Injection Current is the impedance ground value for being grounded model；
The frequency of change Injection Current obtains the impedance frequency characteristic of the overpass electrical grounding of 0~10MHz.
Further, the method for the design parameter that overpass ground connection wideband model is calculated includes:
Approached using the impedance frequency characteristic of overpass integrated ground that Vector fitting method obtains solution, obtain with
The corresponding rational function of impedance frequency；
Approximating function expression formula are as follows:
In formula, cn、pn, d and e be unknown number to be solved；cnAnd pnFor real number or conjugate complex number pair；D and e is real number；f(s)
For known overpass integrated ground system impedance frequency response；S is complex frequency；N indicates single order rational fraction in approximating function
Number, depending on overpass integrated ground impedance frequency characteristic.
Approximating function equivalent circuit includes M routing resistance Rr and the concatenated branch of inductance Lr, and (N-M)/2 routing resistance
Rh, inductance Lh and resistance Gh in parallel and capacitor Ch is concatenated mixes branch, the above road M series arm is mixed with the tunnel (N-M)/2
Branch circuit parallel connection, and simultaneously with resistance R0With capacitor C0It is in parallel；
Then overpass integrated ground system equivalent circuit impedance calculating formula are as follows:
In formula, ω indicates frequency, Y0Indicate R0、C0Shunt admittance, YiIndicate all RrWith LrThe parallel connection of series arm is led
It receives, YjIndicate all Rh、Lh、Ch、GhThe shunt admittance of branch is mixed, Z indicates equivalent circuit impedance；K in subscript indicates kth road
Branch.
The adaptive value of current particle is compared with target adaptive value in each iterative process of particle swarm algorithm, adaptive value
Function is as follows:
Si=(real (Zmm (i)-real (z (i)))2+(imag(Zmm(i)-imag(z(i)))2
In formula, Zmm (i) is impedance frequency response, is represented under different frequency by the obtained earthed system of CDEGS software
Impedance value；Z (i) represents the calculated resistance value of current particle institute in particle swarm algorithm, is with original part parameter each in equivalent circuit
Value is the function of variable；SiRepresent under certain frequency, under impedance value calculated by current particle and the frequency real part of impedance value with
The quadratic sum of imaginary part difference；S represents S under each frequencyiSum, impedance value be the plural number containing imaginary part；
Being equal to zero with adaptive value is optimization aim, finds out effective solution.
Further, the calculating Traction networks current supply circuit and the method for bridge pier circuit Mutual Inductance Coupling coefficient include:
In the direct power supply system with return wire, induced flux of the contact line in viaduct pier circuit is indicated
Are as follows:
In formula, μ0Represent magnetic conductivity；d1Be contact line with respect to ground level, h be under overpass bridge floor with respect to ground level,
k1For the current division ratio of contact line JW, I is load current, and l is line length corresponding on overpass；
Similarly, carrier cable, rail, Through ground wire and return wire the induced flux φ in viaduct pier circuit1、φ2、
φ3、φ4It is respectively as follows:
In formula, d2、d3、d4、d5Respectively carrier cable, rail, Through ground wire and return wire are with respect to ground level；k2、k3、
k4、k5The respectively current division ratio of carrier cable, rail, Through ground wire and return wire；
Determine magnetic flux positive direction, then the magnetic-flux meter passed by bridge pier circuit is shown as:
Φ=- Φ1-Φ2+Φ3+Φ4+Φ5
Therefore, the Mutual Inductance Coupling coefficient of current supply circuit and bridge pier circuit are as follows:
The beneficial effects of the present invention are: the invention proposes the trains of a kind of meter and overpass ground connection broadband properties to cross split-phase
Vehicle-net-bridge coupling model construction method, since overpass ground rebar can be generated in the case where crossing split-phase transient overvoltage high fdrequency component
Kelvin effect, this method cross the wideband model that phase-separation model considers overpass electrical grounding in building overpass section for the first time；Together
When, according to the specific coupling condition of Traction networks current supply circuit and bridge pier circuit, the present invention is in each current in wire of Traction networks in bridge pier
The induced voltage that contact net electric current can generate on bridge pier circuit is not only allowed in circuit in the calculation method of induced voltage,
The reality of induced voltage can also be generated on bridge pier circuit by considering Traction networks other current in wire (such as return wire, Through ground wire)
Border.Model extension established by the present invention and the overhead bridge portion that overpass section is crossed in phase-separation model is refined, it can be comprehensively anti-
The influence that overpass crosses train split-phase transient process is reflected, closer to actual operating mode.
Detailed description of the invention
Fig. 1 is overpass bar construction schematic diagram.
Fig. 2 is potential drop method measurement of Grounding Resistance schematic diagram.
Fig. 3 is approximating function equivalent circuit.
Fig. 4 is viaduct pier Distribution of Magnetic Field figure.
Fig. 5 is direct feeding system with return wire formula contact net Traction networks cross section.
Fig. 6 be meter and overpass ground connection broadband properties train cross split-phase vehicle-net-bridge coupling model.
Fig. 7 is excessive phase voltage simulation waveform of the invention.
Specific embodiment
The present invention is described in further details in the following with reference to the drawings and specific embodiments.It is with reference to the accompanying drawing and specific real
Example is applied to be elaborated further the present invention.
The present invention is based on existing trains to cross split-phase vehicle-net coupling model, refines and extends overpass section and cross split-phase
Overhead bridge portion in model: according to the broadband properties of overpass electrical grounding, building overpass is grounded wideband model.Meanwhile
According to Traction networks current supply circuit and bridge pier circuit specific coupling condition, the present invention consider in addition to contact net conductor other lead
Drawing net conductor current also can generate induced voltage in bridge pier circuit, and refinement calculates the Mutual Inductance Coupling system of current supply circuit and bridge pier circuit
Number.The following steps are included:
Step 1: building overpass is grounded wideband model.
(1) frequency characteristic of overpass impedance ground is obtained:
When bullet train operated in split-phase transient operating mode, supply conductor voltage current harmonics frequency reaches as high as 1GHz.It leads
Drawing power supply system, there are metallic conductors when high fdrequency component to generate apparent kelvin effect, and impedance is in nonlinear distortion.Existing height
Bridge train crosses phase-separation model and overpass is equivalent to single impedor, cannot reflect the electrical grounding of overpass under high frequency
Characteristic.
When this method models overpass electrical grounding, consider that all non-prestressed structure reinforcing bars participate in ground connection and let out
The case where stream.It is densely distributed since the non-prestressed structure reinforcing bars quantity of overpass is more.It is limited to the operational capability of simulation software
And the speed of service, non-prestressed structure reinforcing bars all to overpass carry out Holistic modeling and are difficult to realize, need to carry out simplifying processing.Root
It is different according to non-prestressed structure reinforcing bars position, the tie point in reinforcing bar network can be divided into unreachable node and can and node.
Can and node include viaduct pier, box beam, the tie point between cushion cap three parts and three parts reinforcing bar network surface
The tie point of reinforcing bar.Unreachable node includes the inside reinforcing bar tie point of box beam, bridge pier, cushion cap and foundation pile.According to open circuit suppression
Principle processed, model Whole Response is constant when removing unreachable node.
According to principles above, overpass bar construction model such as attached drawing 1 is established using the SESCAD module in CDEGS software
It is shown.The dimensional structure of model is arranged according to the overpass of Tianjin Baoding high-speed rail.Overpass cushion cap is connected to nine pile bases, overhead
Bridge bridge pier overall length 40m, bridge pier are 12.5m in ground above section height, and resistivity is 19.6 Ω m around soil.
Potential drop method can be used to acquire overpass model impedance ground for the SESCAD module simulation soil environment of the earth.
Fall-of-potential method schematic diagram is as shown in Fig. 2.The Injection Current between ground connection model and distal end refurn electrode, and set therebetween
A series of potential measurement points are set, the potential drop curve between grounded screen and measurement point position is obtained by measurement.Go out in the curve
The corresponding measurement point of existing smooth is considered as zero-potential point, is grounded model with respect to the current potential and is considered as voltage-to-ground.The voltage
Ratio with Injection Current is the impedance ground value for being grounded model.
According to the above method, change Injection Current frequency obtain 0~10MHz overpass electrical grounding impedance frequency
Characteristic.
(2) building overpass is grounded equivalent circuit wideband model:
Overpass integrated ground system can be used as the processing of passive linear time-varying system, therefore can pass through rational function approximation
Method establishes time-domain equivalent circuit model.Impedance frequency domain response generallys use Vector fitting method and carries out rational approximations.
Vector fitting method is a kind of function approximation method, the overpass integrated ground obtained using Vector fitting method to solution
The impedance frequency characteristic of system, which approach, can get rational function corresponding with impedance frequency.Approximating function expression formula is shown in formula
(1):
In formula, cn、pn, d and e be unknown number to be solved；cnAnd pnFor real number or conjugate complex number pair；D and e is real number；f(s)
It is in the present invention overpass integrated ground system impedance frequency response for known frequency response；S is complex frequency；N expression is forced
The number of single order rational fraction in nearly function, depending on overpass integrated ground impedance frequency characteristic.
According to network synthesis theory, typical RLCG network equivalent is can be used in approximating function, as shown in Fig. 3.
The basic principle of particle swarm algorithm is to be searched for most by cooperation between individual each among group with information sharing
Excellent target.Its essence is a kind of random search algorithm, and there is global optimizing ability may be implemented by the setting of algorithm parameter
The function of Vector fitting method is realized in the fitting of impedance frequency characteristic.Particle swarm algorithm also has iteration speed fast, simple simultaneously
Easy, the advantages that search capability is strong.The present invention is wide using the overpass integrated ground based on Vector fitting method and particle swarm algorithm
Frequency modeling, initial pole that no setting is required in modeling process, easily acquires precise results.
The topology of approximating function equivalent circuit shown in 3 with reference to the accompanying drawings, including M routing resistance Rr and the concatenated branch of inductance Lr,
And (N-M)/2 routing resistance Rh, inductance LhWith resistance G in parallelhWith capacitor ChConcatenated mixing branch, the above road the M series connection branch
Road and (N-M)/2 tunnel mixing branch circuit parallel connection, and simultaneously with resistance R0With capacitor C0It is in parallel；According to network synthesis theory, obtained height
Bridge formation integrated ground system equivalent circuit impedance calculating formula is shown in formula (2).
In formula, ω indicates frequency, Y0Indicate R0、C0Shunt admittance, YiIndicate that all Rr are led with the in parallel of Lr series arm
It receives, YjIndicate all Rh、Lh、Ch、GhThe shunt admittance of branch is mixed, Z indicates equivalent circuit impedance.
The adaptive value of current particle is compared with target adaptive value in each iterative process of particle swarm algorithm.Adaptive value
Function is as follows:
Si=(real (Zmm (i)-real (z (i)))2+(imag(Zmm(i)-imag(z(i)))2 (3)
In formula, Zmm (i) is impedance frequency response, is represented under different frequency by the obtained earthed system of CDEGS software
Impedance value；Z (i) represents the calculated resistance value of current particle institute in particle swarm algorithm, is with original part parameter each in equivalent circuit
Value is the function of variable；SiRepresent under certain frequency, under impedance value calculated by current particle and the frequency real part of impedance value with
The quadratic sum of imaginary part difference；S represents S under each frequencyiSum, impedance value be the plural number containing imaginary part.Using real part and imaginary part square
The form of sum as adapt to value function can Impedance of reflection amplitude and argument.
It is excellent for being equal to zero (impedance value i.e. under different frequency is equal with CDEGS software impedance value calculated) with adaptive value
To change target, incorporating parametric reality and arithmetic speed, particle value range is set as [0,500], maximum number of iterations is set as 4000,
Number of particles is set as 100.By comparing different rank equivalent circuit fitting result, discovery adaptive value as M=4 and N=8 is
0.3081, it is approximately equal to zero, it is believed that find out effective solution.The value of M and N are further increased later, and discovery adaptive value subtracts by a small margin
It is small and runing time relative increase, circuit model are further complicated.Therefore M=4, N=8 are considered as the suitable of equivalent circuit herein
Order.Each parameter value of circuit is shown in Table 1.
1 Equivalent Circuit Parameter calculated result of table
Step 2: establishing induced voltage of the controlled source module reflection Traction networks current supply circuit in bridge pier circuit.
Multiple mesh are constituted under overpass between bridge pier, reinforcing bar and the integrated ground line of bridge link together, bridge lower part
It is divided to two mesh to share a bridge pier again.Adjacent bridge pier, integrated geophysics, the earth form closed circuit.It is contacted on the circuit and bridge
There are electrical couplings between line current supply circuit, form electric current in the loop, and two in the same circuit bridge pier size of current is equal, square
To on the contrary, the electric current on adjoining cells bridge pier is cancelled out each other, therefore multiple mesh under split phase segment can be equivalent to one
Big mesh, as shown in Fig. 4.
Current supply circuit and bridge pier are calculated according to Traction networks arrangement of conductors situation under different power supply modes and current division ratio
The Mutual Inductance Coupling coefficient in circuit.The calculating of Mutual Inductance Coupling coefficient is illustrated by taking the direct power supply system with return wire as an example.Band
The cross section face of the direct power supply system of return wire is as shown in Fig. 5
Assuming that the current division ratio of contact line JW, carrier cable CW, rail R, Through ground wire EW, return wire NW are respectively
k1、k2、k3、k4、k5, opposite ground level is respectively d1、d2、d3、d4、d5.Bridge floor is h with respect to ground level under overpass.It will be each
Traction networks conducting wire is equivalent to unlimited long straight conductor.If load current is I, corresponding line length is l on overpass.According to electricity
Magnetic field theory, induced flux of the contact line in viaduct pier circuit can indicate are as follows:
In formula, μ0Represent magnetic conductivity.
Carrier cable, rail, Through ground wire the induced flux φ in viaduct pier circuit can similarly be obtained1、φ2、φ3、
φ4It is respectively as follows:
Choosing the vertical outside method of paper in attached drawing 4 is magnetic flux positive direction, and the magnetic flux passed by bridge pier circuit can be with table
It is shown as:
Φ=- Φ1-Φ2+Φ3+Φ4+Φ5 (7)
Therefore, the Mutual Inductance Coupling coefficient of current supply circuit and bridge pier circuit are as follows:
Bridge floor under overpass is taken to be taken back with respect to ground level h=6m according to scene reality and existing calculated result, single line
The streamline typical current distribution of tractive power supply system of directly powering is as shown in table 2.
Each conducting wire initial parameter of direct tractive power supply system of 2 single line of table with return wire and position
A, B two-phase power supply arm lengths take 25km, and neutral segment length takes 320m, and length of transition zone takes 95m, available: supplying
Contact net circuit and bridge pier circuit mutual inductance M under electric armA=MB=1.9mH, the coupling mutual inductance M under neutral sectionZFor 0.20428mH.
According to Faraday's law, induced electromotive force E that Traction networks electric current generates in bridge pier circuit are as follows:
It is crossed in split-phase vehicle-net-bridge coupling model in overpass, current supply circuit induced voltage in bridge pier circuit under overpass
It can be indicated by equivalent controlled source U=j ω MI.The mutual inductance coupling of direct feeding system and AT power supply mode current supply circuit and bridge pier circuit
Collaboration number calculating method is similar with the above method.
Step 3: building meter and the train of overpass ground connection broadband properties cross split-phase vehicle-net-bridge coupling model.
Split-phase vehicle-net coupling model is crossed based on existing roadbed section, it is wide in conjunction with the overpass ground connection established in step 1
The controlled source module building overpass section train established in frequency model and step 3 crosses split-phase vehicle-net-bridge coupling model, such as attached
Shown in Fig. 6.
In conjunction with tractive power supply system actual conditions, each parameter in coupling model is calculated.By the model in PSCAD software
It is built, obtains overpass section train and cross split-phase bow voltage waveform, as shown in Fig. 7.Compared to existing overhead bridge
Section crosses phase-separation model, and the train that meter and overpass are grounded wideband model is crossed split-phase vehicle-net-bridge and coupled more close to the practical fortune of train
Row operating condition, the electromagnetic transient problems that split-phase is crossed to solve bullet train provide certain reference.
Claims (4)
1. a kind of train crosses split-phase vehicle-net-bridge coupling model construction method, which comprises the steps of:
Step 1: building overpass is grounded wideband model:
Complete overpass rebar model is established in software, passes through the frequency of Software simulation calculation overpass integrated ground system
Characteristic；
The equivalent circuit network of overpass is obtained according to Vector fitting method, according to overpass integrated ground system response,
Parameter fitting is carried out to equivalent circuit network in conjunction with particle swarm algorithm, the specific of overpass ground connection wideband model is calculated
Parameter；
Step 2: establish induced voltage of the controlled source module reflection Traction networks current supply circuit in bridge pier circuit:
Based on Theory of Electromagnetic Field, each conducting wire of Traction networks is equivalent to unlimited long straight conductor；
According to the position distribution and electric current distribution condition of each conducting wire of Traction networks, Traction networks current supply circuit and the mutual inductance of bridge pier circuit are calculated
The coefficient of coup；
With induced voltage of the controlled source reflection Traction networks current supply circuit in bridge pier circuit；
Step 3: building meter and the train of overpass ground connection broadband properties cross split-phase vehicle-net-bridge coupling model:
Split-phase vehicle-net coupling model is crossed based on existing roadbed section, is grounded wideband model and controlled source in conjunction with the overpass
Module building overpass section train crosses split-phase vehicle-net-bridge coupling model.
2. train according to claim 1 crosses split-phase vehicle-net-bridge coupling model construction method, which is characterized in that the meter
Calculate overpass integrated ground system frequency characteristic specific method include:
Overpass bar construction model is established using the SESCAD module in CDEGS software；
The Injection Current between ground connection model and distal end refurn electrode, and a series of potential measurement points are set therebetween, lead to
It crosses measurement and obtains the potential drop curve between grounded screen and measurement point position；
The corresponding measurement point of smooth occurred in the potential drop curve is considered as zero-potential point, is grounded model with respect to the current potential
It is considered as voltage-to-ground；
The ratio of the voltage-to-ground and Injection Current is the impedance ground value for being grounded model；
The frequency of change Injection Current obtains the impedance frequency characteristic of the overpass electrical grounding of 0~10MHz.
3. train according to claim 2 crosses split-phase vehicle-net-bridge coupling model construction method, which is characterized in that the meter
Calculating the method for obtaining the design parameter of overpass ground connection wideband model includes:
It is approached using impedance frequency characteristic of the Vector fitting method to the overpass integrated ground that solution obtains, acquisition and impedance
The corresponding rational function of frequency；
Approximating function expression formula are as follows:
In formula, cn、pn, d and e be unknown number to be solved；cnAnd pnFor real number or conjugate complex number pair；D and e is real number；F (s) is
The overpass integrated ground system impedance frequency response known；S is complex frequency；N indicates of single order rational fraction in approximating function
Number, depending on overpass integrated ground impedance frequency characteristic；
Approximating function equivalent circuit includes M routing resistance Rr and the concatenated branch of inductance Lr, and (N-M)/2 routing resistance Rh,
Inductance Lh and resistance Gh in parallel and capacitor Ch be concatenated to mix branch, the above road M series arm and (N-M)/2 tunnel mixing branch
Parallel connection, and simultaneously with resistance R0With capacitor C0It is in parallel；
Then overpass integrated ground system equivalent circuit impedance calculating formula are as follows:
In formula, ω indicates frequency, Y0Indicate R0、C0Shunt admittance, YiIndicate the shunt admittance of all Rr Yu Lr series arm, Yj
Indicate all Rh、Lh、Ch、GhThe shunt admittance of branch is mixed, Z indicates equivalent circuit impedance；K in subscript indicates kth road branch
Road；
The adaptive value of current particle is compared with target adaptive value in each iterative process of particle swarm algorithm, adapts to value function
It is as follows:
Si=(real (Zmm (i)-real (z (i)))2+(imag(Zmm(i)-imag(z(i)))2
In formula, Zmm (i) is represented under different frequency by the obtained earthed system impedance value of CDEGS software；Z (i) represents particle
The calculated resistance value of current particle institute, is using original part parameter value each in equivalent circuit as the function of variable in group's algorithm；SiGeneration
Under table frequency, the quadratic sum of the real part of impedance value and imaginary part difference under impedance value calculated by current particle and the frequency；S is represented
S under each frequencyiSum, impedance value be the plural number containing imaginary part；
Being equal to zero with adaptive value is optimization aim, finds out effective solution.
4. train according to claim 1 crosses split-phase vehicle-net-bridge coupling model construction method, which is characterized in that the meter
It calculates Traction networks current supply circuit and the method for bridge pier circuit Mutual Inductance Coupling coefficient includes:
In the direct power supply system with return wire, induced flux of the contact line in viaduct pier circuit is indicated are as follows:
In formula, μ0Represent magnetic conductivity；d1It is contact line with respect to ground level, h is bridge floor under overpass with respect to ground level, k1It connects
The current division ratio of line JW is touched, I is load current, and l is line length corresponding on overpass；Similarly, carrier cable, steel
Rail, Through ground wire and return wire the induced flux φ in viaduct pier circuit1、φ2、φ3、φ4It is respectively as follows:
In formula, d2、d3、d4、d5Respectively carrier cable, rail, Through ground wire and return wire are with respect to ground level；k2、k3、k4、k5Point
Not Wei carrier cable, rail, Through ground wire and return wire current division ratio；
Determine magnetic flux positive direction, then the magnetic-flux meter passed by bridge pier circuit is shown as:
Φ=- Φ1-Φ2+Φ3+Φ4+Φ5
Therefore, the Mutual Inductance Coupling coefficient of current supply circuit and bridge pier circuit are as follows:
。
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| CN111276975A (en) * | 2020-03-13 | 2020-06-12 | 湖南工业大学 | Circuit and method for inhibiting overvoltage and harmonic wave generated by locomotive passing neutral section |
| CN112257141A (en) * | 2020-09-24 | 2021-01-22 | 合肥工业大学 | Electromagnetic transient simplified modeling method for high-speed railway viaduct pier lightning stroke |
| CN112257141B (en) * | 2020-09-24 | 2021-05-14 | 合肥工业大学 | Electromagnetic transient simplified modeling method for high-speed railway viaduct pier lightning stroke |
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