CN107391814A - A kind of Traction networks EMUs modeling method for high ferro yard - Google Patents
A kind of Traction networks EMUs modeling method for high ferro yard Download PDFInfo
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Abstract
The invention discloses a kind of Traction networks EMUs modeling method for high ferro yard, is specially：Model buildings are carried out to EMUs each several part, high-speed railway yard Traction networks design feature is analyzed, builds detailed Traction networks, rail and traction substation equivalent-circuit model；Based on the Traction networks and motor-car group model built, according to different operating condition design and simulations of the EMUs in yard, the electric parameter transient changing situation of corresponding operating condition is obtained.The present invention the more accurately EMUs operating condition in analog simulation high ferro yard, and then convenient test, optimizes operational factor by establishing high ferro yard Traction networks EMUs equivalent-circuit model.
Description
Technical field
The present invention relates to electric railway EMUs safe operation technical field, and in particular to a kind of for high ferro yard
Traction networks-EMUs modeling method.
Background technology
With greatly developing for high-speed railway, EMUs safe and stable operation has become people's focus.EMUs
Transient Electromagnetic Phenomena in running, which has, much all to be occurred in high-speed railway yard, such as EMUs rising bow operating mode, drop bow
Operating mode, cross backflow cut-out point etc..EMUs car body voltage when operating mode is bent in lifting occurs that moment skyrockets, and can also produce between bow net
Electric arc, if protective grounding mode is unreasonable, the fluctuation of car body voltage and the skewness of each section car body potential will be caused.
Car body is not only the ground reference of onboard electrical electronic equipment, and the current by pass of protective grounding, car body electricity
The fluctuation of pressure easily interferes to weak current equipment on car, punctures sensor, potential safety hazard is brought to train operation.Motor train unit wheel pair
Instantaneous UNICOM and the insantaneous break of electric current occur when crossing and flowing back cut-out point, high intensity electric arc may be triggered.Site inspection, electric arc
It can cause the scaling loss of rail head of rail at insulation of track circuit section, shorten rail service life, influence train operating safety, and
Repeatedly found in domestic high ferro yard.
Due to extremely difficult in the on-the-spot test of high ferro operation condition undertissue, and directly test in car body overvoltage and rail
Electric current also do not possess feasibility, therefore be to obtain electric parameter transient state in EMUs operating condition with simulation model analytic approach
The important means of situation of change.Pessimistic concurrency control is drawn in existing car-net coupling model to be substantially for general distribution section institute
Establish, it is special for high ferro yard Traction networks for the more accurately EMUs operating condition in analog simulation high ferro yard
It is very necessary that point, which establishes yard Traction networks-motor-car group model in detail,.
The content of the invention
The technical problems to be solved by the invention are to provide a kind of Traction networks-EMUs modeling side for high ferro yard
Method, detailed high ferro yard Traction networks-EMUs simulation model, simulation high ferro station are built with MATLAB/Simulink softwares
EMUs operating condition in, and then convenient test, optimize operational factor.
In order to solve the above technical problems, the technical solution adopted by the present invention is：
A kind of Traction networks-EMUs modeling method for high ferro yard, comprise the following steps：
Step 1：EMUs equivalent-circuit model is built, the EMUs equivalent-circuit model includes EMUs high-tension electricity
Cable, Motor train unit body, EMUs working earthing system and EMUs protective grounding system；
Step 2：Traction networks, rail and traction substation equivalent-circuit model are built, Traction networks are in high-speed railway yard
Main track adds corresponding contact line and rail using full autotransformer feeding system in parallel on side line；
Traction pessimistic concurrency control is emulated using link circuit model；According to traction substation, station, EMUs, self coupling
Transformer and subregion position, traction pessimistic concurrency control is divided into the sub-network model of multiple series connection；To each subnet model, π is utilized
Type network reflects the inductive coupled and capacitive coupling of each conductor；
Step 3：Yard Traction networks model each several part parameter is calculated, it is theoretical with reference to multi-conductor transmission lines, by enumerating impedance
With admittance matrix, matrix reduction and matrixing, determine each conductor perception and capacitive coupling parameter；
Step 4：Based on the Traction networks and motor-car group model built, according to EMUs operating condition design and simulation, phase is obtained
Answer the electric parameter transient changing situation of operating condition.
Further, the step 3 is specially：It is parallel by two by the way that contact line and carrier cable are merged into contact net
Rail is merged into a rail and realizes matrix reduction；
In the calculating of impedance parameter, n × n impedance matrixes are listed, i.e.,：
Wherein, uiRefer to the pressure drop at unit length conductor both ends, iiRefer to the electric current for flowing through conductor；Utilize using the earth as loop
Aerial condutor impedance computation formula is the self-impedance Z that Carson formula determine traction conductor in formula (1)iiWith mutual impedance Zij；
In formula (2), riIt is conductor i self-impedance, reIt is the earth self-impedance, DgIt is the equivalent depth of the earth, σ is the earth conductance
Rate, f are frequencies；RεiIt is conductor i equivalent redius, dijIt is the distance between conductor i and conductor j；
Assuming that contact net, contact line, carrier cable, merge rail and two parallel steel rails in electric current be respectively iT,iC,iJ,
iR,iA,iB, the voltage accordingly led is uT,uC,uJ,uR,uA,uB, with reference to Traction networks actual conditions, uC=uJ=uT,uR=uA+uB,
iT=iC+iJAnd iR=iA+iBTo the impedance matrix depression of order shown in formula (1)；
In capacitance parameter calculating, antecedent write potential coefficient matrix, then arrangement of conductors is produced to coefficient of potential matrix inversion
Capacitance coefficient matrix；N × n coefficient of potential matrix is listed, i.e.,：
uiFor conductor i unit length voltage drop, qiInstruct body i unit length electricity, conductor i self-potential coefficient Zii
And conductor i and conductor j mutual coefficient of potential ZijIt is calculated according to formula (4)；
In formula (4), ε0It is dielectric constant of air, riIt is conductor i equivalent redius, hiIt is height, d between conductor i and groundij
It is distance between conductor i and conductor j, DijIt is the mirror image distance between conductor i and conductor j；Assuming that contact net, contact line, carrier cable, conjunction
And rail and the electricity of two parallel steel rails be qT,qC,qJ,qR,qA,qB, the voltage of respective conductors is uT,uC,uJ,uR,uA,uB,
According to qT=qC+qJ,qR=qA+qB,uC=uJ=uTAnd uR=uA+uBThe coefficient of potential matrix reduction of formula (4) is handled.
Compared with prior art, the beneficial effects of the invention are as follows：In the detailed high ferro of MATLAB/Simulink platform buildings
Yard Traction networks-EMUs simulation model, this method is by establishing detailed high ferro yard Traction networks-EMUs equivalent circuit mould
Type, the more accurately EMUs operating condition in analog simulation high ferro yard, and then convenient test, optimizes operational factor.
Brief description of the drawings
Fig. 1 is EMUs each several part model schematic.
Fig. 2 is yard main track, side line distribution and corresponding traction electric network feeding system schematic diagram.
Fig. 3 is common section and yard section Traction networks chain model schematic diagram.
Fig. 4 is Wuxi station side track schematic diagram.
Fig. 5 is CRH380BL EMUs electrical structure schematic diagrams.
Fig. 6 is yard Traction networks and EMUs model schematic.
Fig. 7 is wheel to crossing electric parameter situation of change in isolated rail joint cut-out point complete procedure.
Embodiment
The present invention is described in further detail with reference to the accompanying drawings and detailed description.
Step 1：EMUs electrical structure is analyzed, builds EMUs equivalent-circuit model, makes a concrete analysis of and is：EMUs are normal
During operation, pantograph introduces contact net voltage the high-tension cable positioned at roof, and transmits to mobile transformer.In vehicle-mounted variable pressure
The primary side of device, traction current enter ground by EMUs working earthing system, axletree ground terminal case and grounding carbon brush.Except work
Ground connection is outer, and protective grounding is provided with some car bodies.Based on above electrical principle and structure, the EMUs equivalent circuit mould established
Type is mainly by EMUs high-tension cable, Motor train unit body, EMUs working earthing system and EMUs protective grounding system four
Divide and form, each several part model is shown in accompanying drawing 1.According to the design feature for the specific vehicle studied, modules are assembled, its
In the main car body quantity for considering different automobile types, working earthing position, protective grounding position, protective grounding mode etc..Inhomogeneity
The model parameter of type EMUs is depending on specific test result.
Step 2：Yard Traction networks design feature is analyzed, builds Traction networks, rail and traction substation equivalent circuit mould
Type, Traction networks, using full auto-transformer (AT) power supply mode in parallel, with the addition of phase in high-speed railway yard main track on side line
The contact line and rail answered, as shown in Figure 2.For drawing pessimistic concurrency control, because each wire is parallel to each other, using link circuit mould
Type emulates to it.According to traction substation, station, EMUs, auto-transformer (ATS) and the position of subregion institute (SPS),
Traction pessimistic concurrency control can be divided into the sub-network model of multiple series connection.Meanwhile many elements also be present in these sub-network models
Connect different wires, including traction substation, EMUs, ATS, SPS, transverse connecting line etc..For each subnet model, profit
Reflect the inductive coupled and capacitive coupling of each conductor with pin network.
On common section as shown in Figure 3 in Traction networks link circuit model, Tin1, Rin1, Pin1, Fin1 and
Tin2, Rin2, Pin2, Fin2 represent contact net, rail, protective wire, the input port of positive feeder of up-downlink direction respectively,
Tout1, Rout1, Pout1, Fout1 and Tout2, Rout2, Pout2, Fout2 represent the contact net of up-downlink direction, steel respectively
Rail, protective wire, the output port of positive feeder.In station Traction networks link circuit model as shown in Figure 3, with general distribution
Section traction pessimistic concurrency control is compared, and other contact net and rail are with the addition of in side line up-downlink direction.Wherein, Tin3, Rin3 and
Tin4, Rin4 represent corresponding input port respectively；Tout3, Rout3, Tout4, Rout4 represent corresponding wire output end
Mouthful.
Step 3：Yard Traction networks model each several part parameter is calculated, it is theoretical with reference to multi-conductor transmission lines, by enumerating impedance
With admittance matrix, matrix reduction and matrixing, determine each conductor perception and capacitive coupling parameter.Matrix reduction be pass through by
Contact line and carrier cable merge into contact net and two parallel steel rails are merged into what a rail was realized.
In the calculating of impedance parameter, formula (1) lists n × n impedance matrixes first, wherein, uiRefer to unit length conductor
The pressure drop at both ends, iiRefer to the electric current for flowing through conductor.Oneself of the middle traction conductor of formula (1) is determined using widely used Carson formula
Impedance ZiiWith mutual impedance Zij。
In formula (2), riIt is conductor i self-impedance；reIt is the earth self-impedance, 0.049 Ω of value/km during general power frequency；DgIt is
Greatly equivalent depth, typically take 930m, and corresponding earth conductivity σ=10-4/(Ω·cm)；F is frequency；RεiIt is conductor i
Equivalent redius；dijIt is the distance between conductor i and conductor j.
Assuming that contact net, contact line, carrier cable, merge rail and two parallel steel rails in electric current be respectively iT,iC,iJ,
iR,iA,iB, the voltage of respective conductors is uT,uC,uJ,uR,uA,uB, with reference to Traction networks actual conditions, uC=uJ=uT,uR=uA+
uB,iT=iC+iJAnd iR=iA+iBIt can be considered to the impedance matrix depression of order shown in formula (1).
During capacitance parameter calculates, antecedent write potential coefficient matrix, then arrangement of conductors electricity is produced to coefficient of potential matrix inversion
Hold coefficient matrix.Formula (3) lists n × n coefficient of potential matrix, uiFor conductor i unit length voltage drop, qiInstruct body i's
Unit length electricity.Conductor i self-potential coefficient ZiiAnd conductor i and conductor j mutual coefficient of potential ZijCalculated according to formula (4)
Arrive.
In formula (4), ε0Dielectric constant of air, i.e. 8.854 × 10-9 (F/km)；riIt is conductor i equivalent redius；hiIt is
Height between conductor i and ground；dijIt is distance between conductor i and conductor j；DijIt is the mirror image distance between conductor i and conductor j.Equally,
Assuming that contact net, contact line, carrier cable, the rail merged and the electricity of two parallel steel rails are qT,qC,qJ,qR,qA,qB, accordingly lead
The voltage of body is uT,uC,uJ,uR,uA,uB, according to qT=qC+qJ,qR=qA+qB,uC=uJ=uTAnd uR=uA+uBTo formula (4)
The processing of coefficient of potential matrix reduction.
Step 4：Based on the yard Traction networks and motor-car group model built, can be occurred with analogue simulation EMUs in yard
Operating condition, obtain electric parameter transient changing situation.
The inventive method and effect are illustrated below by instantiation.
Deploy case study exemplified by selection Beijing-Shanghai express railway Wuxi station and CRH380BL type EMUs, Wuxi station yard distribution is shown
Intention is shown in accompanying drawing 4, and the electrical structure illustraton of model of CRH380BL type EMUs is shown in accompanying drawing 5, led what MATLAB/Simulink was built
Draw net-motor-car group model and see accompanying drawing 6, divided yard Traction networks chain model according to EMUs earthing position and yard line length
For the submodel of multiple series connection.
Choose process of the aerial drainage wheel to the internal cutting off point insulating section that misses the stop that CRH380BL types EMUs are located at No. 15 car body
Method in present example is verified.Assuming that EMUs are outbound along direction from left to right by 3G station tracks, accompanying drawing 4 provides
The position of yard sector length and 3G station tracks insulation joint cut-out point.Accompanying drawing 7 is the wheel of analogue simulation to crossing rail insulation
Electric parameter situation of change in the complete procedure of cut-out point is saved, i represents rail traction current on the right side of insulation joint cut-out point, and u is represented
The voltage at insulation joint cut-out point both ends.From accompanying drawing it can be seen that, take turns to bridging backflow cut-out point at isolated rail joint before, i
It is sine wave for 0, u；Then take turns to starting the isolated rail joint at bridging backflow cut-out point in 0.004s and shunting a part to lead
Draw electric current, now u changes to almost nil.Electric arc appears in 0.0045s wheels to leaving that time of rail on the left of cut-out point, and
Continue 0.005s, because electric arc occurs, electric current and voltage all distort.
After arc extinction, voltage and current gradually recovers sine wave, and i represents that the traction from 15TB aerial drainage wheel to shunting is returned
Stream, traction substation is flowed back to from cut-out point right side, 2TB, 7TB, 10TB aerial drainage wheel are left from cut-out point to the traction current of shunting
Effluent returns to traction substation.Through analysis it can be found that the simulation model that the present invention is established can effectively analyze motor train unit wheel
The situation of change of electric parameter during to crossing isolated rail joint cut-out point.
Claims (2)
1. a kind of Traction networks-EMUs modeling method for high ferro yard, it is characterised in that comprise the following steps：
Step 1：EMUs equivalent-circuit model is built, the EMUs equivalent-circuit model includes EMUs high-tension cable, moved
Car group car body, EMUs working earthing system and EMUs protective grounding system；
Step 2：Traction networks, rail and traction substation equivalent-circuit model are built, Traction networks are in high-speed railway yard main track
Using full autotransformer feeding system in parallel, corresponding contact line and rail are added on side line；
Traction pessimistic concurrency control is emulated using link circuit model；According to traction substation, station, EMUs, self coupling transformation
Device and subregion position, traction pessimistic concurrency control is divided into the sub-network model of multiple series connection；To each subnet model, π type nets are utilized
Network reflects the inductive coupled and capacitive coupling of each conductor；
Step 3：Yard Traction networks model each several part parameter is calculated, it is theoretical with reference to multi-conductor transmission lines, by enumerating impedance and leading
Receive matrix, matrix reduction and matrixing, determine the perception and capacitive coupling parameter of each conductor；
Step 4：Based on the Traction networks and motor-car group model built, according to EMUs operating condition design and simulation, mutually met the tendency of
The electric parameter transient changing situation of row operating mode.
A kind of 2. Traction networks-EMUs modeling method for high ferro yard as claimed in claim 1, it is characterised in that institute
Stating step 3 is specially：By the way that contact line and carrier cable are merged into contact net, two parallel steel rails are merged into a rail reality
Existing matrix reduction；
In the calculating of impedance parameter, n × n impedance matrixes are listed, i.e.,：
Wherein, uiRefer to the pressure drop at unit length conductor both ends, iiRefer to the electric current for flowing through conductor；Utilize using the earth as the aerial of loop
Conductor impedance calculation formula is the self-impedance Z that Carson formula determine traction conductor in formula (1)iiWith mutual impedance Zij；
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In formula (2), riIt is conductor i self-impedance, reIt is the earth self-impedance, DgIt is the equivalent depth of the earth, σ is earth conductivity, f
It is frequency；RεiIt is conductor i equivalent redius, dijIt is the distance between conductor i and conductor j；
Assuming that contact net, contact line, carrier cable, merge rail and two parallel steel rails in electric current be respectively iT,iC,iJ,iR,
iA,iB, the voltage accordingly led is uT,uC,uJ,uR,uA,uB, with reference to Traction networks actual conditions, uC=uJ=uT,uR=uA+uB,iT=
iC+iJAnd iR=iA+iBTo the impedance matrix depression of order shown in formula (1)；
In capacitance parameter calculating, antecedent write potential coefficient matrix, then arrangement of conductors electric capacity is produced to coefficient of potential matrix inversion
Coefficient matrix；N × n coefficient of potential matrix is listed, i.e.,：
uiFor conductor i unit length voltage drop, qiInstruct body i unit length electricity, conductor i self-potential coefficient ZiiAnd lead
Body i and conductor j mutual coefficient of potential ZijIt is calculated according to formula (4)；
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In formula (4), ε0It is dielectric constant of air, riIt is conductor i equivalent redius, hiIt is height, d between conductor i and groundijIt is to lead
Distance between body i and conductor j, DijIt is the mirror image distance between conductor i and conductor j；Assuming that contact net, contact line, carrier cable, merge
Rail and the electricity of two parallel steel rails are qT,qC,qJ,qR,qA,qB, the voltage of respective conductors is uT,uC,uJ,uR,uA,uB, according to
qT=qC+qJ,qR=qA+qB,uC=uJ=uTAnd uR=uA+uBThe coefficient of potential matrix reduction of formula (4) is handled.
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| CN113326571A (en) * | 2021-06-25 | 2021-08-31 | 中车长春轨道客车股份有限公司 | Train body electromagnetic compatibility confirmation method based on three-dimensional equivalent impedance network |
| CN115099181A (en) * | 2022-07-25 | 2022-09-23 | 广州地铁设计研究院股份有限公司 | Urban rail subway transient state conduction EMI modeling method and circuit model |
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| CN112733480B (en) * | 2021-02-02 | 2021-10-22 | 西南交通大学 | Three-dimensional equivalent circuit model construction method suitable for rail grounding system of motor train unit |
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