CN106353564A - Power system short-circuit current acquiring method for meter and V/X wiring traction transformer - Google Patents

Power system short-circuit current acquiring method for meter and V/X wiring traction transformer Download PDF

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Publication number
CN106353564A
CN106353564A CN201610877724.3A CN201610877724A CN106353564A CN 106353564 A CN106353564 A CN 106353564A CN 201610877724 A CN201610877724 A CN 201610877724A CN 106353564 A CN106353564 A CN 106353564A
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fault
sequence
node
power system
phase
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CN106353564B (en
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李泉
李一泉
陈博
杨韵
李银红
王峰
陈金富
陈志光
曾耿晖
朱峥
张葆红
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Electric Power Dispatch Control Center of Guangdong Power Grid Co Ltd
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Huazhong University of Science and Technology
Electric Power Dispatch Control Center of Guangdong Power Grid Co Ltd
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R19/00Arrangements for measuring currents or voltages or for indicating presence or sign thereof
    • G01R19/0092Arrangements for measuring currents or voltages or for indicating presence or sign thereof measuring current only

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  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Testing Of Short-Circuits, Discontinuities, Leakage, Or Incorrect Line Connections (AREA)

Abstract

The invention discloses a power system short-circuit current acquiring method for a meter and V/X wiring traction transformer. The power system short-circuit current acquiring method comprises the following steps: acquiring pre-failure node injection current; acquiring failure current of a failure occurring point after a failure according to a failure occurring position to obtain post-failure node injection current; acquiring post-failure node voltage and branch current according to the post-failure node injection current. The method is based on a node impedance matrix method in a symmetrical component method, the problem that short-circuit current analysis cannot be performed on an asymmetrical power system accessing the V/X wiring traction transformer in the prior art is solved, short-circuit current analysis can be performed on the asymmetrical power system only by adding a small quantity of codes in a short-circuit analyzing process based on the node impedance matrix in a symmetrical component method, programming is realized easily, and analysis software integrating the method provided by the invention can realize any multiple short-circuit failure analysis.

Description

Meter and the Power System Shortcuts electric current acquisition methods of v/x Connection Traction Transformer
Technical field
The invention belongs to the Analysis of Short-Circuit Current technical field of AC transmission system is and in particular to meter and v/x wiring are drawn The power system electric current acquisition methods of transformator.
Background technology
Protective relaying device has important effect in terms of ensureing the operation of power system safety and stability.In order to ensure protecting The correct operation of protection unit, needs to carry out correctly adaptive setting to protection device, and carry out correct short circuit current and ask for be The correct premise of adaptive setting.
In Power System Shortcuts amperometry, because the power system of coupling can be resolved into by symmetrical component method Three sequence networks of three-phase decoupling, are greatly reduced amount of calculation, and the Analysis of Short-Circuit Current of power system typically adopts symmetrical components Method.Power system is powered to tractive power supply system by tractive transformer, and v/x Connection Traction Transformer is that one kind obtains in China Widely used tractive transformer, its structure asymmetrical three-phase, accessing in electrical network to make electrical network be changed into a kind of asymmetrical three-phase system System, makes cannot use based on the short circuit current acquisition methods of symmetrical component method.It is therefore desirable to becoming to accessing this type traction The short circuit current acquisition methods of the power system after depressor are studied, and make it for existing Analysis of Short-Circuit Current program.
Content of the invention
For disadvantages described above the invention provides meter and v/x Connection Traction Transformer Power System Shortcuts electric current acquisition side Method it is intended to solve leads to the symmetrical component method cannot be to this because v/x Connection Traction Transformer makes NETWORK STRUCTURE PRESERVING POWER SYSTEM asymmetric Power system carries out the technical problem of Analysis of Short-Circuit Current.
For achieving the above object, the meter that the present invention provides and the Power System Shortcuts electric current of v/x Connection Traction Transformer obtain Take method, the present invention comprises the steps:
(1) the secondary transient potential of electromotor is even saved according to node and subtranient reactance obtains power system s sequence before fault Node injection current column vector
(2) position is occurred to obtain the s sequence fault current of failure boundary node t after fault u occurs according to fault uIf Fault u occurs in system side, then obtain the s sequence fault curre of failure boundary node t after fault u occurs according to compound sequence networkIf short trouble u occurs to draw in v/x wiring becomes device low-pressure side, v/x Connection Traction Transformer high-voltage side bus are made For failure boundary node t, v/x Connection Traction Transformer as transition impedance, according to fault type and v/x Connection Traction Transformer Structure lists boundary condition equation group, and with failure boundary node at port equation group simultaneous, obtain fault after fault u occurs The s sequence fault curre of boundary node t
(3) fault power system s sequence node injection current column vector according to step (1)After occurring with fault u The s sequence fault current of failure boundary node tObtain the power system s sequence node injection current column vector after fault
(4) according to the power system s sequence node injection current column vector after faultWith power system s sequence section before fault Point impedance matrixObtain the power system s sequence node voltage column vector after fault
(5) according to the power system s sequence node voltage column vector after faultLead with power system s sequence node before fault Receive matrixObtain the s sequence electric current being located at branch road km between node k and node m
In formula,For power system s sequence bus admittance matrix before fault,Hinder for power system s sequence node before fault Anti- matrix,For power system s sequence node injection current column vector before fault,Failure boundary node after occurring for fault u The s sequence fault current of t,For the power system s sequence node injection current column vector after fault,Power system s after fault Sequence node voltage column vector,Represent the s sequence electric current being located at branch road km between node k and node m, s=1,2,0, and 1 expression Positive sequence, 2 expression negative phase-sequences, 0 expression zero sequence.
Further, also comprised the steps: before described step (4)
Do not consider the admittance of v/x Connection Traction Transformer, power system s sequence section before fault is obtained according to NETWORK STRUCTURE PRESERVING POWER SYSTEM Point admittance matrix
To power system s sequence bus admittance matrix before described faultCarry out inverse transformation, obtain power system s before fault Sequence nodal impedance matrix
Further, also comprise the steps: after described step (5)
According to formulaBy the fault deutomerite required by step (5) The s sequence injection current of branch road km between point k and node mIt is converted into branch road km electric current between phase component lower node k and node m, According to formulaS by the fault posterior nodal point t required by step (4) Sequence voltage is converted into fault posterior nodal point t voltage under phase component;
In formula, A phase for branch road km between fault posterior nodal point k and node m Electric current,For the b phase current of branch road km between fault posterior nodal point k and node m,For between fault posterior nodal point k and node m The c phase current of road km,Branch road km forward-order current between fault posterior nodal point k and node m,Fault posterior nodal point k and node m it Between branch road km negative-sequence current,Branch road km zero-sequence current between fault posterior nodal point k and node m,For malfunctioning node after fault The a phase voltage of t,For the b phase voltage of malfunctioning node t after fault,For the c phase voltage of malfunctioning node t after fault, Positive sequence voltage column vector for power system after faultT row element,Negative phase-sequence node for power system after fault Column voltage vectorT row element,Zero sequence node voltage column vector for power system after faultT row unit Element, 1≤t≤n, n are nodes.
Further, power system positive sequence node injection current before fault described in described step (1)Power system negative phase-sequence node injection current before faultTherefore Before barrier Power system zero sequence node injection current
In formula, Represent the positive sequence injection current of fault front nodal point k,Represent what k node was connected The secondary transient potential of electromotor, x'k'dRepresent the subtranient reactance of the electromotor that k node is connected, 1≤k≤n, n are nodes.
Further, in described step (2) when the short circuit of v/x Connection Traction Transformer low-pressure side bilateral list branch, according to Boundary condition equation groupThrough Phase-Sequence Transformation and port equation group Obtain s sequence fault curre at failure boundary node t after short trouble u occurs
In equation,For fault u failure boundary node t s sequence fault current,For fault u on fault side The w phase fault electric current of boundary node t,Fault u in the s sequence false voltage of failure boundary node t,For fault u on fault side The w phase fault voltage of boundary node t, zttsFor power system s sequence bus admittance matrix before faultIn t row t column element,The positive sequence voltage of fault prior fault boundary node t, ztsRepresent that three-winding transformer low-pressure side t phase ground short circuit or f connect On high-tension side measurement impedance, z during ground short circuittdGround short circuit or t phase when representing that three-winding transformer low-pressure side t phase is identical with f With on high-tension side measurement impedance during f phase phase fault, s=1,2,0, and 1 expression positive sequence, 2 expression negative phase-sequences, 0 expression zero sequence, w= A, b, c, and a represent a phase, and b represents b phase, and c represents c phase.
Further, according to formula in described step (3)Obtain the power system s sequence after fault Node injection current column vector
In formula,For power system s sequence node injection current column vector before fault,Fault side after occurring for fault u The s sequence fault current of boundary node t,S sequence fault current correction column vector after occurring for fault u,ForT-th yuan Element, andOther elements be zero, nfFor the quantity of fault u,For the power system s sequence node injection electricity after fault Stream column vector, s=1,2,0, and 1 expression positive sequence, 2 expression negative phase-sequences, 0 expression zero sequence, 1≤t≤n, n are nodes.
Further, according to formula in described step (4)Obtain the power system s sequence node after fault Column voltage vector
In formula,For the power system s sequence node injection current column vector after fault,For power system s before fault Sequence nodal impedance matrix,Power system s sequence node voltage column vector after fault, s=1,2,0, and 1 expression positive sequence, 2 expressions Negative phase-sequence, 0 expression zero sequence.
Further, according to formula in described step (5)Obtain be located at after fault node k and The s sequence electric current of branch road km between node m
In formula,It is located at the s sequence electric current of branch road km between node k and node m after representing fault,Represent fault deutomerite The s sequence voltage of point k,Represent the s sequence voltage of fault posterior nodal point m,Represent power system s sequence node admittance square before fault Battle arrayRow k m column element,For power system s sequence bus admittance matrix before fault, s=1,2,0, and 1 just represents Sequence, 2 expression negative phase-sequences, 0 expression zero sequence, 1≤k≤n, 1≤m≤n, n are nodes.
By the contemplated above technical scheme of the present invention, compared with prior art, the following beneficial effect of acquirement:
(1), when solving fault point fault current electric current in step (2), there is event in the system side except considering power system It is also contemplated that v/x Connection Traction Transformer low-pressure side breaks down and obtained according to the structure of v/x Connection Traction Transformer outside barrier Obtain the fault current after v/x Connection Traction Transformer low-pressure side breaks down, solving existing analysis software at present cannot dock The optional position entering the asymmetric power system after v/x Connection Traction Transformer carries out the technical problem of Analysis of Short-Circuit Current, and The method providing in the present invention is obtained in that to be sent out with impedance matching balance traction transformer low-pressure side when the system side of system simultaneously Fault current after raw fault.
(2) the nodal impedance matrix amperometry method based on symmetrical components for this method, compared with phase components method, computationally intensive Big minimizing, efficiency is improved, and especially when carrying out high-volume Analysis of Short-Circuit Current, speed is fast, and committed memory is little, existing Symmetrical component method short circuit calculation program in integrated the method, only need to increase simple program and can achieve so that short after integrated Road amperometry program is capable of arbitrarily being weighed fault to the asymmetric power system having v/x Connection Traction Transformer to access Calculate.
Brief description
Meter and the stream of the Power System Shortcuts electric current acquisition methods of v/x Connection Traction Transformer that Fig. 1 provides for the present invention Cheng Tu;
V/x in meter that Fig. 2 provides for the present invention and the Power System Shortcuts electric current acquisition methods of v/x Connection Traction Transformer The wiring diagram of Connection Traction Transformer;
High-pressure side equivalent circuit during the t2 phase ground short circuit of the v/x Connection Traction Transformer that Fig. 3 provides for the present invention;
The t2 phase of the v/x Connection Traction Transformer that Fig. 4 provides for the present invention and f2 high-pressure side during ground short circuit when identical Equivalent circuit;
The t1 phase of the v/x Connection Traction Transformer that Fig. 5 provides for the present invention and t2 high-pressure side during ground short circuit when identical Equivalent circuit;
When the t1 phase of the v/x Connection Traction Transformer that Fig. 6 provides for the present invention is identical with f1, short circuit, t2 phase are identical with f2 High-pressure side equivalent circuit when short-circuit;
The t1 phase short circuit of the v/x Connection Traction Transformer that Fig. 7 provides for the present invention, t2 phase and f2 height during short circuit when identical Pressure side equivalent circuit;
Power grid topological graph in the example that Fig. 8 provides for the present invention.
Specific embodiment
In order that the objects, technical solutions and advantages of the present invention become more apparent, below in conjunction with drawings and Examples, right The present invention is further elaborated.It should be appreciated that specific embodiment described herein is only in order to explain the present invention, and It is not used in the restriction present invention.As long as additionally, involved technical characteristic in each embodiment of invention described below The conflict of not constituting each other just can be mutually combined.
As shown in figure 1, the Power System Shortcuts electric current acquisition side of the meter of present invention offer and v/x Connection Traction Transformer Method, comprises the following steps:
(1) ask for power system s sequence each node injection current column vector before fault occursPositive sequence section before fault generation Point injection currentNegative phase-sequence node injection current before fault generation There is zero sequence node injection current in faultIn formula,Represent that fault is sent out The positive sequence injection current of node k before death,Represent the secondary transient potential of the electromotor that k node is connected, x'k'dRepresent k node institute The subtranient reactance of the electromotor connecting, 1≤k≤n, n are number of nodes.
(2) position is occurred to try to achieve the s sequence fault curre of failure boundary node t when fault u occurs according to short trouble uIf fault occurs in system side, obtain the s sequence fault current of failure boundary node t according to compound sequence networkIf Fault occurs to draw change device low-pressure side in v/x wiring, then using tractive transformer high-voltage side bus as failure boundary node t, lead Draw transformator as transition impedance during fault, boundary condition equation group listed according to fault type and tractive transformer structure, And with boundary node at port equation group simultaneous, obtain the s sequence fault curre of failure boundary node tWherein 1≤t ≤ n, 1≤u≤nf, nfFor number of faults, n is number of nodes.
(3) according to formulaObtain the power system s sequence node injection current column vector after faultIn formula,For the s sequence node injection current column vector before fault,Therefore S sequence fault curre at failure boundary node t after barrier u generation,For s sequence fault current correction column vector,ForT-th element,Other elements are zero, 1≤u≤nf, nfFor short trouble quantity.
By using required fault current as this node new injection current, with each node injection circuit before fault Superposition, is solved the injection current of each node after fault, can solve the problem that and caused for due to the access of v/x Connection Traction Transformer Power system is asymmetric, when system side and the v/x Connection Traction Transformer low-pressure side of asymmetric power system break down simultaneously The technical problem of acquisition fault current afterwards.
(4) do not consider the admittance of v/x Connection Traction Transformer, ask for the power system s sequence bus admittance matrix before faultIn formula, s=1,2,0, and 1 expression positive sequence, 2 expression negative phase-sequences, 0 expression zero sequence.
(5) to the power system s sequence bus admittance matrix before faultInvert, obtain power system s sequence node before fault Impedance matrix
(6) according to formulaSolution be out of order after power system s sequence node voltage column vectorIn formula,For the power system s sequence node injection current column vector after fault.
By above-mentioned formulaBring formula intoCan obtain:
u · s ( f ) = z s ( 0 ) i · s ( f ) = z s ( 0 ) ( i · s ( 0 ) - σ u = 1 n f δ i · u s ( f ) ) = z s ( 0 ) i · s ( 0 ) - z s ( 0 ) σ u = 1 n f δ i · u s ( f ) = u · s ( 0 ) - σ u = 1 n f z s ( 0 ) δ i · u s ( f )
Then can be according to formulaSolve each node s sequence voltage column vector after fault, formula In,For the s sequence voltage column vector of power system before fault,For fault u occur after s sequence fault current correction arrange to Amount,For power system s sequence bus admittance matrix before fault.
(7) according to formulaTry to achieve power system s sequence branch current after faultIn formula,Represent fault after between node k and node m branch road km s sequence electric current,Represent the s sequence of the node k after fault Voltage,Represent the s sequence voltage of the node m after fault,Represent power system s sequence bus admittance matrix before fault's S row m column element, 1≤k≤n, 1≤m≤n, n are number of nodes.
When the system side of the asymmetric power system accessing v/x Connection Traction Transformer breaks down, using composite web sequence Method solves the fault current of failure boundary node, when the asymmetric power system accessing v/x Connection Traction Transformer is connecing in v/x When the Low-side faults of line tractive transformer occur, the structure according to v/x Connection Traction Transformer and short trouble type, list Boundary condition equation and the fault current of port equation acquisition boundary node, the power system node injection before being occurred by fault The fault current of electric current column vector and above-mentioned failure boundary node obtains power system node injection current column vector after fault, solution Existing Symmetric Vector method of having determined cannot be entered to the optional position of the asymmetric power system accessing after v/x Connection Traction Transformer The problem of row short-circuit analysis, further, since the method that the present invention provides employs node impedance method under symmetrical components so that only A little code need to be increased in existing symmetrical component method short circuit calculation program, you can the method integration providing the present invention is to existing In some symmetrical component method short-circuit analysis programs, the asymmetric Force system of electricity realizing v/x Connection Traction Transformer is accessed is carried out Short-circuit analysis is so that the program being integrated with the method for present invention offer can calculate and comprises the not right of v/x Connection Traction Transformer Power system is claimed arbitrarily to weigh fault.
Further comprising the steps of in the embodiment that the present invention provides: (8) are according to formula S sequence injection current by branch road km between the fault posterior nodal point k required by step (7) and node mConversion For branch road km electric current between phase component lower node k and node m, according to formula The s sequence voltage of the fault posterior nodal point t required by step (5) is converted into fault posterior nodal point t voltage under phase component;
In formula, A phase for branch road km between fault posterior nodal point k and node m Electric current,For the b phase current of branch road km between fault posterior nodal point k and node m,For between fault posterior nodal point k and node m The c phase current of road km,Branch road km forward-order current between fault posterior nodal point k and node m,Fault posterior nodal point k and node m it Between branch road km negative-sequence current,Branch road km zero-sequence current between fault posterior nodal point k and node m,For malfunctioning node after fault The a phase voltage of t,For the b phase voltage of malfunctioning node t after fault,For the c phase voltage of malfunctioning node t after fault, Positive sequence voltage column vector for power system after faultT row element,Negative phase-sequence node for power system after fault Column voltage vectorT row element,Zero sequence node voltage column vector for power system after faultT row unit Element.
In the embodiment step (2) that the present invention provides, when short trouble u occurs in system side, system side short circuit is divided into Single-phase short circuit, line to line fault, two-phase grounding fault and three-phase shortcircuit, with fault point for failure boundary node, using compound The fault current at failure boundary node obtained by sequence net.
It is illustrated in figure 2 the wiring diagram of v/x Connection Traction Transformer, this transformator is by two identical three-winding transformers Composition, three-winding transformer structure as shown in figure 3, the low-pressure side winding construction of every three-winding transformer is identical, every three around The low-pressure side of group transformator has biphase t, f to connect feeder line and return wire respectively, and another rail r that connects, rail r are grounded.
In the embodiment that the present invention provides step (2) when short trouble u be unilateral in v/x Connection Traction Transformer low-pressure side There is ground short circuit.
It is illustrated in figure 3 v/x Connection Traction Transformer low-pressure side unilateral list branch short-circuit, such as t2 phase ground short circuit, if V/x Connection Traction Transformer high-voltage side bus node serial number is t, with t for failure boundary node, by v/x Connection Traction Transformer As transition impedance z during faultts, this kind of situation is combination traction transformer of singlephase connection Low-side faults, boundary condition side Journey group, and with boundary node at port equation group simultaneous, c at failure boundary node t after short trouble u occurs after solving equation Phase positive sequence fault curreC phase negative sequence fault current valueC phase zero sequence fault current For 0;
In formula, ztsOn high-tension side measurement impedance when representing three-winding transformer low-pressure side t phase ground connection or f phase ground short circuit, ztt1For power system positive sequence bus admittance matrix before faultIn t row t column element, ztt2Bear for power system before fault Sequence bus admittance matrixIn t row t column element.
Be illustrated in figure 4 the double branch in low-pressure side side simultaneously short-circuit, such as short-circuit when t2 phase is identical with f2, if v/x wiring Tractive transformer high-voltage side bus node serial number is t, with t as boundary node, using v/x Connection Traction Transformer as during fault Transition impedance ztd, this kind of situation is identical with the t2 phase ground short circuit described in Fig. 3, therefore saves with border in simultaneous boundary condition equation group Electric current after port equation group at point solves only need to be by ztsChange z intotd, c at failure boundary node t after that is, short trouble u occurs Phase positive sequence fault curreC phase negative sequence fault current valueC phase zero sequence fault current For 0;
In formula, ztdHigh pressure when representing three-winding transformer low-pressure side t phase and f phase ground short circuit or t phase and f phase phase fault The measurement impedance of side, ztt1For power system positive sequence bus admittance matrix before faultIn t row t column element, ztt2For fault Front power system negative phase-sequence bus admittance matrixIn t row t column element.
The present invention provide embodiment in step (2) when short trouble u occur all be short-circuited in low-pressure side both sides.
Be illustrated in figure 5 two low-pressure sides of two three-phase windings transformators and wall scroll branch, short-circuit occur simultaneously, such as t1 phase and Short circuit when t2 is identical, if it is t that high voltage side of transformer bus nodes are numbered, with t for failure boundary node, then v/x wiring traction becomes The high-pressure side equivalent circuit of depressor is first transition impedance ztsIt is connected between a phase and b phase, second transition impedance ztsIt is connected in c Mutually and b phase between, according to boundary condition equation group
u · u a t ( f ) - u · u b t ( f ) = z t s δ i · u a t ( f ) u · u c t ( f ) - u · u b t ( f ) = z t s δ i · u c t ( f ) δ i · u a t ( f ) + δ i · u b t ( f ) + δ i · u c t ( f ) = 0
Through Phase-Sequence Transformation and port equation group
u · u 1 t ( f ) u · u 2 t ( f ) u · u 0 t ( f ) = u · 1 t ( 0 ) 0 0 - z t t 1 z t t 2 z t t 0 δ i · u 1 t ( f ) δ i · u 2 t ( f ) δ i · u 0 t ( f )
Obtain s sequence fault curre at failure boundary node t after short trouble u occurs
In equation,For s sequence fault current at failure boundary node t for the short trouble u,For short trouble W phase fault electric current at failure boundary node t for the u,S sequence false voltage at failure boundary node t for the short trouble u,For w phase fault voltage at failure boundary node t for the short trouble u, zttsFor power system s sequence node admittance before fault MatrixIn t row t column element,For the positive sequence voltage of fault u fault prior fault boundary node t, ztsRepresent three winding On high-tension side measurement impedance when step down side t phase ground connection or f phase ground short circuit,For fault u fault prior fault point t's Positive sequence voltage, s=1,2,0, and 1 expression positive sequence, 2 expression negative phase-sequences, 0 expression zero sequence, w=a, b, c, and a represents a phase, b represents b Phase, c represents c phase.
B phase positive sequence fault curre at failure boundary node t after short trouble u occurs after solving equation B phase negative sequence fault current valueB phase zero sequence fault curre 0.
Fig. 6 show the double branches short circuit simultaneously of low-pressure side both sides, and when that is, t1 phase is identical with f1, short circuit and 2 phases are identical with f2 When short circuit, if it is t that high voltage side of transformer bus nodes are numbered, with t for failure boundary node, then v/x Connection Traction Transformer High-pressure side equivalent circuit is first transition impedance ztdIt is connected between a phase and b phase, second transition impedance ztdIt is connected in c phase and b Between phase.
By transition impedance z in boundary condition equation in low-pressure side single spur track short circuit simultaneouslytsReplace with ztd, as low-pressure side The boundary condition equation of both sides double branches short circuit simultaneously, the same low pressure of purt condition equation of the double branch in low-pressure side both sides short circuit simultaneously The purt condition equation of side both sides single branch short circuit simultaneously is identical.
B phase positive sequence fault curre at failure boundary node t after fault u occurs after solving equation B phase negative sequence fault current valueB phase zero sequence fault curre 0.
Fig. 7 show the anisopleual short circuit of low-pressure side, i.e. the short circuit of side single spur track, the short circuit simultaneously of the double branch road of opposite side or During phase fault, such as short circuit when the short circuit of t1 phase and t2 phase are identical with f2, if it is t that high voltage side of transformer bus nodes are numbered, With t for failure boundary node, then the high-pressure side equivalent circuit of v/x Connection Traction Transformer is first transition impedance ztdIt is connected in a Mutually and b phase between, second transition impedance ztsIt is connected between c phase and b phase, according to boundary condition equation group
u · u a t ( f ) - u · u b t ( f ) = z d s δ i · u a t ( f ) u · u c t ( f ) - u · u b t ( f ) = z t s δ i · u c t ( f ) δ i · u a t ( f ) + δ i · u b t ( f ) + δ i · u c t ( f ) = 0
Through Phase-Sequence Transformation and port equation group
u · u 1 t ( f ) u · u 2 t ( f ) u · u 0 t ( f ) = u · 1 t ( 0 ) 0 0 - z t t 1 z t t 2 z t t 0 δ i · u 1 t ( f ) δ i · u 2 t ( f ) δ i · u 0 t ( f )
Obtain s sequence fault curre at failure boundary node t after short trouble u occurs
In equation,For s sequence fault current at the t of trouble point for the short trouble u,For short trouble u in event W phase fault electric current at barrier point t,S sequence false voltage at the t of trouble point for the short trouble u,For short trouble u in event W phase fault voltage at barrier point t, zttsFor power system s sequence bus admittance matrix before faultIn t row t column element,For the positive sequence voltage of fault u fault prior fault point t, ztsRepresent that three-winding transformer low-pressure side t phase ground connection or f phase ground connection are short On high-tension side measurement impedance, z during roadtdGround short circuit or t phase, f phase phase when representing that three-winding transformer low-pressure side t phase, f are identical Between short circuit when on high-tension side measurement impedance,For the positive sequence voltage of fault u fault prior fault point t, s=1,2,0, and 1 just represents Sequence, 2 expression negative phase-sequences, 0 expression zero sequence, w=a, b, c, and a represents a phase, b represents b phase, and c represents c phase.
B phase positive sequence fault curre at failure boundary node t after short trouble u occurs after solving equation B phase negative sequence fault current valueB phase phase zero sequence fault curre 0.
Listing fault in the present embodiment occurs fault current is asked in position method when different to solve short circuit point at present Analysis software cannot carry out short-circuit analysis to the optional position of the asymmetric power system after this access v/x Connection Traction Transformer Problem.
The present invention provides and calculates embodiment, in electric network composition as shown in Figure 8, v/x Connection Traction Transformer capacity: 40mva;Rated voltage 220/27.5/27.5kv;Short-circuit impedance: t (f) phase ground short circuit: 13%, t, f alternate (ground connection) short circuit: 12%, all it is folded to 40mva side.System equivalent potential perunit value:The perunit value of impedance: zs=j0.2;Traction The perunit value becoming the positive sequence impedance of supply line is zl1=0.0086+j0.0276, the perunit value of negative sequence impedance is zl2= 0.0086+j0.0276, the perunit value of zero sequence impedance is zl0=0.0258+j0.0828, system impedance and line impedance all with On the basis of 100mva.Ask for, in v/x Connection Traction Transformer low-pressure side, t2 phase ground connection occurs using the method providing in the present invention T2 phase and f2 connect simultaneously for short circuit, t2 phase and f2 phase ground short circuit, t1 phase and t2 phase ground short circuit, t1 phase and f1 phase ground short circuit Ground short circuit, the t1 phase ground short circuit fault current under t2 phase and this five kinds of short troubles of f2 phase ground short circuit simultaneously, and pass through Pscad/emtdc emulates and to verify the correctness of analysis result, and comparing result as shown in table 1, ignores the error brought by calculating, The result of calculation of the inventive method and simulation result completely the same it was demonstrated that the correctness of the inventive method.
Table 1 asks for short circuit current after low-pressure side short trouble using the method for the present invention with using pscad/emtdc emulation Results contrast
As it will be easily appreciated by one skilled in the art that the foregoing is only presently preferred embodiments of the present invention, not in order to Limit the present invention, all any modification, equivalent and improvement made within the spirit and principles in the present invention etc., all should comprise Within protection scope of the present invention.

Claims (8)

1. the Power System Shortcuts electric current acquisition methods of meter and v/x Connection Traction Transformer are it is characterised in that include following steps Rapid:
(1) the secondary transient potential of electromotor is even saved according to node and subtranient reactance obtains power system s sequence node before fault Injection current column vector
(2) position is occurred to obtain the s sequence fault current of failure boundary node t after fault u occurs according to fault uIf fault u Occur in system side, then obtain the s sequence fault curre of failure boundary node t after fault u occurs according to compound sequence network If short trouble u occurs to draw in v/x wiring becomes device low-pressure side, using v/x Connection Traction Transformer high-voltage side bus as event Barrier boundary node t, v/x Connection Traction Transformer as transition impedance, according to fault type and v/x Connection Traction Transformer structure List boundary condition equation group, and with failure boundary node t at port equation group simultaneous, obtain fault side after fault u occurs The s sequence fault curre of boundary node t
(3) power system s sequence node injection current column vector before fault according to step (1)Event after occurring with fault u The s sequence fault current of barrier boundary node tObtain the power system s sequence node injection current column vector after fault
(4) according to the power system s sequence node injection current column vector after faultWith power system s sequence node impedance before fault MatrixObtain the power system s sequence node voltage column vector after fault
(5) according to the power system s sequence node voltage column vector after faultWith power system s sequence node admittance square before fault Battle arrayObtain the s sequence electric current being located at branch road km between node k and node m
In formula,For power system s sequence bus admittance matrix before fault,For power system s sequence node impedance square before fault Battle array,For power system s sequence node injection current column vector before fault,The s of failure boundary node t after occurring for fault u Sequence fault current,For the power system s sequence node injection current column vector after fault,Power system s sequence section after fault Point voltage column vector,Represent the s sequence electric current being located at branch road km between node k and node m, s=1,2,0, and 1 represents positive sequence, 2 expression negative phase-sequences, 0 expression zero sequence.
2. the Power System Shortcuts electric current acquisition methods according to claim 1 are it is characterised in that in described step (4) Also comprise the steps: before
Do not consider the admittance of v/x Connection Traction Transformer, power system s sequence node before fault is obtained according to NETWORK STRUCTURE PRESERVING POWER SYSTEM and leads Receive matrix
To power system s sequence bus admittance matrix before described faultCarry out inverse transformation, obtain power system s sequence node before fault Impedance matrix
3. the Power System Shortcuts electric current acquisition methods according to claim 1 are it is characterised in that in described step (5) Also comprise the steps: afterwards
According to formulaBy the fault posterior nodal point k required by step (5) and The s sequence injection current of branch road km between node mIt is converted into branch road km electric current between phase component lower node k and node m, according to FormulaS sequence electricity by the fault posterior nodal point t required by step (4) Pressure is converted into fault posterior nodal point t voltage under phase component;
In formula, For a phase current of branch road km between fault posterior nodal point k and node m,For the b phase current of branch road km between fault posterior nodal point k and node m,For branch road km between fault posterior nodal point k and node m C phase current,Branch road km forward-order current between fault posterior nodal point k and node m,Prop up between fault posterior nodal point k and node m Road km negative-sequence current,Branch road km zero-sequence current between fault posterior nodal point k and node m,A for malfunctioning node t after fault Phase voltage,For the b phase voltage of malfunctioning node t after fault,For the c phase voltage of malfunctioning node t after fault,For event The positive sequence voltage column vector of power system after barrierT row element,Negative phase-sequence node voltage for power system after fault Column vectorT row element,Zero sequence node voltage column vector for power system after faultT row element.
4. Power System Shortcuts electric current acquisition methods as claimed in any of claims 1 to 3 are it is characterised in that institute State power system positive sequence node injection current before fault described in step (1)Electricity before fault Force system negative phase-sequence node injection currentPower system zero sequence node injection current before faultIn formula, Represent the positive sequence injection current of fault front nodal point k,Represent k The secondary transient potential of the electromotor that node is connected,The subtranient reactance of the electromotor that expression k node is connected, 1≤k≤ N, n are nodes.
5. Power System Shortcuts electric current acquisition methods as claimed in any of claims 1 to 3 are it is characterised in that institute State in step (2) when the short circuit of v/x Connection Traction Transformer low-pressure side bilateral list branch, according to boundary condition equation groupThrough Phase-Sequence Transformation and port equation groupAsk Go out s sequence fault curre at failure boundary node t after short trouble u occurs
In equation,For fault u failure boundary node t s sequence fault current,For fault u in failure boundary section The w phase fault electric current of point t,Fault u in the s sequence false voltage of failure boundary node t,For fault u in failure boundary section The w phase fault voltage of point t, zttsFor power system s sequence bus admittance matrix before faultIn t row t column element,Therefore The positive sequence voltage of barrier prior fault boundary node t, ztsRepresent three-winding transformer low-pressure side t phase ground short circuit or f phase ground short circuit When on high-tension side measurement impedance, ztdGround short circuit or t phase and f phase phase when representing that three-winding transformer low-pressure side t phase is identical with f Between short circuit when on high-tension side measurement impedance, s=1,2,0, and 1 expression positive sequence, 2 expression negative phase-sequences, 0 expression zero sequence, w=a, b, c, and A represents a phase, and b represents b phase, and c represents c phase.
6. Power System Shortcuts electric current acquisition methods as claimed in any of claims 1 to 3 are it is characterised in that institute State in step (3) according to formulaObtain the power system s sequence node injection current column vector after fault
In formula,For power system s sequence node injection current column vector before fault,Failure boundary section after occurring for fault u The s sequence fault current of point t,S sequence fault current correction column vector after occurring for fault u,ForT-th element, AndOther elements be zero, nfFor the quantity of fault,For the power system s sequence node injection current row after fault Vector, s=1,2,0, and 1 expression positive sequence, 2 expression negative phase-sequences, 0 expression zero sequence, 1≤t≤n, n are nodes.
7. Power System Shortcuts electric current acquisition methods as claimed in any of claims 1 to 3 are it is characterised in that institute State in step (4) according to formulaObtain the power system s sequence node voltage column vector after fault
In formula,For the power system s sequence node injection current column vector after fault,For power system s sequence section before fault Point impedance matrix,Power system s sequence node voltage column vector after fault, s=1,2,0, and 1 expression positive sequence, 2 expression negative phase-sequences, 0 expression zero sequence.
8. Power System Shortcuts electric current acquisition methods as claimed in any of claims 1 to 3 are it is characterised in that institute State in step (5) according to formulaIt is located at the s of branch road km between node k and node m after obtaining fault Sequence electric current
In formula,It is located at the s sequence electric current of branch road km between node k and node m after representing fault,Represent fault posterior nodal point k S sequence voltage,Represent the s sequence voltage of fault posterior nodal point m,Represent power system s sequence bus admittance matrix before faultRow k m column element,For power system s sequence bus admittance matrix before fault, s=1,2,0, and 1 expression positive sequence, 2 Represent negative phase-sequence, 0 expression zero sequence, 1≤k≤n, 1≤m≤n, n are nodes.
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