CN106353564B - The Power System Shortcuts electric current acquisition methods of meter and V/X Connection Traction Transformer - Google Patents
The Power System Shortcuts electric current acquisition methods of meter and V/X Connection Traction Transformer Download PDFInfo
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- CN106353564B CN106353564B CN201610877724.3A CN201610877724A CN106353564B CN 106353564 B CN106353564 B CN 106353564B CN 201610877724 A CN201610877724 A CN 201610877724A CN 106353564 B CN106353564 B CN 106353564B
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R19/00—Arrangements for measuring currents or voltages or for indicating presence or sign thereof
- G01R19/0092—Arrangements for measuring currents or voltages or for indicating presence or sign thereof measuring current only
Abstract
The invention discloses meter and the Power System Shortcuts electric current acquisition methods of V/X Connection Traction Transformer, including obtaining failure front nodal point Injection Current, the position occurred according to failure obtains the fault current that point occurs for failure after failure occurs and acquires failure posterior nodal point Injection Current, obtains failure posterior nodal point voltage and branch current according to failure posterior nodal point Injection Current.This method is based on the nodal impedance matrix method in symmetrical component method, solve the problems, such as that the prior art can not carry out Analysis of Short-Circuit Current to the asymmetric electric system of access V/X Connection Traction Transformer, a little code need to only be increased in the short-circuit analysis program based on symmetrical component method interior joint impedance matrix can be realized to asymmetric electric system progress Analysis of Short-Circuit Current, programming is realized simply, and the arbitrarily multiple analysis of Short Circuit Fault of the analysis software realization for integrating method provided by the invention is made.
Description
Technical field
The invention belongs to the Analysis of Short-Circuit Current technical fields of AC transmission system, and in particular to meter and V/X wiring traction
The electric system electric current acquisition methods of transformer.
Background technique
Protective relaying device plays an important role in terms of guaranteeing the stable operation of power system security.In order to ensure protecting
The correct movement of protection unit needs to carry out correctly adaptive setting to protective device, and carry out correct short circuit current and seek be
The correct premise of adaptive setting.
In Power System Shortcuts amperometry, since symmetrical component method can resolve into the electric system of coupling
Three sequence networks of three-phase decoupling, are greatly reduced calculation amount, the Analysis of Short-Circuit Current of electric system generally uses symmetrical components
Method.Electric system is powered by tractive transformer to tractive power supply system, and V/X Connection Traction Transformer is that one kind obtains in China
Widely used tractive transformer, structure asymmetrical three-phase, accessing in power grid can make power grid become a kind of asymmetrical three-phase system
System, is not available the short circuit current acquisition methods based on symmetrical component method.It is therefore desirable to become to access this type traction
The short circuit current acquisition methods of electric system after depressor are studied, and are made it for existing Analysis of Short-Circuit Current program.
Summary of the invention
For disadvantages described above, the present invention provides meters and the Power System Shortcuts electric current acquisition side of V/X Connection Traction Transformer
Method, it is intended to solve to make NETWORK STRUCTURE PRESERVING POWER SYSTEM asymmetric due to V/X Connection Traction Transformer and cause symmetrical component method can not be to this
Electric system carries out the technical issues of Analysis of Short-Circuit Current.
To achieve the above object, meter provided by the invention and the Power System Shortcuts electric current of V/X Connection Traction Transformer obtain
Method is taken, the present invention includes the following steps:
(1) according to electric system s sequence before the secondary transient potential of the connected generator of node and subtranient reactance acquisition failure
Node Injection Current column vector
(2) the s sequence fault current that position obtains failure boundary node t after failure u occurs is occurred according to failure uIf
Failure u occurs in system side, then the s sequence fault curre of failure boundary node t after failure u occurs is obtained according to compound sequence networkIf short trouble u, which occurs to draw in V/X wiring, becomes device low-pressure side, V/X Connection Traction Transformer high-voltage side bus is made
It is 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 the port equation group simultaneous at failure boundary node, find out failure after failure u occurs
The s sequence fault curre of boundary node t
(3) the failure electric system s sequence node Injection Current column vector according to step (1)After occurring with failure u
The s sequence fault current of failure boundary node tElectric system s sequence node Injection Current column vector after obtaining failure
(4) according to the electric system s sequence node Injection Current column vector after failureWith electric system s sequence section before failure
Point impedance matrixElectric system s sequence node voltage column vector after obtaining failure
(5) according to the electric system s sequence node voltage column vector after failureIt is led with electric system s sequence node before failure
Receive matrixObtain the s sequence electric current of the branch km between node k and node m
In formula,For electric system s sequence node admittance matrix before failure,It is hindered for electric system s sequence node before failure
Anti- matrix,For electric system s sequence node Injection Current column vector before failure,Failure boundary section after occurring for failure u
The s sequence fault current of point t,For the electric system s sequence node Injection Current column vector after failure,Power train after failure
System s sequence node voltage column vector,Indicate the s sequence electric current of the branch km between node k and node m, s=1,2,0, and 1 table
Show positive sequence, 2 indicate negative phase-sequence, and 0 indicates zero sequence.
Further, further include following steps before the step (4):
The admittance for not considering V/X Connection Traction Transformer, according to electric system s sequence section before NETWORK STRUCTURE PRESERVING POWER SYSTEM acquisition failure
Point admittance matrix
To electric system s sequence node admittance matrix before the failureInverse transformation is carried out, electric system s before failure is obtained
Sequence nodal impedance matrix
Further, further include following steps after the step (5):
According to formulaBy failure deutomerite required by step (5)
The s sequence Injection Current of branch km between point k and node mIt is converted into branch km electric current between phase component lower node k and node m,
According to formulaBy the s of failure posterior nodal point t required by step (4)
Sequence voltage is converted into failure posterior nodal point t voltage under phase component;
In formula,A=ej120°,The A phase of branch km between failure posterior nodal point k and node m
Electric current,The B phase current of branch km between failure posterior nodal point k and node m,Between failure posterior nodal point k and node m
The C phase current of branch km,Branch km forward-order current between failure posterior nodal point k and node m,Failure posterior nodal point k and node m
Between branch km negative-sequence current,Branch km zero-sequence current between failure posterior nodal point k and node m,For failure section after failure
The A phase voltage of point t,For the B phase voltage of malfunctioning node t after failure,For the C phase voltage of malfunctioning node t after failure,For the positive sequence voltage column vector of electric system after failureT row element,For the negative phase-sequence of electric system after failure
Node voltage column vectorT row element,For the zero sequence node voltage column vector of electric system after failure?
T row element, 1≤t≤n, n are number of nodes.
Further, when the s=1, electric system positive sequence node Injection Current column vector before failureWhen s=2, electric system negative phase-sequence node Injection Current column vector before failureWhen s=0, electric system zero sequence node Injection Current column vector before failureIn formula, Indicate the positive sequence Injection Current of failure front nodal point k,It indicates
The secondary transient potential for the generator that k node is connected, X'k'dIndicate the subtranient reactance for the generator that k node is connected, 1≤k
≤ n, n are number of nodes.
Further, when the short circuit of V/X Connection Traction Transformer low-pressure side bilateral list branch in the step (2)
When, according to boundary condition equation groupBy Phase-Sequence Transformation and port equation groupFind out after short trouble u occurs s sequence failure at failure boundary node t
Current value
In equation,For failure u failure boundary node t s sequence fault current,It is failure u on failure side
The w phase fault electric current of boundary node t,Failure u failure boundary node t s sequence false voltage,It is failure u in failure
The w phase fault voltage of boundary node t, ZttsFor electric system s sequence node admittance matrix before failureIn t row t column member
Element,The positive sequence voltage of failure prior fault boundary node t, ZTSIndicate three-winding transformer low-pressure side T-phase ground short circuit or F phase
On high-tension side measurement impedance, Z when ground short circuitTDIndicate ground short circuit or T when three-winding transformer low-pressure side T-phase is identical with F
On high-tension side measurement impedance when mutually with F phase phase fault, s=1,2,0, and 1 indicates positive sequence, and 2 indicate negative phase-sequences, and 0 indicates zero sequence, w
=A, B, C, and A indicates A phase, and B indicates B phase, and C indicates C phase.
Further, according to formula in the step (3)Electric system s sequence after obtaining failure
Node Injection Current column vector
In formula,For electric system s sequence node Injection Current column vector before failure,Failure side after occurring for failure u
The s sequence fault current of boundary node t,S sequence fault current corrects column vector after occurring for failure u,ForT-th
Element, andOther elements be zero, nfFor the quantity of failure u,For the electric system s sequence node injection after failure
Electric current column vector, s=1,2,0, and 1 indicates positive sequence, and 2 indicate negative phase-sequence, and 0 indicates zero sequence, and 1≤t≤n, n are number of nodes.
Further, according to formula in the step (4)Electric system s sequence node after finding out failure
Column voltage vector
In formula,For the electric system s sequence node Injection Current column vector after failure,For electric system s before failure
Sequence nodal impedance matrix,Electric system s sequence node voltage column vector after failure, s=1,2,0, and 1 indicates positive sequence, and 2 indicate
Negative phase-sequence, 0 indicates zero sequence.
Further, according to formula in the step (5)Find out be located at after failure node k and
The s sequence electric current of branch km between node m
In formula,Indicate failure after between node k and node m branch km s sequence electric current,After indicating failure
The s sequence voltage of node k,Indicate the s sequence voltage of failure posterior nodal point m,Electric system s sequence node admittance before expression failure
MatrixRow k m column element,For electric system s sequence node admittance matrix before failure, s=1,2,0, and 1 is indicated just
Sequence, 2 indicate negative phase-sequence, and 0 indicates zero sequence, and 1≤k≤n, 1≤m≤n, n are number of nodes.
Contemplated above technical scheme through the invention, compared with prior art, obtain it is following the utility model has the advantages that
(1) when solving fault point fault current electric current in step (2), in addition to considering that event occurs for the system side of electric system
Barrier is outer, 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
The fault current after V/X Connection Traction Transformer low-pressure side breaks down is obtained, solving current existing analysis software can not dock
Any position of asymmetric electric system after entering V/X Connection Traction Transformer carries out the technical issues of Analysis of Short-Circuit Current, and
Method provided in the present invention can be obtained when the system side of system is sent out simultaneously with impedance matching balance traction transformer low-pressure side
Fault current after raw failure.
(2) nodal impedance matrix amperometry method of this method based on symmetrical components, it is computationally intensive compared with phase components method
Big to reduce, efficiency is improved, and especially when carrying out high-volume Analysis of Short-Circuit Current, speed is fast, and committed memory is small, existing
Symmetrical component method short circuit calculation program in integrate this method, only need to increase simple program and can be realized, so that short after integrated
Road amperometry program, which can be realized, carries out any heavy failure to the asymmetric electric system for having V/X Connection Traction Transformer to access
It calculates.
Detailed description of the invention
Fig. 1 is the stream of the Power System Shortcuts electric current acquisition methods of meter provided by the invention and V/X Connection Traction Transformer
Cheng Tu;
Fig. 2 is V/X in meter provided by the 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 when Fig. 3 is the T2 phase ground short circuit of V/X Connection Traction Transformer provided by the invention;
Fig. 4 is high-pressure side of the T2 phase of V/X Connection Traction Transformer provided by the invention with F2 when identical when ground short circuit
Equivalent circuit;
Fig. 5 is high-pressure side of the T1 phase of V/X Connection Traction Transformer provided by the invention with T2 when identical when ground short circuit
Equivalent circuit;
When Fig. 6 is that short circuit, T2 phase are identical with F2 when the T1 phase of V/X Connection Traction Transformer provided by the invention is identical with F1
High-pressure side equivalent circuit when short-circuit;
Fig. 7 is the T1 phase short circuit of V/X Connection Traction Transformer provided by the invention, height of the T2 phase with F2 when identical when short circuit
Press side equivalent circuit;
Fig. 8 is power grid topological graph in example provided by the invention.
Specific embodiment
In order to make the objectives, technical solutions, and advantages of the present invention clearer, with reference to the accompanying drawings and embodiments, right
The present invention is further elaborated.It should be appreciated that the specific embodiments described herein are merely illustrative of the present invention, and
It is not used in the restriction present invention.As long as in addition, technical characteristic involved in the various embodiments of the present invention described below
Not constituting a conflict with each other can be combined with each other.
As shown in Figure 1, the Power System Shortcuts electric current acquisition side of meter provided by the invention and V/X Connection Traction Transformer
Method, comprising the following steps:
(1) each node Injection Current column vector of electric system s sequence before failure occurs is soughtBefore failure occurs
Positive sequence node Injection CurrentNegative phase-sequence node Injection Current before failure occursZero sequence node Injection Current occurs for failureIn formula, Indicate that the positive sequence Injection Current of front nodal point k occurs for failure,Indicate the generator that k node is connected
Secondary transient potential, X'k'dIndicate the subtranient reactance for the generator that k node is connected, 1≤k≤n, n are number of nodes.
(2) the s sequence fault curre that failure boundary node t when failure u occurs is acquired in position is occurred according to short trouble uIf failure occurs to find out the s sequence fault current of failure boundary node t according to compound sequence network in system side
If failure, which occurs to draw in V/X wiring, becomes device low-pressure side, using tractive transformer high-voltage side bus as failure boundary node t,
Transition impedance when tractive transformer is as failure lists boundary condition equation according to fault type and tractive transformer structure
Group, and with the port equation group simultaneous at boundary node, find out 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 formulaElectric system s sequence node Injection Current column vector after finding out failureIn formula, For the s sequence node Injection Current column vector before failure,Therefore
Hinder the s sequence fault curre after u occurs at failure boundary node t,Column vector is corrected for s sequence fault current,ForT-th of element,Other elements are zero, 1≤u≤nf, nfFor short trouble quantity.
By using required fault current as the new Injection Current of the node, with each node injection circuit before failure
Superposition solves the Injection Current of each node after failure, is able to solve for since the access of V/X Connection Traction Transformer causes
Electric system is asymmetric, when system side and the V/X Connection Traction Transformer low-pressure side of asymmetric electric system break down simultaneously
The technical issues of rear acquisition fault current.
(4) admittance for not considering V/X Connection Traction Transformer, the electric system s sequence node admittance matrix before seeking failureIn formula, s=1,2,0, and 1 indicates positive sequence, and 2 indicate negative phase-sequence, and 0 indicates zero sequence.
(5) to the electric system s sequence node admittance matrix before failureIt inverts, obtains electric system s sequence node before failure
Impedance matrix
(6) according to formulaElectric system s sequence node voltage column vector after solution is out of orderFormula
In,For the electric system s sequence node Injection Current column vector after failure.
By above-mentioned formulaBring formula intoIt can obtain:
It then can be according to formulaEach node s sequence voltage column vector after solution failure, formula
In,For the s sequence voltage column vector of electric system before failure,For failure u occur after s sequence fault current amendment column to
Amount,For electric system s sequence node admittance matrix before failure.
(7) according to formulaAcquire electric system s sequence branch current after failureIn formula,The s sequence electric current of branch km between node k and node m after indicating failure,The s sequence of node k after indicating failure
Voltage,The s sequence voltage of node m after indicating failure,Electric system s sequence node admittance matrix before expression failure's
S row m column element, 1≤k≤n, 1≤m≤n, n are number of nodes.
When the system side of the asymmetric electric system of access V/X Connection Traction Transformer breaks down, using composite web sequence
Method solves the fault current of failure boundary node, when the asymmetric electric system of access V/X Connection Traction Transformer connects in V/X
When the Low-side faults of line tractive transformer occur, according to the structure of V/X Connection Traction Transformer and short trouble type, list
Boundary condition equation and port equation obtain the fault current of boundary node, the electric system node injection before being occurred by failure
The fault current of electric current column vector and above-mentioned failure boundary node obtains electric system node Injection Current column vector after failure, solution
Existing Symmetric Vector method of having determined can not to access V/X Connection Traction Transformer after asymmetric electric system any position into
The problem of row short-circuit analysis, in addition, since method provided by the invention uses the 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, it can be by method integration provided by the invention to now
In some symmetrical component method short-circuit analysis programs, realizes and the asymmetric Force system of electricity that V/X Connection Traction Transformer accesses is carried out
Short-circuit analysis calculates the program for being integrated with method provided by the invention comprising the not right of V/X Connection Traction Transformer
Claim electric system arbitrarily heavy failure.
Further comprising the steps of in embodiment provided by the invention: (8) are according to formulaIt will be propped up between failure posterior nodal point k and node m required by step (7)
The s sequence Injection Current of road kmIt is converted into branch km electric current between phase component lower node k and node m, according to formulaThe s sequence voltage of failure posterior nodal point t required by step (5) is turned
Turn to failure posterior nodal point t voltage under phase component;
In formula,A=ej120°,The A phase of branch km between failure posterior nodal point k and node m
Electric current,The B phase current of branch km between failure posterior nodal point k and node m,Between failure posterior nodal point k and node m
The C phase current of branch km,Branch km forward-order current between failure posterior nodal point k and node m,Failure posterior nodal point k and node
Branch km negative-sequence current between m,Branch km zero-sequence current between failure posterior nodal point k and node m,For failure after failure
The A phase voltage of node t,For the B phase voltage of malfunctioning node t after failure,For the C phase voltage of malfunctioning node t after failure,For the positive sequence voltage column vector of electric system after failureT row element,For the negative phase-sequence of electric system after failure
Node voltage column vectorT row element,For the zero sequence node voltage column vector of electric system after failureT
Row element.
In embodiment step (2) provided by the invention, 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, using fault point as failure boundary node, utilization is compound
Sequence net finds out the fault current at failure boundary node.
It is illustrated in figure 2 the wiring diagram of V/X Connection Traction Transformer, the transformer 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 transformer has two-phase T, F to connect feeder line and return wire, another rail R that connects, rail R ground connection respectively.
Step (2) is when short trouble u is in V/X Connection Traction Transformer low-pressure side unilateral side in embodiment provided by the invention
Ground short circuit occurs.
It is illustrated in figure 3 the unilateral single branch's short circuit of V/X Connection Traction Transformer low-pressure side, such as T2 phase ground short circuit, if
V/X Connection Traction Transformer high-voltage side bus node serial number is t, using t as failure boundary node, by V/X Connection Traction Transformer
Transition impedance Z when as failureTS, such situation is combination traction transformer of singlephase connection Low-side faults, boundary condition side
Journey group, and with the port equation group simultaneous at boundary node, solve after short trouble u after equation occurs C at failure boundary node t
Phase positive sequence fault curreC phase negative sequence fault current valueC phase zero sequence fault current
It is 0;
In formula, ZTSIndicate on high-tension side measurement impedance when three-winding transformer low-pressure side T-phase ground connection or F phase ground short circuit,
Ztt1For electric system positive sequence node admittance matrix before failureIn t row t column element, Ztt2It is negative for electric system before failure
Sequence node admittance matrixIn t row t column element.
It is illustrated in figure 4 the short circuit simultaneously of the double branches in low-pressure side side, 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, using t as boundary node, using V/X Connection Traction Transformer as when failure
Transition impedance ZTD, such situation is identical as T2 phase ground short circuit described in Fig. 3, therefore saves in simultaneous boundary condition equation group and boundary
Electric current after port equation group at point solves only need to be by ZTSChange Z intoTD, i.e. C at failure boundary node t after short trouble u occurs
Phase positive sequence fault curreC phase negative sequence fault current valueC phase zero sequence fault current
It is 0;
In formula, ZTDIndicate high pressure when 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 electric system positive sequence node admittance matrix before failureIn t row t column element, Ztt2For failure
Preceding electric system negative phase-sequence node admittance matrixIn t row t column element.
Step (2) occurs in low-pressure side two sides short circuit to occur as short trouble u in embodiment provided by the invention.
Be illustrated in figure 5 two three-phase windings transformers, two low-pressure sides while single branch, short-circuit occur, such as T1 phase and
Short-circuit when T2 is identical, if high voltage side of transformer bus nodes number is t, using t as 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 between B phase, according to boundary condition equation group
By Phase-Sequence Transformation and port equation group
Find out after short trouble u occurs s sequence fault curre at failure boundary node t
In equation,The s sequence fault current for being short trouble u at failure boundary node t,For short-circuit event
Hinder w phase fault electric current of the u at failure boundary node t,S sequence failure electricity of the short trouble u at failure boundary node t
Pressure,The w phase fault voltage for being short trouble u at failure boundary node t, ZttsIt is led for electric system s sequence node before failure
Receive matrixIn t row t column element,For the positive sequence voltage of failure u failure prior fault boundary node t, ZTSIndicate three
On high-tension side measurement impedance when winding transformer low-pressure side T-phase ground connection or F phase ground short circuit,For failure u failure prior fault
The positive sequence voltage of point t, s=1,2,0, and 1 indicates positive sequence, and 2 indicate negative phase-sequence, and 0 indicates that zero sequence, w=A, B, C, and A indicate A phase, b
Indicate B phase, C indicates C phase.
B phase positive sequence fault curre at failure boundary node t after short trouble u occurs after solution equationB phase negative sequence fault current valueThe event of B phase zero sequence
Hinder current value 0.
Fig. 6 show the double branch's short circuits simultaneously of low-pressure side two sides, i.e., short circuit and 2 phases are identical with F2 when T1 phase is identical with F1
When short circuit, if high voltage side of transformer bus nodes number is t, using t as 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 two sides double branches short circuit simultaneously, the same low pressure of purt condition equation of the double branches in low-pressure side two sides short circuit simultaneously
The purt condition equation of side two sides single branch short circuit simultaneously is identical.
B phase positive sequence fault curre at failure boundary node t after failure u occurs after solution equationB phase negative sequence fault current valueB phase zero-sequence fault
Current value 0.
Fig. 7 show the anisopleual short circuit of low-pressure side, i.e. side single spur track short circuit, the short circuit simultaneously of the double branches in the other side or
When phase fault, such as short circuit when the short circuit of T1 phase and T2 phase identical with F2, if high voltage side of transformer bus nodes number is t,
Using t as 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 between B phase, second transition impedance ZTSIt is connected between C phase and B phase, according to boundary condition equation group
By Phase-Sequence Transformation and port equation group
Find out after short trouble u occurs s sequence fault curre at failure boundary node t
In equation,The s sequence fault current for being short trouble u at the t of fault point,It is short trouble u in event
Hinder the w phase fault electric current at point t,S sequence false voltage of the short trouble u at the t of fault point,Exist for short trouble u
W phase fault voltage at the t of fault point, ZttsFor electric system s sequence node admittance matrix before failureIn t row t column member
Element,For the positive sequence voltage of failure u failure prior fault point t, ZTSIndicate that three-winding transformer low-pressure side T-phase ground connection or F connect
On high-tension side measurement impedance, Z when ground short circuitTDIndicate ground short circuit or T-phase, F when three-winding transformer low-pressure side T-phase, F are identical
On high-tension side measurement impedance when phase phase fault,For the positive sequence voltage of failure u failure prior fault point t, s=1,2,0, and 1 table
Show positive sequence, 2 indicate negative phase-sequence, and 0 indicates that zero sequence, w=A, B, C, and A indicate A phase, and B indicates B phase, and C indicates C phase.
B phase positive sequence fault curre at failure boundary node t after short trouble u occurs after solution equationB phase negative sequence fault current valueB phase phase zero sequence fault current
Value 0.
The method that failure generation position does not seek fault current simultaneously is listed in the present embodiment solves short circuit point at present
Short-circuit analysis can not be carried out to any position of the asymmetric electric system after this access V/X Connection Traction Transformer by analysing software
The problem of.
The present invention, which provides, calculates embodiment, in electric network composition as shown in Figure 8, V/X Connection Traction Transformer capacity:
40MVA;Voltage rating 220/27.5/27.5kV;Short-circuit impedance: T (F) phase ground short circuit: 13%, T, F alternate (ground connection) short circuit:
12%, it is folded to the side 40MVA.System equivalent potential per unit value:The per unit value of impedance: ZS=j0.2;Traction
Become the per unit value of the positive sequence impedance of power supply line as ZL1=0.0086+j0.0276, the per unit value of negative sequence impedance are ZL2=
0.0086+j0.0276, the per unit value of zero sequence impedance are ZL0=0.0258+j0.0828, system impedance and line impedance with
On the basis of 100MVA.It seeks being grounded in V/X Connection Traction Transformer low-pressure side generation T2 phase using method provided 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 F2 phase ground short circuit this five kinds of short troubles simultaneously, and pass through
PSCAD/EMTDC emulates to verify the correctness of analysis result, and comparing result is as shown in table 1, ignores by calculating bring error,
The calculated result of the method for the present invention and simulation result be completely the same, it was demonstrated that the correctness of the method for the present invention.
Table 1 seeks short circuit current after low-pressure side short trouble using method of the invention and using PSCAD/EMTDC emulation
Result compare
As it will be easily appreciated by one skilled in the art that the foregoing is merely illustrative of the preferred embodiments of the present invention, not to
The limitation present invention, any modifications, equivalent substitutions and improvements made within the spirit and principles of the present invention should all include
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, which is characterized in that including following steps
It is rapid:
(1) according to electric system s sequence node before the secondary transient potential of the connected generator of node and subtranient reactance acquisition failure
Injection Current column vector
(2) the s sequence fault current that position obtains failure boundary node t after failure u occurs is occurred according to failure uIf failure u
Occur in system side, then obtains the s sequence fault curre of failure boundary node t after failure u occurs according to compound sequence network
If short trouble u, which occurs to draw in V/X wiring, becomes device low-pressure side, using V/X Connection Traction Transformer high-voltage side bus as event
Hinder boundary node t, V/X Connection Traction Transformer is as transition impedance, according to fault type and V/X Connection Traction Transformer structure
List boundary condition equation group, and with the port equation group simultaneous at failure boundary node t, find out failure side after failure u occurs
The s sequence fault curre of boundary node t
(3) electric system s sequence node Injection Current column vector before the failure according to step (1)Event after occurring with failure u
Hinder the s sequence fault current of boundary node tElectric system s sequence node Injection Current column vector after obtaining failure
(4) according to the electric system s sequence node Injection Current column vector after failureIt is hindered with electric system s sequence node before failure
Anti- matrixElectric system s sequence node voltage column vector after obtaining failure
(5) according to the electric system s sequence node voltage column vector after failureWith electric system s sequence node admittance square before failure
Battle arrayObtain the s sequence electric current of the branch km between node k and node m
In formula,For electric system s sequence node admittance matrix before failure,For electric system s sequence node impedance square before failure
Battle array,For electric system s sequence node Injection Current column vector before failure,The s of failure boundary node t after occurring for failure u
Sequence fault current,For the electric system s sequence node Injection Current column vector after failure,Electric system s sequence section after failure
Point column voltage vector,Indicating the s sequence electric current of the branch km between node k and node m, s=1,2,0, and 1 indicates positive sequence,
2 indicate negative phase-sequence, and 0 indicates zero sequence.
2. Power System Shortcuts electric current acquisition methods according to claim 1, which is characterized in that in the step (4)
Before further include following steps:
The admittance for not considering V/X Connection Traction Transformer, electric system s sequence node is led before obtaining failure according to NETWORK STRUCTURE PRESERVING POWER SYSTEM
Receive matrix
To electric system s sequence node admittance matrix before the failureInverse transformation is carried out, electric system s sequence section before failure is obtained
Point impedance matrix
3. Power System Shortcuts electric current acquisition methods according to claim 1, which is characterized in that in the step (5)
Later further include following steps:
According to formulaBy failure posterior nodal point k required by step (5) and
The s sequence Injection Current of branch km between node mIt is converted into branch km electric current between phase component lower node k and node m, according to
FormulaBy the s sequence electricity of failure posterior nodal point t required by step (4)
Pressure is converted into failure posterior nodal point t voltage under phase component;
In formula,A=ej120°,The A phase current of branch km between failure posterior nodal point k and node m,The B phase current of branch km between failure posterior nodal point k and node m,The branch km between failure posterior nodal point k and node m
C phase current,Branch km forward-order current between failure posterior nodal point k and node m,It is propped up between failure posterior nodal point k and node m
Road km negative-sequence current,Branch km zero-sequence current between failure posterior nodal point k and node m,For the A of malfunctioning node t after failure
Phase voltage,For the B phase voltage of malfunctioning node t after failure,For the C phase voltage of malfunctioning node t after failure,For event
The positive sequence voltage column vector of electric system after barrierT row element,For the negative phase-sequence node voltage of electric system after failure
Column vectorT row element,For the zero sequence node voltage column vector of electric system after failureT row element.
4. Power System Shortcuts electric current acquisition methods as claimed in any of claims 1 to 3, which is characterized in that institute
When stating s=1, electric system positive sequence node Injection Current column vector before failureWhen s=2,
Electric system negative phase-sequence node Injection Current column vector before failureWhen s=0, electric system before failure
Zero sequence node Injection Current column vector
In formula,Indicate the positive sequence Injection Current of failure front nodal point k,Indicate the hair that k node is connected
The secondary transient potential of motor, X "kdIndicate the subtranient reactance for the generator that k node is connected, 1≤k≤n, n are number of nodes.
5. Power System Shortcuts electric current acquisition methods as claimed in any of claims 1 to 3, which is characterized in that institute
It states in step (2) when V/X Connection Traction Transformer low-pressure side bilateral list branch's short circuit, according to boundary condition equation groupBy Phase-Sequence Transformation and port equation group
Find out after short trouble u occurs s sequence fault curre at failure boundary node t
In equation,For failure u failure boundary node t s sequence fault current,It is failure u in failure boundary section
The w phase fault electric current of point t,Failure u failure boundary node t s sequence false voltage,It is failure u in failure boundary section
The w phase fault voltage of point t, ZttsFor electric system s sequence node admittance matrix before failureIn t row t column element,Therefore
Hinder the positive sequence voltage of prior fault boundary node t, ZTSIndicate three-winding transformer low-pressure side T-phase ground short circuit or F phase ground short circuit
When on high-tension side measurement impedance, ZTDIndicate ground short circuit or T-phase and F phase phase when 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 indicates positive sequence, and 2 indicate negative phase-sequences, and 0 indicates zero sequence, w=A, B, C, and
A indicates A phase, and B indicates B phase, and C indicates C phase.
6. Power System Shortcuts electric current acquisition methods as claimed in any of claims 1 to 3, which is characterized in that institute
It states in step (3) according to formulaElectric system s sequence node Injection Current column vector after obtaining failure
In formula,For electric system s sequence node Injection Current column vector before failure,Failure boundary section after occurring for failure u
The s sequence fault current of point t,S sequence fault current corrects column vector after occurring for failure u,ForT-th of element,
AndOther elements be zero, nfFor the quantity of failure,For the electric system s sequence node Injection Current column after failure
Vector, s=1,2,0, and 1 indicates positive sequence, and 2 indicate negative phase-sequence, and 0 indicates zero sequence, and 1≤t≤n, n are number of nodes.
7. Power System Shortcuts electric current acquisition methods as claimed in any of claims 1 to 3, which is characterized in that institute
It states in step (4) according to formulaElectric system s sequence node voltage column vector after finding out failure
In formula,For the electric system s sequence node Injection Current column vector after failure,For electric system s sequence section before failure
Point impedance matrix,Electric system s sequence node voltage column vector after failure, s=1,2,0, and 1 indicates positive sequence, and 2 indicate negative
Sequence, 0 indicates zero sequence.
8. Power System Shortcuts electric current acquisition methods as claimed in any of claims 1 to 3, which is characterized in that institute
It states in step (5) according to formulaFind out the s of the branch km between node k and node m after failure
Sequence electric current
In formula,Indicate failure after between node k and node m branch km s sequence electric current,Indicate failure posterior nodal point k
S sequence voltage,Indicate the s sequence voltage of failure posterior nodal point m,Electric system s sequence node admittance matrix before expression failureRow k m column element,For electric system s sequence node admittance matrix before failure, s=1,2,0, and 1 indicates positive sequence, 2
Indicate negative phase-sequence, 0 indicates zero sequence, and 1≤k≤n, 1≤m≤n, n are number of nodes.
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CN111965478B (en) * | 2020-06-30 | 2023-10-20 | 中国电力科学研究院有限公司 | Method and system for determining short-circuit current by considering phase shifting effect of transformer |
CN113281560B (en) * | 2021-05-19 | 2022-11-04 | 云南电网有限责任公司电力科学研究院 | Method and device for acquiring maximum short-circuit current value of in-service transformer |
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