CN106908692B - A kind of adaptive reclosing judgment method of transmission line one-phase earth fault - Google Patents

A kind of adaptive reclosing judgment method of transmission line one-phase earth fault Download PDF

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CN106908692B
CN106908692B CN201710123414.7A CN201710123414A CN106908692B CN 106908692 B CN106908692 B CN 106908692B CN 201710123414 A CN201710123414 A CN 201710123414A CN 106908692 B CN106908692 B CN 106908692B
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CN106908692A (en
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王宾
陆元园
董新洲
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Tsinghua University
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    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R31/00Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
    • G01R31/08Locating faults in cables, transmission lines, or networks
    • G01R31/081Locating faults in cables, transmission lines, or networks according to type of conductors
    • G01R31/085Locating faults in cables, transmission lines, or networks according to type of conductors in power transmission or distribution lines, e.g. overhead
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R31/00Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
    • G01R31/08Locating faults in cables, transmission lines, or networks
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Abstract

A kind of adaptive reclosing judgment method of transmission line one-phase earth fault, the three-phase voltage and three-phase current for acquiring two moment in the side of transmission line of electricity are as input quantity;Corresponding positive and negative, residual voltage, electric current phasor are calculated using the voltage at two moment measured, electric current;Based on Transmission Line Distributed Parameter model, it is directed to two kinds of possible fault types of permanent singlephase earth fault and transient single-phase earth fault respectively, establishes equation and describes the voltage of transmission line of electricity two sides, current relationship, obtain two groups of Nonlinear System of Equations;Using measuring point to the electrical source voltage of side system, equivalent system impedance, fault distance and transition resistance as unknown quantity, solve the Nonlinear System of Equations established, the fault localization result for two groups of Nonlinear System of Equations is obtained respectively, and seek its ratio, ratio is less than threshold value and then judges that single-phase permanent earth fault, lock-reclosing lock function has occurred;Otherwise it is judged as and single-phase instantaneity ground fault has occurred, implements reclosing.

Description

A kind of adaptive reclosing judgment method of transmission line one-phase earth fault
Technical field
The present invention relates to protecting electrical power system and control field, in particular to a kind of transmission line one-phase earth fault is adaptive Answer reclosing judgment method.
Technical background
Automatic reclosing technology obtains commonly used on 110kV above transmission line of electricity, connects for instantaneity Earth fault can automatic recovery of power supply, but if it is permanent earth fault, electric system will be generated by implementing reclosing Secondary pulse affects the stability of system.Therefore, adaptive reclosing technology has obtained extensive concern.
Failure phase line is due to non-after existing adaptive reclosing technology mainly utilizes failure phase two sides circuit breaker trip The fault signature that secondary arc current and Coupling Between Phases of failure phase line etc. induce, to recognize whether stable ground connection branch Road, so that distinguishing is instantaneity ground fault or permanent earth fault.But since Coupling Between Phases or secondary arc current generate Fault signature it is more faint, identify whether to be permanent earth just with the information after the circuit breaker trip of fault point two sides Failure success rate is not high, is not also widely used in the power system at present.
National inventing patent " transmission line one-phase earth fault method of single end distance measurement ", application number: 201310415348.2.Fault localization problem is switched into the identification problem to wire topologies, is occurred using transmission line of electricity single After phase ground fault and two sides breaker do not trip before and route two sides failure phase circuit breaker trip after and be overlapped Single-end electrical quantity when the first two of lock under discontinuity surface describes the monitored equation of line, and information content is double, therefore can be accurate Fault distance is obtained, but not can solve the problem of adaptive reclosing differentiates, discovery is based on two times in the course of the research The information of section, it is assumed that failure is to attend as a nonvoting delegate equation under two topological structures of instantaneity ground fault and permanent earth fault Group simultaneously calculates fault distance, and the error of fault localization can directly reflect the difference of fault type, the main reason is that stable Fault branch whether there is the stability that will directly influence failure phase line voltage under the moment 2, and the stability will be direct Lead to the size of range error, therefore Fault Location Algorithm can further be expanded as adaptive reclosing algorithm.
Summary of the invention
The purpose of the present invention is overcome the shortcoming of prior art, a kind of instantaneous single-phase earthing event of transmission line of electricity of proposition Hinder adaptive reclosing judgment method, Fault Location Algorithm can further be expanded as adaptive reclosing algorithm, the algorithm Based on single-end electrical quantity, do not influenced by communication;It is modeled, is not influenced by capacitance current using distribution parameter, not by transition Resistance, load current, opposite side system impedance influence, and have very high practical value.
In order to achieve the above object, the technical solution of the present invention is as follows:
A kind of adaptive reclosing judgment method of the instantaneous singlephase earth fault of transmission line of electricity, comprising the following steps:
(1) defeated hypothesis electric line is the side M, in transmission line of electricity either side, measures open circuit after faulty line singlephase earth fault The three-phase voltage phasor U at moment, that is, moment 1 before the single-phase tripping of devicemfa、Umfb、UmfcWith three-phase current phasor Imfa、Imfb、Imfc, with And after measurement failure phase circuit breaker trip before reclosing moment, that is, moment 2 three-phase voltage phasor Umha、Umhb、UmhcAnd electric current Phasor Imha、Imhb、Imhc, above-mentioned measurement is as input quantity;By following formula be calculated corresponding positive sequence of above-mentioned two moment, negative phase-sequence, Residual voltage phasor Umf1、 Umf2、Umf0With electric current phasor Imf1、Imf2、Imf0And Umh1、Umh2、Umh0With positive sequence, negative phase-sequence, zero sequence Electric current phasor Imh1、Imh2、Imh0:
Wherein a=ej2π/3
(2) voltage that is calculated using step (1), current sequence components establish the electricity that equation describes transmission line of electricity two sides Pressure, current relationship, obtain two groups of Nonlinear System of Equations:
Transmission line of electricity two sides voltage-current relationship equation group (1) under permanent singlephase earth fault is described are as follows:
Transmission line of electricity two sides voltage-current relationship equation group (2) under transient single-phase earth fault is described are as follows:
Wherein Unhy1、Unhy2、Unhy0、Inhy1、Inhy2、Inhy0Indicate that the lower hypothesis failure of moment 2 is permanent single-phase earthing event Under barrier, positive sequence voltage, negative sequence voltage, residual voltage, positive sequence electricity based on the route opposite side (side N) that equation group (1) is calculated Stream, negative-sequence current, zero-sequence current phasor;Unhs1、Unhs2、Unhs0、 Inhs1、Inhs2、Inhs0Indicate that the lower hypothesis failure of moment 2 is wink Under when property singlephase earth fault, the positive sequence voltage of the route opposite side (side N) being calculated based on equation group (2), negative sequence voltage, Residual voltage, forward-order current, negative-sequence current, zero-sequence current phasor;L is transmission line length, γ1For positive sequence propagation coefficient:γ0For zero sequence propagation coefficient: Zc1For positive sequence Wave impedance:R1、L1、G1、C1The respectively positive sequence resistance of unit length route, electricity Sense, conductance and capacitance;
Zc0For zero sequence wave impedance:R0、L0、G0、C0Respectively unit length line Zero sequence resistance, inductance, conductance and the capacitance on road;
A is voltage Transfer coefficient matrices, and B is impedance matrix, and C is admittance matrix, and D is electric current Transfer coefficient matrices, specifically It is defined as follows:
(3), two groups of three sequence voltages of the side N, electric current phasor U will be calculated in step (2)nhy1、Unhy2、 Unhy0、Inhy1、 Inhy2、Inhy0And Unhs1、Unhs2、Unhs0、Inhs1、Inhs2、Inhs0Following formula is substituted into, respectively obtaining calculating based on failure is permanently to connect The side N three-phase voltage, the electric current phasor U of earth fault hypothesisnhya、Unhyb、 Unhyc、Inhya、Inhyb、Inhyc, and it is instantaneous for being based on failure Property ground fault assume the side N three-phase voltage, electric current phasor Unhsa、Unhsb、Unhsc、Inhsa、Inhsb、Inhsc:
(4) unknown quantity: the side system N potential E is setN, positive sequence impedance ZN1,ZN0, fault resstance R, fault point and the side system M it Between distance account for the percentage x of line length;Assuming that failure is permanent singlephase earth fault, following equation group (3) are write out:
Wherein: ZsFor system side self-impedanceZmFor system side mutual impedance
The relevant parameter that will be measured or be calculated in step (1)-(4) substitutes into (3), and by non-linear Complex in (3) Group separation real part imaginary part, is converted to the Nonlinear System of Equations of real number, the zero sequence impedance Z of the side given system NN0, use improved height This-Newton method Levenbery-Marquardt method solved, it can must assume that failure is the fault point under permanent fault The distance between side system M accounts for the percentage x of line lengthy
(5) assume that failure is transient single-phase earth fault, write out following equation group (4):
The relevant parameter that will be measured or be calculated in step (1)-(4) substitutes into (4), and by non-linear Complex in (4) Group separation real part imaginary part, is converted to the Nonlinear System of Equations of real number, the zero sequence impedance Z of the side given system NN0, use improved height This-Newton method method solved, it can must assume that failure is the distance between fault point and the side system M under transient fault Account for the percentage x of line lengths
6) ratio=is defined | xy-xs| × 100, instantaneity is (silent through small resistance at preparatory simulation calculation route proximal outlet Recognize 10 ohm of value) singlephase earth fault occur when ratio value as threshold value;If the ratio value being actually calculated is small Then judge that single-phase permanent earth fault, lock-reclosing lock function has occurred in threshold value;Otherwise be judged as have occurred it is single-phase instantaneous Property ground fault, implement reclosing.
The features of the present invention and effect:
Before the present invention utilizes monitored transmission line of electricity generation singlephase earth fault later and two sides breaker does not trip, And inscribed after the failure phase circuit breaker trip of route two sides and when the first two of reclosing, it is assumed that failure is permanently to connect Earth fault and instantaneity ground fault, column write equation group and seek fault distance deviation, and equation group is to transmission line of electricity physical fault shape The description accuracy of state will be reacted directly into the deviation of fault distance solution, therefore instantaneity or permanent fault type identification Accurately, and this method is based on single-end electrical quantity, is not influenced by communication;The method of the present invention is modeled using distribution parameter, is not distributed The influence of capacitance current is not influenced by transition resistance, load, opposite side system impedance, has very high practical value.
Detailed description of the invention
Fig. 1 is traditional transmission system model of 220kV a kind of.
Specific embodiment
The present invention is described in detail in the following with reference to the drawings and specific embodiments.
Embodiment one
A kind of traditional transmission system model of 220kV is as shown in Figure 1, line length is 100km, line parameter circuit value value such as table 1 It is shown;System M side potential is 220 ∠ 0okV;System M side zero sequence impedance is 26.3 ∠ 90oΩ;Positive sequence impedance are as follows: 29.3 ∠ 90o Ω;System N side potential is 220 ∠ 30okV;System N side zero sequence impedance is 28.14 ∠ 86.74oΩ;Positive sequence impedance are as follows: 32.0 ∠ 78.4oΩ.It is mounted on the side system M using the fault location device of the method for the present invention, voltage, electric current are respectively from line side voltage Mutual inductor, current transformer.Simulated fault type is A phase permanent earth fault, and failure occurs at away from system M side 50km, 100 Ω of transition resistance.
1 220kV transmission line of electricity major parameter of table
Using the embodiment of the method for the present invention, specific step is as follows:
(1) A, B, C three-phase voltage phase behind M side system side, measurement faulty line singlephase earth fault before single-phase tripping Measure Umfa、Umfb、UmfcWith electric current phasor Imfa、Imfb、ImfcAnd A, B, C three-phase voltage phase after single-phase tripping before reclosing Measure Umha、Umhb、UmhcWith electric current phasor Imha、Imhb、ImhcAs input quantity:
After singlephase earth fault, before the single-phase tripping of breaker:
A phase voltage Umfa=-165.85-j 3.7579kV, B phase voltage Umfb=60.379+j157.27 kV
C phase voltage Umfc=105.98j 132.46kV
A phase current Imfa=0.1139+j 0.48731kA, B phase current Imfb=-0.079284-j 1.0397kA
C phase current Imfc=-0.83508+j 0.57169kA
After the single-phase tripping of breaker, before reclosing:
A phase voltage Umha=1.6321-j 6.8967kV, B phase voltage Umhb153.34 kV of=62.908+j
C phase voltage Umhc=108.51-j 136.39kV
A phase current Imha=0kA, B phase current Imhb=0.06361-j 0.9579kA
C phase current Imhc=-0.69219+j 0.65348kA
By the positive sequence voltage phasor U before single-phase tripping after following formula calculating faulty line singlephase earth faultmf1, negative sequence voltage Phasor Umf2, residual voltage phasor Umf0, forward-order current phasor Imf1, negative-sequence current phasor Imf2, zero-sequence current phasor Imf0, and be Unite positive and negative, residual voltage phasor U of the side M after the single-phase tripping in route two sides before single-phase automation reclosingmh1、Umh2、Umh0 And positive and negative, zero-sequence current phasor Imh1、Imh2、 Imh0:
(2) it is calculated:
Positive sequence wave impedance Zc1:
Zero sequence wave impedance Zc0:
Positive sequence propagation coefficient γ1:
Zero sequence propagation coefficient γ0:
The voltage at two moment that step 1) is calculated, current sequence components substitute into equation group (1),
(2), it obtains:
(3) two groups of three sequence voltages of the side N, electric current phasor U will be calculated in step 2)nhy1、Unhy2、Unhy0、 Inhy1、Inhy2、 Inhy0And Unhs1、Unhs2、Unhs0、Inhs1、Inhs2、Inhs0Following formula is substituted into, respectively obtaining calculating based on failure is permanent earth event Hinder the side the N three-phase voltage assumed, electric current phasor Unhya、Unhyb、Unhyc、 Inhya、Inhyb、Inhyc, and connect for instantaneity based on failure The side N three-phase voltage, the electric current phasor U of earth fault hypothesisnhsa、Unhsb、Unhsc、Inhsa、Inhsb、Inhsc:
(4) unknown quantity: the side system N potential E is setN, positive sequence impedance ZN1,ZN0, fault resstance R, fault point and the side system M it Between distance account for the percentage x of line length;The relevant parameter that will be measured or be calculated in step (1)-(4) substitutes into formula (3), real part imaginary part and by nonlinear complex equations in (3) is separated, is converted to the Nonlinear System of Equations of real number, the side given system N Zero sequence impedance ZN0=28.14 ∠ 86.7 assume that failure is permanent fault using improving Gauss-Newton method method and being calculated Under fault point and the distance between the side system M account for the percentage x of line lengthy=0.49994.
(5) unknown quantity: the side system N potential E is equally setN, positive sequence impedance ZN1,ZN0, fault resstance R, fault point and system M The distance between side accounts for the percentage x of line length;The relevant parameter that will be measured or be calculated in step (1)-(4) substitutes into Formula (4), and nonlinear complex equations in (4) are separated into real part imaginary part, it is converted to the Nonlinear System of Equations of real number, given system N The zero sequence impedance Z of sideN0=28.14 ∠ 86.7 assume that failure is instantaneity using improving Gauss-Newton method method and being calculated The distance between fault point and the side system M under failure account for the percentage x of line lengths=0.50019.
(6) ratio=is calculated | xy-xs| × 100=0.025 passes through instantaneity at preparatory simulation calculation route proximal outlet Ratio value when small resistance (10 ohm of value of default) singlephase earth fault occurs is used as threshold value for 0.9818, at this time practical meter Calculating ratio value is 0.025 less than threshold value, therefore judges that failure for permanent fault, is not overlapped.
Embodiment two
A kind of traditional transmission system model of 220kV is as shown in Figure 1, line length is 100km, line parameter circuit value value such as table 1 It is shown;System M side potential is 220 ∠ 0okV;System M side zero sequence impedance is 26.3 ∠ 90oΩ;Positive sequence impedance are as follows: 29.3 ∠ 90o Ω;System N side potential is 220 ∠ 30okV;System N side zero sequence impedance is 28.14 ∠ 86.74oΩ;Positive sequence impedance are as follows: 32.0 ∠ 78.4oΩ.It is mounted on the side system M using the fault location device of the method for the present invention, voltage, electric current are respectively from line side voltage Mutual inductor, current transformer.Simulated fault type is A phase instantaneity ground fault, and failure occurs at away from system M side 50km, 100 Ω of transition resistance.
1 220kV transmission line of electricity major parameter of table
Using the embodiment of the method for the present invention, specific step is as follows:
1) A, B, C three-phase voltage phase behind M side system side, measurement faulty line singlephase earth fault before single-phase tripping Measure Umfa、Umfb、UmfcWith electric current phasor Imfa、Imfb、ImfcAnd A, B, C three-phase voltage phase after single-phase tripping before reclosing Measure Umha、Umhb、UmhcWith electric current phasor Imha、Imhb、ImhcAs input quantity:
After singlephase earth fault, before the single-phase tripping of breaker:
A phase voltage Umfa=-165.85-j 3.7579kV, B phase voltage Umfb=60.379+j157.27 kV
C phase voltage Umfc=105.98j 132.46kV
A phase current Imfa=0.1139+j 0.48731kA, B phase current Imfb=-0.079284-j 1.0397kA
C phase current Imfc=-0.83508+j 0.57169kA
After the single-phase tripping of breaker, before reclosing:
A phase voltage Umha=24.112-j 2.1296kV, B phase voltage Umhb153.34 kV of=62.889+j
C phase voltage Umhc=108.49-j 136.4kV
A phase current Imha=0kA, B phase current Imhb=0.063751-j 0.95851kA
C phase current Imhc=-0.69204+j 0.65287kA
By the positive sequence voltage phasor U before single-phase tripping after following formula calculating faulty line singlephase earth faultmf1, negative sequence voltage Phasor Umf2, residual voltage phasor Umf0, forward-order current phasor Imf1, negative-sequence current phasor Imf2, zero-sequence current phasor Imf0, and be Unite positive and negative, residual voltage phasor U of the side M after the single-phase tripping in route two sides before single-phase automation reclosingmh1、Umh2、Umh0 And positive and negative, zero-sequence current phasor Imh1、Imh2、 Imh0:
2) it is calculated:
Positive sequence wave impedance Zc1:
Zero sequence wave impedance Zc0:
Positive sequence propagation coefficient γ1:
Zero sequence propagation coefficient γ0:
The voltage at two moment that step 1) is calculated, current sequence components substitute into equation group (1), (2), obtain:
3) two groups of three sequence voltages of the side N, electric current phasor U will be calculated in step 2)nhy1、Unhy2、Unhy0、 Inhy1、Inhy2、 Inhy0And Unhs1、Unhs2、Unhs0、Inhs1、Inhs2、Inhs0Following formula is substituted into, respectively obtaining calculating based on failure is permanent earth event Hinder the side the N three-phase voltage assumed, electric current phasor Unhya、Unhyb、Unhyc、 Inhya、Inhyb、Inhyc, and connect for instantaneity based on failure The side N three-phase voltage, the electric current phasor U of earth fault hypothesisnhsa、Unhsb、Unhsc、Inhsa、Inhsb、Inhsc:
4) unknown quantity: the side system N potential E is setN, positive sequence impedance ZN1,ZN0, fault resstance R, fault point and the side system M it Between distance account for the percentage x of line length;The relevant parameter that will be measured or be calculated in step (1)-(4) substitutes into formula (3), real part imaginary part and by nonlinear complex equations in (3) is separated, is converted to the Nonlinear System of Equations of real number, the side given system N Zero sequence impedance ZN0=28.14 ∠ 86.7 assume that failure is permanent fault using improving Gauss-Newton method method and being calculated Under fault point and the distance between the side system M account for the percentage x of line lengthy=1.0891.
5) unknown quantity: the side system N potential E is equally setN, positive sequence impedance ZN1,ZN0, fault resstance R, fault point and system M The distance between side accounts for the percentage x of line length;The relevant parameter that will be measured or be calculated in step (1)-(4) substitutes into Formula (4), and nonlinear complex equations in (4) are separated into real part imaginary part, it is converted to the Nonlinear System of Equations of real number, given system N The zero sequence impedance Z of sideN0=28.14 ∠ 86.7 assume that failure is instantaneity using improving Gauss-Newton method method and being calculated The distance between fault point and the side system M under failure account for the percentage x of line lengths=0.50006.
6) ratio=is calculated | xy-xs| × 100=58.904 passes through instantaneity at preparatory simulation calculation route proximal outlet Ratio value when small resistance (10 ohm of value of default) singlephase earth fault occurs is used as threshold value for 0.9818, at this time practical meter Calculating ratio value is 58.904 much larger than threshold value, therefore judges that failure for transient fault, carries out reclosing.

Claims (1)

1. a kind of adaptive reclosing judgment method of the instantaneous singlephase earth fault of transmission line of electricity, which is characterized in that including following step It is rapid:
(1) in transmission line of electricity either side, it is assumed that in the side M of transmission line of electricity, measure breaker after faulty line singlephase earth fault The three-phase voltage phasor U at moment, that is, moment 1 before single-phase trippingmfa、Umfb、UmfcWith three-phase current phasor Imfa、Imfb、Imfc, and Measure the three-phase voltage phasor U at moment, that is, moment 2 before reclosing after failure phase circuit breaker tripmha、Umhb、UmhcWith electric current phase Measure Imha、Imhb、Imhc, above-mentioned measurement is as input quantity;Corresponding positive sequence of above-mentioned two moment, negative phase-sequence, zero are calculated by following formula Sequence voltage phasor Umf1、Umf2、Umf0With positive sequence, negative phase-sequence, zero-sequence current phasor Imf1、Imf2、Imf0And positive sequence, negative phase-sequence, zero sequence electricity Press phasor Umh1、Umh2、Umh0With positive sequence, negative phase-sequence, zero-sequence current phasor Imh1、Imh2、Imh0:
Wherein a=ej2π/3
(2) voltage that is calculated using step (1), current sequence components are established equation and describe the voltage of transmission line of electricity two sides, electricity Flow relation obtains two groups of Nonlinear System of Equations:
Transmission line of electricity two sides voltage-current relationship equation group (1) under permanent singlephase earth fault is described are as follows:
Transmission line of electricity two sides voltage-current relationship equation group (2) under transient single-phase earth fault is described are as follows:
Wherein Unhy1、Unhy2、Unhy0、Inhy1、Inhy2、Inhy0Indicate the moment 2 it is lower assume that failure is under permanent singlephase earth fault, The transmission line of electricity opposite side i.e. positive sequence voltage, negative sequence voltage of the side N, residual voltage, the positive sequence electricity being calculated based on equation group (1) Stream, negative-sequence current, zero-sequence current phasor;Unhs1、Unhs2、Unhs0、Inhs1、Inhs2、Inhs0Indicate that the lower hypothesis failure of moment 2 is instantaneous Property singlephase earth fault under, positive sequence voltage, the negative sequence voltage, zero sequence of the transmission line of electricity opposite side being calculated based on equation group (2) Voltage, forward-order current, negative-sequence current, zero-sequence current phasor;L is transmission line length, γ1For positive sequence propagation coefficient:γ0For zero sequence propagation coefficient:
Zc1For positive sequence wave impedance:R1、L1、G1、C1Respectively unit length power transmission line Positive sequence resistance, inductance, conductance and the capacitance on road;
Zc0For zero sequence wave impedance:R0、L0、G0、C0Respectively unit length power transmission line Zero sequence resistance, inductance, conductance and the capacitance on road;
A is voltage Transfer coefficient matrices, and B is impedance matrix, and C is admittance matrix, and D is electric current Transfer coefficient matrices, is specifically defined It is as follows:
(3), two groups of three sequence voltages of the side N, electric current phasor U will be calculated in step (2)nhy1、Unhy2、Unhy0、Inhy1、Inhy2、 Inhy0And Unhs1、Unhs2、Unhs0、Inhs1、Inhs2、Inhs0Following formula is substituted into, respectively obtaining calculating based on failure is permanent earth event Hinder the side the N three-phase voltage assumed, electric current phasor Unhya、Unhyb、Unhyc、Inhya、Inhyb、Inhyc, and connect for instantaneity based on failure The side N three-phase voltage, the electric current phasor U of earth fault hypothesisnhsa、Unhsb、Unhsc、Inhsa、Inhsb、Inhsc:
(4) unknown quantity: the side N potential E is setN, positive sequence impedance ZN1,ZN0, fault resstance Rg, the distance between fault point and the side M account for The percentage x of transmission line length;Assuming that failure is permanent singlephase earth fault, following equation group (3) are write out:
Wherein: ZsFor the side N self-impedanceZmFor the side N mutual impedance
The relevant parameter that will be measured or be calculated in step (1)-(4) substitutes into equation group (3), and will be non-thread in equation group (3) Property Complex group separate real part imaginary part, be converted to the Nonlinear System of Equations of real number, the zero sequence impedance Z of the side given system NN0, use Improved Guass-Newton method Levenbery-Marquardt method is solved, and can must assume that failure is under permanent fault Fault point and the distance between the side system M account for the percentage x of transmission line lengthy
(5) assume that failure is transient single-phase earth fault, write out following equation group (4):
The relevant parameter that will be measured or be calculated in step (1)-(4) substitutes into equation group (4), and will be non-thread in equation group (4) Property Complex group separate real part imaginary part, be converted to the Nonlinear System of Equations of real number, the zero sequence impedance Z of the side given system NN0, use Improved Guass-Newton method method is solved, can must assume failure be transient fault under fault point and the side system M it Between distance account for the percentage x of transmission line lengths
6) ratio=is defined | xy-xs| × 100, instantaneity is single-phase through small resistance at preparatory simulation calculation transmission line of electricity proximal outlet For ratio value when ground fault occurs as threshold value, small resistance defaults 10 ohm of value;If the ratio being actually calculated Value is less than threshold value and then judges that single-phase permanent earth fault, lock-reclosing lock function has occurred;Otherwise be judged as have occurred it is single-phase Instantaneity ground fault implements reclosing.
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