CN105044551B - A kind of overhead line high-tension cable mixed line fault localization method - Google Patents
A kind of overhead line high-tension cable mixed line fault localization method Download PDFInfo
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
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Abstract
The invention provides a kind of overhead line high-tension cable mixed line fault localization method, including:(1) difference measurement circuitry both sides M, three-phase voltage, the electric current phasor of N-terminal point, negative sequence voltage, negative-sequence current, positive sequence voltage, the forward-order current of both sides are calculated respectively with symmetrical component method;(2) according to negative sequence voltage, failure judgement type;(3) if asymmetric fault, by the three-phase voltage of Two-Terminal Electrical Quantities M sides and N sides, electric current phasor calculate respectively along each point negative sequence voltage amplitude, the equal point of negative sequence voltage amplitude is trouble point;(4) if three-phase symmetrical failure, fault location is carried out using the method for positive sequence voltage variable quantity amplitude com parison, the equal point of positive sequence voltage amplitude variable quantity is trouble point.The present invention is directed to the parameter characteristic of overhead line cable series-parallel connection circuit, does not require Two-Terminal Electrical Quantities synchronization, it is not necessary to first carries out fault section judgement, identifies problem in the absence of pseudo- root, various fast search algorithms can be used in abort situation search procedure.
Description
Technical field
The present invention relates to a kind of method of field of relay protection in power, in particular to a kind of overhead line-high-tension electricity
Cable mixed line fault localization method.
Background technology
With China urban construction and development and the needs of environment, overhead line-high-tension cable joint line is distinctive excellent with its
Application of the gesture in power transmission and distribution project is more and more extensive.It is precisely fixed as quickly as possible when extra high voltage network breaks down
Position failure simultaneously cuts off failure, reduces the loss that failure is brought to power equipment and system, improves the reliability of Operation of Electric Systems
And security, tool are of great significance.
For the research of super-pressure series-parallel connection line fault positioning, according to the difference of range measurement principle, traveling wave method and event can be divided into
Hinder the class of analytic approach two.
Traveling wave method is according to the method that traveling wave theory realizes ranging after line fault.Consider series-parallel connection circuit difference section
The characteristics of velocity of wave difference, the Algorithms of Travelling Wave Based Fault Location applied at present mainly have the velocity of wave normalizing of single-ended method, both-end method and different sections
Method etc., have speed it is fast, substantially not by transition Resistance Influence the advantages that.But work as and Multi sectional and multiple spot compensation in joint line be present
When, fault traveling wave is easily influenceed by the multiple catadioptric of traveling wave at cable-aerial wire bonding, wave head be present and is not easy to catch, and surveys
Away from success rate it is relatively low the shortcomings of.
Fault analytical method is that the voltage x current for having related parameter and point distance measurement according to system lists range equation, and it is divided
Analysis calculates, and obtains trouble point to a kind of method of the distance between point distance measurement.The series-parallel connection line fault analysis ranging applied at present
Algorithm mainly has following several:(1) trouble point searching algorithm based on fault point voltage amplitude etc., its algorithm principle is simple, but
Computationally intensive and pseudo- root identification when calculating be present in application circuit distributed constant.(2) establish and be based on fault point voltage electric current side
The range function of journey, is solved to abort situation, and this method generic function for joint line is more complicated, is calculated
The degree of accuracy that precision is gathered by electrical quantity has a great influence, and the problem of distance measurement result robustness is not high be present.
The content of the invention
To overcome above-mentioned the deficiencies in the prior art, the present invention provides a kind of overhead line-high-tension cable mixed line fault and determined
Position method.
Solution is used by realizing above-mentioned purpose:
A kind of overhead line-high-tension cable mixed line fault localization method, this method comprise the following specific steps that:
Measurement obtains circuit both sides M, N-terminal point three-phase voltage, electric current phasor, and both sides are obtained respectively with symmetrical component method
Negative sequence voltage, negative-sequence current, positive sequence voltage, forward-order current;
According to negative sequence voltage, failure judgement type is asymmetric fault or three-phase symmetrical failure;
For asymmetric fault, calculated respectively by the three-phase voltage of Two-Terminal Electrical Quantities M sides and N sides, electric current phasor each along the line
Then point negative sequence voltage amplitude is compared, realize fault location;
For three-phase symmetrical failure, fault location is carried out using the method for positive sequence voltage variable quantity amplitude com parison.
Measurement obtains circuit both sides M, N-terminal point three-phase voltage, electric current phasor, and both sides are obtained respectively with symmetrical component method
Negative sequence voltage, negative-sequence current, positive sequence voltage, forward-order current include:
Line protective devices measure the circuit both sides M, N-terminal point three-phase voltage, electric current phasor And
According to the voltage phasor of measurement, electric current phasor, negative sequence voltage, the negative phase-sequence of both sides are obtained respectively with symmetrical component method
Electric current, positive sequence voltage, forward-order current:Wherein each ginseng
Several subscripts 1 represents positive order parameter, and subscript 2 represents negative phase-sequence parameter.
Whether it is zero according to negative sequence voltage, failure judgement type is that asymmetric fault or three-phase symmetrical failure include:
Then fault type is three-phase symmetrical failure;
Then fault type is asymmetric fault.
For asymmetric fault, calculated respectively by the three-phase voltage of Two-Terminal Electrical Quantities M sides and N sides, electric current phasor each along the line
Then point negative sequence voltage amplitude is compared, realize that fault location includes:
Using M end points as measurement point, by the negative sequence voltage of failure phaseNegative-sequence currentThe negative phase-sequence for calculating M points moves ahead
RippleWith the anti-traveling wave of negative phase-sequenceAmplitude and phase;
Preceding traveling wave is:
Anti- traveling wave is:
Wherein,For the uniform overhead transmission line negative phase-sequence wave impedance of parameter;
R2For the uniform overhead transmission line negative sequence resistance of parameter;L2For the uniform overhead transmission line negative phase-sequence inductance of parameter;G2For the uniform overhead transmission line of parameter
Negative phase-sequence conductance;C2For the uniform overhead transmission line negative phase-sequence electric capacity of parameter;ω=2 π f, f are ac frequency;I is imaginary part;
By setting step delta x, with fast search algorithm calculate faulty line in any point x negative phase-sequence traveling wave amplitude attenuation and
Phase delay A2(x);
Wherein,For negative phase-sequence attenuation constant;β2It is negative
The real part of sequence attenuation constant;α2For the imaginary part of negative phase-sequence attenuation constant;A2(x) phase delay is directly proportional to calculating point distance x, and
Amplitude attenuation part therein is exponential relationship with trouble point distance, is difficult to directly calculate in actual device, typically by tabling look-up
To realize, larger memory space can be taken when Searching point is a lot;
To reduce operand and saving memory space, amplitude attenuation part is used into Taylor series expansion:
Wherein, | A2(x) | it is the amplitude of negative phase-sequence traveling wave amplitude attenuation;
Wherein β value is very small, circuit be not it is especially long in the case of above formula can reach using linear equivalence it is very high
Precision;
Due to being not aware that the position of trouble point when calculating, therefore the result of calculation before abort situation is joint line
In it is real along negative sequence voltage, result of calculation after abort situation is negative sequence voltage along false, by negative phase-sequence traveling wave width
Value decays and phase delay, negative sequence voltage along calculating
By negative sequence voltage along the lineThe amplitude of negative sequence voltage along calculating
When calculating point arrival cable area, because cable data is different from overhead line parameter, therefore can not continue to use
Overhead line head end voltage calculates.The voltage at overhead line-cable connection point being now calculated is top voltage and used
Cable data continues the calculating of each point negative sequence voltage amplitude along cable sections;
Using N-terminal point as measurement point, can similarly obtain along negative sequence voltageAmplitude
For traveling wave before the negative phase-sequence of N points,Born for N points
The anti-traveling wave of sequence;
It is as follows as measurement point detailed measurements, calculating process using N-terminal point:
By the negative sequence voltage of failure phaseNegative-sequence currentTraveling wave before the negative phase-sequence of calculating N pointsWith the anti-row of negative phase-sequence
RippleAmplitude and phase;
Preceding traveling wave is:
Anti- traveling wave is:
Wherein,For the uniform overhead transmission line negative phase-sequence wave impedance of parameter;
R2For the uniform overhead transmission line negative sequence resistance of parameter;L2For the uniform overhead transmission line negative phase-sequence inductance of parameter;G2For the uniform overhead transmission line of parameter
Negative phase-sequence conductance;C2For the uniform overhead transmission line negative phase-sequence electric capacity of parameter;ω=2 π f, f are ac frequency;I is imaginary part;
Due to being not aware that the position of trouble point when calculating, therefore the result of calculation before abort situation is joint line
In it is real along negative sequence voltage, result of calculation after abort situation is negative sequence voltage along false, by negative phase-sequence traveling wave width
Value decays and phase delay, negative sequence voltage along calculating
By negative sequence voltage along the lineThe amplitude of negative sequence voltage along calculating
Occur that single-phase earthing, two-phase be alternate in joint line or the unbalanced fault of two phase ground after, can be produced on circuit
Negative sequence voltage.Because failure frontal line negative sequence voltage is 0, therefore negative sequence voltage amplitude variable quantity is current negative phase-sequence after failure
Voltage magnitude;
Compare amplitudeIf equal, x is fault distance, if unequal, by setting step delta x
Change x, continue negative sequence voltage along calculating, calculated to equal terminate of amplitude, now x is fault distance.
For three-phase symmetrical failure, carrying out fault location using the method for positive sequence voltage variable quantity amplitude com parison includes:
Using M end points as measurement point, by the positive sequence voltage of failure phaseForward-order currentThe positive sequence for calculating M points moves ahead
RippleWith the anti-traveling wave of positive sequenceAmplitude and phase;
Preceding traveling wave is:
Anti- traveling wave is:
Wherein,For the uniform overhead transmission line positive sequence wave impedance of parameter;R1
For the uniform overhead transmission line positive sequence resistance of parameter;L1For the uniform overhead transmission line positive sequence inductance of parameter;G1For the uniform overhead transmission line of parameter just
Sequence conductance;C1For the uniform overhead transmission line positive sequence electric capacity of parameter;ω=2 π f, f are ac frequency;I is imaginary part;
By setting step delta x, with fast search algorithm calculate faulty line in any point x positive sequence traveling wave amplitude attenuation and
Phase delay A1(x);
Wherein,For positive sequence attenuation constant;β1For positive sequence
The real part of attenuation constant;α1For the imaginary part of positive sequence attenuation constant;A1(x) phase delay is directly proportional to calculating point distance x, and its
In amplitude attenuation part and trouble point distance be exponential relationship, be difficult to directly calculate in actual device, typically by table look-up come
Realize, larger memory space can be taken when Searching point is a lot;
To reduce operand and saving memory space, amplitude attenuation part is used into Taylor series expansion:
Wherein, | A1(x) | it is the amplitude of positive sequence traveling wave amplitude attenuation;
Wherein β value is very small, circuit be not it is especially long in the case of above formula use linear equivalence;
By positive sequence traveling wave amplitude attenuation and phase delay, positive sequence voltage along calculating
Positive sequence voltage variable quantityUsing the method that measurement point voltage phasor subtracts voltage phasor before failure after failure
Obtain, phasor time delay differs the multiple of complete cycle ripple after failure and before failure;
Wherein, t is the measurement moment;T is the time of a cycle;R is the multiple of difference cycle;
By positive sequence voltage variable quantityThe amplitude of positive sequence voltage variable quantity along calculating
When calculating point arrival cable area, because cable data is different from overhead line parameter, therefore can not continue to use
Overhead line head end voltage calculates.The voltage at overhead line-cable connection point being now calculated is top voltage and used
Cable data continues the calculating of each point positive sequence voltage amplitude variable quantity along cable sections;
Using N-terminal point as measurement point, can similarly obtain along positive sequence voltage variable quantity amplitude
For using N-terminal point as positive sequence along measurement point
Voltage;
It is as follows as measurement point detailed measurements, calculating process using N-terminal point:
By the positive sequence voltage of failure phaseForward-order currentTraveling wave before the positive sequence of calculating N pointsWith the anti-row of positive sequence
RippleAmplitude and phase;
Preceding traveling wave is:
Anti- traveling wave is:
Wherein,For the uniform overhead transmission line positive sequence wave impedance of parameter;
R1For the uniform overhead transmission line positive sequence resistance of parameter;L1For the uniform overhead transmission line positive sequence inductance of parameter;G1For the uniform overhead transmission line of parameter
Positive sequence conductance;C1For the uniform overhead transmission line positive sequence electric capacity of parameter;ω=2 π f, f are ac frequency;I is imaginary part;
By positive sequence traveling wave amplitude attenuation and phase delay, positive sequence voltage along calculating
Positive sequence voltage variable quantityUsing the method that measurement point voltage phasor subtracts voltage phasor before failure after failure
Obtain, phasor time delay differs the multiple of complete cycle ripple after failure and before failure;
Wherein, t is the measurement moment;T is the time of a cycle;R is the multiple of difference cycle;
By positive sequence voltage variable quantityThe amplitude of positive sequence voltage variable quantity along calculating
Compare positive sequence voltage variable quantity amplitudeIf equal, x is fault distance, if not phase
Deng, by setting step delta x change x, continue positive sequence voltage variable quantity along calculating, calculated to equal terminate of variable quantity amplitude, this
When x be fault distance.
Compared with prior art, the invention has the advantages that:
The present invention is directed to the parameter characteristic of overhead line-cable series-parallel connection circuit, is calculated using frequency domain parameter, it is proposed that base
It is electric in the new mixed line fault location algorithm for changing amount comparing analysis along line voltage sequence amount, the both-end based on joint line
Amount, Two-Terminal Electrical Quantities synchronization is not required, it is not necessary to first carry out fault section judgement, problem, abort situation are identified in the absence of pseudo- root
Various fast search algorithms can be used in search procedure, not by transition Resistance Influence, along the line, voltage need not table look-up in calculating,
Calculating speed is fast.
Brief description of the drawings
Fig. 1 is typical two section joint line schematic diagrames in the present invention;
Fig. 2 is transmission line of electricity negative sequence network schematic diagram in the present invention;
Fig. 3 is electric transmission line positive sequence network diagram in the present invention;
Fig. 4 is electric transmission line positive sequence voltage variety network diagram in the present invention;
Fig. 5 is mixed line fault location algorithm flow chart in the present invention.
Embodiment
The embodiment of the present invention is described in further detail below in conjunction with the accompanying drawings.
The invention provides based on the overhead line-high-tension cable joint line event for changing amount comparing analysis along line voltage sequence amount
Hinder localization method.For asymmetric fault, calculated respectively by Two-Terminal Electrical Quantities along each point negative sequence voltage amplitude and then compared
Compared with the equal point of negative sequence voltage amplitude is trouble point;For three-phase symmetrical failure, using positive sequence voltage variable quantity amplitude com parison
Method carry out fault location, the equal point of positive sequence voltage amplitude variable quantity is trouble point.
Fig. 1 is the section joint line schematic diagram of typical case two of the present invention, and joint line is made up of two parts, and MJ sections are aerial
Line, length lm, JN sections are high voltage power cables, length ln, J is blend tie point.Line protective devices measure Fig. 1 lines
Road both sides M, N-terminal point three-phase voltage, electric current phasorAnd F is line failure point, may be in MJ sections, may be in JN sections, it is also possible in J points.
According to the voltage phasor of measurement, electric current phasor, negative sequence voltage, the negative phase-sequence of both sides are obtained respectively with symmetrical component method
Electric current, positive sequence voltage, forward-order current:
According to negative sequence voltageThen fault type is asymmetric fault;Then failure
Type is three-phase symmetrical failure.
For asymmetric fault, calculated respectively by the three-phase voltage of Two-Terminal Electrical Quantities M sides and N sides, electric current phasor each along the line
Then point negative sequence voltage amplitude is compared, realize fault location.
Fig. 2 transmission line of electricity negative sequence network schematic diagrames, using M end points as measurement point, by the negative sequence voltage of failure phaseNegative phase-sequence
Electric currentTraveling wave before the negative phase-sequence of calculating M pointsWith the anti-traveling wave of negative phase-sequenceAmplitude and phase:
Preceding traveling wave is:
Anti- traveling wave is:
Wherein,For the uniform overhead transmission line negative phase-sequence wave impedance of parameter;
R2For the uniform overhead transmission line negative sequence resistance of parameter;L2For the uniform overhead transmission line negative phase-sequence inductance of parameter;G2For the uniform overhead transmission line of parameter
Negative phase-sequence conductance;C2For the uniform overhead transmission line negative phase-sequence electric capacity of parameter.
By setting step delta x, with point by point search algorithm calculate faulty line in any point x negative phase-sequence traveling wave amplitude attenuation and
Phase delay A2(x):
Wherein,For negative phase-sequence attenuation constant;β2It is negative
The real part of sequence attenuation constant;α2For the imaginary part of negative phase-sequence attenuation constant;A2(x) phase delay is directly proportional to calculating point distance x, and
Amplitude attenuation part therein is exponential relationship with trouble point distance, is difficult to directly calculate in actual device, typically by tabling look-up
To realize, larger memory space can be taken when Searching point is a lot.
To reduce operand and saving memory space, amplitude attenuation part is used into Taylor series expansion:
Wherein, | A2(x) | it is the amplitude of negative phase-sequence traveling wave amplitude attenuation;
Wherein β value is very small, circuit be not it is especially long in the case of above formula use linear equivalence;
Due to being not aware that the position of trouble point when calculating, therefore the result of calculation before abort situation is joint line
In it is real along negative sequence voltage, result of calculation after abort situation is negative sequence voltage along false.By negative phase-sequence traveling wave width
Value decays and phase delay, negative sequence voltage along calculating
By negative sequence voltage along the lineThe amplitude of negative sequence voltage along calculating
When calculating point arrival cable area, because cable data is different from overhead line parameter, therefore can not continue to use
Overhead line head end voltage calculates.Voltage at the overhead line being now calculated-cable connection point J for top voltage and uses
Cable data continues the calculating of each point negative sequence voltage amplitude along cable sections.
Using N-terminal point as measurement point, can similarly obtain along negative sequence voltageAmplitude
Occur that single-phase earthing, two-phase be alternate in joint line or the unbalanced fault of two phase ground after, can be produced on circuit
Negative sequence voltage.Because failure frontal line negative sequence voltage is 0, therefore negative sequence voltage variable quantity is current negative phase-sequence electricity after failure
Pressure.
Compare amplitudeIf equal, x is fault distance, if unequal, is become by setting step delta x
Change x, continue negative sequence voltage along calculating, calculated to equal terminate of amplitude, now x is fault distance.
For three-phase symmetrical failure, fault location is carried out using the method for positive sequence voltage variable quantity amplitude com parison.Fig. 3 transmits electricity
Circuit positive sequence network schematic diagram, using M end points as measurement point, by the positive sequence voltage of failure phaseForward-order currentCalculate M
Traveling wave before the positive sequence of pointWith the anti-traveling wave of positive sequenceAmplitude and phase:
Preceding traveling wave is:
Anti- traveling wave is:
Wherein,For the uniform overhead transmission line positive sequence wave impedance of parameter;R1
For the uniform overhead transmission line positive sequence resistance of parameter;L1For the uniform overhead transmission line positive sequence inductance of parameter;G1For the uniform overhead transmission line of parameter just
Sequence conductance;C1For the uniform overhead transmission line positive sequence electric capacity of parameter.
By setting step delta x, with point by point search algorithm calculate faulty line in any point x positive sequence traveling wave amplitude attenuation and
Phase delay A1(x):
Wherein,For positive sequence attenuation constant;β1For positive sequence
The real part of attenuation constant;α1For the imaginary part of positive sequence attenuation constant;A1(x) phase delay is directly proportional to calculating point distance x, and its
In amplitude attenuation part and trouble point distance be exponential relationship, be difficult to directly calculate in actual device, typically by table look-up come
Realize, larger memory space can be taken when Searching point is a lot.
To reduce operand and saving memory space, amplitude attenuation part is used into Taylor series expansion:
Wherein, | A1(x) | it is the amplitude of positive sequence traveling wave amplitude attenuation;
Wherein β value is very small, circuit be not it is especially long in the case of above formula use linear equivalence.
Due to being not aware that the position of trouble point when calculating, therefore the result of calculation before abort situation is joint line
In it is real along positive sequence voltage, result of calculation after abort situation is positive sequence voltage along false.By positive sequence traveling wave width
Value decays and phase delay, positive sequence voltage along calculating
When calculating point arrival cable area, because cable data is different from overhead line parameter, therefore can not continue to use
Overhead line head end voltage calculates.Voltage at the overhead line being now calculated-cable connection point J for top voltage and uses
Cable data continues the calculating of each point positive sequence voltage amplitude along cable sections.
Fig. 4 is electric transmission line positive sequence voltage variety network diagram, positive sequence voltage variable quantityAfter failure
The method that measurement point voltage phasor subtracts voltage phasor before failure obtains, phasor time delay difference complete cycle ripple after failure and before failure
Multiple:
Wherein, t is the measurement moment;T is the time of a cycle;N is the multiple of difference cycle;
By positive sequence voltage variable quantityThe amplitude of positive sequence voltage variable quantity along calculating
Using N-terminal point as measurement point, can similarly obtain along positive sequence voltage variable quantity
Compare positive sequence voltage variable quantity amplitudeIf equal, x is fault distance, if not phase
Deng, by setting step delta x change x, continue positive sequence voltage variable quantity along calculating, calculated to equal terminate of variable quantity amplitude, this
When x be fault distance.
Finally it should be noted that:Above example is merely to illustrate the technical scheme of the application rather than to its protection domain
Limitation, although the application is described in detail with reference to above-described embodiment, those of ordinary skill in the art should
Understand:Those skilled in the art read the embodiment of application can be still carried out after the application a variety of changes, modification or
Person's equivalent substitution, but these changes, modification or equivalent substitution, are applying within pending claims.
Claims (2)
1. a kind of overhead line-high-tension cable mixed line fault localization method, it is characterised in that methods described includes:
(1) difference measurement circuitry both sides M, three-phase voltage, the electric current phasor of N-terminal point;Two are calculated respectively with symmetrical component method
Negative sequence voltage, negative-sequence current, positive sequence voltage, the forward-order current of side;
(2) according to the negative sequence voltage, failure judgement type;
(3) if asymmetric fault, by the three-phase voltage of Two-Terminal Electrical Quantities M sides and N sides, electric current phasor calculate respectively along each point
Then negative sequence voltage amplitude is compared, the equal point of negative sequence voltage amplitude is trouble point;
(4) if three-phase symmetrical failure, fault location, positive sequence voltage are carried out using the method for positive sequence voltage variable quantity amplitude com parison
The equal point of amplitude variable quantity is trouble point;
In the step (1):
Line protective devices measure the circuit both sides M, the three-phase voltage of N-terminal point And electric current phasor
It is described to calculate the negative sequence voltage for including circuit both sidesNegative-sequence currentPositive sequence voltageForward-order currentThe subscript 1 of wherein each parameter represents positive order parameter, and subscript 2 represents negative phase-sequence parameter;
In the step (3), the asymmetric fault, calculated respectively by Two-Terminal Electrical Quantities along each point negative sequence voltage amplitude then
It is compared, including:
Using the M end points as measurement point, by the negative sequence voltage of failure phaseNegative-sequence currentThe negative phase-sequence for calculating M points moves ahead
RippleWith the anti-traveling wave of negative phase-sequenceAmplitude and phase;
The preceding traveling wave is:
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Wherein,For the uniform overhead transmission line negative phase-sequence wave impedance of parameter;R2For
The uniform overhead transmission line negative sequence resistance of parameter;L2For the uniform overhead transmission line negative phase-sequence inductance of parameter;G2For the uniform overhead transmission line negative phase-sequence of parameter
Conductance;C2For the uniform overhead transmission line negative phase-sequence electric capacity of parameter;ω=2 π f, f are ac frequency;I is imaginary part;
By setting step delta x, with the negative phase-sequence traveling wave amplitude attenuation and phase of any point x in fast search algorithm calculating faulty line
Postpone A2(x);
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Wherein,For negative phase-sequence attenuation constant;β2Declined for negative phase-sequence
Subtract the real part of constant;α2For the imaginary part of negative phase-sequence attenuation constant;A2(x) phase delay is directly proportional to calculating point distance x, and wherein
Amplitude attenuation part and trouble point distance be exponential relationship;
Amplitude attenuation part is used into Taylor series expansion:
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<mo>|</mo>
<mo>=</mo>
<msup>
<mi>e</mi>
<mrow>
<mo>-</mo>
<msub>
<mi>&beta;</mi>
<mn>2</mn>
</msub>
<mi>x</mi>
</mrow>
</msup>
<mo>=</mo>
<mn>1</mn>
<mo>-</mo>
<msub>
<mi>&beta;</mi>
<mn>2</mn>
</msub>
<mi>x</mi>
<mo>+</mo>
<mn>0.5</mn>
<msub>
<mi>&beta;</mi>
<mn>2</mn>
</msub>
<msup>
<mi>x</mi>
<mn>2</mn>
</msup>
<mn>...</mn>
</mrow>
Wherein, | A2(x) | it is the amplitude of negative phase-sequence traveling wave amplitude attenuation;
Wherein β value is very small, circuit be not it is especially long in the case of above formula use linear equivalence;
<mrow>
<mo>|</mo>
<msub>
<mi>A</mi>
<mn>2</mn>
</msub>
<mrow>
<mo>(</mo>
<mi>x</mi>
<mo>)</mo>
</mrow>
<mo>|</mo>
<mo>=</mo>
<msup>
<mi>e</mi>
<mrow>
<mo>-</mo>
<msub>
<mi>&beta;</mi>
<mn>2</mn>
</msub>
<mi>x</mi>
</mrow>
</msup>
<mo>&ap;</mo>
<mn>1</mn>
<mo>-</mo>
<msub>
<mi>&beta;</mi>
<mn>2</mn>
</msub>
<mi>x</mi>
</mrow>
By negative phase-sequence traveling wave amplitude attenuation and phase delay, negative sequence voltage along calculating
<mrow>
<msub>
<mover>
<mi>U</mi>
<mo>&CenterDot;</mo>
</mover>
<mrow>
<mi>x</mi>
<mi>M</mi>
<mn>2</mn>
</mrow>
</msub>
<mo>=</mo>
<mfrac>
<mn>1</mn>
<mn>2</mn>
</mfrac>
<mrow>
<mo>(</mo>
<msub>
<mover>
<mi>F</mi>
<mo>&CenterDot;</mo>
</mover>
<mrow>
<mi>m</mi>
<mn>2</mn>
</mrow>
</msub>
<msub>
<mi>A</mi>
<mn>2</mn>
</msub>
<mo>(</mo>
<mi>x</mi>
<mo>)</mo>
<mo>+</mo>
<msub>
<mover>
<mi>B</mi>
<mo>&CenterDot;</mo>
</mover>
<mrow>
<mi>m</mi>
<mn>2</mn>
</mrow>
</msub>
<mo>/</mo>
<msub>
<mi>A</mi>
<mn>2</mn>
</msub>
<mo>(</mo>
<mi>x</mi>
<mo>)</mo>
<mo>)</mo>
</mrow>
</mrow>
By negative sequence voltage along the lineThe amplitude of negative sequence voltage along calculating
<mrow>
<mrow>
<mo>|</mo>
<msub>
<mover>
<mi>U</mi>
<mo>&CenterDot;</mo>
</mover>
<mrow>
<mi>x</mi>
<mi>M</mi>
<mn>2</mn>
</mrow>
</msub>
<mo>|</mo>
</mrow>
<mo>=</mo>
<mrow>
<mo>|</mo>
<mfrac>
<mn>1</mn>
<mn>2</mn>
</mfrac>
<mrow>
<mo>(</mo>
<msub>
<mover>
<mi>F</mi>
<mo>&CenterDot;</mo>
</mover>
<mrow>
<mi>m</mi>
<mn>2</mn>
</mrow>
</msub>
<msub>
<mi>A</mi>
<mn>2</mn>
</msub>
<mo>(</mo>
<mi>x</mi>
<mo>)</mo>
<mo>+</mo>
<msub>
<mover>
<mi>B</mi>
<mo>&CenterDot;</mo>
</mover>
<mrow>
<mi>m</mi>
<mn>2</mn>
</mrow>
</msub>
<mo>/</mo>
<msub>
<mi>A</mi>
<mn>2</mn>
</msub>
<mo>(</mo>
<mi>x</mi>
<mo>)</mo>
<mo>)</mo>
</mrow>
<mo>|</mo>
</mrow>
</mrow>
Using the N-terminal point as measurement point, can similarly obtain along negative sequence voltageAmplitude
For traveling wave before the negative phase-sequence of N points,It is anti-for N point negative phase-sequences
Traveling wave;
Compare amplitudeIf equal, x is fault distance, if unequal, changes x by setting step delta x,
Continue negative sequence voltage along calculating, calculated to equal terminate of amplitude, now x is fault distance;
In the step (4), the three-phase symmetrical failure, failure is carried out using the method for positive sequence voltage variable quantity amplitude com parison and determined
Position, including:
Using the M end points as measurement point, by the positive sequence voltage of failure phaseForward-order currentThe positive sequence for calculating M points moves ahead
RippleWith the anti-traveling wave of positive sequenceAmplitude and phase;
The preceding traveling wave is:
<mrow>
<msub>
<mover>
<mi>F</mi>
<mo>&CenterDot;</mo>
</mover>
<mrow>
<mi>m</mi>
<mn>1</mn>
</mrow>
</msub>
<mo>=</mo>
<msub>
<mover>
<mi>U</mi>
<mo>&CenterDot;</mo>
</mover>
<mrow>
<mi>m</mi>
<mn>1</mn>
</mrow>
</msub>
<mo>+</mo>
<msub>
<mi>Z</mi>
<mrow>
<mi>C</mi>
<mn>1</mn>
</mrow>
</msub>
<msub>
<mover>
<mi>I</mi>
<mo>&CenterDot;</mo>
</mover>
<mrow>
<mi>m</mi>
<mn>1</mn>
</mrow>
</msub>
</mrow>
The anti-traveling wave is:
<mrow>
<msub>
<mover>
<mi>B</mi>
<mo>&CenterDot;</mo>
</mover>
<mrow>
<mi>m</mi>
<mn>1</mn>
</mrow>
</msub>
<mo>=</mo>
<msub>
<mover>
<mi>U</mi>
<mo>&CenterDot;</mo>
</mover>
<mrow>
<mi>m</mi>
<mn>1</mn>
</mrow>
</msub>
<mo>-</mo>
<msub>
<mi>Z</mi>
<mrow>
<mi>C</mi>
<mn>1</mn>
</mrow>
</msub>
<msub>
<mover>
<mi>I</mi>
<mo>&CenterDot;</mo>
</mover>
<mrow>
<mi>m</mi>
<mn>1</mn>
</mrow>
</msub>
</mrow>
Wherein,For the uniform overhead transmission line positive sequence wave impedance of parameter;R1For ginseng
The uniform overhead transmission line positive sequence resistance of number;L1For the uniform overhead transmission line positive sequence inductance of parameter;G1For the uniform overhead transmission line positive sequence electricity of parameter
Lead;C1For the uniform overhead transmission line positive sequence electric capacity of parameter;ω=2 π f, f are ac frequency;I is imaginary part;
By setting step delta x, with the positive sequence traveling wave amplitude attenuation and phase of any point x in fast search algorithm calculating faulty line
Postpone A1(x);
<mrow>
<msub>
<mi>A</mi>
<mn>1</mn>
</msub>
<mrow>
<mo>(</mo>
<mi>x</mi>
<mo>)</mo>
</mrow>
<mo>=</mo>
<msup>
<mi>e</mi>
<mrow>
<mo>-</mo>
<msub>
<mi>&gamma;</mi>
<mn>1</mn>
</msub>
<mi>x</mi>
</mrow>
</msup>
<mo>=</mo>
<msup>
<mi>e</mi>
<mrow>
<mo>-</mo>
<msub>
<mi>&beta;</mi>
<mn>1</mn>
</msub>
<mi>x</mi>
</mrow>
</msup>
<mo>&angle;</mo>
<mrow>
<mo>(</mo>
<mo>-</mo>
<msub>
<mi>&alpha;</mi>
<mn>1</mn>
</msub>
<mi>x</mi>
<mo>)</mo>
</mrow>
</mrow>
Wherein,For positive sequence attenuation constant;β1Decay for positive sequence
The real part of constant;α1For the imaginary part of positive sequence attenuation constant;A1(x) phase delay is directly proportional to calculating point distance x, and therein
Amplitude attenuation part is exponential relationship with trouble point distance;
Amplitude attenuation part is used into Taylor series expansion:
<mrow>
<mo>|</mo>
<msub>
<mi>A</mi>
<mn>1</mn>
</msub>
<mrow>
<mo>(</mo>
<mi>x</mi>
<mo>)</mo>
</mrow>
<mo>|</mo>
<mo>=</mo>
<msup>
<mi>e</mi>
<mrow>
<mo>-</mo>
<msub>
<mi>&beta;</mi>
<mn>1</mn>
</msub>
<mi>x</mi>
</mrow>
</msup>
<mo>=</mo>
<mn>1</mn>
<mo>-</mo>
<msub>
<mi>&beta;</mi>
<mn>1</mn>
</msub>
<mi>x</mi>
<mo>+</mo>
<mn>0.5</mn>
<msub>
<mi>&beta;</mi>
<mn>1</mn>
</msub>
<msup>
<mi>x</mi>
<mn>2</mn>
</msup>
<mn>...</mn>
</mrow>
Wherein β value is very small, circuit be not it is especially long in the case of above formula use linear equivalence;
<mrow>
<mo>|</mo>
<msub>
<mi>A</mi>
<mn>1</mn>
</msub>
<mrow>
<mo>(</mo>
<mi>x</mi>
<mo>)</mo>
</mrow>
<mo>|</mo>
<mo>=</mo>
<msup>
<mi>e</mi>
<mrow>
<mo>-</mo>
<msub>
<mi>&beta;</mi>
<mn>1</mn>
</msub>
<mi>x</mi>
</mrow>
</msup>
<mo>&ap;</mo>
<mn>1</mn>
<mo>-</mo>
<msub>
<mi>&beta;</mi>
<mn>1</mn>
</msub>
<mi>x</mi>
</mrow>
Wherein, | A1(x) | it is the amplitude of positive sequence traveling wave amplitude attenuation;
By positive sequence traveling wave amplitude attenuation and phase delay, positive sequence voltage along calculating
<mrow>
<msub>
<mover>
<mi>U</mi>
<mo>&CenterDot;</mo>
</mover>
<mrow>
<mi>x</mi>
<mi>M</mi>
<mn>1</mn>
</mrow>
</msub>
<mo>=</mo>
<mfrac>
<mn>1</mn>
<mn>2</mn>
</mfrac>
<mrow>
<mo>(</mo>
<msub>
<mover>
<mi>F</mi>
<mo>&CenterDot;</mo>
</mover>
<mrow>
<mi>m</mi>
<mn>1</mn>
</mrow>
</msub>
<msub>
<mi>A</mi>
<mn>1</mn>
</msub>
<mo>(</mo>
<mi>x</mi>
<mo>)</mo>
<mo>+</mo>
<msub>
<mover>
<mi>B</mi>
<mo>&CenterDot;</mo>
</mover>
<mrow>
<mi>m</mi>
<mn>1</mn>
</mrow>
</msub>
<mo>/</mo>
<msub>
<mi>A</mi>
<mn>1</mn>
</msub>
<mo>(</mo>
<mi>x</mi>
<mo>)</mo>
<mo>)</mo>
</mrow>
</mrow>
Positive sequence voltage variable quantityThe method acquisition of voltage phasor before failure is subtracted using measurement point voltage phasor after failure,
Phasor time delay differs the multiple of complete cycle ripple after failure and before failure;
<mrow>
<mi>&Delta;</mi>
<msub>
<mover>
<mi>U</mi>
<mo>&CenterDot;</mo>
</mover>
<mrow>
<mi>x</mi>
<mi>M</mi>
<mn>1</mn>
</mrow>
</msub>
<mo>=</mo>
<msub>
<mover>
<mi>U</mi>
<mo>&CenterDot;</mo>
</mover>
<mrow>
<mi>x</mi>
<mi>M</mi>
<mn>1</mn>
</mrow>
</msub>
<mrow>
<mo>(</mo>
<mi>t</mi>
<mo>)</mo>
</mrow>
<mo>-</mo>
<msub>
<mover>
<mi>U</mi>
<mo>&CenterDot;</mo>
</mover>
<mrow>
<mi>x</mi>
<mi>M</mi>
<mn>1</mn>
</mrow>
</msub>
<mrow>
<mo>(</mo>
<mi>t</mi>
<mo>-</mo>
<mi>R</mi>
<mi>T</mi>
<mo>)</mo>
</mrow>
</mrow>
Wherein, t is the measurement moment;T is the time of a cycle;R is the multiple of difference cycle;
By positive sequence voltage variable quantityThe amplitude of positive sequence voltage variable quantity along calculating
<mrow>
<mrow>
<mo>|</mo>
<mrow>
<mi>&Delta;</mi>
<msub>
<mover>
<mi>U</mi>
<mo>&CenterDot;</mo>
</mover>
<mrow>
<mi>x</mi>
<mi>M</mi>
<mn>1</mn>
</mrow>
</msub>
</mrow>
<mo>|</mo>
</mrow>
<mo>=</mo>
<mrow>
<mo>|</mo>
<msub>
<mover>
<mi>U</mi>
<mo>&CenterDot;</mo>
</mover>
<mrow>
<mi>x</mi>
<mi>M</mi>
<mn>1</mn>
</mrow>
</msub>
<mrow>
<mo>(</mo>
<mi>t</mi>
<mo>)</mo>
</mrow>
<mo>-</mo>
<msub>
<mover>
<mi>U</mi>
<mo>&CenterDot;</mo>
</mover>
<mrow>
<mi>x</mi>
<mi>M</mi>
<mn>1</mn>
</mrow>
</msub>
<mrow>
<mo>(</mo>
<mi>t</mi>
<mo>-</mo>
<mi>R</mi>
<mi>T</mi>
<mo>)</mo>
</mrow>
<mo>|</mo>
</mrow>
</mrow>
Using the N-terminal point as measurement point, can similarly obtain along positive sequence voltage variable quantity
For using N-terminal point as positive sequence voltage along measurement point;
Compare positive sequence voltage variable quantity amplitudeIf equal, x is fault distance, if unequal, by setting
Fixed step size Δ x change x, continue positive sequence voltage variable quantity along calculating, are calculated to equal terminate of variable quantity amplitude, now x is event
Hinder distance.
2. Fault Locating Method according to claim 1, it is characterised in that in the step (2), the judgement includes:
If the negative sequence voltage is zeroThen the fault type is three-phase symmetrical failure;
If the negative sequence voltage is not zeroThen the fault type is asymmetric fault.
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CN105759178B (en) * | 2016-04-28 | 2018-09-21 | 国网上海市电力公司 | A kind of both-end distance measuring method of aerial-cable hybrid line singlephase earth fault |
CN106249110B (en) * | 2016-10-14 | 2019-08-30 | 南京南瑞继保电气有限公司 | A kind of ultra-high-tension power transmission line failure both-end distance measuring method of automatic identification puppet root |
CN111226363B (en) * | 2017-08-04 | 2023-01-06 | 日立能源瑞士股份公司 | Method and device for identifying fault sections in a multi-terminal hybrid line |
CN107449988B (en) * | 2017-09-08 | 2019-11-29 | 广东电网有限责任公司电力科学研究院 | A kind of the fault type judgment method and device of flexible HVDC transmission system |
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CN107843812A (en) * | 2017-11-02 | 2018-03-27 | 海南电网有限责任公司琼海供电局 | A kind of electrical power distribution network fault location method and device |
CN108445349B (en) * | 2018-02-07 | 2020-08-11 | 国网山东省电力公司潍坊供电公司 | Current sequence component comparison type fault section positioning method containing DG feeder |
CN109613383A (en) * | 2018-12-27 | 2019-04-12 | 中国电力科学研究院有限公司 | Meter and the alternating current circuit fault judgment method and system of direct current access |
CN112363013A (en) * | 2020-10-30 | 2021-02-12 | 西安理工大学 | Method for judging internal and external faults of direct current line area of hybrid direct current transmission system |
CN113009275A (en) * | 2021-02-22 | 2021-06-22 | 天津大学 | Double-end fault location method for flexible direct-current access alternating-current hybrid line |
CN114089102B (en) * | 2021-11-11 | 2024-03-01 | 国网宁夏电力有限公司营销服务中心(国网宁夏电力有限公司计量中心) | High-voltage hybrid line fault distance measurement method integrating fault section discrimination and distance measurement |
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