CN106443347A - Power grid fault section positioning method based on fault transient state traveling wave decaying component - Google Patents

Power grid fault section positioning method based on fault transient state traveling wave decaying component Download PDF

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CN106443347A
CN106443347A CN201610881840.2A CN201610881840A CN106443347A CN 106443347 A CN106443347 A CN 106443347A CN 201610881840 A CN201610881840 A CN 201610881840A CN 106443347 A CN106443347 A CN 106443347A
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measurement point
traveling wave
wave amplitude
fault
node
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CN106443347B (en
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梁睿
薛雪
杨智
王飞
彭楠
刘成磊
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China University of Mining and Technology CUMT
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    • 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
    • G01R31/081Locating faults in cables, transmission lines, or networks according to type of conductors
    • G01R31/086Locating faults in cables, transmission lines, or networks according to type of conductors in power transmission or distribution networks, i.e. with interconnected conductors
    • 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
    • G01R31/088Aspects of digital computing

Abstract

The invention discloses a power grid fault section positioning method based on a fault transient state traveling wave decaying component. The method comprises the steps that on the condition that a measuring device is configured for a power grid, a wavelet coefficient module maximum value is acquired by conducting wavelet transform on signals obtained after a fault occurs to serve as a characteristic quantity representing initial traveling wave amplitude; the measuring point with the largest characteristic quantity corresponds to one end of a faulty line, the other end of the faulty line is determined by means of the decaying characteristics, obtained when fault traveling waves are propagated through a shortest route, of the characteristic quantity, and then a fault section is judged. The section positioning method is high in accuracy, has no specialized requirement on the synchronicity of the measuring device and has the better economy and the high practical value.

Description

A kind of electric network fault Section Location based on fault transient travelling wave attenuation components
Technical field
The present invention relates to being adapted to the fault section location technique study of fault transient travelling wave attenuation components under electrical network.
Background technology
Electric power energy has become as Chinese society economic development lifeblood, and intelligent grid quickly grows in recent years, to power supply Reliability is put forward higher requirement.If fault can not fast and accurately be positioned and be excluded and national economy will be caused Incalculable damage, also can bring great inconvenience to the life of the people simultaneously.Therefore, fault-location problem always is state Inside and outside study hotspot.
Existing Fault Locating Method can be largely classified into based on steady-state quantity and is based on transient two class:The former is easily subject to divide Cloth electric capacity and the impact of transition resistance, applicability is poor;The latter's positioning precision is higher and obtains a wide range of applications.In recent years, The wide area measurement system being obtained the transient information of the electrical network overall situation based on measurement apparatus such as PMU in real time is quickly grown, and is the temporary of electrical network State analysis provides new means.On the basis of modern travelling wave ranging principle, expert and scholars are proposed extensively based on WAMS Domain information Fault Locating Method.Chen Yu etc. extends both-end distance measuring principle, using wide area traveling wave information realization grid disturbance circuit Identification and disturbance point positioning[1], but simulation model structure is simple, and applicability in more complicated network for this algorithm has Treat to verify further;Document[2]Propose a kind of fault installing measurement apparatus synchronization acquisition fault message at all circuit two ends to determine Method for position, and the correctness of institute's extracting method with IEEE 118- bus System analysis verification, but the equipment cost of the method High, be difficult to obtain practical application;Document[3]By mathematical derivation, synchronously obtained using the measurement apparatus in grid parts node installation The traveling wave arrival time taking, calculate and realize being accurately positioned of fault while being out of order the generation moment.The fault of above method is fixed Position means require the stringent synchronization of measurement apparatus, and the height of synchronization accuracy can have a strong impact on the precision of positioning, so research is based on The electric network fault Section Location of asynchronous transient signal has important practical significance.
[1] Chen Yu, Liu Dong, Xu Bingyin. the Algorithms of Travelling Wave Based Fault Location [J] based on Wide Area Network information. Automation of Electric Systems, 2011,35(11):65-70.
[2]Dutta P,Esmaeilian A,Kezunovic M.Transmission-line fault analysis using synchronized sampling[J].IEEE Transactions on Power Delivery,2014,29 (2):942-950.
[3]Korkali M,Abur A.Optimal deployment of wide-area synchronized measurements for fault-location observability[J].IEEE Transactions on Power Systems,2013,28(1):482-489.
Content of the invention
Goal of the invention:In order to overcome the deficiencies in the prior art, propose a kind of decay based on fault transient travelling wave and divide The electric network fault Section Location of amount.
Technical scheme:For achieving the above object, the technical solution used in the present invention is:
A kind of electric network fault Section Location based on fault transient travelling wave attenuation components, comprises the steps:
1) electrical network for topological structure determination, it is assumed that having N number of measurement point, is respectively labeled as m1,m2,…,mN, and structure Become set M={ m1,m2,…,mN, j is respectively according to the adjacent measurement points number that topological structure obtains each measurement point1, j2,…,jN, and constitute set J={ j1,j2,…,jN};
2), after fault occurs, the line mode voltage that each measurement point is obtained carries out wavelet transformation respectively, extracts wavelet coefficient module Maximum characterizes the traveling wave amplitude of this measurement point, and the traveling wave amplitude of each measurement point is respectively f1,f2,…fN, and constitute set F= {f1,f2,…fN};Measurement point maAdjacent measurement points traveling wave amplitude be designated as gather { fa1,fa2,...faja, a ∈ 1,2 ... N }, The adjacent measurement points traveling wave amplitude matrix L obtaining each measurement point is expressed as:
Wherein, Z is the maximum in set J, and the empty element in L is substituted with value of zero;
3) step 2) the corresponding measurement point of obtained maximum row wave amplitude is defined as one end of fault, and this measurement point is designated as mi, and obtain measurement point miP adjacent measurement points be designated as b respectively1,b2,…bP, and constitute set B={ b1,b2,…bP};
4) adjacent measurement points b in set B are selectedj, adjacent measurement points bjCorresponding traveling wave amplitude is designated as fbj, j ∈ 1, 2,...P};Obtain bjTo measurement point mnThe node that passed through of shortest path, the node being passed through is according to bjTo measurement point mnThe sequence number sequentially passing through node is arranged as set D={ mx,…my, wherein mxThe sequence number of first node by being passed through, my The sequence number of last node by being passed through, n ∈ 1,2 ... N };If there is no measurement point m in described set Di, in set D The corresponding adjacent measurement points number collection of each node is combined into JD={ jx,…jy, then the corresponding refraction coefficient of each node in set D For d={ dmx,…dmy}={ 2/ (jx+1),…2/(jy+ 1) }, by bjConvert measurement point mnTraveling wave amplitude be fnj'=fbj× dmx×…×dmy;If including measurement point m in described set Di, delete m in set DiNode before, described set D updates For D={ mi,…my, then by bjConvert measurement point miTraveling wave amplitude be fnj'=fmi×…×dmy, fmiFor measurement point miRight The traveling wave amplitude answered;Initial n=1, j=1, all adjacent measurement points in traversal set B, obtain being converted by P adjacent measurement points Traveling wave amplitude matrix to all measurement points for G is:
5) m will be measuredaTraveling wave amplitude poor with each of which adjacent measurement points traveling wave amplitude respectively, gathered { fa- fa1,fa-fa2,...fa-faja, a ∈ 1,2 ... and N }, travel through each measurement point in described set F and obtain matrix △ F:
According to attenuation characteristic in communication process for the traveling wave amplitude, in matrix Δ F, each element makees the positive and negative table of numerical value after difference Show the direction of propagation of traveling wave;
6) first row in the traveling wave amplitude matrix G that doubling is calculated does following process, obtains the propagation side converting out To matrix △ G1For:
With sign function sgn (x) to matrix △ G1It is standardized processing with △ F:
Its identical element number characterizes the similarity degree of two matrixes, and remembers that identical element number is s1, successively in G Each row do above-mentioned process, obtain identical element number collection and are combined into S={ s1,s2,…sp, the corresponding measurement of the maximum in set S Point is the other end of faulty line, finally determines fault section.
Beneficial effect:This method in the case of the configured measurement apparatus of electrical network, the wavelet transformation of signal after to fault Obtain wavelet coefficient modulus maximum as the characteristic quantity characterizing initial row wave amplitude;The maximum measurement point of characteristic quantity corresponds to fault One end of circuit, when recycling fault traveling wave to propagate through shortest path, the attenuation characteristic of characteristic quantity determines the another of faulty line End, failure judgement section.This method does not have particular/special requirement to the synchronism of measurement apparatus, has practical value and preferably strongly Ground economy;Using traveling wave amplitude attenuation characteristic, overcome in electrical network conventional failure positioning Transient method because wave head recognizes mistake Cause the larger problem of error by mistake;The method is applied to complex electric network, and only need to obtain line after the fault of configuration measurement point Mode voltage signal, can judge fault section on the basis of with reference to topological structure of electric exactly.
Brief description
Fig. 1 is the flow chart of the inventive method;
Fig. 2 is multi-line branch bank wave refraction model;
Fig. 3 is IEEE-30 modular system.
Specific embodiment
This method implements flow chart as shown in figure 1, to implement step as follows:
1) electrical network for topological structure determination, it is assumed that having N number of measurement point, is respectively labeled as m1,m2,…,mN, and structure Become set M={ m1,m2,…,mN, j is respectively according to the adjacent measurement points number that topological structure obtains each measurement point1, j2,…,jN, and constitute set J={ j1,j2,…,jN}.
2), after fault occurs, the line mode voltage that each measurement point is obtained carries out wavelet transformation respectively, extracts wavelet coefficient module Maximum characterizes the traveling wave amplitude of this measurement point, and the traveling wave amplitude of each measurement point is respectively f1,f2,…fN, and constitute set F= {f1,f2,…fN}.Measurement point maAdjacent measurement points traveling wave amplitude be designated as gather { fa1,fa2,...faja, a ∈ 1,2 ... N }, The adjacent measurement points traveling wave amplitude matrix L obtaining each measurement point is expressed as:
Wherein, Z is the maximum in set J, and the empty element in L is substituted with value of zero.
3) step 2) the corresponding measurement point of obtained maximum row wave amplitude is defined as one end of fault, and this measurement point is designated as mi, state for convenience, measurement point m will be obtainediP adjacent measurement points be designated as b respectively1,b2,…bP, and constitute set B= {b1,b2,…bP};Wherein, P=ji.
4) adjacent measurement points b in set B are selectedj, adjacent measurement points bjCorresponding traveling wave amplitude is designated as fbj, j ∈ 1, 2,...P};Obtain bjTo measurement point mnThe node that passed through of shortest path, the node being passed through is according to bjTo measurement point mnThe sequence number sequentially passing through node is arranged as set D={ mx,…my, wherein mxThe sequence number of first node by being passed through, my The sequence number of last node by being passed through, n ∈ 1,2 ... N }.If there is no measurement point m in set Di, respectively save in set D The corresponding adjacent measurement points number collection of point is combined into JD={ jx,…jy, then in set D, the corresponding refraction coefficient of each node is d= {dmx,…dmy}={ 2/ (jx+1),…2/(jy+ 1) }, by bjConvert measurement point mnTraveling wave amplitude be fnj'=fbj×dmx ×…×dmy.If including measurement point m in set Di, delete m in set DiNode before, described set D is updated to D= {mi,…my, then by bjConvert measurement point miTraveling wave amplitude be fnj'=fmi×…×dmy, fmiFor measurement point miCorresponding Traveling wave amplitude.Initial n=1, j=1, all adjacent measurement points in traversal set B, obtain converting institute by P adjacent measurement points The traveling wave amplitude matrix having measurement point for G is:
5) m will be measuredaTraveling wave amplitude poor with each of which adjacent measurement points traveling wave amplitude respectively, gathered { fa- fa1,fa-fa2,...fa-faja, a ∈ 1,2 ... and N }, in traversal set F, each measurement point obtains matrix △ F:
According to attenuation characteristic in communication process for the traveling wave amplitude, in matrix Δ F, each element makees the positive and negative table of numerical value after difference Show the direction of propagation of traveling wave.
6) first row in the traveling wave amplitude matrix G that doubling is calculated does following process, obtains the propagation side converting out To matrix △ G1For:
With sign function sgn (x) to matrix △ G1It is standardized processing with △ F:
Its identical element number characterizes the similarity degree of two matrixes, and remembers that identical element number is s1, successively in G Each row do above-mentioned process, obtain identical element number collection and are combined into S={ s1,s2,…sp, the corresponding measurement of the maximum in set S Point is the other end of faulty line, finally determines fault section.
The present invention has very high accuracy in complex electric network, does not have particular/special requirement to the synchronism of measurement apparatus, improves The feasibility of fault section location and economy.Now taking a model as a example:
Set up the simulation model of IEEE-30 modular system using PSCAD/EMTDC Software tool, as shown in Figure 3.Circuit mould Type adopts Frequency Dependent Phase Model, and sample frequency is 1MHz.Power supply side joint Δ-Y type transformer, becomes Ratio for 500/220kV, loads side joint Y- Δ type transformer, and no-load voltage ratio is 220/110kV.Measuring configuration bus position is:2,3, 4,5,6,8,9,10,11,12,13,14,15,21,22,24,25,26,27,28,29,30.
Singlephase earth fault is occurred on the circuit between bus 10 and bus 17, the distance of trouble point and bus 10 is 56km.After fault occurs, line mode voltage wavelet details coefficient d 1 modulus maximum that each measurement point is extracted is as shown in table 1 below:
The characteristic quantity that each measurement point of table 1 is extracted
Knowable to characteristic quantity data, maximum measurement point at bus 10 obtains, and that is, faulty line a end points is mother Line 10.The adjacent measurement point of bus 10 has:Bus 6, bus 9, bus 12, bus 15, bus 21 and bus 22.Respectively with each neighbour Connect and measure the characteristic quantity pointed out as initial value, convert each measurement point result as shown in table 2 below.
Table 2 bus 10 adjoins measurement point characteristic quantity reduced value
Find out one group of data of the similarity maximum between the reduced value of each measurement point and actual measured value, its correspondence Measurement point is the other end of faulty line.Standardized reduced value comparative result as shown in table 3 below it is clear that adjacent in this example Connect measurement point 3 (bus 12) place reduced value identical element number at most, therefore faulty line is circuit 10-12, physical fault line Road 10-17 is included in circuit 10-12, and section positioning result is correct.
The standardized each measurement point characteristic quantity of table 3 and measured value identical element number
The above be only the preferred embodiment of the present invention it should be pointed out that:Ordinary skill people for the art For member, under the premise without departing from the principles of the invention, some improvements and modifications can also be made, these improvements and modifications also should It is considered as protection scope of the present invention.

Claims (1)

1. a kind of electric network fault Section Location based on fault transient travelling wave attenuation components is it is characterised in that include as follows Step:
1) electrical network for topological structure determination, it is assumed that having N number of measurement point, is respectively labeled as m1,m2,…,mN, and constitute collection Close M={ m1,m2,…,mN, j is respectively according to the adjacent measurement points number that topological structure obtains each measurement point1,j2,…,jN, And constitute set J={ j1,j2,…,jN};
2), after fault occurs, the line mode voltage that each measurement point is obtained carries out wavelet transformation respectively, extracts wavelet coefficient modulus maxima Value characterizes the traveling wave amplitude of this measurement point, and the traveling wave amplitude of each measurement point is respectively f1,f2,…fN, and constitute set F={ f1, f2,…fN};Measurement point maAdjacent measurement points traveling wave amplitude be designated as gather { fa1,fa2,...faja, a ∈ 1,2 ... and N }, obtain Adjacent measurement points traveling wave amplitude matrix L to each measurement point is expressed as:
Wherein, Z is the maximum in set J, and the empty element in L is substituted with value of zero;
3) step 2) the corresponding measurement point of obtained maximum row wave amplitude is defined as one end of fault, and this measurement point is designated as mi, and To measurement point miP adjacent measurement points be designated as b respectively1,b2,…bP, and constitute set B={ b1,b2,…bP};
4) adjacent measurement points b in set B are selectedj, adjacent measurement points bjCorresponding traveling wave amplitude is designated as fbj, j ∈ 1,2, ...P};Obtain bjTo measurement point mnThe node that passed through of shortest path, the node being passed through is according to bjTo measurement point mn The sequence number sequentially passing through node is arranged as set D={ mx,…my, wherein mxThe sequence number of first node by being passed through, myFor The sequence number of last node being passed through, n ∈ 1,2 ... N };If there is no measurement point m in described set Di, each in set D Node corresponding adjacent measurement points number collection is combined into JD={ jx,…jy, then in set D, the corresponding refraction coefficient of each node is d ={ dmx,…dmy}={ 2/ (jx+1),…2/(jy+ 1) }, by bjConvert measurement point mnTraveling wave amplitude be fnj'=fbj×dmx ×…×dmy;If including measurement point m in described set Di, delete m in set DiNode before, described set D is updated to D ={ mi,…my, then by bjConvert measurement point miTraveling wave amplitude be fnj'=fmi×…×dmy, fmiFor measurement point miCorresponding Traveling wave amplitude;Initial n=1, j=1, all adjacent measurement points in traversal set B, obtain being converted by P adjacent measurement points The traveling wave amplitude matrix of all measurement points for G is:
5) m will be measuredaTraveling wave amplitude poor with each of which adjacent measurement points traveling wave amplitude respectively, gatheredA ∈ 1,2 ... and N }, travel through each measurement point in described set F and obtain matrix △ F:
According to attenuation characteristic in communication process for the traveling wave amplitude, in matrix Δ F, each element makees the positive negative indication row of numerical value after difference The direction of propagation of ripple;
6) first row in the traveling wave amplitude matrix G that doubling is calculated does following process, obtains the direction of propagation square converting out Battle array △ G1For:
With sign function sgn (x) to matrix △ G1It is standardized processing with △ F:
sgn ( x ) = 1 x > 0 0 x = 0 - 1 x < 0
Its identical element number characterizes the similarity degree of two matrixes, and remembers that identical element number is s1, successively to each row in G Do above-mentioned process, obtain identical element number collection and be combined into S={ s1,s2,…sp, the corresponding measurement point of the maximum in set S is For the other end of faulty line, finally determine fault section.
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CN107422224B (en) * 2017-04-26 2018-11-02 中国矿业大学 A kind of asynchronous fault zone localization method of power grid
CN107505538A (en) * 2017-09-22 2017-12-22 中国矿业大学 The asynchronous Fault Locating Method of half-wave power transmission circuit based on line mode voltage traveling wave amplitude attenuation characteristic
CN107607836A (en) * 2017-09-22 2018-01-19 中国矿业大学 A kind of electric network fault area positioning method based on multidimensional information
CN107607836B (en) * 2017-09-22 2019-02-19 中国矿业大学 A kind of electric network fault area positioning method based on multidimensional information
CN109521330A (en) * 2018-12-06 2019-03-26 中国矿业大学 A kind of transmission line malfunction travelling wave ranging method based on the prediction of ARIMA wave head
CN109521330B (en) * 2018-12-06 2020-06-09 中国矿业大学 Power transmission line fault traveling wave distance measurement method based on ARIMA wave head prediction
CN113219298A (en) * 2021-03-24 2021-08-06 昆明理工大学 Complex alternating current power grid fault current traveling wave numerical simulation method
CN113219298B (en) * 2021-03-24 2022-10-11 昆明理工大学 Fault current traveling wave numerical simulation method for complex alternating current power grid
CN117723895A (en) * 2024-02-08 2024-03-19 南方电网数字电网研究院股份有限公司 Distribution network fault section positioning method and device based on multi-terminal amplitude ratio matrix
CN117723895B (en) * 2024-02-08 2024-05-03 南方电网数字电网研究院股份有限公司 Distribution network fault section positioning method and device based on multi-terminal amplitude ratio matrix

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