CN103293449B - Method for removing single-terminal traveling wave fault location dead area of high-voltage power grid in coal mine - Google Patents

Method for removing single-terminal traveling wave fault location dead area of high-voltage power grid in coal mine Download PDF

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CN103293449B
CN103293449B CN201210588864.0A CN201210588864A CN103293449B CN 103293449 B CN103293449 B CN 103293449B CN 201210588864 A CN201210588864 A CN 201210588864A CN 103293449 B CN103293449 B CN 103293449B
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wave
fault
head
wave head
point
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CN103293449A (en
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梁睿
王崇林
崔连华
周希伦
刘建华
高列
庞乐乐
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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
    • G01R31/11Locating faults in cables, transmission lines, or networks using pulse reflection methods
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02HEMERGENCY PROTECTIVE CIRCUIT ARRANGEMENTS
    • H02H7/00Emergency protective circuit arrangements specially adapted for specific types of electric machines or apparatus or for sectionalised protection of cable or line systems, and effecting automatic switching in the event of an undesired change from normal working conditions
    • H02H7/26Sectionalised protection of cable or line systems, e.g. for disconnecting a section on which a short-circuit, earth fault, or arc discharge has occured
    • H02H7/265Sectionalised protection of cable or line systems, e.g. for disconnecting a section on which a short-circuit, earth fault, or arc discharge has occured making use of travelling wave theory

Abstract

The invention provides a method for removing a single-terminal traveling wave fault location dead area of a high-voltage power grid in a coal mine, and belongs to a method for single-terminal traveling wave fault location of the high-voltage power grid in the coal mine. A traveling wave instant power is defined; a fault feature wave tip is identified by means of a method that special wave tips are mutually verified, and a location dead area problem is solved; a calculation value of a circuit topological parameter known structure is compared with a measurement value, wave tips reflected by non-fault circuits are removed, and a reflection wave tip of a bus at the opposite end of a fault circuit and fault point reflection wave tips, namely the special wave tips are searched; by means of further classification calculation of the special wave tips, the function of removing the location dead area is achieved, meanwhile fault precise location is achieved, and the location errors are within 100 meters by means of large quantities of simulation and on-site data tests. The method has the advantages that the distinguishing degree of the traveling wave tips is improved under high noise in the practical power grid; in the power grid of the coal mine, by means of the method that the two special wave tips with faults are mutually verified, the problems that in circuits with mixed cables, the wave velocity is not consistent, and the wave tips are difficult to identify are solved.

Description

A kind of method eliminating coalmine high-voltage power network single-ended traveling wave fault location dead area
Technical field
The present invention relates to the method for a kind of coalmine high-voltage power network single-ended traveling wave fault location, especially a kind of method eliminating coalmine high-voltage power network single-ended traveling wave fault location dead area.
Background technology:
China's coal-mine power supply high voltage electrical network mostly is single-ended radial electrical network, and common voltage grade mostly is 10kV or 6kV single busbar or double-bus is powered.According to statistics, more than 80% of Coal Mine Power Network singlephase earth fault is.
Distance-finding method at present based on fault transient travelling wave analysis mainly contains following two kinds of methods: single-ended method and both-end method, and the time difference that single-ended method arrives test side according to wavefront and the wave head penetrated of turning back arrives test side again calculates fault distance; Both-end rule calculates the time difference that trouble point arrives faulty line both sides test point, obtains fault distance.Both-end travelling wave ranging method obtains certain application, but single ended approach the reason such as cannot to realize automatically due to the difficulty of actual detection of reflected wave head and computer, is not yet applied.Single end distance measurement method is at half above compared with the cost of double-end distance measurement method, do not need GPS timing system and two ends data communication etc., the real-time of range measurement is stronger, therefore, to the research of single-ended traveling wave fault location, there is important practical significance, theoretical research has good potentiality and value.
Due to the complexity of colliery distribution network line and the randomness of fault distance, there is the possibility of location dead area in Single Terminal Traveling Wave Fault Location, namely fault distance is just equal with certain outlet, causes wavefront to arrive simultaneously, and the wave head of reaction fault distance is overlapping with the wave head of reaction non-fault line total length.Current Single Terminal Traveling Wave Fault Location method can be divided into frequency method, time domain method again.The characteristic frequency extracted and trouble point and wave impedance discontinuity point have inverse relation to the distance of measurement point, when fault distance and other outlet or branch length lucky equal time, trouble point characteristic frequency in spectrogram will be buried in the intrinsic characteristic frequency of a certain reaction line topological, and during time-domain analysis, the wavefront of same path length will arrive measurement point simultaneously, thus make the voltage of acquisition or current signal obtain enhancing in various degree or weakening, add the difficulty that it identifies.
Summary of the invention:
The object of the invention is to provide a kind of method eliminating coalmine high-voltage power network single-ended traveling wave fault location dead area, solving existing single-ended traveling wave fault locates because fault traveling wave feature is difficult to differentiate, if when abort situation and circuit essential characteristic coupling, have the problem judging dead band deficiency especially.
The object of the present invention is achieved like this: the method is passed through the calculated value of line topological parameter known structure and comparing of measured value, get rid of the wave head of non-fault line reflection, the back wave wave head of trouble-shooting circuit opposite end bus and trouble point back wave wave head and special wave head; Further to special wave head classified calculating, eliminate location dead area, realize fault and accurately locate;
A, definition line ripple instantaneous power:
The characteristic spectra of row ripple is f=10 ~ 100kHz, and namely in above-mentioned frequency range, the energy of row ripple is maximum; Travelling wave signal is before CT or PT introduces data acquisition unit, bandpass filtering treatment is carried out to signal, suppresses the very high frequency(VHF) signal in power system, avoid the superposition of travelling wave signal in power frequency and industrial frequency harmonic, reduce the dynamic fluctuation scope of signal, improve the resolution ratio of data acquisition;
Due to fault occur after, the wire with distributed constant defines wave process, electromagnetic field with close to the light velocity to circuit two ends propagate, the energy of electromagnetic field of definition line ripple and instantaneous power, its catastrophe point is defined as row ripple due in equally; Voltage signal u (t) in the certain hour section obtain observation station, current signal i (t), after Clark conversion, obtains Aerial mode component u α(t) and i α(t), and definition line ripple instantaneous power, p (t)=u α(t) i α(t);
B, special wave head confirms mutually:
When circuit topological parameter is known, according to traveling wave speed theoretical value, precalculate row ripple and travel to and fro between fault measuring point and each line end or the branch point time used, be designated as t ' i, wherein, when i represents that circuit normally runs, from measurement point, the number of wave impedance discontinuity point, comprises branch point and line end point; Observe the d1 layer of row ripple instantaneous power signal after db6 wavelet decomposition, record row ripple arrives the moment t of measurement point for the first time 0, calculate Observable wave head and the time difference t in initial wave head moment respectively m-t 0, wherein, m represents except initial wavefront, and the number of actual Observable wave head, comprises branch point, the back wave of line end point and trouble point;
Contrast calculated value and measured value, gets rid of the wave head of non-fault line reflection, the back wave wave head of trouble-shooting circuit opposite end bus and trouble point back wave wave head and special wave head;
There are following three kinds of situations in special wave head:
1, two wave heads all cannot be corresponding with theoretical value, and the opposite end bus back wave of at this moment fault outlet is all not overlapping with other wave heads with trouble point back wave;
2, there is a wave head cannot be corresponding with theoretical value, at this moment the dead-time problem of Single Terminal Traveling Wave Fault Location method is created, this is divided into again: the back wave of trouble point overlaps with the back wave wave head of certain outlet, and the opposite end bus back wave of fault outlet overlaps with the back wave of certain outlet;
3, trouble point back wave is all overlapping with the back wave of non-fault line with opposite end bus back wave, i.e. the extreme case in Single Terminal Traveling Wave Fault Location dead band.
Invention defines row ripple instantaneous power, p (t)=u α(t) i αt (), due to the method for single analytical voltage or current signal, is subject to the interference of noise in electrical network, easily occur the erroneous judgement of wave head, and row ripple instantaneous power effectively improves the adaptability of wave head identification to noise jamming.
Beneficial effect, in running in actual electric network, travelling wave signal is vulnerable to the interference of noise, and during the discrimination of wavelet analysis modulus maximum, the row ripple catastrophe point that amplitude is less inevitably causes the erroneous judgement of wavefront, makes a big impact to the result of fault location.Utilize the row ripple instantaneous power of row wave voltage, current definition, the sudden change amplitude of signal is exaggerated at a certain catastrophe point place, reduce the amplitude of noise from another point of view, effectively enhance the resolution degree compared with smooth sea head in row ripple, make the more feasible and precision of localization method.
For the situation in the range finding dead band in the principle that single-ended traveling wave localization method occurs, according to the special wave head of two reaction fault distances, i.e. the mathematical relationship of trouble point back wave and faulty line opposite end bus back wave, v (Δ T 1+ Δ T 2)=2L, wherein, Δ T 1for the time difference of trouble point back wave and initial wave head, Δ T 2for the time difference of opposite end bus back wave and initial wave head, v is the spread speed of row ripple in certain medium, and L is the total length of faulty line.To each row ripple identification one by one observed, get rid of the back wave wave head of non-fault line and branch point, utilize the arbitrary due in above-mentioned special wave head, carry out fault location.The mathematical relationship that the method applies two wave heads is verified, effectively improves Single Terminal Traveling Wave Fault Location adaptation of methods and feasibility, reaches object of the present invention.
The present invention compared with prior art tool has the following advantages:
1, define row ripple instantaneous power, improve the wavefront resolution degree in actual electric network under strong noise;
2, in Coal Mine Power Network, utilize two of fault outlet methods that special wave head is verified mutually, solve in cable joint line, velocity of wave is inconsistent, the impalpable problem of wave head;
Accompanying drawing explanation
Fig. 1 is the Single Terminal Traveling Wave Fault Location algorithm pattern that the present invention considers wave head overlap.
Fig. 2 is line topological schematic diagram of the present invention.
Fig. 3 is travelling wave current, voltage and instantaneous power figure after fault of the present invention occurs.
Fig. 4 is the wavelet analysis result figure based on instantaneous power of the present invention.
Detailed description of the invention
Embodiment 1: the method by the calculated value of line topological parameter known structure and comparing of measured value, gets rid of the wave head of non-fault line reflection, the back wave wave head of trouble-shooting circuit opposite end bus and trouble point back wave wave head and special wave head; Further to special wave head classified calculating, eliminate location dead area, realize fault and accurately locate;
1, definition line ripple instantaneous power:
The characteristic spectra of row ripple is f=10 ~ 100kHz, and namely in above-mentioned frequency range, the energy of row ripple is maximum.Travelling wave signal is before CT or PT introduces data acquisition unit, need to carry out bandpass filtering treatment to signal, object suppresses the very high frequency(VHF) signal in power system, and avoid the superposition of travelling wave signal in power frequency and industrial frequency harmonic, reduce the dynamic fluctuation scope of signal, improve the resolution ratio of data acquisition;
After fault occurs, the wire with distributed constant defines wave process, and electromagnetic field is propagated to circuit two ends with certain speed, can the energy of electromagnetic field of definition line ripple and instantaneous power, and its catastrophe point may be defined as row ripple due in equally; Voltage signal u (t) in the certain hour section obtain observation station, current signal i (t), after Clark conversion, obtains Aerial mode component u α(t) and i α(t), and definition line ripple instantaneous power, p (t)=u α(t) i α(t).
2, the special wave head method of mutually confirming:
When circuit topological parameter is known, according to traveling wave speed theoretical value, precalculate row ripple and travel to and fro between fault measuring point and each line end or the branch point time used, be designated as t ' i, wherein, when i represents that circuit normally runs, from measurement point, the number of wave impedance discontinuity point, comprises branch point and line end point; Observe the d1 layer of row ripple instantaneous power signal after db6 wavelet decomposition, record row ripple arrives the moment t of measurement point for the first time 0, calculate Observable wave head and the time difference t in initial wave head moment respectively m-t 0, wherein, m represents except initial wavefront, and the number of actual Observable wave head, comprises branch point, the back wave of line end point and trouble point;
Contrast calculated value and measured value, gets rid of the wave head of non-fault line reflection, the back wave wave head of trouble-shooting circuit opposite end bus and trouble point back wave wave head and special wave head.There are following three kinds of situations in special wave head:
If 1 has two wave heads cannot be corresponding with theoretical value, illustrate that these two wave heads are trouble point back wave and opposite end bus back wave respectively;
If 2 only have a wave head cannot be corresponding with theoretical value, the dead band having occurred method of single end distance measurement is described, namely trouble point back wave or faulty line opposite end bus reflection wave head overlap with non-fault line fault back wave wave head; Utilize the relation of the time difference of two wave heads of reaction faulty line total length, that is: v (Δ T 1+ Δ T 2)=2L, wherein, Δ T 1for the time difference of trouble point back wave and initial wave head, Δ T 2for the time difference of opposite end bus back wave and initial wave head, v is the spread speed of row ripple in certain medium, and L is the total length of faulty line.Calculate opposite end bus back wave corresponding to this wave head or trouble point back wave wave head, if calculated value is corresponding with a certain theoretical moment, then can determine, this reflection wave head is from opposite end bus or trouble point;
If 3 wave heads and theoretical value are all corresponding, illustrate that the opposite end bus back wave of fault outlet and trouble point back wave are all overlapping with non-faulting outlet wave head, this is a kind of extreme situation; In time period T, respectively to each wave head carry out as
2) calculating checking, distinguishes wave head with this.
Corresponding method is adopted to calculate fault distance for situations different above.
As shown in Figure 1, the concrete steps of this method are as follows for this method specific implementation flow chart:
1, when break down in the cable outlet somewhere of system, high-speed data acquisition card is utilized to adopt the sampling rate of 10MHz or higher to obtain electric current and the voltage signal of CT, PT secondary side, respectively Clark is carried out to it and convert decoupling zero, and calculate row ripple instantaneous power corresponding to line mould;
2, when circuit topological parameter is known, according to traveling wave speed theoretical value, precalculate row ripple and travel to and fro between fault measuring point and each line end or the branch point time used, be designated as t ' i, wherein, when i represents that circuit normally runs, from measurement point, the number of wave impedance discontinuity point, comprises branch point and line end point.
3, observe the d1 layer of row ripple instantaneous power signal after db6 wavelet decomposition, record row ripple arrives the moment t of measurement point for the first time 0, calculate Observable wave head and the time difference t in initial wave head moment respectively m-t 0, wherein, m represents except initial wavefront, and the number of actual Observable wave head, comprises branch point, the back wave of line end point and trouble point.
4, by 3) with 2) contrast, get rid of the wave head of non-fault line reflection, if two wave heads cannot be corresponding with theoretical value, then illustrate that the opposite end bus back wave of fault outlet and all non-outlet of trouble point back wave and other wave head overlap, directly can calculate fault distance; If only there is a wave head corresponding with theoretical value, then above-mentioned two wave head one there occurs overlapping with other wave head, i.e. the dead-time problem of Single Terminal Traveling Wave Fault Location method.
5, the problems referred to above solution is divided into again two kinds of situations: the back wave of trouble point overlaps with the wave head of the back wave of certain outlet, the wave head only having opposite end bus back wave that now can find, utilize the relation of trouble point back wave and opposite end bus back wave wave head due in verify, determine fault distance with this; The back wave of opposite end bus of fault outlet overlaps with the wave head of the back wave of certain outlet, localization method and the previous case similar.
If 6 trouble point back waves and opposite end bus back wave all overlap with the back wave of non-fault line, the i.e. extreme case in Single Terminal Traveling Wave Fault Location dead band, then calculate the due in of its corresponding special wave head one by one according to the wave head outside initial wave head, the wavefront being faults line length of the moment appearance that overlaps at wave head.
Embodiment 2: the present invention has very high position precision and possess very high adaptability at Complicated Distribution Network, and system or the system scale of different scales change, and the present invention all can meet.Now for a model:
In fig. 2, overhead transmission line and cable adopt Frequency Dependent (Phase) Model, and this model more can reflect transient state and the harmonic characterisitic of circuit.Wherein, 10kV network has 6 outlets, 3 overhead transmission lines, 2 cable runs, 1 cable joint line (adding thick line is cable).The parameter of overhead transmission line is: zero sequence impedance 0.3E ?03+j0.1E ?02 Ω/m, positive sequence impedance 0.3E ?04+j0.4E ?03 Ω/m; Zero sequence admittance be 0.1E ?10+j0.2E ?08S/m, positive sequence admittance be 0.1E ?10+j0.3E ?08S/m.The parameter of cable is: zero sequence impedance be 0.2E ?03+j0.2E ?02 Ω/m, the impedance of positive sequence be 0.3E ?04+j0.2E ?03 Ω/m; Zero sequence admittance be j0.2E ?07S/m, positive sequence admittance be j0.2E ?07S/m.The α mould velocity of wave of overhead transmission line can be calculated, v according to line parameter circuit value α 1=2.994E8m/s, cable run v α 2=1.5169E8m/s.The transformer that outlet termination Y ?Δ type connects, no-load voltage ratio is 35/11kV, and capacity is 31.5MVA, the transformer that load side joint Y ?Δ type connects, and no-load voltage ratio is 10/0.66kV, and capacity is 1MVA, and neutral point adopts earth-free mode.Load uses fixed load model, and is set to inductive load.Due to the cable fault occurred in Coal Mine Power Network, mostly be singlephase earth fault, and earth resistance is little in most cases, so, emulate with A phase through 100 Ohmic resistance ground connection.
For the situation of single-line to ground fault, phase-model transformation must be used to carry out decoupling zero to each wire, thus determine single velocity of wave, actual distribution line transposition is also insufficient, but when balance circuit modular transformation matrix carries out decoupling zero to Asymmetric Links, coupling between each modulus is very little, so can be reduced to balanced circuit to process, uses real number matrix Clark conversion.And α mold component is passed into the Butterworth bandpass filter of 10 ~ 100kHz second order.Common one-end fault positioning principle has been become to carry out.Fault occur after 0.1ms time period in, the transient voltage that bus place detects, electric current respectively through Clark conversion after α mould transient-wave and calculate as shown in Figure 3 by voltage, galvanometer, become common one-end fault positioning principle to carry out.
In figure 3, comparison with voltage, current signal, the waveform relative smooth of row ripple instantaneous power, the amplitude of ripple is less, although signal is after filtering, the amplitude of noise can reduce to some extent, but due to data acquisition, the factors such as filtering link, still cannot avoid noise on the impact of weak travelling wave signal, especially, in the Coal Mine Power Network of reality, row ripple instantaneous power defined herein can effectively reduce and affect by outside noise.
Note t 0for initial wave head due in, according to line length parameter and in conjunction with route selection result, the time difference of back wave due in corresponding to certain outlet and initial wave head can be calculated, that is, after fault traveling wave arrives measurement point (bus), through other paths, the time period of return measurement point again, is designated as, t respectively 1..., t 11, result is as shown in table 1 below.
Table 1 is according to the theoretical value of each outlet correspondence reflection wave head due in of route parameter calculation
Wherein, outlet NO. a line represents i-th line end back wave and arrives the measurement point moment, i mexpression comes and goes the back wave due in of m time in outlet, 4 ' represents the 4th article of outlet cable blends back wave and arrives moment of measuring junction, i ?j represent that row ripple reflects not only through i-th outlet and enter the outlet of jth bar and be reflected back moment of measuring junction or row ripple enters through the outlet of jth bar but also refraction the moment that i-th outlet is reflected back measuring junction.Utilize defined small echo instantaneous power to carry out db6 wavelet analysis above, wherein, the analysis result of d1 layer as shown in Figure 4.
In the diagram, if unknown in fault, when fault moment the unknown, initial wave head due in Fig. 4 is utilized as benchmark, to read t in figure respectively 1~ t 11relative t 0the coordinate in moment, and with table 1 in react non-fault line total length or other impedance discontinuities point time contrast.
The result display of contrast, among involved 11 wave heads, only has t 5?t 0the theoretical value of the wave head time difference that=49.94us cannot calculate with table 1 is close, and under normal circumstances, due to the effect of dispersion of row ripple, in the finite time section observing wave head, should at least also have two wave heads obviously to observe to obtain, the i.e. primary reflection of trouble point and the primary reflection of faulty line load side, but in Fig. 4, only observed one can identification wave head.Clearly, due to the complexity of colliery distribution network line and the randomness of fault distance, there is the possibility of location dead area in Single Terminal Traveling Wave Fault Location, namely fault distance is just equal with certain outlet, cause wavefront to arrive, the wave head of reaction fault distance is overlapping with the wave head of reaction non-fault line total length simultaneously.
Now, the back wave of the trouble point utilizing one-end fault ranging to derive and the relation of opposite end bus back wave wave head time of advent are proposed namely herein: v (Δ T 1+ Δ T 2)=2L, determines that special wave head carrys out the impact of deadband eliminating, wherein, and Δ T 1for the time difference of trouble point back wave and initial wave head, Δ T 2for the time difference of opposite end bus back wave and initial wave head, v is the spread speed of row ripple in certain medium, and L is the total length of faulty line, and x is the distance that test point is arrived in trouble point.If t 5?t 0=49.94us is the time difference of trouble point back wave due in and initial wave head, then corresponding opposite end bus back wave due in is (t 5?t 0) '=42.19us; If t 5?t 0=49.94us is the time difference of opposite end bus back wave and initial wave head, then corresponding trouble point back wave due in is (t 5?t 0) '=28.9us.From table 1, we can see that 42.19us is between t 3with t 4between, and 28.9us and t 2very close, then can determine, t 5?t 0=49.94us is the time difference of opposite end bus back wave and initial wave head, and namely can calculate fault distance is 2.192km, and absolute error is 8m.

Claims (1)

1. eliminate the method for coalmine high-voltage power network single-ended traveling wave fault location dead area for one kind, it is characterized in that: the method is passed through the calculated value of line topological parameter known structure and comparing of measured value, get rid of non-fault line back wave wave head, the back wave wave head of trouble-shooting circuit opposite end bus and trouble point back wave wave head, the back wave wave head of faulty line opposite end bus and trouble point back wave wave head and special wave head; Further to special wave head classified calculating, eliminate location dead area, realize fault and accurately locate;
A, definition line ripple instantaneous power:
The characteristic spectra of row ripple is f=10 ~ 100kHz, and namely in above-mentioned frequency range, the energy of row ripple is maximum; Travelling wave signal is before CT or PT introduces data acquisition unit, bandpass filtering treatment is carried out to travelling wave signal, suppresses the very high frequency(VHF) signal in power system, avoid the superposition of travelling wave signal in power frequency and industrial frequency harmonic, reduce the dynamic fluctuation scope of travelling wave signal, improve the resolution ratio of data acquisition;
Due to fault occur after, the wire with distributed constant defines wave process, electromagnetic field with close to the light velocity to circuit two ends propagate, the energy of electromagnetic field of definition line ripple and instantaneous power, its catastrophe point is defined as row ripple due in equally; Voltage signal u (t) in the certain hour section obtain fault measuring point, current signal i (t), after Clark conversion, obtains Aerial mode component u α(t) and i α(t), and definition line ripple instantaneous power, p (t)=u α(t) i α(t);
B, special wave head confirms mutually:
When circuit topological parameter is known, according to traveling wave speed theoretical value, precalculate row ripple and travel to and fro between fault measuring point and each line end point or the branch point time used, be designated as t ' i, wherein, when i represents that circuit normally runs, from fault measuring point, the number of wave impedance discontinuity point, comprises branch point and line end point; Observe the d1 layer of row ripple instantaneous power signal after db6 wavelet decomposition, record row ripple arrives the moment t of fault measuring point for the first time 0, calculate Observable wave head and the time difference t in initial wave head moment respectively m-t 0, wherein, m represents except initial wave head, and the number of actual Observable wave head, comprises branch point, line end point and trouble point back wave wave head;
Contrast calculated value and measured value, gets rid of non-fault line reflection wave head, trouble-shooting circuit opposite end bus back wave wave head and trouble point back wave wave head and special wave head;
There are following three kinds of situations in special wave head:
(1), two wave heads all cannot be corresponding with theoretical value, and at this moment the back wave wave head of faulty line opposite end bus is all not overlapping with other wave heads with trouble point back wave wave head;
(2), there is a wave head cannot be corresponding with theoretical value, at this moment the dead-time problem of Single Terminal Traveling Wave Fault Location method is created, this is divided into again: trouble point back wave wave head overlaps with the back wave wave head of certain circuit, and faulty line opposite end bus back wave wave head overlaps with the back wave wave head of certain circuit;
(3), trouble point back wave wave head is all overlapping with non-fault line back wave wave head with faulty line opposite end bus back wave wave head, i.e. the extreme case in Single Terminal Traveling Wave Fault Location dead band.
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