CN106841913B - Distribution line fault location method - Google Patents

Distribution line fault location method Download PDF

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CN106841913B
CN106841913B CN201710025385.0A CN201710025385A CN106841913B CN 106841913 B CN106841913 B CN 106841913B CN 201710025385 A CN201710025385 A CN 201710025385A CN 106841913 B CN106841913 B CN 106841913B
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traveling wave
fault
reclosing
wave
switching
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CN106841913A (en
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施慎行
雷傲宇
董新洲
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Tsinghua University
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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
    • G01R31/085Locating faults in cables, transmission lines, or networks according to type of conductors in power transmission or distribution lines, e.g. overhead
    • YGENERAL 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
    • Y04INFORMATION OR COMMUNICATION TECHNOLOGIES HAVING AN IMPACT ON OTHER TECHNOLOGY AREAS
    • Y04SSYSTEMS INTEGRATING TECHNOLOGIES RELATED TO POWER NETWORK OPERATION, COMMUNICATION OR INFORMATION TECHNOLOGIES FOR IMPROVING THE ELECTRICAL POWER GENERATION, TRANSMISSION, DISTRIBUTION, MANAGEMENT OR USAGE, i.e. SMART GRIDS
    • Y04S10/00Systems supporting electrical power generation, transmission or distribution
    • Y04S10/50Systems or methods supporting the power network operation or management, involving a certain degree of interaction with the load-side end user applications
    • Y04S10/52Outage or fault management, e.g. fault detection or location

Abstract

The invention provides a fault location method of a distribution line, which comprises the following steps: 102, if the distribution line is normal, acquiring and recording a closing traveling wave generated by the breaker from a closing moment when the breaker is closed; 104, if the distribution line has a permanent fault, acquiring and recording a reclosing traveling wave generated by the breaker from the reclosing moment when the breaker is tripped and then reclosed; 106, determining to be superposed on the fault superposition traveling wave according to the switching-on traveling wave and the reclosing traveling wave; and 108, calculating the fault point distance of the distribution line according to the fault point reflected wave superposed in the fault superposition traveling wave and the reclosing time. According to the technical scheme, when the permanent fault occurs in the power distribution network line, the fault can be quickly and accurately positioned, and the accurate fault positioning of the single end is realized.

Description

Distribution line fault location method
Technical Field
The invention relates to the technical field of power systems, in particular to a fault location method of a power line.
Background
At present, because the structure of a power distribution network is complex, branches are numerous, a cable-overhead line mixed circuit exists in partial areas, the automation coverage level of the power distribution network is limited, and most areas only have single-ended measurement conditions of a transformer substation or a substation, accurate fault positioning is always a big problem in the power distribution network.
The existing power distribution network fault location method mainly comprises a fault steady state quantity method, a fault transient quantity method and an injection method. The fault steady state quantity method is mainly an impedance method, the impedance of a fault loop is obtained by using the voltage and the current measured during the fault, and the method is suitable for feeder lines with few branches and simple structures, but is not suitable for feeder lines with multiple branches or cable-overhead line mixed feeder lines. The fault transient quantity method is mainly a traveling wave method, and fault location is performed by using transient traveling waves generated by faults and can be divided into a single-end method and a double-end method. The main problem faced by the single-end method is that the transient traveling wave can frequently generate refraction and reflection at branch nodes and mixed line nodes, the reflected waves of the nodes need to be discriminated one by one, and the reflected waves of a fault point are extremely difficult to identify; the double-end method only adopts initial transient traveling waves, but needs equipment to be installed at the tail ends of all branches, and cannot be realized in practice; in addition, a method for measuring distance by adopting the time difference between the initial line mode wave traveling wave and the initial zero mode traveling wave is adopted, but the dispersion is serious in the zero mode traveling wave propagation process, and how to calibrate the arrival time and determine the wave speed of the zero mode traveling wave is a main problem. The injection method is a method for injecting a special signal into a system to measure the distance after a system fault, and mainly comprises an S injection method, a port fault diagnosis method, a signal adding transfer function method and a single-end injection traveling wave method, and the injection method has the main problem that a special signal source and an auxiliary detection device are required to be additionally arranged, but the investment cost is high.
Therefore, how to quickly and accurately locate the fault when the permanent fault occurs in the power distribution network line and avoid the problem that the investment cost for detecting the fault is too high becomes an urgent solution.
Disclosure of Invention
Based on the problems, the invention provides a novel single-ended distance measurement technical scheme which is used for rapidly and accurately positioning faults when permanent faults occur in a distribution line.
In view of this, the present invention provides a single-ended traveling wave fault location method for a power distribution line, including: 102, if the distribution line is normal, acquiring and recording a closing traveling wave generated by the breaker from a closing moment when the breaker is closed; 104, if the distribution line has a permanent fault, acquiring and recording a reclosing traveling wave generated by the breaker from the reclosing moment when the breaker is tripped and then reclosed; 106, determining to be superposed on the fault superposition traveling wave according to the switching-on traveling wave and the reclosing traveling wave; and 108, calculating the fault point distance of the distribution line according to the fault point reflected wave superposed in the fault superposition traveling wave and the reclosing time.
In the technical scheme, when the breaker is normally switched on and is re-switched on when a permanent fault occurs, the structures and loads of all the feeder lines and the branches thereof are unchanged, the feeder lines and the branches thereof are overlapped on the fault superposition traveling wave and only reflect the influence of the fault branch, and the fault branch only reflects the refraction and reflection of the fault branch node on the wave and does not reflect the influence of other branches or mixed line nodes from the angle of the transient traveling wave, so that a fault reflected wave can be identified according to the overlapped fault superposition traveling wave, and the fault point distance can be accurately determined by combining the switching-on traveling wave from the switching-on moment. In addition, the fault point distance measurement is carried out by superposing the fault superposition traveling wave, so that the interference caused by branch nodes and mixed line nodes in the feeder line can be eliminated, and the fault point distance can be accurately and quickly determined. In addition, the distance measurement scheme does not need to be additionally provided with injection equipment, is suitable for a power distribution system with single-ended measurement conditions, is not influenced by a neutral point grounding form, can be used for distance measurement particularly under the condition that a feeder line has a multi-branch line or a mixed line, is wide in application, and has lower investment cost for fault detection.
In the above technical solution, preferably, step 106 specifically includes: respectively carrying out normalization processing on the switching-on traveling wave and the reclosing traveling wave; calculating the normalized switching-on traveling wave and the normalized reclosing traveling wave through the following formula to determine that the switching-on traveling wave is superposed on the fault superposition traveling wave,
Figure BDA0001209581660000021
wherein the content of the first and second substances,
Figure BDA0001209581660000022
indicating that the coincidence is superimposed on the fault traveling wave,
Figure BDA0001209581660000023
representing the normalized reclosing travelling wave,
Figure BDA0001209581660000024
and representing the normalized switching-on traveling wave.
According to the technical scheme, the switching-on traveling wave and the reclosing traveling wave are respectively subjected to normalization processing, then the reclosing traveling wave and the reclosing traveling wave after the normalization processing are utilized to calculate the superposition traveling wave of the fault, the superposition traveling wave of the fault is superposed on the superposition traveling wave of the fault, the interference of a mixed line node on the transient traveling wave can be eliminated, and therefore the accurate measurement of the distance of the fault point is achieved.
In any of the above technical solutions, preferably, the normalizing the closing traveling wave and the reclosing traveling wave respectively includes: performing wavelet transformation on the switching-on traveling wave and the reclosing traveling wave respectively to determine a first modulus maximum of the switching-on traveling wave and a first modulus maximum of the reclosing traveling wave; respectively carrying out normalization processing on the switching-on traveling wave and the reclosing traveling wave according to the following formula,
Figure BDA0001209581660000031
wherein, YnRepresents said switching-on travelling wave, MnRepresents the first mode maximum, Y, of the switching-on traveling wavefRepresenting said reclosing travelling wave, MfAnd the maximum value of the first mode of the reclosing travelling wave is shown.
In the technical scheme, because the reclosing angles corresponding to the closing traveling wave and the fault amount are different, the reclosing waves with different amplitudes are generated, so that the closing traveling wave and the reclosing traveling wave are subjected to wavelet transformation respectively to obtain a modulus maximum value after the wavelet transformation, after noise elimination, the first modulus maximum value of the closing traveling wave and the reclosing traveling wave is determined, and then the closing traveling wave and the reclosing traveling wave are subjected to normalization processing according to the first modulus maximum value to calculate the superposition of the fault branch onto the fault superposition traveling wave.
In any of the above technical solutions, preferably, the switching-on traveling wave and the reclosing traveling wave are subjected to wavelet transformation by the following formulas:
Figure BDA0001209581660000032
wherein f (n) represents the traveling closing wave or the traveling reclosing wave,
Figure BDA0001209581660000033
representing the approximation component of the j-th scale,
Figure BDA0001209581660000034
for the wavelet component of the j-th scale, h (k1 and g (k2 both represent filter parameters; and the modulus maximum is calculated by the following formula:
Figure BDA0001209581660000035
wherein the content of the first and second substances,
Figure BDA0001209581660000036
the modulus maxima of the wavelet transform at the j-th scale,
Figure BDA0001209581660000037
the wavelet component of the j-th scale representing the kth point data in the current layer.
In the technical scheme, wavelet transformation is carried out through the formula, so that the error of positioning the fault point in the distribution line can be reduced, and the accuracy of fault point distance measurement is ensured.
In any of the above technical solutions, preferably, step 108 specifically includes: the distance of the fault point of the distribution line is calculated according to the following formula,
Figure BDA0001209581660000041
where X denotes a fault point distance of the distribution line, t3 denotes a time of the fault point reflected wave, t2 denotes the reclosing time, and V denotes a traveling wave velocity.
By the technical scheme of the invention, the distance of the permanent fault in the distribution line is calculated to further determine the position of the fault point, so that the fault can be quickly and accurately positioned, the fault processing and power supply recovery speed is accelerated, the loss caused by power failure is reduced, and the overhigh investment cost for detecting the fault can be avoided.
Drawings
Figure 1 shows a schematic flow diagram of a method for fault location of a distribution line according to an embodiment of the invention;
figure 2 shows a schematic diagram of a distribution line model according to one embodiment of the present invention;
figure 3 shows a schematic diagram of the structure of a feeder of the distribution line model according to one embodiment of the invention;
figure 4 shows a schematic tower structure diagram of a distribution line model according to an embodiment of the invention;
figure 5 shows a schematic diagram of a traveling wave waveform of a simulated ranging reclosure of a distribution line model according to one embodiment of the invention;
FIG. 6 illustrates a schematic diagram of a normalized traveling wave waveform of simulated ranging of a distribution line model according to one embodiment of the present invention;
figure 7 shows a schematic diagram of a superimposed permanent fault traveling wave waveform at simulated ranging load changes of a distribution line model according to an embodiment of the invention.
Detailed Description
So that the manner in which the above recited objects, features and advantages of the present invention can be understood in detail, a more particular description of the invention, briefly summarized above, may be had by reference to the embodiments thereof which are illustrated in the appended drawings. It should be noted that the embodiments and features of the embodiments of the present application may be combined with each other without conflict.
In the following description, numerous specific details are set forth in order to provide a thorough understanding of the present invention, however, the present invention may be practiced in other ways than those specifically described herein, and therefore the scope of the present invention is not limited by the specific embodiments disclosed below.
Fig. 1 shows a schematic flow chart of a fault location method of a distribution line according to an embodiment of the invention.
As shown in fig. 1, a method for ranging a fault of a distribution line according to an embodiment of the present invention includes:
and 102, if the distribution line is normal, acquiring and recording a closing traveling wave generated by the breaker from the closing moment when the breaker is closed.
And 104, if the distribution line has a permanent fault, acquiring and recording a reclosing traveling wave generated by the breaker from the reclosing moment when the breaker is tripped and then reclosed.
The switching-on traveling wave and the switching-off traveling wave can be current traveling waves or voltage traveling waves. The closing time may be recorded as t1, and the reclosing time may be recorded as t 2.
And 106, determining to be superposed on the fault superposition traveling wave according to the switching-on traveling wave and the reclosing traveling wave.
And 108, calculating the fault point distance of the distribution line according to the fault point reflected wave superposed in the fault superposition traveling wave and the reclosing time.
In the technical scheme, when the breaker is normally switched on and is re-switched on when a permanent fault occurs, the structures and loads of all the feeder lines and the branches thereof are unchanged, the feeder lines and the branches thereof are overlapped on the fault superposition traveling wave and only reflect the influence of the fault branch, and the fault branch only reflects the refraction and reflection of the fault branch node on the wave and does not reflect the influence of other branches or mixed line nodes from the angle of the transient traveling wave, so that a fault reflected wave can be identified according to the overlapped fault superposition traveling wave, and the fault point distance can be accurately determined by combining the switching-on traveling wave from the switching-on moment. In addition, the fault point distance measurement is carried out by superposing the fault superposition traveling wave, so that the interference caused by branch nodes and mixed line nodes in the feeder line can be eliminated, and the fault point distance can be accurately and quickly determined. In addition, the distance measurement scheme does not need to be additionally provided with injection equipment, is suitable for a power distribution system with single-ended measurement conditions, is not influenced by a neutral point grounding form, can be used for distance measurement particularly under the condition that a feeder line has a multi-branch line or a mixed line, is wide in application, and has lower investment cost for fault detection.
In the above technical solution, preferably, step 106 specifically includes: respectively carrying out normalization processing on the switching-on traveling wave and the reclosing traveling wave; calculating the normalized switching-on traveling wave and the normalized reclosing traveling wave through the following formula to determine that the switching-on traveling wave is superposed on the fault superposition traveling wave,
Figure BDA0001209581660000061
wherein the content of the first and second substances,
Figure BDA0001209581660000062
indicating the coincidence is a faultThe traveling wave is superimposed on the traveling wave,
Figure BDA0001209581660000063
representing the normalized reclosing travelling wave,
Figure BDA0001209581660000064
and representing the normalized switching-on traveling wave.
According to the technical scheme, the switching-on traveling wave and the reclosing traveling wave are respectively subjected to normalization processing, then the reclosing traveling wave and the reclosing traveling wave after the normalization processing are utilized to calculate the superposition traveling wave of the fault, the superposition traveling wave of the fault is superposed on the superposition traveling wave of the fault, the interference of a mixed line node on the transient traveling wave can be eliminated, and therefore the accurate measurement of the distance of the fault point is achieved.
In any of the above technical solutions, preferably, the normalizing the closing traveling wave and the reclosing traveling wave respectively includes: performing wavelet transformation on the switching-on traveling wave and the reclosing traveling wave respectively to determine a first modulus maximum of the switching-on traveling wave and a first modulus maximum of the reclosing traveling wave; respectively carrying out normalization processing on the switching-on traveling wave and the reclosing traveling wave according to the following formula,
Figure BDA0001209581660000065
wherein, YnRepresents said switching-on travelling wave, MnRepresents the first mode maximum, Y, of the switching-on traveling wavefRepresenting said reclosing travelling wave, MfAnd the maximum value of the first mode of the reclosing travelling wave is shown.
In the technical scheme, because the reclosing angles corresponding to the closing traveling wave and the fault amount are different, the reclosing waves with different amplitudes are generated, so that the closing traveling wave and the reclosing traveling wave are subjected to wavelet transformation respectively to obtain a modulus maximum value after the wavelet transformation, after noise elimination, the first modulus maximum value of the closing traveling wave and the reclosing traveling wave is determined, and then the closing traveling wave and the reclosing traveling wave are subjected to normalization processing according to the first modulus maximum value to calculate the superposition of the fault branch onto the fault superposition traveling wave.
In addition, after normalization processing is carried out on the closing travelling wave in normal operation and the reclosing travelling wave in permanent fault occurrence, the closing travelling wave and the reclosing travelling wave are processed according to the first wave head time
Figure BDA0001209581660000066
And
Figure BDA0001209581660000067
and aligning, wherein the selection of the size of the time window is determined by the time for the traveling wave to propagate from the bus to the longest end of the fault line and then return, so that the interference of a subsequent irrelevant wave head is avoided, and the size of the time window is determined according to the following formula:
Figure BDA0001209581660000068
wherein lmaxIs the maximum length of the fault line and v is the traveling wave speed.
In any of the above technical solutions, preferably, the switching-on traveling wave and the reclosing traveling wave are subjected to wavelet transformation by the following formulas:
Figure BDA0001209581660000071
wherein f (n) represents the traveling closing wave or the traveling reclosing wave,
Figure BDA0001209581660000072
representing the approximation component of the j-th scale,
Figure BDA0001209581660000073
for the wavelet component of the j-th scale, h (k1 and g (k2 both represent filter parameters; and the modulus maximum is calculated by the following formula:
Figure BDA0001209581660000074
wherein the content of the first and second substances,
Figure BDA0001209581660000075
the modulus maxima of the wavelet transform at the j-th scale,
Figure BDA0001209581660000076
the wavelet component of the j-th scale representing the kth point data in the current layer.
In the technical scheme, wavelet transformation is carried out through the formula, so that the error of positioning the fault point in the distribution line can be reduced, and the accuracy of fault point distance measurement is ensured.
According to the scheme, a derivative function of a cubic center B spline function commonly used in transient fault traveling wave analysis is selected as a wavelet function, and a corresponding Mallat algorithm of wavelet transformation is realized through the formula.
Because the low-scale wavelet modulus maximum is easily affected by high-frequency noise, and the frequency band corresponding to the high-scale wavelet modulus maximum is lower, the high-frequency characteristic of the transient traveling wave cannot be embodied, the scheme selects the scale j to be 2 for processing. Of course, other dimensions (for example, j is 1, 3, and 4) may be selected for processing in this embodiment.
In any of the above technical solutions, preferably, step 108 specifically includes: the distance of the fault point of the distribution line is calculated according to the following formula,
Figure BDA0001209581660000077
where X denotes a fault point distance of the distribution line, t3 denotes a time of the fault point reflected wave, t2 denotes the reclosing time, and V denotes a traveling wave velocity.
Although the distribution line does not perform cross transposition, when a high-frequency transient signal is analyzed, the matrix of a decoupling balanced line can be used for decoupling, such as a Kerenbel phase-mode transformation matrix, and the traditional modulus concept can be continuously used for analyzing the transient traveling wave.
In order to verify the correctness of the technical scheme of the invention and evaluate the ranging precision, ATP-EMTP is adopted to carry out a large amount of simulation research. The following describes the simulation of the present solution in detail.
The simulation system adopts a 10kV typical radial distribution network model shown in FIG. 2, the buses have 8 outgoing lines in total, and the types and the lengths of the lines are shown in Table 1.
TABLE 1
Line label Line model Line length (km)
L1 LGJ-120/20 21.16
L2 LGJ-120/20 26.37
L3 LGJ-95/15 2.44
L4 LGJ-95/15 17.95
L5 LGJ-70/10 5.43
L6 LGJ-70/10 7.95
L7 LGJ-120/20 8.80
L8 LGJ-120/20 14.06
The feeder line L1 is used as a simulation ranging line, and the line has 3 branches, the branch line type is the same as the trunk line, and the branch position is shown in fig. 3.
The line adopts a Jmarti model capable of accurately depicting frequency-dependent characteristics, and a tower structure is shown in fig. 4, wherein the maximum sag is 2 meters, the ground resistivity is 100 omega/km, B, C two-phase lines of a three-phase circuit in the tower structure are 9 meters away from the ground, the distance between B, C two-phase lines is 2.9 meters, the A-phase line is 11.5 meters away from the bottom surface, and the A-phase line is positioned at one side of the B, C two-phase line center line, which is close to the C-phase line, 1.1 meter away from the C-phase line.
A neutral point ungrounded mode is adopted, a normal reclosing quantity is recorded in a closing mode before a permanent fault occurs to a line, then a B, C two-phase line short circuit is considered to occur at a position 8km above a main line L1, the closing angle ensures that the amplitude of a phase B is large, and a time window is calculated to be 0.189ms according to the maximum length of a main line L1. The waveforms obtained after aligning the switching-on traveling wave of the phase-B voltage during normal operation and the switching-on traveling wave when a permanent fault occurs, and the waveforms after wavelet modulus maximum and normalization are shown in fig. 5, wherein the dotted line is circled to be the head wave of the traveling wave, in the graph of the original waveform, the upper curve is the switching-on traveling wave during normal operation, and the lower curve is the switching-on traveling wave when a permanent fault occurs. Fig. 6 shows normalized waveforms of the normal operation closing traveling wave, the permanent fault reclosing traveling wave, and the fault superimposed traveling wave, where an upper curve in the figure is a waveform superimposed on the fault superimposed traveling wave, a middle curve is a waveform of the permanent fault reclosing traveling wave, and a lower curve is a waveform of the normal operation closing traveling wave. Fig. 7 shows that before the wave head of the reflected wave is superposed at the fault point of the fault superimposed traveling wave, other wave heads exist in the switching-on traveling wave during normal operation and the switching-on traveling wave when a permanent fault occurs, which is caused by other branch nodes or other shorter feeder terminal nodes before the fault point.
And calculating by using a wavelet transformation modulus maximum to obtain the arrival time of a reflected wave of a fault point superposed with the fault superposition traveling wave, and calculating to obtain the fault distance of 8.223km by combining the reclosing time.
The 10kV typical radial distribution network model shown in fig. 2 is subjected to simulation of different fault types at different positions, and the simulation results are shown in table 2.
TABLE 2
Figure BDA0001209581660000091
The simulation result in table 2 shows the effectiveness of the distance measurement method proposed by the scheme, and the distance measurement error in the simulation process does not exceed 1 km.
The interference of the mixed line node on the transient traveling wave can be eliminated by utilizing the superposition of the fault superposition traveling wave, and the cable can be converted into an overhead line according to the wave velocity by adopting the idea of wave velocity normalization aiming at the problem of inconsistent wave velocity in the mixed line. Assuming that the wave velocity of the traveling wave in the overhead line is v, the wave velocity of the traveling wave in the cable is u, and the length of the cable with the length of L is Lv/u converted to the overhead line according to the wave velocity, so that the mixed line is equivalent to a uniform line, and the uniform line is converted back to the mixed line after distance measurement.
Suppose that 4.12km of a trunk section in a feeder line L1 is an underground single-core cable in an urban area, the wave speed of a cable neutral mode traveling wave is 122.17m/us, and the wave speed of an overhead line neutral mode traveling wave is 299.02m/us, so that the cable can be converted into an overhead line of 10.08 km. If a B, C two-phase line short circuit permanent fault occurs at 3km of the trunk three-section of the feeder line trunk line L1, the distance measurement result is 18.84km, the distance measurement result converted back to the hybrid line is 12.88km, and the error is 0.28km, so that the fault position can be effectively positioned.
The technical scheme of the invention is described in detail in the above with reference to the attached drawings, and through the technical scheme provided by the invention, the reflected wave of the fault point is detected by utilizing the superposed traveling wave of the fault to calculate the distance of the fault point, so as to position the position of the permanent fault point, without additionally installing injection equipment, without being influenced by the grounding form of a neutral point, so that the method is suitable for a power distribution system with single-end measurement conditions, can be used for ranging particularly under the condition that a feeder line has a multi-branch line or a mixed line, is widely applied, and can avoid overhigh investment cost for detecting the fault.
In the present invention, the terms "first", "second" are used for descriptive purposes only and are not to be construed as indicating or implying relative importance; the term "plurality" means two or more. The specific meanings of the above terms in the present invention can be understood by those skilled in the art according to specific situations.
The above description is only a preferred embodiment of the present invention and is not intended to limit the present invention, and various modifications and changes may be made by those skilled in the art. Any modification, equivalent replacement, or improvement made within the spirit and principle of the present invention should be included in the protection scope of the present invention.

Claims (4)

1. A fault location method for a distribution line is characterized by comprising the following steps:
102, if the distribution line is normal, acquiring and recording a closing traveling wave generated by the breaker from a closing moment when the breaker is closed;
104, if the distribution line has a permanent fault, acquiring and recording a reclosing traveling wave generated by the breaker from the reclosing moment when the breaker is tripped and then reclosed;
106, determining to be superposed on the fault superposition traveling wave according to the switching-on traveling wave and the reclosing traveling wave;
step 108, calculating the fault point distance of the distribution line according to the fault point reflected wave superposed in the fault superposition traveling wave and the reclosing time;
step 106 specifically includes:
respectively carrying out normalization processing on the switching-on traveling wave and the reclosing traveling wave;
calculating the normalized switching-on traveling wave and the normalized reclosing traveling wave through the following formula to determine that the switching-on traveling wave is superposed on the fault superposition traveling wave,
Figure FDA0002236689940000011
wherein the content of the first and second substances,
Figure FDA0002236689940000012
indicating that the coincidence is superimposed on the fault traveling wave,
Figure FDA0002236689940000013
representing the normalized reclosing travelling wave,
Figure FDA0002236689940000014
and representing the normalized switching-on traveling wave.
2. The method for fault location of a distribution line according to claim 1, wherein the normalizing the closing traveling wave and the reclosing traveling wave respectively comprises:
performing wavelet transformation on the switching-on traveling wave and the reclosing traveling wave respectively to determine a first modulus maximum of the switching-on traveling wave and a first modulus maximum of the reclosing traveling wave;
respectively carrying out normalization processing on the switching-on traveling wave and the reclosing traveling wave according to the following formula,
Figure FDA0002236689940000015
wherein, YnRepresents said switching-on travelling wave, MnRepresents the first mode maximum, Y, of the switching-on traveling wavefRepresenting said reclosing travelling wave, MfAnd the maximum value of the first mode of the reclosing travelling wave is shown.
3. The method of claim 2, wherein the switching-on traveling wave and the switching-off traveling wave are wavelet-transformed by the following formulas:
Figure FDA0002236689940000021
wherein f (n) represents the traveling closing wave or the traveling reclosing wave,
Figure FDA0002236689940000022
representing the approximation component of the j-th scale,
Figure FDA0002236689940000023
h (k1) and g (k2) both represent filter parameters for the wavelet component of the j-th scale; and
calculating a modulus maximum by the following formula:
Figure FDA0002236689940000024
wherein the content of the first and second substances,
Figure FDA0002236689940000025
the modulus maxima of the wavelet transform at the j-th scale,
Figure FDA0002236689940000026
the wavelet component of the j-th scale representing the kth point data in the current layer.
4. The method for fault location of distribution lines according to any of claims 1-3, wherein step 108 comprises:
the distance of the fault point of the distribution line is calculated according to the following formula,
Figure FDA0002236689940000027
where X denotes a fault point distance of the distribution line, t3 denotes a time of the fault point reflected wave, t2 denotes the reclosing time, and V denotes a traveling wave velocity.
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