CN113311294A - Branch line short circuit fault positioning method based on time domain inversion - Google Patents

Branch line short circuit fault positioning method based on time domain inversion Download PDF

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CN113311294A
CN113311294A CN202110860798.7A CN202110860798A CN113311294A CN 113311294 A CN113311294 A CN 113311294A CN 202110860798 A CN202110860798 A CN 202110860798A CN 113311294 A CN113311294 A CN 113311294A
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CN113311294B (en
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庄池杰
王冠博
曾嵘
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Tsinghua University
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    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
    • G01R31/08—Locating faults in cables, transmission lines, or networks
    • G01R31/081—Locating faults in cables, transmission lines, or networks according to type of conductors
    • G01R31/085—Locating faults in cables, transmission lines, or networks according to type of conductors in power transmission or distribution lines, e.g. overhead
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
    • G01R31/08—Locating faults in cables, transmission lines, or networks
    • G01R31/088—Aspects of digital computing
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
    • G01R31/50—Testing of electric apparatus, lines, cables or components for short-circuits, continuity, leakage current or incorrect line connections
    • G01R31/52—Testing for short-circuits, leakage current or ground faults

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Abstract

The invention provides a time domain inversion-based branch line short-circuit fault positioning method, which comprises the following steps of: selecting an end point of the circuit network, measuring transient signals generated by the faultf(t)(ii) a For the transient signalf(t)Injecting the signal into the circuit network after performing time domain inversion operation; splitting a line with branches in the circuit network into one-dimensional lines, arranging a short-circuit branch along each one-dimensional line as a guessed fault point, wherein the short-circuit current energy is a function taking the fault position of the guessed fault point as a variable; and solving the optimization problem of the maximum value of the short-circuit current energy so as to locate the fault point. The fault positioning method provided by the invention is suitable for any complex network with branches, the position of the short circuit branch does not need to be exhausted in the positioning process, the physical background is clear, the calculation speed is higher, and the precision is higher.

Description

Branch line short circuit fault positioning method based on time domain inversion
Technical Field
The invention belongs to the field of electric power, and particularly relates to a branch line short-circuit fault positioning method based on time domain inversion.
Background
The bare conductor of the existing overhead transmission line is exposed in the air for a long time, and when the bare conductor meets severe weather environments such as low temperature, rain, snow and the like, the conditions of ice coating or lightning stroke, insulator wet flash, pollution flash and the like of the transmission line can occur to cause line faults. To ensure the safe operation of the transmission line, the position of the line fault is quickly positioned, so that the power failure time is shortened as much as possible, and the influence and loss caused by the fault are avoided from further expansion.
The common short-circuit fault locating methods for the power transmission line at present mainly include an impedance method, a traveling wave method, an artificial intelligence algorithm, an electromagnetic time domain inversion (EMTR) method and the like. The implementation of the impedance method for fault point positioning highly depends on the accurate measurement of normal working conditions such as line impedance, line load, power supply parameters and the like, and is not suitable for the conditions such as high-resistance grounding, line breaking faults, multi-power supply lines and the like. The positioning accuracy of the traveling wave method is greatly influenced by the detection accuracy of the traveling wave signal, and for a power distribution network, besides the characteristics of large scale and complex branches, a mixed line with variable wave impedance and wave speed exists, so that the refraction and reflection conditions of the traveling wave at different end points are very complex, and the accurate acquisition of the wave signal cannot be ensured. The realization of the artificial intelligence method needs a large amount of data as a support to train the model, and is still in the starting stage at present, and related practical applications are yet to be developed. The EMTR fault location method is being more and more widely applied because of its advantages of clear physical significance, good noise immunity, high location accuracy, etc.
Time domain inversion operations refer to changing the time flow direction, i.e., running backwards in time rather than forwards. The time sign is changed on the mathematical expression:
Figure 40718DEST_PATH_IMAGE001
the EMTR fault positioning method is divided into two sections: for the forward process, electromagnetic transient signals generated by faults are collected at two ends of a transmission line; for the reverse process, short-circuit branches are arranged at different positions of the transmission line and used as guess fault points, current sources obtained after time domain inversion electromagnetic transient signals are subjected to Nuton equivalent are re-injected to the two ends of the transmission line, due to the time-space focusing property of the time domain inversion, reverse signal energy can be gathered at a signal source in the forward process, and therefore only the energy of short-circuit current in the short-circuit branches needs to be calculated, and the position with the largest energy is the real fault position. The current research process needs to exhaustively set different short-circuit branches along a transmission line and perform multiple times of simulation when calculating the energy of short-circuit current, and particularly has huge calculation amount and larger positioning speed promotion space when aiming at a power distribution network with a complex structure and more branches.
Disclosure of Invention
Aiming at the problems, the invention provides a branch line short-circuit fault positioning method based on time domain inversion, which improves the calculation efficiency of a classical EMTR fault positioning method and the applicability to lines with more branch structures.
The invention discloses a time domain inversion-based branch line short-circuit fault positioning method, which comprises the following steps of:
selecting an end point of the circuit network, measuring transient signals generated by the fault
Figure 100002_DEST_PATH_IMAGE002
；
For the transient signal
Figure 800863DEST_PATH_IMAGE002
Injecting the signal into the circuit network after performing time domain inversion operation;
splitting a branched line in the circuit network into one-dimensional lines;
setting a short-circuit branch along each one-dimensional line as a guessed fault point;
and solving an optimization problem of the maximum value of the short-circuit current energy, and positioning the fault point, wherein the short-circuit current energy is a function taking the fault position of the guessed fault point as a variable.
Further, in the present invention,
the transient signal
Figure 333476DEST_PATH_IMAGE002
Is a transient voltage signal or a transient current signal.
Further, in the present invention,
the time domain inversion operation is
Figure 63534DEST_PATH_IMAGE003
Wherein, in the step (A),Tis the transient signal
Figure 138938DEST_PATH_IMAGE002
The duration of (c).
Further, in the present invention,
at the end point, injecting the transient signal after the time domain inversion operation into the circuit network.
Further, in the present invention,
splitting a branched line in the circuit network into one-dimensional lines comprises:
calculating the number k of odd-degree points in a connected graph formed by a circuit network, wherein k is a positive even number;
step AA, comprising:
step BB: sending a search from any odd-degree point in the connected graph along any edge in the connected graph, deleting the passing edge from the connected graph after reaching the next odd-degree point,
repeating the step BB, stopping when searching out an odd-degree point which does not connect any side except the just deleted side, determining a path which connects all the deleted sides as the obtained first one-dimensional line,
when k is greater than 2, repeating (k/2-2) times the step AA, determining a path formed by all deleted edges when the step AA is repeated each time as one-dimensional line until only two odd-degree points are left in the connected graph, and then performing the step CC: determining the one-dimensional route for the rest part in the connected graph, if all edges are not traversed, backtracking to the last encountered bifurcation node, and determining the one-dimensional route again,
and repeating the step CC until the rest part in the connected graph is completely moved once without omission to obtain the last one-dimensional line, thereby obtaining k/2 one-dimensional lines.
Further, in the present invention,
the short-circuit current energy satisfies the following functions by taking the fault position of the guess fault point as a variable:
respectively arranging different short-circuit branches on k/2 one-dimensional lines, and taking the positions of the different short-circuit branches as guessed fault point positions
Figure 100002_DEST_PATH_IMAGE004
And the short-circuit current energy value on each one-dimensional line obtained by simulation calculation is as follows:
Figure 804405DEST_PATH_IMAGE005
wherein the content of the first and second substances,T1 is the total duration of the short circuit current signal,
Figure 100002_DEST_PATH_IMAGE006
is a simulationjThe current energy value of the step(s),
Figure 100002_DEST_PATH_IMAGE007
is the step size of the simulation,nin order to simulate the number of steps,ithe number of the one-dimensional line.
Further, in the present invention,
the optimization problem for solving the maximum value of the short-circuit current energy comprises the following steps:
solving the maximum value of the short-circuit current energy value on each one-dimensional line by adopting an optimization algorithm:
Figure 27576DEST_PATH_IMAGE008
wherein the content of the first and second substances,
Figure 100002_DEST_PATH_IMAGE009
is as followsiOn a one-dimensional line
Figure 702271DEST_PATH_IMAGE010
The maximum value of the number of the first and second,
Figure 100002_DEST_PATH_IMAGE011
is the firstiThe total length of the one-dimensional lines, max (x), is the maximum value for x.
Further, in the present invention,
the optimization algorithm is an intelligent algorithm.
Further, in the present invention,
the intelligent algorithm is a simulated annealing algorithm.
Further, in the present invention,
all of
Figure 428919DEST_PATH_IMAGE009
Guessed fault point position corresponding to maximum value in
Figure DEST_PATH_IMAGE012
Namely the position of the real fault point.
The branch line short-circuit fault locating method based on time domain inversion improves the reverse process of the EMTR fault locating method, is different from an exhaustion method for setting a short-circuit branch circuit by a classical EMTR fault locating method, takes the position of the short-circuit branch circuit as an independent variable, and solves the global maximum value of short-circuit current energy. The invention provides a simplest splitting processing mode for a line with branches, so that the complex branch line is converted into a plurality of one-dimensional lines and solved by using an intelligent optimization algorithm respectively. The fault positioning method provided by the invention is suitable for any complex network with branches, the short circuit branch position is not required to be exhausted in the positioning process, the physical background is clear, the calculation speed is higher, and the precision is higher, so that the calculation efficiency of the classical EMTR fault positioning method is improved, and the applicability to the line with more branch structures is improved.
Additional features and advantages of the invention will be set forth in the description which follows, and in part will be obvious from the description, or may be learned by practice of the invention. The objectives and other advantages of the invention will be realized and attained by the structure particularly pointed out in the written description and claims hereof as well as the appended drawings.
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In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly introduced below, and it is obvious that the drawings in the following description are some embodiments of the present invention, and for those skilled in the art, other drawings can be obtained according to these drawings without creative efforts.
Fig. 1 shows a schematic diagram of a branch line short-circuit fault location method based on time domain inversion according to an embodiment of the present invention;
fig. 2 is a schematic diagram of a power distribution network structure implementing the time domain inversion-based branch line short-circuit fault location method according to the embodiment of the present invention;
FIG. 3 is a schematic diagram illustrating a node 1 voltage transient waveform in the power distribution network configuration of FIG. 2 according to an embodiment of the present invention;
FIG. 4 is a graph showing a comparison of the iteration number of the 3 computations of the solution optimization problem according to an embodiment of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the embodiments of the present invention clearer, the technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are some, but not all, embodiments of the present invention. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
Fig. 1 is a schematic diagram of a time domain inversion-based branch line short-circuit fault locating method of the present invention. Referring to fig. 1, in the method for locating a short-circuit fault of a branch line based on time domain inversion of the present invention, first, a transient signal such as a transient voltage signal or a transient current signal generated by the fault is measured at a line endpoint to be measured of a circuit network (such as a power distribution network). And then, after time domain inversion operation is carried out on the transient signal, the transient signal is used as a signal source such as a voltage source to be injected into the original circuit network at the end point. And then, for the network topology of the circuit network to be subjected to fault location, splitting the complex line in the complex network into a plurality of one-dimensional lines with the simplest structure. Then, short-circuit branches (namely guessed short-circuit branches) are respectively arranged on the one-dimensional lines to be used as guessed fault points, short-circuit current energy is a function of the positions of the guessed fault points, and then an optimization problem of the maximum value of the short-circuit current energy is solved, wherein the solving process is as follows: and solving the maximum value of the short-circuit current energy by using an intelligent optimization algorithm, wherein the position of the guessed short-circuit branch corresponding to the maximum value of all the maximum values of the short-circuit current energy is the position of the real fault point.
Specifically, the time domain inversion-based branch line short-circuit fault positioning method comprises the following steps:
step A, when a line to be measured in a circuit network has a fault, a transient voltage signal or a transient current signal is measured and obtained at a line end point
Figure 530867DEST_PATH_IMAGE002
The transient voltage signal or the transient current signal
Figure 179017DEST_PATH_IMAGE002
Performing time domain inversion operation as shown in formula (1), re-injecting into the original circuit network, performing electromagnetic transient calculation,trepresenting time.
Figure 985299DEST_PATH_IMAGE003
（1），
In formula (1), T is the duration of the signal.
And step B, calculating the number k of points (hereinafter referred to as odd degree points) with odd number of connecting edges in a connected graph formed by the circuit network, wherein the k is a positive even number. And (3) searching along any edge in the graph from any odd-degree point in the connected graph, deleting the passed edge from the graph after reaching the next odd-degree point, repeating the searching-deleting process, and stopping when searching odd-degree points which do not connect any edge except the just deleted edge. And taking the path formed by connecting all the edges deleted in the process as the obtained first one-dimensional line. And when k is greater than 2, repeating the process (k/2-2) times, wherein each deleted road is determined to be a one-dimensional line (namely, the one-dimensional line is determined), and the process can be skipped to step B, and the following steps C to E are performed until only two odd-degree points are left in the graph (when k is less than or equal to 2, the one-dimensional line can be directly drawn. And at the moment, the determination process of the one-dimensional route is carried out on the rest part in the graph, if all edges are not traversed, the back tracing is carried out to the last encountered bifurcation node until the rest part in the connected graph is not missed all at once, and the last one-dimensional route is obtained through the one-dimensional route determination-back tracing process. The branch node refers to a point where more than 1 edge is connected.
Step C, respectively setting different short circuit branches on the k/2 one-dimensional circuits obtained in the step B as guessed fault point positions
Figure 894349DEST_PATH_IMAGE004
And simulating and calculating the short-circuit current energy value on each one-dimensional line:
Figure 901620DEST_PATH_IMAGE013
（2），
whereinT1 is the total duration of the short circuit current signal,
Figure 37066DEST_PATH_IMAGE006
is a simulationjThe current energy value of the step(s),
Figure 647039DEST_PATH_IMAGE007
is the step size of the simulation,nfor the simulation of the number of steps (positive integer),ithe number of the one-dimensional line.
And D, optimally solving the maximum value of the short-circuit current energy value on each one-dimensional line, namely solving the following optimization problem by using an optimization algorithm:
Figure DEST_PATH_IMAGE014
（3），
wherein the content of the first and second substances,
Figure 817120DEST_PATH_IMAGE009
is as followsiOn a one-dimensional line
Figure 932975DEST_PATH_IMAGE010
The maximum value of the number of the first and second,
Figure 290138DEST_PATH_IMAGE011
is the firstiThe total length of the one-dimensional lines, max (x), is the maximum value for x. The optimization algorithm may be an intelligent algorithm, such as simulated annealing.
Step E, all
Figure 703802DEST_PATH_IMAGE009
The position where the short-circuit branch is arranged corresponding to the maximum value of
Figure 462810DEST_PATH_IMAGE012
Namely the position of the real fault point.
Figure 670938DEST_PATH_IMAGE015
（4），
Wherein arg represents the maximum
Figure 527116DEST_PATH_IMAGE009
Of the hour
Figure 744470DEST_PATH_IMAGE004
。
The method for locating a short-circuit fault of a branch line based on time domain inversion of the present invention is described below by taking the power distribution network structure shown in fig. 2 as an example. In fig. 2, the distribution network has 11 nodes: node 1 to node 11, the distances of the nodes are shown in fig. 2, for example, the distance between node 1 and node 2 is 2.4km, the distance between node 2 and node 6 is 2.4km, …, and the distance between node 9 and node 11 is 2.5 km. Node 1, node 5, node 6, node 7, node 8, node 10 and node 11 are power transformers. 10kV power frequency voltage is applied to the node 1, and each power transformer is equivalent to large impedance of 100k omega. The capacitance, inductance and resistance of the line per unit length are C =10.54×10-12 F/m、L=1.6×10-6 H/m、R=3.62×10-5Omega/m. The method for positioning the short-circuit fault of the branch line based on the time domain inversion is implemented on the power distribution network shown in FIG. 2, and comprises the following steps:
step 1, when a short-circuit fault occurs at the midpoint of a node 4 and a node 9 of a line to be tested, and the short-circuit impedance is 1 Ω, a voltage transient signal obtained at the node 1 is as shown in fig. 3, and according to the wave process theory, the voltage transient signal is an oscillating waveform formed by continuous reflection and superposition of a voltage waveform between an end point and a short-circuit point according to the line topology. As can be seen from FIG. 3, the total duration of the short-circuit current signal is 10ms, and the amplitude of the voltage transient signal at the node 1 is + -1.5 kV.
And 2, performing time domain inversion operation on the voltage transient signal shown in the figure 3, replacing a voltage source at the original node 1, and inputting voltage to the original network.
Step 3, analyzing the original network topology, and knowing that the nodes 1, 2, 3, 5, 6, 7, 8, 9, 10, and 11 in fig. 2 are odd-degree points, 10 odd-degree points are totally included in fig. 2, so that the line connection diagram in fig. 2 can be drawn by at least 10/2=5 lines, that is, the original network is split into at least 5 one-dimensional lines for solving.
Step 4, sending from the first odd-degree point in the graph, namely the node 1, and stopping after 1-2-3-4-5, wherein the road is used as a first one-dimensional line: a first one-dimensional line.
And 5, repeating the operation in the step 4 for 3 times to respectively obtain three other different roads, namely 2-6, 3-7 and 8-4-9-10, and taking the three roads as three other one-dimensional lines: a second one-dimensional line, a third one-dimensional line and a fourth one-dimensional line, leaving only two odd degree points in the graph at node 9 and node 11.
And 6, taking 9-11 as a fifth road: the fifth one-dimensional route, which has traversed all the routes in fig. 2 at this time, has been split into the simplest 5 one-dimensional routes, namely, the first one-dimensional route 1-2-3-4-5, the second one-dimensional route 2-6, the third one-dimensional route 3-7, the fourth one-dimensional route 8-4-9-10, and the fifth one-dimensional route 9-11.
And 7, respectively setting short-circuit branches as guess fault points on the 5 lines, setting short-circuit impedance to be 20 omega, and calculating current energy on each short-circuit branch.
Step 8, representing the short-circuit current energy on 5 one-dimensional lines as a set guess short-circuit branch position
Figure 623565DEST_PATH_IMAGE004
As a function of (c).
Step 9, solving the maximum value of the short-circuit current energy on the five one-dimensional lines by using a simulated annealing method, setting the calculation precision to 10m and calculating 3 times for each line, wherein the maximum values appear at the positions x =7060m, 1560m, 590m, 3000m and 10m respectively, the calculation results are 0.4932(kA), 0.007105(kA), 0.03812(kA), 0.7854(kA) and 0.09374(kA) respectively, and the calculation results and the iteration times are shown in table 1 and fig. 4 respectively. In fig. 4, a is the first calculation iteration number, B is the second iteration number, and C is the third iteration number. The position of the short-circuit branch corresponding to the maximum value of the five maximum values of the global optimal solution in table 1 is the real fault point. It can be seen that the maximum value of the short-circuit current energy appears at 3km of the one-dimensional line 4, i.e. a real fault point is located. In fig. 4, 3 times of iterative computations of 5 lines require 148 times of iterative computations each time, which is much less than 2010 times required by the exhaustive method to reach the precision of 10m, thereby greatly accelerating the computation speed.
Table 1 results of solving maximum value of short-circuit current energy on five one-dimensional lines using simulated annealing method
Figure DEST_PATH_IMAGE016
The invention discloses a time domain inversion-based branch line short-circuit fault positioning method, which comprises the following steps of:
1. the reverse process of the EMTR fault location method is improved. Different from an exhaustion method for setting a short-circuit branch by a classical EMTR fault positioning method, the method uses an intelligent optimization algorithm, takes the short-circuit branch as an independent variable, and solves the global maximum value of short-circuit current energy.
2. A simplest splitting processing mode is provided for the line with the branch, so that the branch line is converted into a plurality of one-dimensional lines and is solved by using an intelligent optimization algorithm respectively.
The method for positioning the short-circuit fault of the branch line based on time domain inversion is suitable for any complex network with branches, the short-circuit branch position is not required to be exhausted in the positioning process, the physical background is clear, the calculation speed is higher, and the precision is higher, so that the calculation efficiency of the classical EMTR fault positioning method is improved, and the applicability to the line with more branch structures is improved.
Although the present invention has been described in detail with reference to the foregoing embodiments, it will be understood by those of ordinary skill in the art that: the technical solutions described in the foregoing embodiments may still be modified, or some technical features may be equivalently replaced; and such modifications or substitutions do not depart from the spirit and scope of the corresponding technical solutions of the embodiments of the present invention.

Claims (10)

1. The method for positioning the short-circuit fault of the branch line based on time domain inversion is characterized by comprising the following steps of:
selecting an end point of the circuit network, measuring transient signals generated by the fault
Figure DEST_PATH_IMAGE001
；
For the transient signal
Figure 886807DEST_PATH_IMAGE001
Injecting the signal into the circuit network after performing time domain inversion operation;
splitting a branched line in the circuit network into one-dimensional lines;
setting a short-circuit branch along each one-dimensional line as a guessed fault point;
and solving an optimization problem of the maximum value of the short-circuit current energy, and positioning the fault point, wherein the short-circuit current energy is a function taking the fault position of the guessed fault point as a variable.
2. The method for locating the short-circuit fault of the branch line based on the time domain inversion according to claim 1,
the transient signal
Figure 944893DEST_PATH_IMAGE001
Is a transient voltage signal or a transient current signal.
3. The method for locating the short-circuit fault of the branch line based on the time domain inversion according to claim 2,
the time domain inversion operation is
Figure DEST_PATH_IMAGE002
Wherein, in the step (A),Tis the transient signal
Figure 662313DEST_PATH_IMAGE001
The duration of (c).
4. The time domain inversion-based branch line short-circuit fault location method according to claim 3,
at the end point, injecting the transient signal after the time domain inversion operation into the circuit network.
5. The time domain inversion-based branch line short-circuit fault location method according to claim 4,
splitting a branched line in the circuit network into one-dimensional lines comprises:
calculating the number k of odd-degree points in a connected graph formed by a circuit network, wherein k is a positive even number;
step AA, comprising:
step BB: sending a search from any odd-degree point in the connected graph along any edge in the connected graph, deleting the passing edge from the connected graph after reaching the next odd-degree point,
repeating the step BB, stopping when searching out an odd-degree point which does not connect any side except the just deleted side, determining a path which connects all the deleted sides as the obtained first one-dimensional line,
when k is greater than 2, repeating (k/2-2) times the step AA, determining a path formed by all deleted edges when the step AA is repeated each time as one-dimensional line until only two odd-degree points are left in the connected graph, and then performing the step CC: determining the one-dimensional route for the rest part in the connected graph, if all edges are not traversed, backtracking to the last encountered bifurcation node, and determining the one-dimensional route again,
and repeating the step CC until the rest part in the connected graph is completely moved once without omission to obtain the last one-dimensional line, thereby obtaining k/2 one-dimensional lines.
6. The time domain inversion-based branch line short-circuit fault location method according to claim 5,
the short-circuit current energy satisfies the following functions by taking the fault position of the guess fault point as a variable:
respectively arranging different short-circuit branches on k/2 one-dimensional lines, and taking the positions of the different short-circuit branches as guessed fault point positions
Figure DEST_PATH_IMAGE003
And the short-circuit current energy value on each one-dimensional line obtained by simulation calculation is as follows:
Figure DEST_PATH_IMAGE004
wherein the content of the first and second substances,T1 is the total duration of the short circuit current signal,
Figure DEST_PATH_IMAGE005
to imitateWhen it is truejThe current energy value of the step(s),
Figure DEST_PATH_IMAGE006
is the step size of the simulation,nin order to simulate the number of steps,ithe number of the one-dimensional line.
7. The time domain inversion-based branch line short-circuit fault location method according to claim 5,
the optimization problem for solving the maximum value of the short-circuit current energy comprises the following steps:
solving the maximum value of the short-circuit current energy value on each one-dimensional line by adopting an optimization algorithm:
Figure DEST_PATH_IMAGE007
wherein the content of the first and second substances,
Figure DEST_PATH_IMAGE008
is as followsiOn a one-dimensional line
Figure DEST_PATH_IMAGE009
The maximum value of the number of the first and second,
Figure DEST_PATH_IMAGE010
is the firstiThe total length of the one-dimensional lines, max (x), is the maximum value for x.
8. The time domain inversion-based branch line short-circuit fault location method according to claim 7,
the optimization algorithm is an intelligent algorithm.
9. The time domain inversion-based branch line short-circuit fault location method of claim 8,
the intelligent algorithm is a simulated annealing algorithm.
10. The method for locating a short-circuit fault of a branch line based on time domain inversion according to any one of claims 7 to 9,
all of
Figure 73834DEST_PATH_IMAGE008
Guessed fault point position corresponding to maximum value in
Figure DEST_PATH_IMAGE011
Namely the position of the real fault point.
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