CN115308524A - Distribution line traveling wave positioning method based on zero mode and line mode traveling wave fusion - Google Patents

Distribution line traveling wave positioning method based on zero mode and line mode traveling wave fusion Download PDF

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Publication number
CN115308524A
CN115308524A CN202210847385.XA CN202210847385A CN115308524A CN 115308524 A CN115308524 A CN 115308524A CN 202210847385 A CN202210847385 A CN 202210847385A CN 115308524 A CN115308524 A CN 115308524A
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line
fault
traveling wave
node
distribution line
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雷杨
杨帆
沈煜
杨志淳
谢琉欣
胡伟
宿磊
唐金锐
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Hubei Fangyuan Dongli Electric Power Science Research Co ltd
Electric Power Research Institute of State Grid Hubei Electric Power Co Ltd
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Hubei Fangyuan Dongli Electric Power Science Research Co ltd
Electric Power Research Institute of State Grid Hubei Electric Power Co Ltd
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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
    • G01R31/086—Locating faults in cables, transmission lines, or networks according to type of conductors in power transmission or distribution networks, i.e. with interconnected conductors
    • 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
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y04—INFORMATION OR COMMUNICATION TECHNOLOGIES HAVING AN IMPACT ON OTHER TECHNOLOGY AREAS
    • Y04S—SYSTEMS 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
    • Y04S10/00—Systems supporting electrical power generation, transmission or distribution
    • Y04S10/50—Systems or methods supporting the power network operation or management, involving a certain degree of interaction with the load-side end user applications
    • Y04S10/52—Outage or fault management, e.g. fault detection or location

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Abstract

The invention provides a distribution line traveling wave positioning method based on zero mode and line mode traveling wave fusion, which comprises the steps of firstly constructing a distribution line description equation facing fault positioning; then, acquiring time t1 when zero-mode traveling waves generated by faults reach the initial end node of the distribution line and time t2 when the zero-mode traveling waves reach the tail end node, and acquiring time t3 when line-mode traveling waves generated by the faults reach the initial end node of the distribution line and time t4 when the line-mode traveling waves generated by the faults reach the tail end node; thirdly, determining a fault section according to t1, t2, t3 and t4; and finally, finally determining the fault position according to the determined fault occurrence section, the time difference t1-t3 and the time difference t2-t 4. The invention can realize fault positioning by only using two traveling wave sensors at the starting end node and the tail end node of the distribution line, thereby avoiding the influence of the branch line on the accuracy of the traveling wave positioning of the distribution line and also avoiding the installation of the traveling wave sensors at the tail end of the branch line.

Description

Distribution line traveling wave positioning method based on zero mode and line mode traveling wave fusion
Technical Field
The invention relates to the technical field of power distribution network relay protection, in particular to a distribution line traveling wave positioning method based on zero mode and line mode traveling wave fusion.
Background
At present, the permeability of distributed renewable energy sources is continuously improved, electric vehicles are widely accessed, time-varying loads are rapidly developed, and a power distribution network presents complex source network load storage coordination operation characteristics. Under the background, once a power distribution network under a multi-branch complex topological structure has a fault, the distribution characteristics of the traditional power frequency voltage and power frequency current components are extremely complex and changeable, and operation and maintenance personnel can hardly judge the fault occurrence position in time, so that the field operation and maintenance personnel are affected to develop fault elimination and power supply recovery processes, and the power supply reliability level is reduced.
The traveling wave fault positioning method realizes fault positioning by means of time difference of a high-frequency transient traveling wave head generated by a fault reaching a traveling wave sensor, and is widely applied to a high-voltage power transmission network at present. Because alternating current lines between two substations of the high-voltage transmission network rarely have branch lines and new energy equipment is rarely connected into the lines, the fault location can be quickly realized through the difference of arrival time of traveling waves recorded by traveling wave sensors arranged in the substations at two ends of the alternating current lines. However, the distribution line has many branches and a complex topology structure, and the traveling wave sensors are arranged at the initial section and the tail end of the distribution line, so that the deduced fault positioning result is not unique, and the deduced fault may occur on a main line or a branch line. If the traveling wave sensors are arranged at the initial section, the tail end, the branch point and the tail end of the branch line of the distribution line, the fault position can be uniquely positioned, but the economic cost is too high, and the method cannot be popularized in a large area.
Disclosure of Invention
The invention aims to provide a distribution line traveling wave fault positioning method based on zero mode and line mode traveling wave fusion, aiming at the problems in the prior art.
In order to achieve the above purpose, the technical scheme of the invention is as follows:
a distribution line traveling wave fault positioning method based on zero mode and line mode traveling wave fusion sequentially comprises the following steps:
step A, constructing a distribution line description equation facing fault location;
step B, acquiring the time t when the zero-mode traveling wave generated by the fault reaches the initial end node of the distribution line by using the traveling wave sensors arranged at the initial end node and the tail end node of the distribution line 1 And time t of arrival at the end node 2 Acquiring the time t when the line mode traveling wave generated by the fault reaches the initial end node of the distribution line 3 And time t of arrival at the end node 4 ；
Step C, according to the time t when the zero-mode traveling wave generated by the fault reaches the initial end node of the distribution line 1 Time t of end node 2 And the time t when the line mode traveling wave generated by the fault reaches the initial end node of the distribution line 3 Time t of end node 4 Determining a fault section by combining the distribution line description equation facing fault positioning obtained in the step A;
d, determining a fault occurrence section according to the step C, and obtaining the time difference t between zero mode and line mode traveling waves generated by the fault and the arrival of the zero mode and line mode traveling waves at the initial end node of the distribution line 1 -t 3 Time difference t between zero mode traveling wave and line mode traveling wave reaching distribution line terminal node 2 -t 4 And finally determining the fault position.
Furthermore, the distribution line is divided into a trunk line and a branch line, and the starting end, the tail end, the branch node and the tail end node of the branch line are numbered: m 1 Indicating the starting end node of a distribution line, M 2 Representing the distribution line end node, the branch nodes are numbered in sequence from the start end node to the end node,are sequentially numbered as P 1 、P 2 、P 3 、……、P N-1 And a branch point P 1 、P 2 、P 3 、……、P N-1 The number of the corresponding branch line terminal node is F 1 、F 2 、F 3 、……、F N-1 When numbered, satisfy
Figure BDA0003752049670000021
Wherein,
Figure BDA0003752049670000022
represents the N-1 th branch node P N-1 To distribution line end node M 2 The distance of (a) to (b),
Figure BDA0003752049670000023
represents the N-1 th branch node P N-1 To the N-1 th branch node P N-1 Connected branch line end node F N-1 The distance of (a) to (b),
Figure BDA0003752049670000024
denotes the 1 st branch node P 1 To distribution line starting end node M 1 The distance of (a) to (b),
Figure BDA0003752049670000025
denotes the 1 st branch node P 1 To and from the 1 st branch node P 1 Connected branch line end node F 1 The line section is defined as a line between any two adjacent branch nodes, or any branch line, or a line from a line start node to a 1 st branch node, or a line from a last branch node to a line end node, and the line section is defined as l xy Representing the length of the section line with the nodes at two ends being x and y respectively, from the starting end node of the distribution line to the mth node P m The shortest distance is calculated by the formula
Figure BDA0003752049670000026
The fault traveling wave is transmitted along the shortest distance path between two nodes, so the distribution line description equation for fault location construction in the step a is a shortest distance calculation formula set from a real end node of the distribution line to all trunk line nodes, and the specific details are as follows:
Figure BDA0003752049670000031
further, in step C, the determining a section where the fault occurs specifically includes the following steps:
step C1-1, according to the time t when the zero-mode traveling wave generated by the fault reaches the initial end node of the distribution line 1 Time t of end node 2 Determining the distance l between the fault location and the initial end node of the distribution line f1 The method comprises the following steps:
Figure BDA0003752049670000032
in the formula: l t For the length of the main line of the distribution line, the calculation formula is
Figure BDA0003752049670000033
δ 1 D, determining the undetermined length variable in the zero-mode traveling wave positioning through a positioning formula in the subsequent step D; v. of 0 Zero-mode traveling wave velocity of the distribution line;
step C1-2, according to the time t when the line mode traveling wave generated by the fault reaches the initial end node of the distribution line 3 Time t of end node 4 Determining the distance l between the fault location and the initial end node of the distribution line f2 The method comprises the following steps:
Figure BDA0003752049670000034
in the formula: delta 2 D, determining the variable to be determined by a positioning formula in the subsequent step D; v. of 1 Traveling wave velocity of line mode of the distribution line;
step C1-3, obtaining the distance l between the fault position and the initial end node of the distribution line according to the step C1-1 f1 And D, calculating a fault generation section according to the moment information of zero-mode traveling waves reaching the initial end node and the tail end node of the distribution line by combining the distribution line description equation facing fault positioning obtained in the step A:
if it is
Figure BDA0003752049670000035
And is provided with
Figure BDA0003752049670000036
The failure occurs at the kth branch node P k And the (k + 1) th branch node P k+1 In this section, where β 1 Determining a threshold value for positioning a fault section, wherein the threshold value is determined by a wave head time calibration error of the traveling wave sensor and an algorithm error;
if it is
Figure BDA0003752049670000037
There are three cases for the fault occurrence zone: (1) The kth branch node P k And the (k + 1) th branch node P k+1 This section; (2) The k-1 th branch node P k-1 And the kth branch node P k This section; (3) And the kth branch node P k Connected branch lines; step C1-4, obtaining the distance l between the fault position and the initial end node of the distribution line according to the step C1-2 f2 And D, combining the distribution line description equation facing fault positioning obtained in the step A, and calculating a fault generation section according to the time information of the line mode traveling wave reaching the starting end node and the tail end node of the distribution line:
if it is
Figure BDA0003752049670000041
And is
Figure BDA0003752049670000042
It is finally determined that the failure occurs at the kth branch node P k And the (k + 1) th branch node P k+1 In this section, where β 11 Line mode travelling wave determination for fault sectionThe bit judgment threshold is determined by the wave head time calibration error of the traveling wave sensor and the algorithm error;
if it is
Figure BDA0003752049670000043
There are three cases for the fault occurrence zone: (1) The kth branch node P k And the (k + 1) th branch node P k+1 This section; (2) The k-1 th branch node P k-1 And the kth branch node P k This section; (3) And the kth branch node P k Connected branch lines.
Further, in step D, according to the fault occurrence section determined in step C and the time difference t between the zero mode and the line mode traveling wave generated by the fault and the time when the line mode traveling wave reaches the starting end node of the distribution line 1 -t 3 And the time difference t between the zero mode traveling wave and the line mode traveling wave reaching the end node of the distribution line 2 -t 4 And finally determining the fault position, wherein the specific steps comprise the following steps:
step D1-1, according to the time difference t between the zero mode and the line mode traveling wave generated by the fault and the arrival at the initial end node of the distribution line 1 -t 3 And calculating the distance l between the fault position and the initial end node of the distribution line f3 ：
Figure BDA0003752049670000044
Step D1-2, combining the fault section determined in the step C to determine the fault occurrence position, which specifically comprises the following steps:
(1) If it is
Figure BDA0003752049670000045
And is
Figure BDA0003752049670000046
β 2 If the error threshold is reached, the fault location is at the kth branch node P k And the (k + 1) th branch node P k+1 On this segment and spaced from the kth branch node P k A distance of
Figure BDA0003752049670000047
(2) If it is
Figure BDA0003752049670000051
And is
Figure BDA0003752049670000052
β 3 A threshold value set for avoiding misjudgment; the fault location is at the kth branch node P k On connected branch lines and spaced from the kth branch node P k A distance of
Figure BDA0003752049670000053
(3) If the above conditions are not met, the fault position is at the kth branch node P k On the peripheral circuit, and P k Is less than 1km.
Further, the fault section positioning judgment threshold β 1 Taken to be 0.6km.
Further, the fault section line mode traveling wave positioning judgment threshold β 11 Taken to be 0.5km.
Further, the error threshold β 2 Taken to be 0.5km.
Further, the threshold β set for avoiding misjudgment 3 Taken as 1.0km.
Compared with the prior art, the invention has the beneficial effects that:
1. the invention obtains the time t when the zero-mode traveling wave generated by the fault reaches the initial end node of the distribution line by utilizing the traveling wave sensors arranged at the initial end node and the tail end node of the distribution line 1 And time t of arrival at the end node 2 Acquiring the time t when the line mode traveling wave generated by the fault reaches the initial end node of the distribution line 3 And time t of arrival at the end node 4 Then, the difference between the four moments is used to determine the fault section and the distance between the fault position and the initial end node of the distribution line, and finally the fault position is uniquely determined according to the description equation of the distribution line, so that the distribution line can be used onlyThe two traveling wave sensors at the starting end node and the tail end node of the electric line realize fault positioning, so that the influence of the branch line on the accuracy of the traveling wave positioning of the distribution line is avoided, and the arrangement of the traveling wave sensors at the tail end of the branch line is also avoided;
2. the invention fully utilizes the characteristic that the zero-mode traveling wave and the line-mode traveling wave generated by the fault of the distribution line have different wave velocities, respectively captures the time when the zero-mode traveling wave and the line-mode traveling wave generated by the fault reach the traveling wave sensor for the first time to complete fault positioning, avoids the difficult problem that the wave head is not easy to identify caused by subsequent refraction and reflection, and can effectively improve the precision and the reliability of the traveling wave positioning.
Drawings
Fig. 1 is a flowchart of a distribution line traveling wave fault location method based on zero-mode and line-mode traveling wave fusion according to an embodiment of the present invention;
FIG. 2 is a schematic diagram of a power distribution network line fault according to an embodiment of the present invention;
fig. 3 illustrates a typical power distribution network line topology map for a section in which a fault occurs.
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 obtained by a person skilled in the art without making any creative effort based on the embodiments in the present invention, belong to the protection scope of the present invention.
Referring to fig. 1, an embodiment of the present invention provides a method for locating a distribution line traveling wave fault based on zero mode and line mode traveling wave fusion, including the following steps:
step A, constructing a distribution line description equation facing fault location;
step B, acquiring the time t when the zero-mode traveling wave generated by the fault reaches the initial end node of the distribution line by using the traveling wave sensors arranged at the initial end node and the tail end node of the distribution line 1 And time of arrival at the end nodet 2 Acquiring the time t when the line mode traveling wave generated by the fault reaches the initial end node of the distribution line 3 And time t of arrival at the end node 4 ；
Step C, according to the time t when the zero-mode traveling wave generated by the fault reaches the initial end node of the distribution line 1 Time t of end node 2 And the time t when the line mode traveling wave generated by the fault reaches the initial end node of the distribution line 3 Time t of end node 4 And D, determining a fault section by combining the distribution line description equation facing fault location obtained in the step A.
D, determining a fault occurrence section according to the step C, and obtaining the time difference t between zero mode and line mode traveling waves generated by the fault and the arrival of the zero mode and line mode traveling waves at the initial end node of the distribution line 1 -t 3 Time difference t between zero mode traveling wave and line mode traveling wave reaching distribution line terminal node 2 -t 4 And finally determining the fault position.
In the step a, the fault location-oriented distribution line description equation is constructed as follows:
the distribution lines are divided into two types, namely trunk lines and branch lines. The start, end, branch nodes and branch line end nodes are numbered. M 1 Indicating the starting end node, M, of a distribution line 2 Representing the end node of the distribution line, the branch nodes are numbered in sequence from the start end node to the end node, and the serial number is P 1 、P 2 、P 3 、……、P N-1 And a branch point P 1 、P 2 、P 3 、……、P N-1 The number of the corresponding branch line terminal node is F 1 、F 2 、F 3 、……、F N-1 . Satisfy when numbering
Figure BDA0003752049670000061
Wherein,
Figure BDA0003752049670000062
represents the N-1 th branch node P N-1 To distribution line end node M 2 The distance of (a) to (b),
Figure BDA0003752049670000063
represents the N-1 th branch node P N-1 To the N-1 th branch node P N-1 Connected branch line end node F N-1 The distance of (c).
Figure BDA0003752049670000064
Denotes the 1 st branch node P 1 To distribution line starting end node M 1 The distance of (a) to (b),
Figure BDA0003752049670000071
denotes the 1 st branch node P 1 To the 1 st branch node P 1 Connected branch line end node F 1 The distance of (c). Defining the line section as a line between any two adjacent branch nodes, or any branch line, or a line from a line starting end node to a 1 st branch node, or a line from a last branch node to a line end node, using xy Indicating the length of the segment line with nodes at both ends x and y, respectively.
Then the starting end node of the distribution line to the mth node P m The shortest distance is calculated by the formula
Figure BDA0003752049670000072
The fault traveling wave is transmitted along the shortest distance path between two nodes, so the distribution line description equation for fault location construction in the step a is a shortest distance calculation formula set from a real end node of the distribution line to all trunk line nodes, and the specific details are as follows:
Figure BDA0003752049670000073
in step C, the determining the section where the fault occurs specifically includes the following steps:
step C1-1, according to the time t when the zero-mode traveling wave generated by the fault reaches the initial end node of the distribution line 1 Time t of end node 2 Determining the distance l between the fault location and the initial end node of the distribution line f1 The method comprises the following steps:
Figure BDA0003752049670000074
in the formula: l t For the length of the main line of the distribution line, the calculation formula is
Figure BDA0003752049670000075
δ 1 D, determining the undetermined length variable in zero-mode traveling wave positioning through a positioning formula in the subsequent step D; v. of 0 The zero-mode traveling wave speed of the distribution line is generally obtained according to a line parameter theory or field measurement.
Step C1-2, according to the time t when the line mode traveling wave generated by the fault reaches the initial end node of the distribution line 3 Time t of end node 4 Determining the distance l between the fault location and the initial end node of the distribution line f2 The method comprises the following steps:
Figure BDA0003752049670000076
in the formula: delta. For the preparation of a coating 2 D, determining the variable to be determined by a positioning formula in the subsequent step D; v. of 1 The line mode traveling wave velocity of the distribution line is generally obtained according to a line parameter theory or actually measured on site.
Step C1-3, obtaining the distance l between the fault position and the initial end node of the distribution line according to the step C1-1 f1 Combining the distribution line description equation facing fault location obtained in the step A, calculating a fault occurrence section according to the time information of zero-mode traveling waves reaching the initial end node and the tail end node of the distribution line,
if it is
Figure BDA0003752049670000081
And is provided with
Figure BDA0003752049670000082
The failure occurs at the kth branch node P k And the (k + 1) th branch node P k+1 Over this section. In the formula beta 1 The threshold value is judged for the fault section positioning, which is mainly determined by the wave head time calibration error of the traveling wave sensor and the algorithm error, and can be generally 0.6km.
If it is
Figure BDA0003752049670000083
There may be three cases for the fault zone: (1) The kth branch node P k And the (k + 1) th branch node P k+1 This section; (2) The k-1 th branch node P k-1 And the kth branch node P k This section; (3) And the kth branch node P k Connected branch lines.
Step C1-4, obtaining the distance l between the fault position and the initial end node of the distribution line according to the step C1-2 f2 And D, combining the distribution line description equation facing fault positioning obtained in the step A, and calculating a fault generation section according to the time information of the line mode traveling wave reaching the starting end node and the tail end node of the distribution line:
if it is
Figure BDA0003752049670000084
And is provided with
Figure BDA0003752049670000085
It is finally determined that the fault occurs at the kth branch node P k And the (k + 1) th branch node P k+1 Over this section. In the formula beta 11 The threshold value is judged for the line mode traveling wave positioning of the fault section, which is mainly determined by the calibration error of the traveling wave sensor wave head time and the algorithm error, and can be generally 0.5km.
If it is
Figure BDA0003752049670000086
There may be three cases for the fault zone: (1) The kth branch node P k And the (k + 1) th branch node P k+1 This section; (2) The k-1 th branch node P k-1 And the kth branch node P k This section; (3) And the kth branch node P k Connected branch lines. The specific fault occurrence section needs to be further determined in connection with subsequent steps.
In step D, according to the fault section determined in step C and the time difference t between the zero mode and the line mode traveling wave generated by the fault and the arrival of the zero mode and the line mode traveling wave at the initial end node of the distribution line 1 -t 3 Time difference t between zero mode traveling wave and line mode traveling wave reaching distribution line terminal node 2 -t 4 And finally determining the fault position. The method specifically comprises the following steps:
step D1-1, according to the time difference t between the zero mode and the line mode traveling wave generated by the fault and the arrival at the initial end node of the distribution line 1 -t 3 And calculating the distance l between the fault position and the initial end node of the distribution line f3 ：
Figure BDA0003752049670000091
Step D1-2, combining the fault section determined in the step C to determine the fault occurrence position, which specifically comprises the following steps:
(1) If it is
Figure BDA0003752049670000092
And is
Figure BDA0003752049670000093
β 2 For an error threshold due to measurements etc., it may be generally taken to be 0.5km, the fault location is at the kth branch node P k And the (k + 1) th branch node P k+1 On this segment and spaced from the kth branch node P k Is a distance of
Figure BDA0003752049670000094
(2) If it is
Figure BDA0003752049670000095
And is
Figure BDA0003752049670000096
β 3 The threshold set for avoiding misjudgment may be 1.0km in general. The fault location is at the kth branch node P k On connected branch lines and spaced from the kth branch node P k A distance of
Figure BDA0003752049670000097
(3) If the above conditions are not met, the fault position is at the kth branch node P k On the peripheral circuit, and P k Is less than 1km.
The following is described with reference to a specific example:
based on the distribution line traveling wave fault location method under the fusion of the zero mode and the line mode traveling wave, fault location is carried out according to the steps given in figure 1, and figure 2 shows the situation that a typical distribution line has a fault.
For the particular distribution line of fig. 3:
(1) Firstly, a distribution line description equation oriented to fault positioning is constructed, wherein the starting end node and the tail end node of the distribution line are M 1 And M 2 The branch nodes are respectively P 1 And P 2 And branch node P 1 The end node of the connected branch line is F 1 And branch node P 2 The end node of the connected branch line is F 2 . Then
Figure BDA0003752049670000098
(2) Acquiring time t when zero-mode traveling wave generated by fault reaches initial end node of distribution line by using traveling wave sensors arranged at initial end node and tail end node of distribution line 1 92.1 microseconds and time t to reach the end node of 5 minutes 41 seconds 2 And acquiring time t of the line mode traveling wave generated by the fault reaching the initial end node of the distribution line by 109.6 microseconds in a time interval of 5 minutes and 41 seconds 3 71.2 microseconds and time t to reach end node for 5 minutes 41 seconds 4 84.7 microseconds for 5 minutes 41 seconds.
(3) According to the time t when the zero-mode traveling wave generated by the fault reaches the initial end node of the distribution line 1 Time t of end node 2 And the time t when the line mode traveling wave generated by the fault reaches the initial end node of the distribution line 3 Time t of end node 4 And determining the section where the fault occurs. Wherein v is 0 ＝2.28×10 8 m/s，v 1 ＝2.95×10 8 m/s。
Due to the fact that
Figure BDA0003752049670000101
Figure BDA0003752049670000102
There may be three cases for the fault zone: (1) 1 st branch node P 1 And 2 nd branch node P 2 This section; (2) Line starting end node and 1 st branch node P 1 This section; (3) And the 1 st branch node P 1 Connected branch lines.
(4) C, determining a fault occurrence section according to the step C, and the time difference t between zero mode and line mode traveling waves generated by the fault and the arrival of the zero mode and line mode traveling waves at the initial end node of the distribution line 1 -t 3 Time difference t between zero mode traveling wave and line mode traveling wave reaching distribution line terminal node 2 -t 4 And finally determining the fault position.
Figure BDA0003752049670000103
Figure BDA0003752049670000104
Thus, the fault location is at the 1 st branch node P 1 On the connected branch line and spaced from the 1 st branch node P 1 Is a distance of
Figure BDA0003752049670000105
The above description is only an embodiment of the present invention, but the scope of the present invention is not limited thereto, and any changes or substitutions that can be easily conceived by those skilled in the art within the technical scope of the present invention are included in the scope of the present invention. Therefore, the protection scope of the present invention shall be subject to the protection scope of the claims.

Claims (8)

1. A distribution line traveling wave fault positioning method based on zero mode and line mode traveling wave fusion is characterized by comprising the following steps:
step A, constructing a distribution line description equation facing fault location;
step B, acquiring the time t when the zero-mode traveling wave generated by the fault reaches the initial end node of the distribution line by using the traveling wave sensors arranged at the initial end node and the tail end node of the distribution line 1 And time t of arrival at the end node 2 Acquiring the time t when the line mode traveling wave generated by the fault reaches the initial end node of the distribution line 3 And time t of arrival at the end node 4 ；
Step C, according to the time t when the zero-mode traveling wave generated by the fault reaches the initial end node of the distribution line 1 Time t of end node 2 And the time t when the line mode traveling wave generated by the fault reaches the initial end node of the distribution line 3 Time t of end node 4 Determining a fault section by combining the distribution line description equation facing fault location obtained in the step A;
d, determining a fault occurrence section according to the step C, and obtaining the time difference t between zero mode and line mode traveling waves generated by the fault and the arrival of the zero mode and line mode traveling waves at the initial end node of the distribution line 1 -t 3 Time difference t between zero mode traveling wave and line mode traveling wave reaching distribution line terminal node 2 -t 4 And finally determining the fault position.
2. The distribution line traveling wave fault location method based on zero-mode and line-mode traveling wave fusion according to claim 1, characterized in that:
the distribution line is divided into a trunk line and a branch line, and the starting end, the tail end, the branch node and the tail end node of the branch line are numbered: m 1 Indicating the starting end node of a distribution line, M 2 The branch nodes are numbered from the initial end node to the end node in sequence, and the serial number is P 1 、P 2 、P 3 、……、P N-1 And a branch point P 1 、P 2 、P 3 、……、P N-1 The number of the corresponding branch line terminal node is F 1 、F 2 、F 3 、……、F N-1 When numbered, satisfy
Figure FDA0003752049660000011
Wherein,
Figure FDA0003752049660000012
represents the N-1 th branch node P N-1 To distribution line end node M 2 The distance of (a) to (b),
Figure FDA0003752049660000013
represents the N-1 th branch node P N-1 To the N-1 th branch node P N-1 Connected branch line end node F N-1 The distance of (a) to (b),
Figure FDA0003752049660000014
denotes the 1 st branch node P 1 To distribution line initial end node M 1 The distance of (a) to (b),
Figure FDA0003752049660000015
denotes the 1 st branch node P 1 To and from the 1 st branch node P 1 Connected branch line end node F 1 The line section is defined as a line between any two adjacent branch nodes, or any branch line, or a line from a line start node to a 1 st branch node, or a line from a last branch node to a line end node, and the line section is defined as l xy Representing the length of the section line with the nodes at two ends being x and y respectively, from the starting end node of the distribution line to the mth node P m The shortest distance is calculated by the formula
Figure FDA0003752049660000021
The fault traveling wave is transmitted along the shortest distance path between two nodes, so the distribution line description equation for fault location construction in the step a is a shortest distance calculation formula set from a real end node of the distribution line to all trunk line nodes, and the specific details are as follows:
Figure FDA0003752049660000022
3. the distribution line traveling wave fault location method based on zero-mode and line-mode traveling wave fusion according to claim 2, characterized in that:
in step C, the determining a section where the fault occurs specifically includes the following steps:
step C1-1, according to the time t when the zero-mode traveling wave generated by the fault reaches the initial end node of the distribution line 1 Time t of end node 2 Determining the distance l between the fault location and the initial end node of the distribution line f1 The method comprises the following steps:
Figure FDA0003752049660000023
in the formula: l t For the length of the main line of the distribution line, the calculation formula is
Figure FDA0003752049660000024
δ 1 D, determining the undetermined length variable in the zero-mode traveling wave positioning through a positioning formula in the subsequent step D; v. of 0 Traveling wave speed for the zero mode of the distribution line;
step C1-2, according to the time t when the line mode traveling wave generated by the fault reaches the initial end node of the distribution line 3 Time t of end node 4 Determining fault location and distribution line originDistance of origin node l f2 The method comprises the following steps:
Figure FDA0003752049660000025
in the formula: delta 2 D, determining the variable to be determined by a positioning formula in the subsequent step D; v. of 1 Traveling wave velocity of line mode of the distribution line;
step C1-3, obtaining the distance l between the fault position and the initial end node of the distribution line according to the step C1-1 f1 And D, calculating a fault occurrence section according to the moment information of zero-mode traveling waves reaching the initial end node and the tail end node of the distribution line by combining the distribution line description equation facing fault positioning obtained in the step A:
if it is
Figure FDA0003752049660000031
And is
Figure FDA0003752049660000032
The failure occurs at the kth branch node P k And the (k + 1) th branch node P k+1 In this section, where β 1 Determining a threshold value for positioning a fault section, wherein the threshold value is determined by a wave head time calibration error of the traveling wave sensor and an algorithm error;
if it is
Figure FDA0003752049660000033
There are three cases for the fault occurrence zone: (1) The kth branch node P k And the (k + 1) th branch node P k+1 This section; (2) The k-1 th branch node P k-1 And the kth branch node P k This section; (3) And the kth branch node P k Connected branch lines; step C1-4, obtaining the distance l between the fault position and the initial end node of the distribution line according to the step C1-2 f2 Combining the distribution line description equation facing fault positioning obtained in the step A, and according to the time information of the line mode traveling wave reaching the starting end node and the tail end node of the distribution lineCalculating a fault occurrence section:
if it is
Figure FDA0003752049660000034
And is
Figure FDA0003752049660000035
It is finally determined that the failure occurs at the kth branch node P k And the (k + 1) th branch node P k+1 In this section, where β 11 Determining a threshold value for the line mode traveling wave positioning of the fault section, wherein the threshold value is determined by a calibration error of a wave head moment of a traveling wave sensor and an algorithm error;
if it is
Figure FDA0003752049660000036
There are three cases for the fault occurrence section: (1) The kth branch node P k And the (k + 1) th branch node P k+1 This section; (2) The k-1 th branch node P k-1 And the kth branch node P k This section; (3) And the kth branch node P k Connected branch lines.
4. The distribution line traveling wave fault location method based on zero-mode and line-mode traveling wave fusion of claim 3, characterized in that:
in step D, according to the fault section determined in step C and the time difference t between the zero mode and the line mode traveling wave generated by the fault and the arrival of the zero mode and the line mode traveling wave at the initial end node of the distribution line 1 -t 3 Time difference t between zero mode traveling wave and line mode traveling wave reaching distribution line terminal node 2 -t 4 And finally determining the fault position, wherein the specific steps comprise the following steps:
step D1-1, according to the time difference t between the zero mode and the line mode traveling wave generated by the fault and the time when the line mode traveling wave reaches the initial end node of the distribution line 1 -t 3 And calculating the distance l between the fault position and the initial end node of the distribution line f3 ：
Figure FDA0003752049660000041
Step D1-2, combining the fault section determined in the step C to determine the fault occurrence position, which specifically comprises the following steps:
(1) If it is
Figure FDA0003752049660000042
And is provided with
Figure FDA0003752049660000043
β 2 For the error threshold, the fault location is at the kth branch node P k And the (k + 1) th branch node P k+1 On this segment and spaced from the kth branch node P k A distance of
Figure FDA0003752049660000044
(2) If it is
Figure FDA0003752049660000045
And is
Figure FDA0003752049660000046
β 3 A threshold value set for avoiding misjudgment; the fault location is at the kth branch node P k On connected branch lines and spaced from the kth branch node P k A distance of
Figure FDA0003752049660000047
(3) If the above conditions are not met, the fault position is at the kth branch node P k On the peripheral circuit, and P k Is less than 1km.
5. The distribution line traveling wave fault location method based on zero-mode and line-mode traveling wave fusion according to claim 3, characterized in that: the fault section positioning judgment threshold value beta 1 Taken to be 0.6km.
6. The distribution line traveling wave fault location method based on zero-mode and line-mode traveling wave fusion of claim 3, characterized in that: the fault section line mode traveling wave positioning judgment threshold beta 11 Taken as 0.5km.
7. The distribution line traveling wave fault location method based on zero-mode and line-mode traveling wave fusion according to claim 4, characterized in that: the error threshold value beta 2 Taken to be 0.5km.
8. The distribution line traveling wave fault location method based on zero-mode and line-mode traveling wave fusion according to claim 4, characterized in that: the threshold beta set for avoiding misjudgment 3 Taken as 1.0km.
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* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN117970038A (en) * 2024-04-01 2024-05-03 山东大学 Multi-branch-contained power distribution network traveling wave ranging method and terminal for eliminating zero-mode wave speed influence

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN117970038A (en) * 2024-04-01 2024-05-03 山东大学 Multi-branch-contained power distribution network traveling wave ranging method and terminal for eliminating zero-mode wave speed influence

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