CN111781468B - Asynchronous fault distance measurement method and system for T-shaped high-voltage transmission line - Google Patents

Asynchronous fault distance measurement method and system for T-shaped high-voltage transmission line Download PDF

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CN111781468B
CN111781468B CN202010680858.2A CN202010680858A CN111781468B CN 111781468 B CN111781468 B CN 111781468B CN 202010680858 A CN202010680858 A CN 202010680858A CN 111781468 B CN111781468 B CN 111781468B
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fault
positive sequence
voltage
branch
distance
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CN111781468A (en
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陈旭
伍祥
张利花
张鑫瑞
张超
程志强
李伟
王涛
苏迎春
张浩淼
李云鹏
金旭荣
楼蕊
樊博
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Marketing Service Center Of State Grid Ningxia Electric Power Co ltd Metering Center Of State Grid Ningxia Electric Power Co ltd
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Marketing Service Center Of State Grid Ningxia Electric Power Co ltd Metering Center Of State Grid Ningxia Electric Power Co ltd
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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
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R31/00Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
    • G01R31/08Locating faults in cables, transmission lines, or networks
    • G01R31/088Aspects of digital computing
    • 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
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    • 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

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Abstract

The invention relates to a T-shaped high-voltage transmission line asynchronous fault distance measurement method, which comprises the steps of extracting positive sequence voltage and current at three ends and fundamental wave phasor values of the positive sequence fault voltage and current; then, assuming that the fault occurs on each branch, obtaining the distance between the fault and the T node by using a distance measurement equation; then directly distinguishing fault branches and fault distances by using the characteristics of the distances obtained by the branches; and the correctness of the data is verified through an auxiliary criterion. The method utilizes the positive sequence component and the positive sequence fault component to directly measure the distance without judging the fault type, directly integrates fault branch judgment and fault distance measurement into a whole, is simple, does not need iteration, has no pseudo root, and avoids the defect that the traditional asynchronous fault distance measuring method needs to identify the pseudo root. The invention also provides a T-shaped high-voltage transmission line asynchronous fault distance measuring system.

Description

Asynchronous fault distance measurement method and system for T-shaped high-voltage transmission line
Technical Field
The invention relates to the technical field of power transmission systems, in particular to a T-shaped high-voltage transmission line asynchronous fault distance measurement method and system.
Background
The T-shaped power transmission line has large transmission power and heavy load, and once a fault occurs, it is very important to reliably and accurately find a fault position. The fault location method can be mainly divided into a traveling wave location method and a fault analysis location method in principle. The traveling wave distance measurement method has the defects that the traveling wave has dispersion phenomenon, the distance measurement dead zone exists when the voltage zero-crossing fault occurs, special hardware facilities need to be invested, the technical implementation is complex and the like, and the fault analysis distance measurement method has the advantages of being capable of utilizing the existing equipment, low in investment and the like, so that the method is widely applied.
The fault analysis ranging method can be divided into a synchronous ranging method and an asynchronous ranging method according to whether data at each end is synchronous or not. The synchronous ranging method utilizes a synchronization method to synchronize data of each end, but the asynchronous ranging method has wide application because the data of each end cannot be completely synchronized in consideration of delay errors of equipment, networks and the like. The traditional T-type asynchronous ranging method is used for fault ranging in two steps, firstly, different voltages of T nodes obtained by each end are used for judging a fault branch, secondly, normal branches are combined into a branch, and then the branch and the fault branch are equivalent to a double-end line for double-end asynchronous fault ranging, when a high-resistance fault occurs near the T node, the voltages obtained by each end are approximately the same, the fault of the T node can be judged when errors such as a mutual inductor are considered, and therefore the ranging error is larger.
Disclosure of Invention
In view of the above, it is necessary to provide an asynchronous fault location method for a T-type high-voltage transmission line, which can reliably and accurately find a fault location.
It is also necessary to provide a T-type high-voltage transmission line asynchronous fault location system which can reliably and accurately find the fault location.
A T-shaped high-voltage transmission line asynchronous fault distance measurement method comprises the following steps:
s001, respectively marking three ends of the T-shaped power transmission line as M, N and P, performing data filtering on voltage and current data of measuring points of the three ends M, N and P, extracting fundamental phasor, and solving positive sequence voltage and current and positive sequence fault voltage and current of the measuring points of the three ends by using a symmetric component method;
step S002, substituting the positive sequence voltage and current of the measuring point and the positive sequence fault voltage and current of the measuring point into a formula according to the positive sequence wave impedance and the propagation coefficient of the line by using the line lengths of the MT, NT and PT branches, and respectively solving the positive sequence voltage and the positive sequence fault voltage of the T node and the positive sequence current and the positive sequence fault current injected into the T node;
step S003, one of the three branches is assumed as a fault branch, a fault point on the branch is an imaginary fault point, data of each end is brought into a distance measurement function of the branch, and the distance between the imaginary fault point and a T node is calculated; similarly, respectively assuming the other two branches as the branches with faults, substituting each end data into the ranging function of each branch, and calculating the distance between the other two assumed fault points and the T node;
and step S004, comparing the distances from the three virtual fault points to the T node with the line length of the corresponding branch, if the distance from one virtual fault point to the T node is less than the line length of the branch and more than zero, the fault occurs on the branch, and the virtual fault distance of the branch is calculated to be the distance from the fault to the T node.
Preferably, theThe line lengths of the MT, NT and PT branches are used, and according to the positive sequence wave impedance and propagation coefficient of the line, the positive sequence voltage and current of the measuring point and the positive sequence fault voltage and current are substituted into a formula, and the positive sequence voltage U of the T node is respectively solved iT (i = M, N, P), positive sequence fault voltage Δ U iT And a positive sequence current I injected into the T node iT Positive sequence fault current delta I iT Comprises the following steps:
Figure GDA0003771767940000021
wherein, U i 、ΔU i Positive sequence voltage and positive sequence fault voltage of terminal I, respectively i 、ΔI i Positive sequence current and positive sequence fault current at terminal i,/ iT The length of the circuit of the iT branch is Z, the positive sequence wave impedance of the circuit is Z, and the positive sequence propagation coefficient of the circuit is gamma.
Preferably, in step S003, assuming that the fault occurs on the MT branch, the ranging function is:
Figure GDA0003771767940000022
wherein the content of the first and second substances,
Figure GDA0003771767940000031
B 1 =2(U NT I PT -U PT I NT )ΔI PT Z-2(ΔU NT ΔI PT -ΔU PT ΔI NT )I PT Z,
C 1 =(ΔU NT ΔI PT -ΔU PT ΔI NT )U PT -(U NT I PT -U PT I NT )ΔU PT
A 2 =(ΔU PT ΔI NT -ΔU NT ΔI PT )(2U MT I NT +U NT I MT )-(U PT I NT -U NT I PT )(2ΔU MT ΔI NT +ΔU NT ΔI MT ),
B 2 =2(U PT I NT -U NT I PT )ΔI NT Z-2(ΔU PT ΔI NT -ΔU NT ΔI PT )I NT Z,
C 2 =(ΔU PT ΔI NT -ΔU NT ΔI PT )U NT -(U PT I NT -U NT I PT )ΔU NT
preferably, in step S003, assuming that the fault occurs on the NT branch, the ranging function is:
Figure GDA0003771767940000032
wherein, the first and the second end of the pipe are connected with each other,
Figure GDA0003771767940000033
B 1 =2(U MT I PT -U PT I MT )ΔI PT Z-2(ΔU MT ΔI PT -ΔU PT ΔI MT )I PT Z,
C 1 =(ΔU MT ΔI PT -ΔU PT ΔI MT )U PT -(U MT I PT -U PT I MT )ΔU PT
A 2 =(ΔU PT ΔI MT -ΔU MT ΔI PT )(2U NT I MT +U MT I NT )-(U PT I MT -U MT I PT )(2ΔU NT ΔI MT +ΔU MT ΔI NT ),
B 2 =2(U PT I MT -U MT I PT )ΔI MT Z-2(ΔU PT ΔI MT -ΔU MT ΔI PT )I MT Z,
C 2 =(ΔU PT ΔI MT -ΔU MT ΔI PT )U MT -(U PT I MT -U MT I PT )ΔU MT
preferably, in step S003, assuming that a fault occurs on the PT branch, the ranging function is:
Figure GDA0003771767940000034
wherein the content of the first and second substances,
Figure GDA0003771767940000035
B 1 =2(U MT I NT -U NT I MT )ΔI NT Z-2(ΔU MT ΔI NT -ΔU NT ΔI MT )I NT Z,
C 1 =(ΔU MT ΔI NT -ΔU NT ΔI MT )U NT -(U MT I NT -U NT I MT )ΔU NT
A 2 =(ΔU NT ΔI MT -ΔU MT ΔI NT )(2U PT I MT +U MT I PT )-(U NT I MT -U MT I NT )(2ΔU PT ΔI MT +ΔU MT ΔI PT ),
B 2 =2(U NT I MT -U MT I NT )ΔI MT Z-2(ΔU NT ΔI MT -ΔU MT ΔI NT )I MT Z,
C 2 =(ΔU NT ΔI MT -ΔU MT ΔI NT )U MT -(U NT I MT -U MT I NT )ΔU MT
preferably, the T-type high-voltage transmission line asynchronous fault distance measurement method further comprises an auxiliary criterion for verifying the correctness of dataSex, i.e. distance of imaginary fault point of non-faulty branch from T node
Figure GDA0003771767940000041
Distance of fault point from T node of fault branch
Figure GDA0003771767940000042
Substituting an auxiliary criterion function:
Figure GDA0003771767940000043
wherein f is a modulo function; if f is<δ, then the distance of the fault point from the T node is valid; if f is>Delta, strengthening filtering the data of the three ends, and recalculating; when the distances from the virtual fault points on the two or three solved branches to the T node are all satisfied
Figure GDA0003771767940000044
When, if f<Delta, then the actual fault is a T node fault; if f>Delta, the data enhancement filtering of the three ends is recalculated.
A T-shaped high-voltage transmission line asynchronous fault ranging system comprises a data input module, a data extraction module, a ranging function calculation module and a numerical analysis module. The data input module is used for inputting voltage and current data of the measuring points at the three ends of M, N and P into the system; the data extraction module is used for filtering voltage and current data of the measuring points, extracting fundamental phasor, solving a positive sequence component and a positive sequence fault component of three ends by using a symmetric component method, and outputting the positive sequence component and the positive sequence fault component of the three ends to the ranging function calculation module; the distance measurement function calculation module is used for calculating the distance from the virtual fault point on the three branches to the T node; and the numerical analysis module is used for analyzing the distance from the supposed fault point to the T node, verifying the correctness of the data through auxiliary criteria and obtaining a fault branch and a fault distance.
Has the advantages that: the asynchronous fault distance measurement method for the T-shaped high-voltage transmission line integrates fault branch judgment and fault distance measurement, has no distance measurement dead zone, and has no defect of false root in the traditional asynchronous fault distance measurement method; the distance measurement method has no complex iterative program, can obtain the fault distance by using an analytical expression, has auxiliary criteria to judge the correctness of data, and is simple and reliable; the distance measurement method does not need to judge the fault type, is basically not influenced by transition resistance, system impedance, asynchronous angles, fault positions and the like, and has high distance measurement precision.
Drawings
Fig. 1 is a flowchart of the T-type high-voltage transmission line asynchronous fault location method of the present invention.
Fig. 2 is a schematic diagram of a T-type transmission line fault ranging on an NT branch when the fault occurs on the NT branch.
Fig. 3 is a schematic diagram of a T-type transmission line fault ranging on NT branch when a fault occurs on MT branch.
Detailed Description
In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the following description will be given with reference to the embodiments.
A T-shaped high-voltage transmission line asynchronous fault distance measurement method comprises the following steps:
referring to fig. 1, in step S001, three terminals of the T-type power transmission line are respectively marked as M, N, and P, data filtering is performed on voltage and current data of measurement points at the three terminals M, N, and P, fundamental phasor is extracted, and positive sequence voltage, current, and positive sequence fault voltage, current of the measurement points at the three terminals are solved by using a symmetric component method;
step S002, substituting the positive sequence voltage and current of the measuring point and the positive sequence fault voltage and current into a formula according to the positive sequence wave impedance and the propagation coefficient of the line by using the line lengths of the MT, NT and PT branches, and solving the positive sequence voltage and the positive sequence fault voltage from each end to the T node and the positive sequence current and the positive sequence fault current injected into the T node;
step S003, one of the three branches is assumed as a fault branch, a fault point on the branch is an imaginary fault point, data of each end is brought into a distance measurement function of the branch, and the distance between the imaginary fault point and a T node is calculated; in the same way, the other two branches are respectively assumed as the branches with faults, the data at each end is brought into the ranging function of each branch, and the distance between the other two assumed fault points and the T node is calculated;
and step S004, comparing the distances from the three virtual fault points to the T node with the line length of the corresponding branch, if the distance from one virtual fault point to the T node is less than the line length of the branch and more than zero, the fault occurs on the branch, and the virtual fault distance of the branch is calculated to be the distance from the fault to the T node.
Preferably, in step S002, the line lengths of the MT, NT and PT branches are used, and the positive sequence voltage and current at the measurement point and the positive sequence fault voltage and current are substituted into a formula according to the positive sequence wave impedance and propagation coefficient of the line, so as to respectively solve the positive sequence voltage U at the T node iT (i = M, N, P), positive sequence fault voltage Δ U iT And a positive sequence current I injected into the T node iT Positive sequence fault current delta I iT Comprises the following steps:
Figure GDA0003771767940000051
wherein, U i 、ΔU i Positive sequence voltage and positive sequence fault voltage of terminal I, respectively i 、ΔI i Positive sequence current and positive sequence fault current at terminal i,/ iT The length of the circuit of the iT branch is Z, the positive sequence wave impedance of the circuit is Z, and the positive sequence propagation coefficient of the circuit is gamma.
Preferably, in step S003, assuming that the fault occurs on the MT branch, the ranging function is:
Figure GDA0003771767940000061
wherein the content of the first and second substances,
Figure GDA0003771767940000062
B 1 =2(U NT I PT -U PT I NT )ΔI PT Z-2(ΔU NT ΔI PT -ΔU PT ΔI NT )I PT Z,
C 1 =(ΔU NT ΔI PT -ΔU PT ΔI NT )U PT -(U NT I PT -U PT I NT )ΔU PT
A 2 =(ΔU PT ΔI NT -ΔU NT ΔI PT )(2U MT I NT +U NT I MT )-(U PT I NT -U NT I PT )(2ΔU MT ΔI NT +ΔU NT ΔI MT ),
B 2 =2(U PT I NT -U NT I PT )ΔI NT Z-2(ΔU PT ΔI NT -ΔU NT ΔI PT )I NT Z,
C 2 =(ΔU PT ΔI NT -ΔU NT ΔI PT )U NT -(U PT I NT -U NT I PT )ΔU NT
preferably, in step S003, assuming that the fault occurs on the NT branch, the ranging function is:
Figure GDA0003771767940000063
wherein the content of the first and second substances,
Figure GDA0003771767940000064
B 1 =2(U MT I PT -U PT I MT )ΔI PT Z-2(ΔU MT ΔI PT -ΔU PT ΔI MT )I PT Z,
C 1 =(ΔU MT ΔI PT -ΔU PT ΔI MT )U PT -(U MT I PT -U PT I MT )ΔU PT
A 2 =(ΔU PT ΔI MT -ΔU MT ΔI PT )(2U NT I MT +U MT I NT )-(U PT I MT -U MT I PT )(2ΔU NT ΔI MT +ΔU MT ΔI NT ),
B 2 =2(U PT I MT -U MT I PT )ΔI MT Z-2(ΔU PT ΔI MT -ΔU MT ΔI PT )I MT Z,
C 2 =(ΔU PT ΔI MT -ΔU MT ΔI PT )U MT -(U PT I MT -U MT I PT )ΔU MT
preferably, in step S003, assuming that the fault occurs on the PT branch, the ranging function is:
Figure GDA0003771767940000071
wherein, the first and the second end of the pipe are connected with each other,
Figure GDA0003771767940000072
B 1 =2(U MT I NT -U NT I MT )ΔI NT Z-2(ΔU MT ΔI NT -ΔU NT ΔI MT )I NT Z,
C 1 =(ΔU MT ΔI NT -ΔU NT ΔI MT )U NT -(U MT I NT -U NT I MT )ΔU NT
A 2 =(ΔU NT ΔI MT -ΔU MT ΔI NT )(2U PT I MT +U MT I PT )-(U NT I MT -U MT I NT )(2ΔU PT ΔI MT +ΔU MT ΔI PT ),
B 2 =2(U NT I MT -U MT I NT )ΔI MT Z-2(ΔU NT ΔI MT -ΔU MT ΔI NT )I MT Z,
C 2 =(ΔU NT ΔI MT -ΔU MT ΔI NT )U MT -(U NT I MT -U MT I NT )ΔU MT
preferably, the T-type high-voltage transmission line asynchronous fault distance measuring method further comprises an auxiliary criterion for verifying the correctness of the data, that is, the distance from the virtual fault point of the non-fault branch to the T node
Figure GDA0003771767940000073
Distance of fault point from T node of fault branch
Figure GDA0003771767940000074
Introducing an auxiliary criterion function:
Figure GDA0003771767940000075
wherein f is a modulus function; if f is<δ, then the calculated distance of the fault point from the T node is valid; if f is>Delta, strengthening and filtering the data of the three ends, and recalculating; when the distances from the virtual fault points on the two or three solved branches to the T node are all satisfied
Figure GDA0003771767940000076
When, if f<δ, then the actual fault is a T node fault; if f>Delta, the data enhancement filtering of the three ends is recalculated.
Under the ideal condition of the water-cooling device,
Figure GDA0003771767940000077
considering the actual transformer acquisition error, extracting fundamental wave vector error and the like, the method can lead
Figure GDA0003771767940000078
Close to 0 but not zero, so in practical applications a threshold δ needs to be set.When in use
Figure GDA0003771767940000079
When the obtained value is within the threshold range, the data of the three ends are accurate, and the distances from the fault branch and the fault point to the T node are accurate according to the ranging function; when in use
Figure GDA00037717679400000710
If the obtained value is not in the threshold range, the error of the data extracted from the three ends is large, and at this time, the data of the three ends are subjected to reinforced filtering and are calculated again.
Taking the case that the fault occurs on the NT branch as an example, as shown in fig. 2:
the positive sequence voltage of the T node and the positive sequence current injected into the T node have the following relations with the positive sequence voltage and the positive sequence current of the N end:
Figure GDA0003771767940000081
taking N-end data as a reference, the asynchronous angle of the M-end data relative to the N-end data is delta 1 The asynchronous angle of the P-end data relative to the N-end data is delta 2 And make an order
Figure GDA0003771767940000082
Then there is
Figure GDA0003771767940000083
Similarly, the positive sequence fault voltage and the positive sequence fault current injected into the T node and the positive sequence fault voltage and the positive sequence fault current at the N end have the following relations:
Figure GDA0003771767940000084
the distance between the fault point and the T node can be obtained through the joint type (2) and the formula (3):
Figure GDA0003771767940000085
wherein the content of the first and second substances,
Figure GDA0003771767940000086
B 1 =2(U MT I PT -U PT I MT )ΔI PT Z-2(ΔU MT ΔI PT -ΔU PT ΔI MT )I PT Z,
C 1 =(ΔU MT ΔI PT -ΔU PT ΔI MT )U PT -(U MT I PT -U PT I MT )ΔU PT
A 2 =(ΔU PT ΔI MT -ΔU MT ΔI PT )(2U NT I MT +U MT I NT )-(U PT I MT -U MT I PT )(2ΔU NT ΔI MT +ΔU MT ΔI NT ),
B 2 =2(U PT I MT -U MT I PT )ΔI MT Z-2(ΔU PT ΔI MT -ΔU MT ΔI PT )I MT Z,
C 2 =(ΔU PT ΔI MT -ΔU MT ΔI PT )U MT -(U PT I MT -U MT I PT )ΔU MT
when the actual fault occurs on the NT branch, there are
Figure GDA0003771767940000087
When the actual failure does not occur on the NT branch, but on the MT branch, as shown in fig. 3.
In the same way, there are
Figure GDA0003771767940000091
The distance l between the fault point and the T node can be obtained from the formula (5) Tf Is composed of
Figure GDA0003771767940000092
L in equation (6) due to the actual failure occurring on the MT leg Tf The distance from the actual fault to the T node is l Tf >0, the expression on the right side of the equal sign of the formula (6) is less than 0. When the expected failure occurs in the NT branch and the distance is measured by the equation (4), the comparison with the right expression having the same sign as the equation (6) is made, and the result is obtained by the equation (4)
Figure GDA0003771767940000098
The results are shown in formula (4) and formula (6)
Figure GDA0003771767940000093
Obtained by ranging on MT branches due to actual faults occurring on MT branches
Figure GDA0003771767940000094
Is that Tf I.e. by
Figure GDA0003771767940000095
When the actual fault does not occur on the MT branch but on the PT branch, the MT and PT branches are electrically symmetrical, and the same principle also exists
Figure GDA0003771767940000096
Supposing that the fault occurs on the MT branch, the same principle is that the distance measurement is carried out on the MT branch
Figure GDA0003771767940000097
Wherein, the first and the second end of the pipe are connected with each other,
A 1 =(ΔU NT ΔI PT -ΔU PT ΔI NT )(2U MT I PT +U PT I MT )-(U NT I PT -U PT I NT )(2ΔU MT ΔI PT +ΔU PT ΔI MT ),
B 1 =2(U NT I PT -U PT I NT )ΔI PT Z-2(ΔU NT ΔI PT -ΔU PT ΔI NT )I PT Z,
C 1 =(ΔU NT ΔI PT -ΔU PT ΔI NT )U PT -(U NT I PT -U PT I NT )ΔU PT
A 2 =(ΔU PT ΔI NT -ΔU NT ΔI PT )(2U MT I NT +U NT I MT )-(U PT I NT -U NT I PT )(2ΔU MT ΔI NT +ΔU NT ΔI MT ),
B 2 =2(U PT I NT -U NT I PT )ΔI NT Z-2(ΔU PT ΔI NT -ΔU NT ΔI PT )I NT Z,
C 2 =(ΔU PT ΔI NT -ΔU NT ΔI PT )U NT -(U PT I NT -U NT I PT )ΔU NT
if it is found
Figure GDA0003771767940000101
And satisfy
Figure GDA0003771767940000102
A failure occurs on the MT branch,
Figure GDA0003771767940000103
the distance of the fault from the T node; if obtained
Figure GDA0003771767940000104
The failure does not occur on the MT branch.
The supposed fault occurs on the PT branch, and the distance measurement on the PT branch is the same
Figure GDA0003771767940000105
Wherein the content of the first and second substances,
A 1 =(ΔU MT ΔI NT -ΔU NT ΔI MT )(2U PT I NT +U NT I PT )-(U MT I NT -U NT I MT )(2ΔU PT ΔI NT +ΔU NT ΔI PT ),
B 1 =2(U MT I NT -U NT I MT )ΔI NT Z-2(ΔU MT ΔI NT -ΔU NT ΔI MT )I NT Z,
C 1 =(ΔU MT ΔI NT -ΔU NT ΔI MT )U NT -(U MT I NT -U NT I MT )ΔU NT
A 2 =(ΔU NT ΔI MT -ΔU MT ΔI NT )(2U PT I MT +U MT I PT )-(U NT I MT -U MT I NT )(2ΔU PT ΔI MT +ΔU MT ΔI PT ),
B 2 =2(U NT I MT -U MT I NT )ΔI MT Z-2(ΔU NT ΔI MT -ΔU MT ΔI NT )I MT Z,
C 2 =(ΔU NT ΔI MT -ΔU MT ΔI NT )U MT -(U NT I MT -U MT I NT )ΔU MT
if obtained
Figure GDA0003771767940000106
And satisfy
Figure GDA0003771767940000107
The failure occurs on the PT branch,
Figure GDA0003771767940000108
the distance of the fault from the T node; if obtained
Figure GDA0003771767940000109
The failure does not occur on the PT branch.
The asynchronous fault distance measurement method for the T-shaped high-voltage transmission line integrates fault branch judgment and fault distance measurement, has no distance measurement dead zone, and has no defect of pseudo roots in the traditional asynchronous distance measurement method; the distance measurement method has no complex iterative program, can obtain the fault distance by using an analytical expression, has auxiliary criteria to judge the correctness of data, and is simple and reliable; the distance measurement method does not need to judge the fault type, is basically not influenced by transition resistance, system impedance, asynchronous angles, fault positions and the like, and has high distance measurement precision.
The invention also provides a T-shaped high-voltage transmission line asynchronous fault distance measurement system which comprises a data input module, a data extraction module, a distance measurement function calculation module and a numerical analysis module. The data input module is used for inputting voltage and current data of the measuring points at the three ends of M, N and P into the system; the data extraction module is used for filtering voltage and current data of the measuring points, extracting fundamental phasor, solving a positive sequence component and a positive sequence fault component of three ends by using a symmetric component method, and outputting the positive sequence component and the positive sequence fault component of the three ends to the ranging function calculation module; the distance measurement function calculation module is used for calculating the distance from the virtual fault point to the T node on the three branches; and the numerical analysis module is used for analyzing the distance from the supposed fault point to the T node, verifying the correctness of the data through auxiliary criteria and obtaining a fault branch and a fault distance.
Specifically, voltage and current data of three ends of M, N and P are input into the data input module, and after passing through the data extraction module, the distance measurement function calculation module calculates each branch circuitThe numerical analysis module analyzes and judges the virtual fault distance obtained by each branch circuit: if the distance between the supposed fault point and the T node is less than or equal to zero, the branch is preliminarily judged to be a non-fault branch; and if the distance from the supposed fault point to the T node is less than the line length of the branch and greater than zero, the branch is preliminarily judged to be a fault branch. The numerical analysis module also analyzes the imaginary fault distance of the non-fault branch
Figure GDA0003771767940000111
Distance to fault branch
Figure GDA0003771767940000112
Function with auxiliary criteria
Figure GDA0003771767940000113
If f is<δ, then outputting the fault distance and the fault branch; if f is>Delta, the data of the three ends are subjected to enhanced filtering, and the calculation is carried out again. In the numerical analysis module, when the distances from the virtual fault points on the two or three solved branches to the T node are all satisfied
Figure GDA0003771767940000114
When f is present<δ, then the actual fault is a T node fault; if f>Delta, recalculating the data enhancement filter of the three ends.
While the invention has been described with reference to a preferred embodiment, it will be understood by those skilled in the art that various changes in form and detail may be made therein without departing from the spirit and scope of the invention.

Claims (6)

1. A T-shaped high-voltage transmission line asynchronous fault distance measuring method is characterized by comprising the following steps: the method comprises the following steps:
s001, respectively marking three ends of the T-shaped power transmission line as M, N and P, performing data filtering on voltage and current data of measuring points of the three ends M, N and P, extracting fundamental phasor, and solving positive sequence voltage and current and positive sequence fault voltage and current of the measuring points of the three ends by using a symmetric component method;
step S002, substituting the positive sequence voltage and current of the measuring point and the positive sequence fault voltage and current of the measuring point into a formula according to the positive sequence wave impedance and the propagation coefficient of the line by using the line lengths of the MT, NT and PT branches, and respectively solving the positive sequence voltage and the positive sequence fault voltage of the T node and the positive sequence current and the positive sequence fault current injected into the T node;
step S003, one of the three branches is assumed as a fault branch, a fault point on the branch is an imaginary fault point, data of each end is brought into a distance measurement function of the branch, and the distance between the imaginary fault point and a T node is calculated; in the same way, the other two branches are respectively assumed as the branches with faults, the data at each end is brought into the ranging function of each branch, and the distance between the other two assumed fault points and the T node is calculated;
and step S004, comparing the distances from the three virtual fault points to the T node with the line length of the corresponding branch, if the distance from one virtual fault point to the T node is less than the line length of the branch and more than zero, the fault occurs on the branch, and the virtual fault distance of the branch is calculated to be the distance from the fault to the T node.
2. The T-type high-voltage transmission line non-synchronous fault location method of claim 1, characterized in that: in step S002, the line lengths of the MT, NT, and PT branches are used, and the positive sequence voltage and current at the measurement point and the positive sequence fault voltage and current are substituted into a formula according to the positive sequence wave impedance and propagation coefficient of the line, so as to respectively solve the positive sequence voltage U at the T node iT I = M, N, P, positive sequence fault voltage Δ U iT And a positive sequence current I injected into the T node iT Positive sequence fault current delta I iT Comprises the following steps:
Figure FDA0003771767930000011
wherein, U i 、ΔU i Positive sequence voltage and positive sequence fault voltage of terminal I, respectively i 、ΔI i Positive sequence current and positive sequence fault current at terminal i,/ iT The length of the circuit of the iT branch is Z, the positive sequence wave impedance of the circuit is Z, and the positive sequence propagation coefficient of the circuit is gamma.
3. The T-type high-voltage transmission line non-synchronous fault location method of claim 1, characterized in that: in step S003, assuming that a fault occurs on the MT branch, the ranging function is:
Figure FDA0003771767930000021
wherein the content of the first and second substances,
Figure FDA0003771767930000022
B 1 =2(U NT I PT -U PT I NT )ΔI PT Z-2(ΔU NT ΔI PT -ΔU PT ΔI NT )I PT Z,
C 1 =(ΔU NT ΔI PT -ΔU PT ΔI NT )U PT -(U NT I PT -U PT I NT )ΔU PT
A 2 =(ΔU PT ΔI NT -ΔU NT ΔI PT )(2U MT I NT +U NT I MT )-(U PT I NT -U NT I PT )(2ΔU MT ΔI NT +ΔU NT ΔI MT ),
B 2 =2(U PT I NT -U NT I PT )ΔI NT Z-2(ΔU PT ΔI NT -ΔU NT ΔI PT )I NT Z,
C 2 =(ΔU PT ΔI NT -ΔU NT ΔI PT )U NT -(U PT I NT -U NT I PT )ΔU NT
4. the T-type high-voltage transmission line non-synchronous fault location method of claim 1, characterized in that: in step S003, assuming that a fault occurs on the NT branch, the ranging function is:
Figure FDA0003771767930000023
wherein the content of the first and second substances,
Figure FDA0003771767930000024
B 1 =2(U MT I PT -U PT I MT )ΔI PT Z-2(ΔU MT ΔI PT -ΔU PT ΔI MT )I PT Z,
C 1 =(ΔU MT ΔI PT -ΔU PT ΔI MT )U PT -(U MT I PT -U PT I MT )ΔU PT
A 2 =(ΔU PT ΔI MT -ΔU MT ΔI PT )(2U NT I MT +U MT I NT )-(U PT I MT -U MT I PT )(2ΔU NT ΔI MT +ΔU MT ΔI NT ),
B 2 =2(U PT I MT -U MT I PT )ΔI MT Z-2(ΔU PT ΔI MT -ΔU MT ΔI PT )I MT Z,
C 2 =(ΔU PT ΔI MT -ΔU MT ΔI PT )U MT -(U PT I MT -U MT I PT )ΔU MT
in step S003, assuming that a fault occurs on the PT branch, the ranging function is:
Figure FDA0003771767930000031
wherein, the first and the second end of the pipe are connected with each other,
Figure FDA0003771767930000032
B 1 =2(U MT I NT -U NT I MT )ΔI NT Z-2(ΔU MT ΔI NT -ΔU NT ΔI MT )I NT Z,
C 1 =(ΔU MT ΔI NT -ΔU NT ΔI MT )U NT -(U MT I NT -U NT I MT )ΔU NT
A 2 =(ΔU NT ΔI MT -ΔU MT ΔI NT )(2U PT I MT +U MT I PT )-(U NT I MT -U MT I NT )(2ΔU PT ΔI MT +ΔU MT ΔI PT ),
B 2 =2(U NT I MT -U MT I NT )ΔI MT Z-2(ΔU NT ΔI MT -ΔU MT ΔI NT )I MT Z,
C 2 =(ΔU NT ΔI MT -ΔU MT ΔI NT )U MT -(U NT I MT -U MT I NT )ΔU MT
5. the T-shaped high-voltage transmission line asynchronous fault distance measuring method according to claim 1, characterized in that: the method for measuring the distance of the asynchronous fault of the T-shaped high-voltage transmission line also comprises an auxiliary criterion for verifying the correctness of data, namely the distance between an imaginary fault point of a non-fault branch and a T node
Figure FDA0003771767930000035
Distance of fault point from T node of fault branch
Figure FDA0003771767930000033
Introducing an auxiliary criterion function:
Figure FDA0003771767930000034
wherein f is a modulo function; if f is<δ, δ being a threshold value close to 0 but not equal to 0, then the calculated distance of the point of failure from the T node is valid; if f is>Delta, strengthening and filtering the data of the three ends, and recalculating; when the distances from the virtual fault points on the two or three solved branches to the T node are all satisfied
Figure FDA0003771767930000036
When, if f<δ, then the actual fault is a T node fault; if f>Delta, the data enhancement filtering of the three ends is recalculated.
6. The utility model provides a T type high tension transmission line asynchronous fault ranging system which characterized in that: the system comprises a data input module, a data extraction module, a ranging function calculation module and a numerical analysis module, wherein the data input module is used for inputting voltage and current data of measuring points at three ends of M, N and P into the system; the data extraction module is used for filtering voltage and current data of the measuring points, extracting fundamental phasor, solving a positive sequence component and a positive sequence fault component of three ends by using a symmetric component method, and outputting the positive sequence component and the positive sequence fault component of the three ends to the ranging function calculation module; the distance measurement function calculation module is used for calculating the distance from the virtual fault point on the three branches to the T node; and the numerical analysis module is used for analyzing the distance from the supposed fault point to the T node, verifying the correctness of the data through auxiliary criteria and obtaining a fault branch and a fault distance.
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