CN113655342A - Three-core cable single-phase fault positioning method based on multi-conductor coupling model - Google Patents

Three-core cable single-phase fault positioning method based on multi-conductor coupling model Download PDF

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CN113655342A
CN113655342A CN202111114314.0A CN202111114314A CN113655342A CN 113655342 A CN113655342 A CN 113655342A CN 202111114314 A CN202111114314 A CN 202111114314A CN 113655342 A CN113655342 A CN 113655342A
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fault
cable
phasor
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王炜
尹力
任孝峰
王�华
孙锐
黄伟峰
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Lianyungang Power Supply Co of State Grid Jiangsu 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
    • G01R31/50Testing of electric apparatus, lines, cables or components for short-circuits, continuity, leakage current or incorrect line connections
    • G01R31/58Testing of lines, cables or conductors
    • 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
    • G01R31/083Locating faults in cables, transmission lines, or networks according to type of conductors in cables, e.g. underground
    • 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
    • G01R31/086Locating faults in cables, transmission lines, or networks according to type of conductors in power transmission or distribution networks, i.e. with interconnected conductors
    • 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
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    • G01R31/088Aspects of digital computing

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Abstract

The invention discloses a three-core cable single-phase fault positioning method based on a multi-conductor coupling model, which comprises the steps of acquiring typical three-core cable line parameters under normal conditions to form an impedance and admittance matrix of a cable, and when a cable line fails, firstly extracting voltage and current phasors on three phases at the head end and the tail end of the cable and a grounding wire after the failure occurs; selecting a step length, and setting a series of virtual fault points by taking the position of the first step length from the head end as a starting point until the tail end of the line; respectively calculating the voltage phasor of each virtual fault point by using the electric quantities at the head end and the tail end to form two groups of voltage phasor sequences; and the distance corresponding to the minimum absolute value of the difference between the amplitudes of the two groups of voltage phasor sequences is used as a fault distance criterion to realize fault positioning. The invention belongs to the technical field of power distribution network cable line fault positioning, and particularly relates to a three-core cable single-phase fault positioning method based on a multi-conductor coupling model, which is low in implementation cost and high in ranging precision.

Description

Three-core cable single-phase fault positioning method based on multi-conductor coupling model
Technical Field
The invention belongs to the technical field of power distribution network cable line fault positioning, and particularly relates to a three-core cable single-phase fault positioning method based on a multi-conductor coupling model.
Background
In recent years, the economic development of China drives the urbanization and industrialization to be deepened continuously, the power system is developed greatly, the scale of the power distribution network system is enlarged continuously, the structure is more complex, the power cable accounts for a larger proportion in urban power supply, and the original overhead line of the power distribution network is replaced by the underground three-core cable gradually.
The underground three-core cable of the power distribution network is usually laid in a pipe arrangement mode or a direct-buried mode, and the cable is easily affected by factors such as external force, moisture and chemical pollution in work to cause damage, further develops into an insulation breakdown accident, causes a single-phase fault, and even can cause power failure in partial areas of a power grid if the fault cannot be cleared in time, causes great economic loss and jeopardizes normal social production and life orders. When carrying out the troubleshooting to the cable, often need dig out, destroy original road surface, if can not realize accurate location to three-core cable fault point, will greatly prolong the power failure engineering time, reduce the power supply reliability.
At present, no systematic and effective fault positioning method exists for the on-line positioning of the three-core cable line of the power distribution network after single-phase fault. Therefore, the reliable and accurate three-core cable fault online positioning technology has important significance for timely positioning the cable fault, preventing fault expansion and ensuring safe and stable operation of the power system.
Disclosure of Invention
In order to solve the problems, the invention provides a three-core cable single-phase fault positioning method based on a multi-conductor coupling model, and solves the problem of single-phase fault positioning of the cable line of the power distribution network at present.
In order to realize the functions, the technical scheme adopted by the invention is as follows: a three-core cable single-phase fault positioning method based on a multi-conductor coupling model comprises the following steps:
(1) under the normal condition of the system, obtaining the line parameters of a typical three-core cable to form an impedance matrix Z 'based on a simplified four-conductor model of the independent shielding layer three-core cable'ISAnd admittance matrix Y'IS
(2) When a cable line has a fault, extracting voltage phasor V at the head end and the tail end of the cable after the fault occurs through the acquisition deviceh、VtHead and tail end current phasor Ih、It
(3) Setting the total length L of the fault cable line as N delta L, wherein delta L is the step length and the distance between the head end of the relative cable is LfSetting an initial virtual fault point at the position of delta l, and recording the initial virtual fault point as m1
(4) For virtual failure point miFrom the voltage of the head and the tail ends, the current phasor Vh,Vt,Ih,ItAnd a fault distance lfRespectively calculating to obtain voltage phasor V of corresponding virtual fault pointmhi、VmtiAnd clearing the current virtual fault point;
(5) the distance l from the head end is set in sequence by taking the step length delta l as an intervalfVirtual fault point m of i Δ li(1<i<N), repeating the operation of the step (4) to construct two groups of voltage phasor groups Vmh、Vmt
(6) And taking the element serial number with the minimum absolute value of the difference between the corresponding element amplitudes of the two groups of voltage phasor sequences as f to realize fault positioning, wherein the fault position is f delta l away from the head end.
Further, in the step (1), the impedance matrix Z'ISAnd admittance matrix Y'IS
Figure BDA0003274954480000021
Figure BDA0003274954480000022
Wherein Z isccAnd ZmmFor the unit length of the core and the armouring layerAn impedance; m iscmFor the mutual impedance per unit length, y, between the conductive core and the armour layerssIs the self-admittance per unit length of the metal shielding layer, ysmFor mutual admittance, y, between metallic shielding layers and armouring layers of respective phasescmFor mutual admittance, y, between the respective core and the armour layerscsFor mutual admittance of each phase core and the metal shielding layer, ymgIs the transadmittance of the armor layer to ground.
Further, in the step (2), the voltage and the current phasor at two ends of the cable line after the fault are obtained from the measuring point at the head and tail ends of the fault cable line and are respectively marked as Vh、Vt、Ih、ItIn which V ish、VtRespectively the phasor of the first and the last end voltage of the cable line after the faulth、ItRespectively the current phasor at the head end and the tail end of the cable line after the fault, Vh、Vt、Ih、ItMay be represented as follows:
Figure BDA0003274954480000031
wherein, the superscript A, B, C, M represents A, B, C three-phase conductive core and armor respectively.
Further, in the step (4), passing the head-end voltage phasor Vh、VtCurrent phasor Ih、ItCalculating the distance line head end lfVirtual fault point m ofi(1<i<N, i is an integer) voltage phasor Vmhi、VmtiThe calculation formula is as follows:
Figure BDA0003274954480000032
Figure BDA0003274954480000033
wherein, Vmhi、VmtiRespectively calculated by the electric quantities at the head and tail endsPseudo fault point miVoltage phasor of (a):
Figure BDA0003274954480000034
Figure BDA0003274954480000035
further, in the step (5), distances l from the head end are sequentially set at intervals of the step length delta lfVirtual fault point m of i Δ liAnd (5) repeating the operation of the step (4) until i is equal to N, and constructing two voltage phasor groups:
Vmh=[Vmh1(Δl),Vmh2(2Δl),…,Vmh(N-1)((N-1)Δl)]
Vmt=[Vmt1(Δl),Vmt2(2Δl),…,Vmt(N-1)((N-1)Δl)]
wherein, VmhSet of virtual fault point voltage phasors, V, derived for the head endmtFor a virtual fault point voltage phasor group calculated by the tail end, N is an integer part of the ratio of L to delta L; the value of delta l depends on the precision of the cable parameters, the required calculation precision and the like, and can be 1 m.
Further, in the step (6), the minimum value of the absolute value of the difference between the amplitudes of the two groups of voltage phasor sequences is extracted as a judgment basis to realize fault positioning, and the calculation formula is as follows:
Vm(fΔl)=|Vmhf(fΔl)-Vmtf(fΔl)|=min{|Vmh-Vmt|}
where f Δ l is the distance between the location of the fault being located and the head end.
The invention adopts the structure to obtain the following beneficial effects: the invention provides a three-core cable single-phase fault positioning method based on a multi-conductor coupling model, which comprises the steps of obtaining typical three-core cable line parameters under normal conditions to form an impedance and admittance matrix of a cable, and when a cable line fails, firstly extracting voltage and current phasors on three phases at the head end and the tail end of the cable and a grounding wire after the failure occurs; secondly, selecting a step length, and setting a series of virtual fault points by taking the position of the first step length from the head end as a starting point until the tail end of the line; thirdly, independently calculating the voltage phasor of each virtual fault point by using the electric quantities at the head end and the tail end respectively to form two groups of voltage phasor sequences; finally, the distance corresponding to the minimum absolute value of the difference between the amplitudes of the two groups of voltage phasor sequences is used as a fault distance criterion to realize fault positioning; the method has the advantages of low implementation cost, small influence of single-phase fault types and fault distances, and high ranging precision.
Drawings
FIG. 1 is a flow chart of a single-phase fault location method of a three-core cable based on a multi-conductor coupling model according to the present invention;
fig. 2 is a schematic diagram of a power distribution network independent shielding layer three-core cable line and an electrical measurement thereof based on a multi-conductor coupling model three-core cable single-phase fault positioning method of the invention.
Detailed Description
The technical solutions of the present invention will be described clearly and completely with reference to the accompanying drawings, and it should be understood 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.
As shown in fig. 1-2, the invention relates to a method for positioning single-phase fault of three-core cable based on multi-conductor coupling model, comprising the following steps:
1. under the normal condition of the system, obtaining the line parameters of a typical three-core cable to form an impedance matrix Z 'based on a simplified four-conductor model of the independent shielding layer three-core cable'ISAnd admittance matrix Y'IS
Figure BDA0003274954480000051
Figure BDA0003274954480000052
Wherein Z isccAnd ZmmIs the self-impedance per unit length of the guide core and the armor layer; m iscmFor the mutual impedance per unit length, y, between the conductive core and the armour layerssIs the self-admittance per unit length of the metal shielding layer, ysmFor mutual admittance, y, between metallic shielding layers and armouring layers of respective phasescmFor mutual admittance, y, between the respective core and the armour layerscsFor mutual admittance of each phase core and the metal shielding layer, ymgIs the transadmittance of the armor layer to ground.
2. When a cable line has a fault, extracting voltage phasor V of the head end and the tail end of the cable after the fault occurs through the acquisition device arranged at the head end and the tail endh、VtHead and tail end current phasor Ih、ItIn which V ish、VtRespectively the phasor of the first and the last end voltage of the cable line after the faulth、ItRespectively the current phasor at the head end and the tail end of the cable line after the fault, Vh、Vt、Ih、ItMay be represented as follows:
Figure BDA0003274954480000053
wherein, the superscript A, B, C, M represents A, B, C three-phase conductive core and armor respectively.
3. Setting the total length L of the fault cable line as N delta L, wherein delta L is the step length and the distance between the head end of the relative cable is LfSetting an initial virtual fault point at the position of delta l, and recording the initial virtual fault point as m1N is an integer part of the ratio of L to delta L, the value of delta L depends on the precision of cable parameters, required calculation precision and the like, and the value can be 1 m.
4. By means of head-to-tail voltage phasors Vh、VtCurrent phasor Ih、ItCalculating the distance line head end lfVirtual fault point m ofi(1<i<N, i is an integer) voltage phasor Vmhi、VmtiAnd clearing the current virtual fault point, wherein the calculation formula is as follows:
Figure BDA0003274954480000061
Figure BDA0003274954480000062
wherein, Vmhi、VmtiRespectively calculating virtual fault points m by using the electric quantities of the head and the tail endsiVoltage phasor of (a):
Figure BDA0003274954480000063
Figure BDA0003274954480000064
wherein, the superscript A, B, C, M represents A, B, C three-phase conductive core and armor respectively.
5. The distance l from the head end is set in sequence by taking the step length delta l as an intervalfVirtual fault point m of i Δ liAnd (5) repeating the operation of the step (4) until i is equal to N, and constructing two voltage phasor groups:
Figure BDA0003274954480000065
wherein, VmhSet of virtual fault point voltage phasors, V, derived for the head endmtFor a virtual fault point voltage phasor group calculated by the tail end, N is an integer part of the ratio of L to delta L; the value of delta l depends on the precision of the cable parameters, the required calculation precision and the like, and can be 1 m.
6. And extracting the minimum value of the absolute value of the difference between the amplitudes of the two groups of voltage phasor sequences as a judgment basis to realize fault positioning, wherein the calculation formula is as follows:
Vm(fΔl)=|Vmhf(fΔl)-Vmtf(fΔl)|=min{|Vmh-Vmt|}。
where f Δ l is the distance between the location of the fault being located and the head end.
Simulation verification
A1 km 10kV independent shielding layer three-core cable line is built based on PSCAD/EMTDC, the cable type is selected from common YJV22-3 x 400, the two ends of a cable grounding wire are grounded, and the grounding resistance R ismgThe size is 4 omega. The experimental system satisfies the structure and measurement conditions of fig. 2. The sampling frequency is set to 800Hz, and the sampling requirement can be met by common measuring equipment. Meanwhile, the positioning error is defined as:
Figure BDA0003274954480000071
wherein x iscAnd xrRespectively, the calculated and the real fault distance, l being the total cable length.
The simulation simulates common typical fault cases of three cables, namely a single-phase guide core-shielding layer short Circuit (CS), a single-phase guide core-shielding layer-armor layer short Circuit (CSM), a single-phase guide core-shielding layer-armor layer grounding short Circuit (CSMG) and a fault point transition resistance RfUniformly set to 0.1 omega, fault distance lfSet to 121m, 490m, 819m, respectively. The results of the evaluation of the three fault conditions by the method proposed by the present invention are shown in table 1. As can be seen from the table: the method provided by the invention has better positioning accuracy for different metallic single-phase insulation fault types of the cable.
TABLE 1 estimation of phase shift for different unsynchronized measured phasors
Type of failure Phase A CS B-phase CSM C-phase CSMG
True fault distance xr(m) 121 490 819
Calculating fault location xc(m) 93 484 811
Positioning error e (%) 2.8 0.6 0.8
The present invention and its embodiments have been described above, and the description is not intended to be limiting, and the drawings are only one embodiment of the present invention, and the actual structure is not limited thereto. In summary, those skilled in the art should appreciate that they can readily use the disclosed conception and specific embodiments as a basis for designing or modifying other structures for carrying out the same purposes of the present invention without departing from the spirit and scope of the invention as defined by the appended claims.

Claims (6)

1. A three-core cable single-phase fault positioning method based on a multi-conductor coupling model is characterized by comprising the following steps: the method comprises the following steps:
(1) under the normal condition of the system, obtaining the line parameters of a typical three-core cable to form an impedance matrix Z 'based on a simplified four-conductor model of the independent shielding layer three-core cable'ISAnd admittance matrix Y'IS
(2) When a cable line has a fault, the cable after the fault is extracted through the acquisition deviceVoltage phasor V at head and tail endsh、VtHead and tail end current phasor Ih、It
(3) Setting the total length L of the fault cable line as N delta L, wherein delta L is the step length and the distance between the head end of the relative cable is LfSetting an initial virtual fault point at the position of delta l, and recording the initial virtual fault point as m1
(4) For virtual failure point miFrom the voltage of the head and the tail ends, the current phasor Vh、,Vt,、Ih,、ItAnd a fault distance lfRespectively calculating to obtain voltage phasor V of corresponding virtual fault pointmhi、VmtiAnd clearing the current virtual fault point;
(5) the distance l from the head end is set in sequence by taking the step length delta l as an intervalfVirtual fault point m of i Δ li(1<i<N), repeating the operation of the step (4) to construct two groups of voltage phasor groups Vmh、Vmt
(6) And taking the element serial number with the minimum absolute value of the difference between the corresponding element amplitudes of the two groups of voltage phasor sequences as f to realize fault positioning, wherein the fault position is f delta l away from the head end.
2. The method for positioning the single-phase fault of the three-core cable based on the multi-conductor coupling model according to claim 1, wherein the method comprises the following steps: in the step (1), the impedance matrix Z'ISAnd admittance matrix Y'IS
Figure FDA0003274954470000011
Figure FDA0003274954470000012
Wherein Z isccAnd ZmmIs the self-impedance per unit length of the guide core and the armor layer; m iscmFor the mutual impedance per unit length, y, between the conductive core and the armour layerssIs the self-admittance per unit length of the metal shielding layer, ysmFor mutual admittance, y, between metallic shielding layers and armouring layers of respective phasescmFor mutual admittance, y, between the respective core and the armour layerscsFor mutual admittance of each phase core and the metal shielding layer, ymgIs the transadmittance of the armor layer to ground.
3. The method for positioning the single-phase fault of the three-core cable based on the multi-conductor coupling model according to claim 1, wherein the method comprises the following steps: in the step (2), the voltage and current phasor at two ends of the cable line after the fault are obtained from the measuring point at the head and tail ends of the fault cable line and are respectively recorded as Vh、Vt、Ih、ItIn which V ish、VtRespectively the phasor of the first and the last end voltage of the cable line after the faulth、ItRespectively the current phasor at the head end and the tail end of the cable line after the fault, Vh、Vt、Ih、ItMay be represented as follows:
Figure FDA0003274954470000021
wherein, the superscript A, B, C, M represents A, B, C three-phase conductive core and armor respectively.
4. The method for positioning the single-phase fault of the three-core cable based on the multi-conductor coupling model according to claim 1, wherein the method comprises the following steps: in the step (4), the phasor V is obtained through the end voltageh、VtCurrent phasor Ih、ItCalculating the distance line head end lfVirtual fault point m ofi(1<i<N, i is an integer) voltage phasor Vmhi、VmtiThe calculation formula is as follows:
Figure FDA0003274954470000022
Figure FDA0003274954470000023
wherein, Vmhi、VmtiRespectively calculating virtual fault points m by using the electric quantities of the head and the tail endsiVoltage phasor of (a):
Figure FDA0003274954470000024
Figure FDA0003274954470000031
5. the method for positioning the single-phase fault of the three-core cable based on the multi-conductor coupling model according to claim 1, wherein the method comprises the following steps: in the step (5), the distances l from the head end are sequentially set at intervals of the step length delta lfVirtual fault point m of i Δ liAnd (5) repeating the operation of the step (4) until i is equal to N, and constructing two voltage phasor groups:
Vmh=[Vmh1(Δl),Vmh2(2Δl),…,Vmh(N-1)((N-1)Δl)]
Vmt=[Vmt1(Δl),Vmt2(2Δl),…,Vmt(N-1)((N-1)Δl)]
wherein, VmhSet of virtual fault point voltage phasors, V, derived for the head endmtFor a virtual fault point voltage phasor group calculated by the tail end, N is an integer part of the ratio of L to delta L; the value of delta l depends on the precision of the cable parameters, the required calculation precision and the like, and can be 1 m.
6. The method for positioning the single-phase fault of the three-core cable based on the multi-conductor coupling model according to claim 1, wherein the method comprises the following steps: in the step (6), the minimum value of the absolute value of the difference between the amplitudes of the two groups of voltage phasor sequences is extracted as a judgment basis to realize fault positioning, and the calculation formula is as follows:
Vm(fΔl)=|Vmhf(fΔl)-Vmtf(fΔl)|=min{|Vmh-Vmt|}
where f Δ l is the distance between the location of the fault being located and the head end.
CN202111114314.0A 2021-09-23 2021-09-23 Three-core cable single-phase fault positioning method based on multi-conductor coupling model Pending CN113655342A (en)

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