CN112014693B - Cable partial discharge positioning method and system based on wave speed uncertainty - Google Patents

Cable partial discharge positioning method and system based on wave speed uncertainty Download PDF

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CN112014693B
CN112014693B CN202010828832.8A CN202010828832A CN112014693B CN 112014693 B CN112014693 B CN 112014693B CN 202010828832 A CN202010828832 A CN 202010828832A CN 112014693 B CN112014693 B CN 112014693B
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cable
wave
positioning result
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CN112014693A (en
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储海军
陈燕擎
韩文建
刘涛
徐晴
张瑶
钱鹏
程孟晗
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China University of Mining and Technology CUMT
Jiangsu Fangtian Power Technology Co Ltd
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Jiangsu Fangtian Power Technology 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
    • G01R31/12Testing dielectric strength or breakdown voltage ; Testing or monitoring effectiveness or level of insulation, e.g. of a cable or of an apparatus, for example using partial discharge measurements; Electrostatic testing
    • G01R31/1227Testing dielectric strength or breakdown voltage ; Testing or monitoring effectiveness or level of insulation, e.g. of a cable or of an apparatus, for example using partial discharge measurements; Electrostatic testing of components, parts or materials
    • G01R31/1263Testing dielectric strength or breakdown voltage ; Testing or monitoring effectiveness or level of insulation, e.g. of a cable or of an apparatus, for example using partial discharge measurements; Electrostatic testing of components, parts or materials of solid or fluid materials, e.g. insulation films, bulk material; of semiconductors or LV electronic components or parts; of cable, line or wire insulation
    • G01R31/1272Testing dielectric strength or breakdown voltage ; Testing or monitoring effectiveness or level of insulation, e.g. of a cable or of an apparatus, for example using partial discharge measurements; Electrostatic testing of components, parts or materials of solid or fluid materials, e.g. insulation films, bulk material; of semiconductors or LV electronic components or parts; of cable, line or wire insulation of cable, line or wire insulation, e.g. using partial discharge measurements

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Abstract

The invention discloses a cable partial discharge positioning method and a system based on wave speed uncertainty, wherein the method comprises the following steps: substituting the estimated propagation velocity v of the signal into a calculation formula of a single-end method, simultaneously measuring the A and B ends of the cable by the single-end method, and recording the positioning result as X A 、X B (ii) a The positioning result X obtained by judgment A 、X B Whether the precision requirement lambda is met or not, if the precision requirement lambda is not met, calculating the compensation time d ta 、d tb And substituting the positioning result into a single-end calculation formula to obtain a positioning result X A1 、X B1 Repeatedly calculating until the precision requirement lambda is met, and outputting the corrected wave velocity v'; calculating the wave velocity modification part d va 、d vb And substituting the positioning result into a single-end calculation formula to obtain a positioning result X A2 、X B2 (ii) a Judging X again A2 、X B2 Whether the precision requirement lambda is met or not, if the precision requirement lambda is not met, calculating the compensation time d ta 、d tb And will compensate for the time d ta 、d tb Substituting into a single-end calculation formula to obtain a positioning result X An 、X Bn And repeating the calculation until the precision requirement is met.

Description

Cable partial discharge positioning method and system based on wave speed uncertainty
Technical Field
The invention relates to a cable partial discharge positioning method and system based on wave velocity uncertainty, and belongs to the technical field of cable partial discharge positioning detection.
Background
As the most convenient energy utilization mode in modern social industrial production and daily life of residents, the demand quantity is continuously increased. The power cable is generally positioned in a cable trench or deeply buried underground, and has the advantages of more flexible arrangement mode due to the fact that the power cable does not occupy the ground area and the air area, higher safety and power supply reliability, better attractiveness and the like compared with an overhead line, and is more widely applied in recent years.
However, most of cables run under severe environment conditions such as underground or cable trenches, cables which are put into use at an early stage also enter the later stage of the service life in succession, various insulation defects gradually appear, insulation breakdown is gradually caused, and huge economic loss and potential safety hazards are brought. These insulation defects are the main cause of partial discharge activity. Through the location of the local discharge source, hidden defects of the cable can be found in time, maintenance plans are reasonably arranged, the operation state of the power cable is mastered in time, and the stable operation of a power grid is guaranteed.
Disclosure of Invention
The invention aims to overcome the technical defects in the prior art, solve the problem of positioning the partial discharge of the existing power cable, and provide a method and a system for positioning and detecting the partial discharge of the cable based on wave speed uncertainty.
The invention specifically adopts the following technical scheme: the cable partial discharge positioning method based on wave speed uncertainty comprises the following steps:
step SS1: estimating the propagation speed of the partial discharge signal in the cable as v, and substituting v for vEntering a single-end method calculation formula, measuring at the two ends A and B of the cable by adopting the single-end method, and recording the positioning result as X A 、X B
Step SS2: judging the positioning result X obtained in the step SS1 A 、X B Whether the precision requirement lambda is met or not, if the precision requirement lambda is not met, the compensation time d is calculated ta 、d tb And will compensate for the time d ta 、d tb Substituting into a single-end calculation formula to obtain a positioning result X A1 、X B1 Repeating the step SS2 until the precision requirement lambda is reached, outputting the corrected wave velocity v', and transferring to the step SS3;
and step SS3: when the precision requirement lambda is met, calculating the wave speed modification part d va 、d vb And modifying the wave velocity by a portion d va 、d vb Substituting into a single-end calculation formula to obtain a positioning result X A2 、X B2
And step SS4: judging X again A2 、X B2 Whether the precision requirement lambda is met or not, if the precision requirement lambda is not met, the compensation time d is calculated ta 、d tb And will compensate for the time d ta 、d tb Substituting into a single-end calculation formula to obtain a positioning result X An 、X Bn And repeating the calculation step SS4 until the precision requirement is met.
As a preferred embodiment, the step SS1 specifically includes:
and measuring the propagation velocity v at two ends of the cable by using a single-end method, wherein the calculation formula of the single-end method is as follows:
Figure BDA0002637184470000021
Figure BDA0002637184470000022
wherein, t a1 、t a2 The times of arrival of the first and second wave heads at the A terminal, t b1 、t b2 Are respectively provided withV is the estimated propagation velocity of the partial discharge signal in the cable; l denotes the cable run length.
As a preferred embodiment, the step SS2 specifically includes:
judgment of X A 、X B The calculation formula of whether the accuracy requirement is met is as follows:
|X A +X B -L|<λ;
where L represents the cable run length and λ represents the accuracy.
As a preferred embodiment, the calculation formula of the compensation time in step SS2 is:
Figure BDA0002637184470000031
Figure BDA0002637184470000032
wherein d is ta For the A-terminal, compensate for the time, d tb For the B-side compensation time, L represents the cable run length.
As a preferred embodiment, the positioning result X in step SS2 is A1 And X B1 The calculation formula of (2) is as follows:
Figure BDA0002637184470000033
Figure BDA0002637184470000034
wherein d is ta For A-terminal compensation of time, d tb For the B-side compensation time, L represents the cable run length.
As a preferred embodiment, the wave velocity modification section d in step SS3 va And d vb The calculation formula of (c) is:
Figure BDA0002637184470000035
Figure BDA0002637184470000036
wherein v is a 、v b Respectively corresponding wave velocity of signals at the two ends A and B; d va Modifying the wave speed for the A end of the cable and d vb The portion is modified for the B-end of the cable.
As a preferred embodiment, the positioning result X in step SS3 is A2 And X B2 The calculation formula of (2) is as follows:
Figure BDA0002637184470000041
Figure BDA0002637184470000042
where v is the estimated propagation velocity of the partial discharge signal in the cable, t a1 、t a2 The times of arrival of the first and second wave heads at the A terminal, t b1 、t b2 The time of arrival of the first and second wave heads at the B terminal, respectively, and v is the estimated propagation velocity of the partial discharge signal in the cable.
As a preferred embodiment, the positioning result X in the step SS4 An And X Bn The calculation formula of (2) is as follows:
Figure BDA0002637184470000043
Figure BDA0002637184470000044
wherein v' is the corrected wave velocity.
The invention also provides a cable partial discharge positioning system based on wave speed uncertainty, which comprises the following components:
a positioning result obtaining module for executing: estimating the propagation velocity of partial discharge signal in the cable as v, substituting v into the calculation formula of single-end method, measuring at both ends A and B of the cable by using single-end method, and recording the positioning result as X A 、X B
A compensation time generation module to perform: judging the positioning result X obtained by the positioning result acquisition module A 、X B Whether the precision requirement lambda is met or not, if the precision requirement lambda is not met, the compensation time d is calculated ta 、d tb And will compensate for the time d ta 、d tb Substituting into a single-end calculation formula to obtain a positioning result X A1 、X B1 Repeatedly calculating until the precision requirement lambda is met, and outputting the corrected wave velocity v';
a wave velocity compensation generation module to perform: when the precision requirement lambda is met, calculating the wave speed modification part d va 、d vb And modifying the wave velocity by a portion d va 、d vb Substituting into a single-end calculation formula to obtain a positioning result X A2 、X B2
A positioning result generation module for performing: judge X again A2 、X B2 Whether the precision requirement lambda is met or not, if the precision requirement lambda is not met, the compensation time d is calculated ta 、d tb And will compensate for the time d ta 、d tb Substituting into a single-end calculation formula to obtain a positioning result X An 、X Bn And repeating the calculation until the precision requirement is met.
The invention has the following beneficial effects: firstly, the invention provides a method and a system for positioning and detecting partial discharge of a cable based on wave speed uncertainty aiming at solving the technical problem of the partial discharge positioning of the existing power cable, the method avoids the problem that the positioning error is larger due to improper wave speed of a selected cable partial discharge signal in the traditional positioning algorithm, and avoids the problem of synchronism existing in the positioning by a double-end method; secondly, the invention corrects the wave velocity by using the arrival time of the first-end and last-end partial discharge signals, and completes the positioning detection by using the corrected wave velocity and combining the single-end method distance measurement principle; thirdly, simulation results show that the method has low principle complexity and can quickly and reliably determine the fault point.
Drawings
FIG. 1 is a topological flow diagram of a cable partial discharge positioning method based on wave velocity uncertainty according to the present invention.
Fig. 2 is a schematic diagram of a power distribution network line topology provided with distributed measuring points in the embodiment of the invention.
Detailed Description
The invention is further described below with reference to the accompanying drawings. The following examples are only for illustrating the technical solutions of the present invention more clearly, and the protection scope of the present invention is not limited thereby.
Example 1: as shown in FIG. 1, the present invention provides a method for detecting cable partial discharge location based on wave velocity uncertainty, which includes the following four steps.
Step (1): estimating the propagation velocity of partial discharge signal in cable as v, substituting v into single-end method calculation formula, measuring at two ends by using single-end method, and recording the positioning result as X A 、X B
Figure BDA0002637184470000061
Figure BDA0002637184470000062
Wherein, t a1 、t a2 、t b1 、t b2 The time of the first wave head and the second wave head reaching the two ends A and B respectively, and v is the estimated propagation speed of the partial discharge signal in the cable.
Step (2): judgment of X A 、X B Whether the precision requirement is met, if the precision requirement is not met, | X A +X B -L | < λ, calculating the compensation time d ta 、d tb And substituting the obtained position data into a single-end calculation formula to obtain a positioning knotFruit X A1 、X B1 And repeating the calculation until the precision requirement is met:
Figure BDA0002637184470000063
Figure BDA0002637184470000064
Figure BDA0002637184470000065
Figure BDA0002637184470000066
and (3): when the accuracy requirement is met, calculating the wave speed modification part d va 、d vb Substituting the positioning result into a single-end calculation formula to obtain a positioning result X A2 、X B2
Figure BDA0002637184470000067
Figure BDA0002637184470000068
Figure BDA0002637184470000069
Figure BDA00026371844700000610
Wherein v is a 、v b The signals at the two ends correspond to wave velocities respectively.
And (4): judging X again A2 、X B2 Whether or not to meet the requirement of precisionIf the accuracy requirement is not met, calculating the compensation time d ta 、d tb And substituting the positioning result into a single-end calculation formula to obtain a positioning result X An 、X Bn . And repeating the calculation until the precision requirement is met.
Figure BDA0002637184470000071
Figure BDA0002637184470000072
Wherein v' is the corrected wave velocity.
Example 2: the invention also provides a cable partial discharge positioning system based on wave speed uncertainty, which comprises the following components:
a positioning result obtaining module for executing: estimating the propagation velocity of partial discharge signal in cable as v, substituting v into single-end method calculation formula, measuring at two ends of cable A and B by using single-end method, recording positioning result as X A 、X B
A compensation time generation module to perform: judging the positioning result X obtained by the positioning result acquisition module A 、X B Whether the precision requirement lambda is met or not, if the precision requirement lambda is not met, calculating the compensation time d ta 、d tb And will compensate for the time d ta 、d tb Substituting into a single-end calculation formula to obtain a positioning result X A1 、X B1 Repeatedly calculating until the precision requirement lambda is met, and outputting the corrected wave velocity v';
a wave velocity compensation generation module to perform: when the precision requirement lambda is met, calculating the wave speed modification part d va 、d vb And modifying the wave velocity by a portion d va 、d vb Substituting into a single-end calculation formula to obtain a positioning result X A2 、X B2
A positioning result generation module for performing: judge X again A2 、X B2 Whether the accuracy requirement lambda is met, if the accuracy requirement lambda is not metCalculating lambda, then calculating the compensation time d ta 、d tb And will compensate for the time d ta 、d tb Substituting into a single-end calculation formula to obtain a positioning result X An 、X Bn And repeating the calculation until the precision requirement is met.
In order to verify the improved single-end method partial discharge positioning method, a model shown in fig. 2 is built on a PSCAD (power system computer aided design) for simulation, the model of the cable is 64/110kV YJQ03-Z, the geometric parameters of the cable are shown in a table 1, and the total length of the cable is 1500m. The cables are crossed and interconnected once every 500m, and the metal shielding layers of the cables are grounded after three phases are connected. In the simulation model, the cable lengths A1=250m, A2=250m, B1=100m, B2=400m, and D1=500m. The position of the partial discharge source is 600m away from the left end and 900m away from the right end.
TABLE 1
Figure BDA0002637184470000081
Table 2 shows a comparison of the results of different partial discharge localization methods when the empirically estimated propagation velocity v =1.6 × 108m/s, the partial discharge source localization method based on the wave velocity uncertainty is much more accurate than the single-ended method and the double-ended method, with an error always within 0.5%.
TABLE 2
Figure BDA0002637184470000082
The above description is only a preferred embodiment of the present invention, and it should be noted that, for those skilled in the art, several modifications and variations can be made without departing from the technical principle of the present invention, and these modifications and variations should also be regarded as the protection scope of the present invention.

Claims (3)

1. The cable partial discharge positioning method based on the wave speed uncertainty is characterized by comprising the following steps of:
step SS1: estimating the propagation speed of partial discharge signal in cable as v, substituting v into single-end methodCalculating formula, measuring at both ends A and B of cable by single-end method, and recording positioning result as X A 、X B
Step SS2: judging the positioning result X obtained in the step SS1 A 、X B Whether the precision requirement lambda is met or not, if the precision requirement lambda is not met, calculating the compensation time d ta 、d tb And will compensate for the time d ta 、d tb Substituting into a single-end calculation formula to obtain a positioning result X A1 、X B1 Repeating the step SS2 until the precision requirement lambda is reached, outputting the corrected wave velocity v', and transferring to the step SS3;
and step SS3: when the precision requirement lambda is met, calculating the wave speed modification part d va 、d vb And modifying the wave velocity by a portion d va 、d vb Substituting into a single-end calculation formula to obtain a positioning result X A2 、X B2
And step SS4: judging X again A2 、X B2 Whether the precision requirement lambda is met or not, if the precision requirement lambda is not met, calculating the compensation time d ta 、d tb And will compensate for the time d ta 、d tb Substituting into a single-end calculation formula to obtain a positioning result X An 、X Bn Repeating the calculating step SS4 until the precision requirement is met;
the step SS1 specifically includes:
and measuring the propagation velocity v at two ends of the cable by using a single-end method, wherein the calculation formula of the single-end method is as follows:
Figure FDA0003951170330000011
Figure FDA0003951170330000012
wherein, t a1 、t a2 The times of arrival of the first and second wave heads at the A terminal, t b1 、t b2 Respectively a first and a second wave headThe time of arrival at the B end, v is the estimated propagation speed of the partial discharge signal in the cable; l represents a cable run length;
the calculation formula of the compensation time in the step SS2 is as follows:
Figure FDA0003951170330000021
Figure FDA0003951170330000022
wherein, d ta For A-terminal compensation of time, d tb Compensating time for the B end, wherein L represents the length of a cable line;
positioning result X in the step SS2 A1 And X B1 The calculation formula of (2) is as follows:
Figure FDA0003951170330000023
Figure FDA0003951170330000024
wherein, d ta For the A-terminal, compensate for the time, d tb Compensating time for the B end, wherein L represents the length of a cable line;
the wave velocity modification section d in the step SS3 va And d vb The calculation formula of (2) is as follows:
Figure FDA0003951170330000025
Figure FDA0003951170330000026
wherein v is a 、v b Are respectively A and BSignals at two ends correspond to wave velocity; d va Modifying the wave speed for the A end of the cable and d vb A wave speed modification part at the B end of the cable;
positioning result X in the step SS3 A2 And X B2 The calculation formula of (2) is as follows:
Figure FDA0003951170330000027
Figure FDA0003951170330000028
where v is the estimated propagation velocity of the partial discharge signal in the cable, t a1 、t a2 The times of arrival of the first and second wave heads at the A terminal, t b1 、t b2 The time of the first wave head and the time of the second wave head reaching the B end are respectively;
positioning result X in the step SS4 An And X Bn The calculation formula of (2) is as follows:
Figure FDA0003951170330000031
Figure FDA0003951170330000032
wherein v' is the corrected wave velocity.
2. The method for locating partial discharge of cable according to claim 1, wherein the step SS2 specifically includes:
judgment of X A 、X B The calculation formula of whether the accuracy requirement is met is as follows:
|X A +X B -L|<λ;
where L represents the cable run length and λ represents the accuracy.
3. Cable partial discharge positioning system based on wave speed uncertainty, characterized in that includes:
a positioning result obtaining module for executing: estimating the propagation velocity of partial discharge signal in cable as v, substituting v into single-end method calculation formula, measuring at two ends of cable A and B by using single-end method, recording positioning result as X A 、X B
A compensation time generation module to perform: judging the positioning result X obtained by the positioning result acquisition module A 、X B Whether the precision requirement lambda is met or not, if the precision requirement lambda is not met, the compensation time d is calculated ta 、d tb And will compensate for the time d ta 、d tb Substituting into a single-end calculation formula to obtain a positioning result X A1 、X B1 Repeatedly calculating until the precision requirement lambda is met, and outputting the corrected wave velocity v';
a wave velocity compensation generation module to perform: when the precision requirement lambda is met, calculating the wave speed modification part d va 、d vb And modifying the wave velocity by a portion d va 、d vb Substituting into a single-end calculation formula to obtain a positioning result X A2 、X B2
A positioning result generation module for performing: judge X again A2 、X B2 Whether the precision requirement lambda is met or not, if the precision requirement lambda is not met, calculating the compensation time d ta 、d tb And will compensate for the time d ta 、d tb Substituting into a single-end calculation formula to obtain a positioning result X An 、X Bn Repeating the calculation until the precision requirement is met;
and measuring the propagation velocity v at two ends of the cable by using a single-end method, wherein the calculation formula of the single-end method is as follows:
Figure FDA0003951170330000041
Figure FDA0003951170330000042
wherein, t a1 、t a2 The times of arrival of the first and second wave heads at the A terminal, t b1 、t b2 Respectively the time of the first wave head and the second wave head to reach the end B, and v is the estimated propagation speed of the partial discharge signal in the cable; l represents a cable run length;
the formula for calculating the compensation time is as follows:
Figure FDA0003951170330000043
Figure FDA0003951170330000044
wherein, d ta For the A-terminal, compensate for the time, d tb Compensating time for the B end, wherein L represents the length of a cable line;
positioning result X A1 And X B1 The calculation formula of (c) is:
Figure FDA0003951170330000045
Figure FDA0003951170330000046
wherein d is ta For A-terminal compensation of time, d tb Compensating time for the B end, wherein L represents the length of a cable line;
wave velocity modifying section d va And d vb The calculation formula of (2) is as follows:
Figure FDA0003951170330000047
Figure FDA0003951170330000048
wherein v is a 、v b Respectively corresponding wave velocity of signals at the two ends A and B; d va Modifying the wave speed for the A end of the cable and d vb A wave speed modification part at the B end of the cable;
positioning result X A2 And X B2 The calculation formula of (c) is:
Figure FDA0003951170330000051
Figure FDA0003951170330000052
where v is the estimated propagation velocity of the partial discharge signal in the cable, t a1 、t a2 The times of arrival of the first and second wave heads at the A terminal, t b1 、t b2 The time of the first wave head and the time of the second wave head reaching the B end are respectively;
positioning result X An And X Bn The calculation formula of (2) is as follows:
Figure FDA0003951170330000053
Figure FDA0003951170330000054
wherein v' is the corrected wave velocity.
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