CN108490325B - Two-section type transformer substation partial discharge signal positioning method and system - Google Patents

Two-section type transformer substation partial discharge signal positioning method and system Download PDF

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CN108490325B
CN108490325B CN201810322254.3A CN201810322254A CN108490325B CN 108490325 B CN108490325 B CN 108490325B CN 201810322254 A CN201810322254 A CN 201810322254A CN 108490325 B CN108490325 B CN 108490325B
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partial discharge
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罗林根
李臻
周南
盛戈皞
钱勇
刘亚东
宋辉
江秀臣
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Shanghai Jiaotong University
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Abstract

The invention discloses a two-section type transformer substation partial discharge signal positioning method, which comprises the following steps: (1) constructing a matrix psi for simulating the intensity distribution characteristics of the partial discharge signals; (2) clustering the simulated partial discharge intensity characteristic vectors in the simulated partial discharge signal intensity distribution characteristic matrix to obtain C classes; (3) when partial discharge actually occurs, acquiring partial discharge signals by adopting n ultrahigh frequency sensors and obtaining corresponding actually-measured partial discharge intensity characteristic vectors; (4) the local discharge signal is preliminarily positioned to reduce the positioning range; (5) and in the reduced range, accurately positioning the local discharge signal by adopting a compressed sensing algorithm. In addition, the invention also discloses a two-section type transformer substation partial discharge signal positioning system. The positioning method and the positioning system have the advantages of low measurement difficulty, low requirement on equipment hardware and high positioning precision, and effectively reduce the cost of power equipment while ensuring high positioning precision.

Description

Two-section type transformer substation partial discharge signal positioning method and system
Technical Field
The present invention relates to a positioning method and system, and more particularly, to a positioning method and system for partial discharge signals.
Background
Reliability is a fundamental requirement of power systems. However, some faults are inevitably generated in the operation process of the power system, especially in a substation with a high voltage class, the insulation performance of the equipment may be reduced due to the defects of the power equipment and some external reasons, and then insulation breakdown is caused under the action of high voltage, thereby generating serious consequences. Therefore, the insulation performance of the power equipment of the transformer substation is monitored very importantly, and the reduction of the insulation performance of the power equipment is usually represented by the occurrence of partial discharge, so that the insulation defect of the power equipment in the transformer substation can be quickly and accurately found out by effective partial discharge positioning, the overhauling efficiency is improved, the occurrence of major accidents is avoided, and the method is a safe, reliable and powerful guarantee for a power system.
Due to the fact that signals such as heat, light, ultrasonic waves and Ultra-high frequency (UHF) electromagnetic wave signals are generated when partial discharge occurs, various methods for positioning the partial discharge position of the substation power equipment have been developed, wherein commonly used positioning methods include an ultrasonic method and an UHF method.
The ultrasonic method for positioning the ultrasonic signal has high positioning accuracy, but the ultrasonic signal is attenuated quickly, so that the method is difficult to measure. The ultrahigh frequency method for positioning the ultrahigh frequency electromagnetic wave signals is suitable for positioning the partial discharge of the transformer substation because the ultrahigh frequency electromagnetic waves have good anti-interference performance, stability, sensitivity and propagation speed. Currently, the commonly used ultrahigh frequency methods include time difference methods and angle measurement methods. The time difference method requires high-precision time synchronization between the ultrahigh frequency sensor and the signal acquisition system, so that the hardware cost is high and the application is difficult. The angle measurement method is easily influenced by Non-Line-of-Sight (NLOS for short), and is not suitable for positioning partial discharge in a transformer substation.
Based on the positioning method, the positioning method for the partial discharge signals of the transformer substation is expected to be obtained, the measurement difficulty of the positioning method is low, the requirement on equipment hardware is low, the positioning cost of the power equipment is effectively reduced while high positioning precision is ensured, the detection and maintenance efficiency of the power equipment is greatly improved, and the safe and stable operation of a power system is powerfully ensured.
Disclosure of Invention
One of the purposes of the invention is to provide a two-stage type transformer substation partial discharge signal positioning method, which has the advantages of low measurement difficulty and low requirement on equipment hardware in the process of positioning a partial discharge signal by the two-stage type transformer substation partial discharge signal positioning method.
Based on the purpose, the invention provides a two-section type transformer substation partial discharge signal positioning method, which comprises the following steps:
(1) constructing a matrix psi for simulating the intensity distribution characteristics of the partial discharge signals;
(2) clustering the simulated partial discharge intensity characteristic vectors in the simulated partial discharge signal intensity distribution characteristic matrix to obtain C classes;
(3) when partial discharge actually occurs, n ultrahigh frequency sensors are adopted to collect partial discharge signals and obtain corresponding actually-measured partial discharge intensity characteristic vectors
Figure BDA0001625596070000021
(4) The local discharge signal is preliminarily positioned to reduce the positioning range: the actually measured partial discharge intensity characteristic vector rPDInput into the following formula:
Figure BDA0001625596070000022
wherein the content of the first and second substances,
Figure BDA0001625596070000023
the average value of the characteristic vectors of the simulated partial discharge intensity in the g-th class;
solving the class with the minimum value in the formula, and forming a reduced analog partial discharge signal intensity distribution characteristic matrix psi' by all the analog partial discharge intensity characteristic vectors in the class;
(5) and in the reduced range, accurately positioning the local discharge signal by adopting a compressed sensing algorithm.
In order to quickly and efficiently locate the partial discharge signal when partial discharge occurs, the two-section type transformer substation partial discharge signal locating method provided by the invention is characterized in that a simulated partial discharge signal intensity distribution characteristic matrix is constructed, then clustering is carried out by depending on the simulated partial discharge signal intensity distribution characteristic matrix, when the partial discharge actually occurs, a two-section type method is adopted to locate the partial discharge point, namely, initial location is carried out through class identification to narrow a locating range, and then a compressed sensing algorithm is adopted to accurately locate the partial discharge signal within the narrowed range.
In step (3), since the obtained reduced simulated partial discharge signal intensity distribution characteristic matrix Ψ' includes a significantly smaller number of measurement points than the simulated partial discharge signal intensity distribution characteristic matrix Ψ, the initial positioning significantly reduces the positioning range.
And due to the adoption of
Figure BDA0001625596070000031
Solving the class with the minimum value in the formula, and then performing accurate positioning by adopting a compressed sensing algorithm, so that the accuracy of the final positioning result is very high, namely, the result obtained in the initial positioning is the class of the adjacent position of the correct class even if the result is not the correct class, and the error of the positioning result obtained in the accurate positioning is not too large, therefore, the formula in the step (3) is
Figure BDA0001625596070000032
And the function of controlling the positioning error range is also realized.
Further, in the two-stage substation partial discharge signal positioning method according to the present invention, step (1) further includes the steps of:
selecting N measuring points in the measured area, and recording the measuring points as RPj(j-1, 2, … …, N), using an analogue partial discharge source at each measurement pointElectrically, n ultrahigh frequency sensors are arranged around the measured area to measure the intensity of the simulated partial discharge signal of each measuring point, and any ultrahigh frequency sensor is marked as APi(i ═ 1,2,3,4 … …, n); if superfrequency sensor APiMeasured measurement point RPjThe simulated partial discharge intensity value of
Figure BDA0001625596070000033
Then the point RP is measuredjAnalog partial discharge intensity characteristic vector r ofjComprises the following steps:
Figure BDA0001625596070000034
the simulated partial discharge intensity characteristic vectors of all the measurement points form a simulated partial discharge signal intensity distribution characteristic matrix Ψ of the measured area:
Figure BDA0001625596070000035
further, in the two-stage substation partial discharge signal positioning method of the present invention, a K-means clustering algorithm is adopted in the step (2) to cluster the simulated partial discharge intensity characteristic vectors in the simulated partial discharge signal intensity distribution characteristic matrix.
Further, in the two-stage substation partial discharge signal positioning method of the present invention, in the step (5), the formula r is obtainedjS in Ψ' S, which is the precise positioning result of the partial discharge signal.
Further, in the two-stage substation partial discharge signal positioning method according to the present invention, the step of obtaining S includes:
will be the formula rjConversion of Ψ' S to Φ rjSolving the next step by phi psi' S, wherein phi is a measurement matrix which is a random matrix;
by solving for the minimum l1The norm model yields S:
S=argmin||S||1s.t.Φrj=ΦΨ'S。
further, in the two-segment substation partial discharge signal positioning method, an orthogonal matching pursuit algorithm is adopted to solve S ═ argmin | | S | | ventilated eyes1s.t.Φrj=ΦΨ'S。
Further, in the two-stage substation partial discharge signal positioning method according to the present invention, the n uhf sensors are set as 4 uhf sensors.
Correspondingly, the invention also aims to provide a two-stage type transformer substation partial discharge signal positioning system which has the advantages of low measurement difficulty and low requirement on equipment hardware, effectively reduces the positioning cost of the power equipment while ensuring high positioning precision, greatly improves the detection and maintenance efficiency of the power equipment, and powerfully ensures the safe and stable operation of a power system.
Based on the above purpose, the present invention further provides a two-stage type transformer substation partial discharge signal positioning system, which includes: the system comprises n ultrahigh frequency sensors and a processing unit in data connection with the n ultrahigh frequency sensors; wherein:
the processing unit constructs a simulated partial discharge signal intensity distribution characteristic matrix psi based on the simulated partial discharge signals transmitted by the n ultrahigh frequency sensors;
the processing unit clusters the simulated partial discharge intensity characteristic vectors in the simulated partial discharge signal intensity distribution characteristic matrix to obtain C classes;
when partial discharge actually occurs, the n ultrahigh frequency sensors are adopted to collect partial discharge signals, and the processing unit obtains corresponding actually-measured partial discharge intensity characteristic vectors based on the partial discharge signals
Figure BDA0001625596070000041
The processing unit carries out preliminary positioning on the local discharge signal so as to reduce the positioning range: the actually measured partial discharge intensity characteristic vector rPDInput into the following formula:
Figure BDA0001625596070000042
wherein the content of the first and second substances,
Figure BDA0001625596070000043
the average value of the characteristic vectors of the simulated partial discharge intensity in the g-th class;
solving the class with the minimum value in the formula, and forming a reduced analog partial discharge signal intensity distribution characteristic matrix psi' by all the analog partial discharge intensity characteristic vectors in the class;
and in the reduced range, the processing model element adopts a compressed sensing algorithm to accurately position the local discharge signal.
Further, in the two-stage substation partial discharge signal positioning system according to the present invention, the step of constructing the simulated partial discharge signal intensity distribution characteristic matrix Ψ by the processing unit based on the simulated partial discharge signals transmitted by the n uhf sensors includes:
selecting N measuring points in the measured area, and recording the measuring points as RPj(j ═ 1,2, … …, N), using an analog partial discharge source to discharge at each measurement point, placing N uhf sensors around the area under test to measure the analog partial discharge signal intensity at each measurement point, and recording any one of the uhf sensors as APi(i ═ 1,2,3,4 … …, n); if superfrequency sensor APiMeasured measurement point RPjThe simulated partial discharge intensity value of
Figure BDA0001625596070000051
Then the point RP is measuredjAnalog partial discharge intensity characteristic vector r ofjComprises the following steps:
Figure BDA0001625596070000052
where T denotes the transpose of the vector, which is a common symbol in the art.
The simulated partial discharge intensity characteristic vectors of all the measurement points form a simulated partial discharge signal intensity distribution characteristic matrix Ψ of the measured area:
Figure BDA0001625596070000053
further, in the two-stage substation partial discharge signal positioning system, a router is connected between the ultrahigh frequency sensor and the processing unit.
Further, in the two-stage substation partial discharge signal positioning system, the ultrahigh frequency sensor is an ultrahigh frequency wireless sensor.
In order to facilitate data transmission and transmission, it is preferable in this case that the partial discharge signal collected by the ultrahigh frequency wireless sensor is wirelessly transmitted.
In the process of positioning the partial discharge signal by the two-section type transformer substation partial discharge signal positioning method, the two-section type transformer substation partial discharge signal positioning method has the advantages of low measurement difficulty and low requirement on equipment hardware.
In addition, the two-section type transformer substation partial discharge signal positioning system also has the advantages.
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Fig. 1 is a schematic flow chart of a two-stage substation partial discharge signal positioning method according to an embodiment of the present invention.
Fig. 2 shows an arrangement of the two-stage substation partial discharge signal positioning system according to an embodiment of the present invention.
Fig. 3 shows a clustering result of the two-stage substation partial discharge signal positioning system according to an embodiment of the present invention.
Detailed Description
The method and system for locating partial discharge signals of a two-stage substation according to the present invention will be further explained and explained with reference to the drawings and specific embodiments of the specification, but the explanation and explanation do not unduly limit the technical solution of the present invention.
Fig. 1 is a schematic flow chart of a two-stage substation partial discharge signal positioning method according to an embodiment of the present invention.
As shown in fig. 1, in the two-stage substation partial discharge signal positioning method according to the embodiment, firstly, the ultrahigh frequency sensor AP is used1、AP2、AP3And AP4Acquiring partial discharge signals generated by a simulated partial discharge source to construct a simulated partial discharge signal intensity distribution characteristic matrix psi, then clustering simulated partial discharge intensity characteristic vectors in the simulated partial discharge signal intensity distribution characteristic matrix to obtain C classes, and in an actual measurement stage, using an ultrahigh frequency sensor AP to perform sampling to obtain a plurality of classes1、AP2、AP3And AP4Collecting partial discharge signals and obtaining corresponding actually-measured partial discharge intensity characteristic vectors
Figure BDA0001625596070000061
Then, according to class identification, initial positioning is carried out to narrow the positioning range, specifically: the actually measured partial discharge intensity characteristic vector rPDInput into the following formula:
Figure BDA0001625596070000062
wherein the content of the first and second substances,
Figure BDA0001625596070000063
the average value of the characteristic vectors of the simulated partial discharge intensity in the g-th class;
solving the class with the smallest value in the above equation, all the simulated partial discharge intensity characteristic vectors in this class form the reduced simulated partial discharge signal intensity distribution characteristic matrix Ψ'.
Finally, in the reduced range, the local discharge signal is accurately positioned by adopting compressed sensing, and a positioning result is obtained, namely the position where the local discharge actually occurs is determined.
When constructing the matrix Ψ simulating the intensity distribution of the partial discharge signal, 4 uhf sensors are used in this embodiment, but in other embodiments, several uhf sensors may also be used, for example, N measurement points are selected in the measured area, and the measurement points are denoted as RPj(j ═ 1,2, … …, N), using an analog partial discharge source to discharge at each measurement point, placing N uhf sensors around the area under test to measure the analog partial discharge signal intensity at each measurement point, and recording any one of the uhf sensors as APi(i ═ 1,2,3,4 … …, n); if superfrequency sensor APiMeasured measurement point RPjThe simulated partial discharge intensity value of
Figure BDA0001625596070000071
Then the point RP is measuredjAnalog partial discharge intensity characteristic vector r ofjComprises the following steps:
Figure BDA0001625596070000072
the simulated partial discharge intensity characteristic vectors of all the measurement points form a simulated partial discharge signal intensity distribution characteristic matrix Ψ of the measured area:
Figure BDA0001625596070000073
the analog partial discharge intensity characteristic vectors in the analog partial discharge signal intensity distribution characteristic matrix are clustered, and the analog partial discharge intensity characteristic vectors in the analog partial discharge signal intensity distribution characteristic matrix can be clustered by adopting a K-means clustering algorithm.
And when the local discharge signal is accurately positioned by adopting a compressed sensing algorithm, the formula r can be solvedjS in Ψ' S, which is the precise positioning result of the partial discharge signal. The step of obtaining S comprises the following steps:
will be the formula rjConversion of Ψ' S to Φ rjThe next solution is performed at phi psi' S, where phi is the measurement matrix, which isA random matrix;
by solving for the minimum l1The norm model yields S:
S=argmin||S||1s.t.Φrj=ΦΨ'S。
finally, solving S | | | S | | non-conducting phosphor by adopting orthogonal matching pursuit algorithm1s.t.Φrj=ΦΨ'S。
In this embodiment, the uhf sensor is an uhf wireless sensor, so that transmission of the partial discharge signal collected by the uhf sensor is facilitated, and the analog partial discharge source may perform processing simulation by a processing unit, such as a computer.
Fig. 2 shows an arrangement of the two-stage substation partial discharge signal positioning system according to an embodiment of the present invention.
As shown in fig. 2, in the present embodiment, the two-stage substation partial discharge signal positioning system includes four ultrahigh frequency sensors AP1、AP2、AP3、AP4And the processing unit is in data connection with the four ultrahigh frequency sensors, wherein a router is connected between the ultrahigh frequency sensors and the processing unit to realize data transmission.
During testing, the test area is a square area with 24m × 24m (in the figure, L1 represents the side length of the square area, and L1 is 24m), and four ultrahigh frequency sensors AP are arranged at four corners of the square area1、AP2、AP3And AP4To facilitate the representation of the orientation, a planar rectangular coordinate system, AP, is established3The coordinates in the coordinate system are (1,1), AP4Coordinates in the coordinate system are (25,1), AP1Coordinates in the coordinate system are (25,25), AP2The coordinates in the coordinate system are (1,25), and 625 test points P are uniformly distributed in a square area, the interval L2 between two adjacent test points P in the X-axis direction or the straight line direction parallel thereto is 1m, and the interval L3 between two adjacent test points P in the Y-axis direction or the straight line direction parallel thereto is also 1 m.
Let measurement point P denote RPj(j is 1,2, … …, N), and in this embodiment N is 625, and an analog partial discharge source is usedDischarging at each measuring point, placing n ultrahigh frequency sensors around the measured area to measure the intensity of the simulated partial discharge signal of each measuring point, and recording any ultrahigh frequency sensor as APi(i ═ 1,2,3,4 … …, n), where n is 4 in this embodiment; if superfrequency sensor APiMeasured measurement point RPjThe simulated partial discharge intensity value of
Figure BDA0001625596070000081
Then the point RP is measuredjAnalog partial discharge intensity characteristic vector r ofjComprises the following steps:
Figure BDA0001625596070000082
the simulated partial discharge intensity characteristic vectors of all the measurement points form a simulated partial discharge signal intensity distribution characteristic matrix Ψ of the measured area:
Figure BDA0001625596070000083
and then clustering the simulated partial discharge intensity characteristic vectors in the simulated partial discharge signal intensity distribution characteristic matrix by the processing unit to obtain C classes, wherein the clustering result can refer to fig. 3. Fig. 3 shows a clustering result of the two-stage substation partial discharge signal positioning method according to an embodiment of the present invention.
As shown in fig. 3, in the present embodiment, each of the 21 classes (i.e., C is 21) includes 30 analog partial discharge intensity characteristic vectors on average, and it can be seen from fig. 3 that most of the classes are very compact, so as to illustrate the measurement point P at a closer spatial position, and the corresponding characteristic vectors are also similar. It should be noted that X, Y in fig. 3 indicates the X axis and the Y axis corresponding to the X axis and the Y axis in fig. 2, and 5, 10, 15, 20, and 25 in fig. 3 are also coordinates of the measurement points corresponding to the coordinate points in fig. 2.
When partial discharge actually occurs, n ultrahigh frequency sensors are adopted to collect partial discharge signals and process the partial discharge signalsBased on these partial discharge signals, corresponding measured partial discharge intensity characteristic vector is obtained
Figure BDA0001625596070000091
The processing unit carries out preliminary positioning on the local discharge signal so as to reduce the positioning range: the actually measured partial discharge intensity characteristic vector rPDInput into the following formula:
Figure BDA0001625596070000092
wherein the content of the first and second substances,
Figure BDA0001625596070000093
the average value of the characteristic vectors of the simulated partial discharge intensity in the g-th class;
solving the class with the minimum value in the formula, and forming a reduced analog partial discharge signal intensity distribution characteristic matrix psi' by all the analog partial discharge intensity characteristic vectors in the class;
and in the reduced range, the processing model element adopts a compressed sensing algorithm to accurately position the local discharge signal.
In order to verify the positioning effect of the two-segment type transformer substation partial discharge signal positioning system, each test point in a test area is measured by the two-segment type transformer substation partial discharge signal positioning method, the time difference method and the angle measurement method in the prior art, and error statistics is performed on a numerical value obtained by measurement and coordinate data of actual partial discharge, and the result is shown in table 1.
Table 1.
Figure BDA0001625596070000094
Figure BDA0001625596070000101
It can be seen from table 1 that the two-stage partial discharge signal method of the transformer substation of the present application has an average positioning error of 1.35 m and an error of less than 3m of 83.1%, which is far superior to the measurement performed by the time difference method and the angle measurement method of the prior art, and illustrates that the positioning accuracy of the two-stage partial discharge signal method of the transformer substation completely meets the practical application requirements, because the present application constructs a simulated partial discharge signal intensity distribution characteristic matrix, clusters based on the simulated partial discharge signal intensity distribution characteristic matrix, positions the partial discharge point by using the two-stage method when the partial discharge actually occurs, that is, initially positions by class identification to narrow the positioning range, and then precisely positions the partial discharge signal by using a compressed sensing algorithm within the narrowed range, therefore, compared with a time difference method and an angle measurement method in the prior art, the positioning precision of the scheme is higher, the hardware cost is lower, the monitoring and overhauling efficiency of the power equipment of the transformer substation is effectively improved, and the safe and stable operation of a power system is guaranteed. In addition, because the data transmission of the ultrahigh frequency sensor and the processing unit is in a wireless mode, the partial discharge positioning process is simpler, and a scheme is provided for intellectualization of monitoring of the power equipment of the transformer substation.
It should be noted that the prior art in the protection scope of the present invention is not limited to the examples given in the present application, and all the prior art which is not inconsistent with the technical scheme of the present invention, including but not limited to the prior patent documents, the prior publications and the like, can be included in the protection scope of the present invention.
In addition, the combination of the features in the present application is not limited to the combination described in the claims of the present application or the combination described in the embodiments, and all the features described in the present application may be freely combined or combined in any manner unless contradictory to each other.
It should also be noted that the above-mentioned embodiments are only specific embodiments of the present invention. It is apparent that the present invention is not limited to the above embodiments and similar changes or modifications can be easily made by those skilled in the art from the disclosure of the present invention and shall fall within the scope of the present invention.

Claims (11)

1. A two-section type transformer substation partial discharge signal positioning method comprises the following steps:
(1) constructing a matrix psi for simulating the intensity distribution characteristics of the partial discharge signals;
(2) clustering the simulated partial discharge intensity characteristic vectors in the simulated partial discharge signal intensity distribution characteristic matrix to obtain C classes;
(3) when partial discharge actually occurs, n ultrahigh frequency sensors are adopted to collect partial discharge signals and obtain corresponding actually-measured partial discharge intensity characteristic vectors
Figure FDA0002286894510000011
(4) The local discharge signal is preliminarily positioned to reduce the positioning range: the actually measured partial discharge intensity characteristic vector rPDInput into the following formula:
Figure FDA0002286894510000012
wherein the content of the first and second substances,
Figure FDA0002286894510000013
the average value of the characteristic vectors of the simulated partial discharge intensity in the g-th class;
solving the class with the minimum value in the formula, and forming a reduced analog partial discharge signal intensity distribution characteristic matrix psi' by all the analog partial discharge intensity characteristic vectors in the class;
(5) and in the reduced range, accurately positioning the local discharge signal by adopting a compressed sensing algorithm.
2. The two-stage substation partial discharge signal positioning method according to claim 1, wherein step (1) further comprises the steps of:
selecting N measuring points in the measured area, and recording the measuring points as RPj(j=1,2,……,N) Discharging at each measuring point by using an analog partial discharge source, placing n ultrahigh frequency sensors around a measured area to measure the analog partial discharge signal intensity of each measuring point, and recording any ultrahigh frequency sensor as APi(i ═ 1,2,3,4 … …, n); if superfrequency sensor APiMeasured measurement point RPjThe simulated partial discharge intensity value of
Figure FDA0002286894510000014
Then the point RP is measuredjAnalog partial discharge intensity characteristic vector r ofjComprises the following steps:
Figure FDA0002286894510000015
the simulated partial discharge intensity characteristic vectors of all the measurement points form a simulated partial discharge signal intensity distribution characteristic matrix Ψ of the measured area:
Figure FDA0002286894510000021
3. the two-stage substation partial discharge signal positioning method according to claim 2, wherein in step (2), a K-means clustering algorithm is used to cluster the simulated partial discharge intensity characteristic vectors in the simulated partial discharge signal intensity distribution characteristic matrix.
4. The two-stage substation partial discharge signal positioning method according to claim 2, wherein in step (5), the formula r is obtainedjS in Ψ' S, which is the precise positioning result of the partial discharge signal.
5. The two-stage substation partial discharge signal positioning method according to claim 4, wherein the step of obtaining S comprises:
will be the formula rjConversion of Ψ' S to Φ rjSolving the next step by phi psi' S, wherein phi is a measurement matrix which is a random matrix;
by solving for the minimum l1The norm model yields S:
S=argmin||S||1s.t.Φrj=ΦΨ'S。
6. the two-stage substation partial discharge signal positioning method according to claim 5, wherein an orthogonal matching pursuit algorithm is used to solve S argmin | | S | | ventilated voice1s.t.Φrj=ΦΨ'S。
7. The two-stage substation partial discharge signal positioning method according to claim 1, wherein said n uhf sensors are provided as 4 uhf sensors.
8. The utility model provides a two segmentation transformer substation partial discharge signal positioning system which characterized in that includes: the system comprises n ultrahigh frequency sensors and a processing unit in data connection with the n ultrahigh frequency sensors; wherein:
the processing unit constructs a simulated partial discharge signal intensity distribution characteristic matrix psi based on the simulated partial discharge signals transmitted by the n ultrahigh frequency sensors;
the processing unit clusters the simulated partial discharge intensity characteristic vectors in the simulated partial discharge signal intensity distribution characteristic matrix to obtain C classes;
when partial discharge actually occurs, the n ultrahigh frequency sensors are adopted to collect partial discharge signals, and the processing unit obtains corresponding actually-measured partial discharge intensity characteristic vectors based on the partial discharge signals
Figure FDA0002286894510000022
The processing unit carries out preliminary positioning on the local discharge signal so as to reduce the positioning range: the actually measured partial discharge intensity characteristic vector rPDInput into the following formula:
Figure FDA0002286894510000031
wherein the content of the first and second substances,
Figure FDA0002286894510000032
the average value of the characteristic vectors of the simulated partial discharge intensity in the g-th class;
solving the class with the minimum value in the formula, and forming a reduced analog partial discharge signal intensity distribution characteristic matrix psi' by all the analog partial discharge intensity characteristic vectors in the class;
and in the reduced range, the processing model element adopts a compressed sensing algorithm to accurately position the local discharge signal.
9. The two-stage substation partial discharge signal positioning system of claim 8, wherein the processing unit constructing the simulated partial discharge signal intensity distribution characteristic matrix Ψ based on the simulated partial discharge signals transmitted by the n uhf sensors comprises the steps of:
selecting N measuring points in the measured area, and recording the measuring points as RPj(j ═ 1,2, … …, N), using an analog partial discharge source to discharge at each measurement point, placing N uhf sensors around the area under test to measure the analog partial discharge signal intensity at each measurement point, and recording any one of the uhf sensors as APi(i ═ 1,2,3,4 … …, n); if superfrequency sensor APiMeasured measurement point RPjThe simulated partial discharge intensity value of
Figure FDA0002286894510000035
Then the point RP is measuredjAnalog partial discharge intensity characteristic vector r ofjComprises the following steps:
Figure FDA0002286894510000033
the simulated partial discharge intensity characteristic vectors of all the measurement points form a simulated partial discharge signal intensity distribution characteristic matrix Ψ of the measured area:
Figure FDA0002286894510000034
10. the two-stage substation partial discharge signal positioning system of claim 8, wherein a router is connected between the uhf sensor and the processing unit.
11. The two-stage substation partial discharge signal locating system of claim 8, wherein the uhf sensor is an uhf wireless sensor.
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