CN111323684A - Transformer electroacoustic combined PD space positioning method based on analytic solution - Google Patents
Transformer electroacoustic combined PD space positioning method based on analytic solution Download PDFInfo
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- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
- G01R31/12—Testing 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
- G01R31/1209—Testing 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 using acoustic measurements
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- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
- G01R31/12—Testing 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
- G01R31/1227—Testing 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
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Abstract
The invention relates to a transformer electroacoustic combined PD space positioning method based on analytical solution, which comprises the following steps: 1) arranging an electric signal sensor and two ultrasonic sensors, connecting the electric signal sensor and the two ultrasonic sensors with an oscilloscope through a signal transmission coaxial cable, and setting a trigger threshold value according to field background noise; 2) selecting one end point at the bottom of the transformer as (0,0,0), and setting the width, length and height directions as x, y and z axes respectively to establish a three-dimensional rectangular coordinate; 3) solving the analytic solution of the PD coordinate y by using a position 1 working condition formula; 4) and solving the analytic solution of the PD coordinates z and x by the position 2 working condition formula, thereby realizing the space positioning of the PD. Compared with the prior art, the invention has the advantages of reducing the configuration requirement and cost of the positioning system, simplifying the workload of sensor installation and wiring in actual application and the like.
Description
Technical Field
The invention relates to a transformer electroacoustic combined PD space positioning method, in particular to a transformer electroacoustic combined PD space positioning method based on an analytic solution.
Background
Partial Discharge (PD) is the primary cause of insulation degradation of large-scale power transformers, so transformer PD tests, researches on PD source positioning, technical research and development and engineering application have far-reaching significance. PD processes generate phenomena such as electromagnetic waves, sound waves, light, heat, and chemical changes, and their localization methods include electrical localization, ultrasonic (AE) localization, optical localization, thermal localization, and DGA localization. At present, most of domestic and foreign researches and applications are mature, namely AE positioning, particularly electroacoustic combined positioning. The schematic diagram of the electroacoustic joint positioning is shown in fig. 1, and the electroacoustic joint positioning method corresponding to the form of "1 + 3", i.e. 1 electric signal sensor +3 AE sensors shown in fig. 2 is most studied and most widely used at present.
In fig. 1, an electric pulse of an electric signal (current, electromagnetic wave, etc.) sensor is used as a trigger reference, and an electric pulse waveform and an n-path AE waveform are recorded at the same time, and since the propagation speed of the electric signal (close to the speed of light) is much greater than the propagation speed of AE, T ≈ 0 and Ti≈ti-t0≈tiMeasuring the time delay T of the electric pulse and AE waveformiCan be likened to the travel time from the PD source point (x, y, z) to each AE sensor; at equivalent sound velocity VeMultiplied by the time delay TiThe spatial distance V from the discharge point to each AE sensor can be obtainedeTi. This yields the spherical equation:
in the formula: (x, y, z) is the three-dimensional rectangular coordinate of the PD source point; (x)i,yi,zi) Is the arrangement position coordinates of the ith AE sensor; t isiThe time delay value of the waveform received by the ith AE sensor relative to the electric pulse signal; i is 1,2,3, …, and n is the number of AE sensors.
Equation (1) above can be converted to the following system of equations:
in general, the formula (2) is a nonlinear equation system, and an analytic solution (closed solution) expression cannot be obtained, so that the optimal numerical solution is obtained, and the following constraint optimization problem is converted into:
in the formula: x is the number ofmax,ymax,zmaxEquivalent transformer width, length and height (m), respectively. Due to the fact that AE propagation paths are complex, equivalent sound velocity V of each patheGenerally, the propagation velocities are different and are influenced by factors such as temperature and oil pressure, and 1300m · s is taken as a variable value of the propagation velocity in practical application-1≤Ve≤1500m·s-1. As shown in formula (3) and fig. 2, at least 3 AE sensors are required in the current engineering application to accurately solve the optimal numerical solution of the spatial coordinates (x, y, z) of the PD source point inside the transformer.
At present, transformer plants have the problems of design and process defects, untight process control, insufficient design margin and the like, so that insulation defects exist in the production process. And PD generated by insulation defects is the primary reason for aggravating the aging of the oil paper insulation of the running transformer and progressing to insulation breakdown faults. Therefore, the PD test and the PD source location become the daily work of the device manufacturing plant and the device operation and maintenance unit, but the PD location solution shown in the formula (3) needs to apply least square newton iteration algorithm or intelligent algorithms such as Genetic Algorithm (GA) and Particle Swarm Optimization (PSO) to solve the optimal numerical solution of the PD source point coordinates because of the non-linear equation. The method has high requirements on general technicians, and is not beneficial to development of daily work and engineering application.
Disclosure of Invention
The invention aims to overcome the defects of the prior art and provide an analytic solution-based transformer electroacoustic combination PD space positioning method.
The purpose of the invention can be realized by the following technical scheme:
an analytic solution-based transformer electroacoustic combined PD space positioning method comprises the following steps:
1) arranging an electric signal sensor and two ultrasonic sensors, connecting the electric signal sensor and the two ultrasonic sensors with an oscilloscope through a signal transmission coaxial cable, and setting a trigger threshold value according to field background noise;
2) selecting one end point at the bottom of the transformer as (0,0,0), and the width, length and height directions as x, y and z axes respectively, establishing a three-dimensional rectangular coordinate, and obtaining a solution space x according to the equivalent width, length and height of the transformermax,ymax,zmax;
3) Solving the analytic solution of the PD coordinate y by using a position 1 working condition formula;
4) and solving the analytic solution of the PD coordinates z and x by the position 2 working condition formula, thereby realizing the space positioning of the PD.
Preferably, the electric signal sensor is a high-frequency CT Rogowski coil at a bushing end screen grounding wire, a neutral point grounding wire or an iron core grounding wire for the transformer.
Preferably, the electric signal sensor is a pre-embedded ultrahigh frequency sensor for a transformer, an oil drain valve intrusive ultrahigh frequency sensor or a dielectric window type ultrahigh frequency sensor.
Preferably, the two ultrasonic sensors are resonant lead zirconate titanate piezoelectric ceramic AE sensors with consistent operating characteristics.
Preferably, the oscilloscope is a four-channel digital oscilloscope.
Preferably, the solution of the PD coordinate y solved by the position 1 condition formula is specifically:
ultrasonic sensor S1Fixed placement, ultrasonic sensor S2Placed in position 1 with the coordinates of the two ultrasonic transducers S1(x1,y1,z1)=(0,A1,B1),S2(x2,y2,z2)=(0,A2,B1) Under the working condition of the position 1, the electric pulse triggers and simultaneously collects the electric signals and the waveform signals of 2 ultrasonic sensors, and the electroacoustic combined time delay estimation module estimates to obtain the ultrasonic sensor S1And S2Has a delay estimate of T1 1Andtwo spherical equations of the direct linear distance between the PD source and the sensor can be obtained,
Subtracting the two formulas in the formula (5) to obtain:
Wherein (x, y, z) is the three-dimensional rectangular coordinate of the PD source point, VeIs the equivalent sound velocity.
Preferably, the solution of the position 2 condition formula for solving the PD coordinates z and x is specifically:
ultrasonic sensor S1(x1,y1,z1)=(0,A1,B1) Fixed standing, ultrasonic sensor S2From position 1 toPosition 2 placement with two ultrasonic transducers having coordinates S1(x1,y1,z1)=(0,A1,B1),S2(x2,y2,z2)=(0,A1,B2) Under the working condition of the position 2, the electric pulse triggers and simultaneously collects the electric signal and two AE waveform signals, and the sensor S is estimated by the electroacoustic combined time delay estimation module1And S2Has a delay estimate of T1 2Andtwo spherical equations of the direct linear distance between the PD source and the sensor can be obtained,
subtracting the two formulas in the formula (8) to obtain:
After y and z of P (x, y, z) are obtained by (7) and (10), an ultrasonic sensor S is used1Coordinate (x)1,y1,z1)=(0,A1,B1) And the time delay estimated value is T1 1According to the linear distance spherical equation, the following can be obtained:
due to x1When the value is equal to 0, then
Preferably, the electroacoustic combined time delay estimation module performs difference calculation by using a time corresponding to the maximum amplitude of the waveform signal.
Compared with the prior art, the invention has the following advantages:
1. the space positioning of the PD source in the transformer is realized by adopting one electric signal sensor and two ultrasonic sensors, the positioning precision meets the engineering application requirement, the configuration requirement and the cost of a positioning system are reduced, and the sensor installation and wiring workload in the actual application is simplified;
2. the analytic solution solving formula of the three-dimensional coordinates of the PD source is given based on specific coordinate system design and an ultrasonic sensor arrangement mode, the analytic solution solving formula is simple and easy to understand, common technicians can master and use the analytic solution solving formula, program design and software implementation are facilitated, the problem that the existing PD positioning solution needs to solve a nonlinear equation set, particularly needs to use iterative solutions such as genetic algorithm and particle swarm algorithm, the solving result depends on initial parameter selection, and the results are different each time is solved.
Drawings
FIG. 1 is a schematic diagram of the conventional electroacoustic combination '1 + n' time difference positioning;
FIG. 2 is a schematic diagram of a conventional PD space positioning method for a transformer based on an electroacoustic combination '1 + 3' time difference positioning principle;
fig. 3 is a schematic diagram of the transformer electroacoustic combination PD spatial localization method based on analytic solution according to the present invention.
Fig. 4 is a schematic diagram of the positioning spatial position of the PD source of the transformer shown based on the analytic solution according to the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are some, not all, embodiments of the present invention. All other embodiments, which can be obtained by a person skilled in the art without any inventive step based on the embodiments of the present invention, shall fall within the scope of protection of the present invention.
The invention relates to a transformer electroacoustic combination PD space positioning method based on an analytic solution, which is a two-step method and comprises a transformer, 1 electric signal sensor, 2 ultrasonic sensors, a signal transmission coaxial cable, an oscilloscope, an electroacoustic combination time delay estimation module, an analytic solution (step 1) for solving PD coordinates y by using a position 1 working condition formula, and PD coordinates z and x (step 2) for solving a position 2 working condition formula, wherein the electroacoustic combination PD space positioning method is shown in figure 3.
The 1 electric signal sensor can be a high-frequency CT Rogowski coil at a bushing end screen grounding wire, a neutral point grounding wire or an iron core grounding wire for the transformer, and the working bandwidth is 10kHz-30 MHz; the sensor can also be a pre-embedded ultrahigh frequency sensor for a transformer, an oil drain valve invasive ultrahigh frequency sensor or a dielectric window type ultrahigh frequency sensor, the working bandwidth is 300 MHz-1500 MHz, the antenna gain is 9dBi, the SWR is less than 2.5, the maximum sensitivity is 18mm, the average sensitivity is 9.6mm, and electromagnetic wave signals generated by a coupling transformer PD.
The 2 ultrasonic sensors are resonant lead zirconate titanate piezoelectric ceramic AE sensors with consistent working characteristics, have the resonant frequency of 150kHz, and meet the requirements of the standard technical specification of the current power industry, and the peak sensitivity and the average sensitivity of 75dB and 60d in the frequency band of 20 kHz-200 kHz.
The oscilloscope is a 4-channel digital oscilloscope, and the technical parameters of each channel are not lower than 8bit of resolution, 2.5GS/s of sampling rate and 500MHz analog bandwidth.
And the electroacoustic combined time delay estimation module adopts the moment corresponding to the maximum amplitude of the waveform signal to calculate the difference value.
The position 1 working condition formula solves the analytic solution of the PD coordinate y (step 1), and the analytic solution comprises the following steps:
sensor S in FIG. 31(x1,y1,z1)=(0,A1,B1) Fixed placement, sensor S2Position 1 placement (x)2,y2,z2)=(0,A2,B1) Under the working condition of the position 1, the electric pulse triggers and simultaneously collects the electric signals and 2 AE waveform signals, and the sensor S is obtained by electroacoustic combined time delay estimation1And S2Has a delay estimate of T1 1Anddirect line of PD source and sensor can be obtainedTwo spherical equations for the distance are given,
Subtracting the two formulas in the formula (5) to obtain:
(y-A1)2-(y-A2)2=(VeT1 1)2-(VeT2 1)2=L
The position 2 working condition formula solves the analytic solution of the PD coordinates z and x (step 2), as follows:
sensor S in FIG. 31(x1,y1,z1)=(0,A1,B1) Fixed standing, sensor S2Placement from position 1 to position 2 (x)2,y2,z2)=(0,A1,B2) Under the working condition of 2 positions, electric pulse triggers and simultaneously collects electric signals and 2 AE waveform signals, and the sensor S is obtained by electroacoustic combined time delay estimation1And S2Has a delay estimate of T1 2Andtwo spherical equations of the direct linear distance between the PD source and the sensor can be obtained,
subtracting the two formulas in the formula (8) to obtain:
(z-B1)2-(z-B2)2=(VeT1 2)2-(VeT2 2)2=M
After y and z of P (x, y, z) are obtained by (7) and (10), sensor S in step 1 is used1Coordinate (x)1,y1,z1)=(0,A1,B1) And the time delay estimated value is T1 1According to the linear distance spherical equation, the following can be obtained:
due to x1When the value is equal to 0, then
The above equations (7), (10) and (12) are analytical solution solving equations of spatial coordinates (x, y, z) when PD occurs inside the transformer.
The positioning method comprises the following processes:
1. according to the positioning method shown in FIG. 3, 1 electric signal sensor and 2 AE sensors are arranged, a signal transmission coaxial cable is connected with an oscilloscope, and a trigger threshold is set according to the field background noise;
2. selecting one end point at the bottom of the transformer as (0,0,0), and the width, length and height directions as x, y and z axes respectively, establishing a three-dimensional rectangular coordinate, and obtaining a solution space x according to the equivalent width, length and height (m) of the transformermax,ymax,zmax;
3. Executing the step 1: the 2 AE sensors are arranged on a box plane with x equal to 0, and two AE sensors are arranged on a straight line with z equal to B1Obtaining a sensor S1Spatial coordinates (x)1,y1,z1)=(0,A1,B1) Sensor S2Position 1 spatial coordinate (x)2,y2,z2)=(0,A2,B1) Under the working condition of the position 1, the electric pulse trigger simultaneously acquires the electric signal and 2 AE waveform signals, and the AE sensor S is obtained by the electroacoustic combined time delay estimation1And S2Has a delay estimate of T1 1And T2 1;
4. And (3) executing the step 2: holding AE sensor S1Position (x)1,y1,z1)=(0,A1,B1) Stationary, fixed AE sensor S2From position 1 to position 2 (x)2,y2,z2)=(0,A1,B2) Namely AE sensor S1Under the working condition of 2 positions, electric pulse triggers and simultaneously collects electric signals and 2 AE waveform signals, and the AE sensor S is obtained by electroacoustic combined time delay estimation1And S2Has a delay estimate of T1 2And
5. setting 1300 m.s-1≤Ve≤1500m·s-1The PD source point coordinate (x, y, z) is resolved by a formula and calculated:
the application case is as follows:
the transformer specification (width ×, length × and height) is (3.0 × 5.0.0 5.0 × 4.0.0) m, the actual PD source coordinates are (x, y, z) (1.5,2.5,2.0) m, the electric pulse adopts the iron core neutral point grounded high-frequency Rogowski coil CT, and the coordinates of the AE sensor S are as follows:
1. step 1 is executed, two AE sensors are arranged on a straight line z of 3.2m, and S is arranged1(0.0,0.8,3.2)m、S2(0.0,3.9,3.2) m to obtain A10.8 and A23.9, time delay estimate T with electrical signal1 1=0.0018s;
2. Step 2 is executed to hold the AE sensor S1(0.0,0.8,3.2) m position fixed, AE sensor S2(0.0,0.8,1.6) m (to AE sensor S)1Right below) to obtain B13.2 and B21.6, time delay T with electrical signal1 2=0.0018s;
3. And (3) calculating an analytic solution formula: setting Ve1300 and VeThe analytical solutions under 1500 conditions are shown in table 1,
TABLE 1
Wherein the positioning precision is less than 2.00 percent, and the method meets the practical engineering application.
In practical engineering application, the transformer is disassembled, the PD source can be searched in the analytic solution positioning space shown in fig. 4, and 6 surfaces of the PD source space are Ve=1300m·s-1And Ve=1500m·s-1And (5) calculating by using a formula to obtain the analytic solution determination of x, y and z.
While the invention has been described with reference to specific embodiments, the invention is not limited thereto, and various equivalent modifications and substitutions can be easily made by those skilled in the art within the technical scope of the invention. Therefore, the protection scope of the present invention shall be subject to the protection scope of the claims.
Claims (8)
1. A transformer electroacoustic combined PD space positioning method based on analytical solution is characterized by comprising the following steps:
1) arranging an electric signal sensor and two ultrasonic sensors, connecting the electric signal sensor and the two ultrasonic sensors with an oscilloscope through a signal transmission coaxial cable, and setting a trigger threshold value according to field background noise;
2) selecting one end point at the bottom of the transformer as (0,0,0), and the width, length and height directions as x, y and z axes respectively, establishing a three-dimensional rectangular coordinate, and obtaining a solution space x according to the equivalent width, length and height of the transformermax,ymax,zmax;
3) Solving the analytic solution of the PD coordinate y by using a position 1 working condition formula;
4) and solving the analytic solution of the PD coordinates z and x by the position 2 working condition formula, thereby realizing the space positioning of the PD.
2. The analytical solution based electro-acoustic PD spatial localization method of a transformer according to claim 1, characterized in that said one electrical signal sensor is a high frequency CT Rogowski coil at the bushing end screen ground wire, the neutral point ground wire or the core ground wire of the transformer.
3. The analytical solution-based transformer-electroacoustic combined PD space positioning method as claimed in claim 1, wherein the one electrical signal sensor is a pre-embedded UHF sensor for a transformer, an oil drain valve-invasive UHF sensor or a dielectric window-type UHF sensor.
4. The analytical solution-based spatial positioning method for PD combined electroacoustic transformers according to claim 1, characterized in that the two ultrasonic sensors are resonant lead zirconate titanate piezoelectric ceramic AE sensors with consistent operating characteristics.
5. The analytical solution-based transformer-electroacoustic combination PD space positioning method as claimed in claim 1, characterized in that the oscilloscope is a four-channel digital oscilloscope.
6. The method for positioning the PD in the space based on the electroacoustic combination of the transformer of claim 1, wherein the solution of the PD coordinate y by the position 1 working condition formula is specifically as follows:
ultrasonic sensor S1Fixed placement, ultrasonic sensor S2Placed in position 1 with the coordinates of the two ultrasonic transducers S1(x1,y1,z1)=(0,A1,B1),S2(x2,y2,z2)=(0,A2,B1) Under the working condition of the position 1, the electric pulse triggers and simultaneously collects the electric signals and the waveform signals of 2 ultrasonic sensors, and the electroacoustic combined time delay estimation module estimates to obtain the ultrasonic sensor S1And S2Has a delay estimate of T1 1And T2 1Two spherical equations of the direct linear distance between the PD source and the sensor can be obtained,
Subtracting the two formulas in the formula (5) to obtain:
Wherein (x, y, z) is the three-dimensional rectangular coordinate of the PD source point, VeIs the equivalent sound velocity.
7. The method for positioning the PD in the space based on the electroacoustic combination of the transformer of claim 6, wherein the solution of the PD coordinates z and x by the position 2 working condition formula is specifically:
ultrasonic sensor S1(x1,y1,z1)=(0,A1,B1) Fixed standing, ultrasonic sensor S2From position 1 to position 2, where the coordinates of the two ultrasonic sensors are S1(x1,y1,z1)=(0,A1,B1),S2(x2,y2,z2)=(0,A1,B2) Under the working condition of the position 2, the electric pulse triggers and simultaneously collects the electric signal and two AE waveform signals, and the sensor S is estimated by the electroacoustic combined time delay estimation module1And S2Has a delay estimate of T1 2Andtwo spherical equations of the direct linear distance between the PD source and the sensor can be obtained,
subtracting the two formulas in the formula (8) to obtain:
After y and z of P (x, y, z) are obtained by (7) and (10), an ultrasonic sensor S is used1Coordinate (x)1,y1,z1)=(0,A1,B1) And the time delay estimated value is T1 1According to the linear distance spherical equation, the following can be obtained:
due to x1When the value is equal to 0, then
8. The analytical solution-based spatial positioning method for PD combined electroacoustic transformers according to claim 7, characterized in that the electroacoustic combined time delay estimation module performs difference calculation by using a time corresponding to the maximum amplitude of the waveform signal.
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WO2023274504A1 (en) * | 2021-06-29 | 2023-01-05 | Siemens Aktiengesellschaft | Locating an arc |
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