CN112068064B - Method for calculating errors of operation three-phase voltage transformer with background influence subtracted - Google Patents
Method for calculating errors of operation three-phase voltage transformer with background influence subtracted Download PDFInfo
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Abstract
A method for calculating errors of an operation three-phase voltage transformer with background influence subtracted comprises the following steps: collecting three-phase signals of metering windings of two groups of operation three-phase voltage transformers to obtain a data matrix X collected by the two groups of three-phase voltage transformers 1 、X 2 The two groups of three-phase voltage transformers are operated at the same voltage level, and the three-phase signals of the two groups of three-phase voltage transformers are in-phase sequence three-phase voltage equal proportion change signals; for two groups of three-phase signal data matrix X 1 、X 2 Performing data processing, and subtracting the processed two groups of three-phase voltages to obtain difference data X; carrying out analysis and calculation of an optimization principal component by using the difference data X to obtain statistics of weighted mean deviation square sum Q of the effect quantity; judging the abnormality of the three-phase voltage transformer by using the Q statistic; the application improves the error calculation difference of the original voltage transformer in the running process from the thousandth position to the thousandth position, and improves the accuracy by one order of magnitude.
Description
Technical Field
The application relates to the field of voltage transformer error calculation, in particular to an operation three-phase voltage transformer error calculation method for deducting background influence.
Background
The stable operation, safety and reliability development of the power system are important civil problems. Statistical data show that the total national power consumption in 2012 reaches 49726.64 hundred million kilowatt-hours, the total national power consumption in 2015 reaches 58019.91 hundred million kilowatt-hours, and the fluctuation range reaches 16.67%, thereby playing a role in the overall development of society. While the power system rapidly develops, users have raised higher and higher requirements on the operation reliability of the power grid; as key signal providing equipment in the power system, the transformer has the functions of realizing reliable electrical isolation between the primary side high-voltage part and the secondary equipment, and realizing accurate measurement of primary voltage and current under the condition of ensuring the safety of the secondary equipment and electricity consumption so as to provide reliable basis for electric energy metering, state monitoring and relay protection and ensure safe, stable and economic operation of the power system; however, long-term operation has found that transformers are affected by both external and internal instability factors during long-term operation, and that out-of-tolerance phenomena, particularly Capacitive Voltage Transformers (CVT), can occur during actual operation. According to field operation experience for many years, in transformers with voltage classes of 110kV and above, the fault rate of the CVT is about five times of that of an electromagnetic voltage transformer and is 10 times of that of an electromagnetic current transformer; therefore, it is necessary to perform evaluation analysis on the accuracy of the voltage transformer in operation.
Disclosure of Invention
The application aims to provide an operation three-phase voltage transformer error calculation method for deducting background influence quantity, which can be used for calculating voltage transformer errors.
The application aims at realizing the technical scheme, which comprises the following steps:
1) Collecting three-phase signals of metering windings of two groups of operation three-phase voltage transformers to obtain a data matrix X collected by the two groups of three-phase voltage transformers 1 、X 2 The two groups of three-phase voltage transformers are operated at the same voltage level, and the three-phase signals of the two groups of three-phase voltage transformers are in-phase sequence three-phase voltage equal proportion change signals;
2) For two groups of three-phase signal data matrix X 1 、X 2 Performing data processing, and subtracting the processed two groups of three-phase voltages to obtain difference data X;
3) Carrying out analysis and calculation of an optimization principal component by using the difference data X to obtain statistics of weighted mean deviation square sum Q of the effect quantity;
4) And judging the operation state of the three-phase voltage transformer by using the Q statistic.
Further, the specific conditions that the three-phase voltage transformers are operated at the same voltage level in the step 1) are as follows: the primary voltage level range of the three-phase voltage transformer is 35-1000 kV, and the accuracy level is 0.2 level or 0.5 level;
the specific conditions of the equal proportion change of the phase sequence three-phase voltage in the step 1) are as follows: the A phase voltage, the B phase voltage and the C phase voltage of the three-phase voltage transformers are respectively changed in equal proportion;
in the step 1), the sampling of the three-phase signals of the metering windings of the two groups of operation three-phase voltage transformers is carried out as analog signals, and the specific method is as follows: sampling is realized by adopting an analog sampling circuit board, the high-speed acquisition frequency is more than or equal to 12.8kHz, and the data matrix X of the two groups of three-phase voltage transformers 1 、X 2 The method comprises the steps of carrying out a first treatment on the surface of the Wherein:
wherein:the voltage value acquired by the phase A voltage transformer in the first group is acquired; />The voltage value acquired by the B-phase voltage transformer in the first group is acquired; />The method comprises the steps of collecting voltage values for C-phase voltage transformers in a first group; />The voltage value acquired by the phase A voltage transformer in the second group is acquired; />The voltage value acquired by the B-phase voltage transformer in the second group is obtained; />The voltage value acquired by the C-phase voltage transformer in the second group is obtained; n is the number of samples collected.
Further, for two groups of three-phase signal data matrix X acquired 1 、X 2 The specific method for obtaining the difference value data X by subtracting the two groups of three-phase voltages after data processing is as follows:
the difference data X is calculated as:
X＝X 1 -X 2 (1)。
further, the specific steps of performing the optimization principal component analysis calculation by using the difference data X in the step 3) are as follows:
3-1) decomposing the difference data matrix X:
in the method, in the process of the application,e=t, which is the principal component subspace model of the difference data matrix X e P e T A residual subspace model of data matrix X. T is principal component scoring matrix, P is principal component loading matrix, T e For residual scoring matrix, P e Is a residual load matrix;
3-2) singular value decomposition is carried out on the covariance matrix of the difference data matrix X to obtain load matrices P and P e ：
R＝X T X/(N-1)＝[PP e ]Λ[PP e ] T (3)
Where Λ=diag (λ 1 ，λ 2 ，...λ m )，λ 1 ≥λ 2 ≥...≥λ m Is the eigenvalue of covariance matrix R, [ PP ] e ]A load vector composed of the corresponding feature vectors;
3-3) calculating a statistic Q statistic:
the Q statistic is the weighted sum of squares of the weighted mean differences of the effect quantities, namely the weighted sum of squares; the Q statistic reflects the total dispersion;
3-4) Q statistic control threshold Q for calculating significance level α C 。
Further, the specific method for judging the operation state of the three-phase voltage transformer by using the Q statistic in the step 4) is as follows:
if Q is less than or equal to Q C Judging that the three-phase voltage mutual inductance has no measurement error abnormality;
if Q>Q C And judging that the measurement error of the mutual inductor in the three-phase voltage mutual inductance is abnormal.
Due to the adoption of the technical scheme, the application has the following advantages:
1. the method designs an operation voltage transformer error calculation method for deducting the background influence quantity by utilizing the principle that the background influence quantity of the voltage transformer is the same when the power supply is in equal proportion change, improves the original calculation difference of the voltage transformer error in operation from thousandth position to ten thousandth position, and improves the accuracy by one order of magnitude;
2. the method is effective for the voltage transformer and is effective for calculating the current transformer in operation;
3. the hardware requirement of the method is better than the level 0.05, the software algorithm designed by the method is better than the level 0.01, the monitored voltage transformer metering winding is level 0.2, the hardware is higher than the monitored voltage transformer by 2 accuracy levels after carrying the software, and the uncertainty of analysis data does not influence the calculated error of the monitored voltage transformer;
4. the method is installed in an online monitoring system of the error characteristics of the voltage transformer in a transformer substation control room, real-time analysis and calculation of the error of the voltage transformer in operation are realized, the algorithm has low requirements on an intelligent processor, a common FPGA can carry the algorithm, and edge calculation of the operation error of the voltage transformer can be realized.
5. The data parallel analysis principle is adopted in the patent, the data volume of the operation voltage transformer which needs to be acquired for one month in the traditional linear principal component analysis and calculation is taken as the support volume of the analysis database, the data support can be used for supporting and developing error analysis, and the calculation efficiency is greatly improved.
Additional advantages, objects, and features of the application will be set forth in part in the description which follows and in part will become apparent to those having ordinary skill in the art upon examination of the following or may be learned from practice of the application. The objectives and other advantages of the application will be realized and attained by the structure particularly pointed out in the written description and claims hereof.
Drawings
The drawings of the present application are described as follows:
FIG. 1 is a flow chart of the present application.
Fig. 2 is a statistical chart of three-phase voltage acquisition data in experiment one of the application.
Fig. 3 is a statistical chart of three-phase voltage Q statistics in experiment one of the present application.
Fig. 4 is a statistical plot of a 0.2% reduction in data from the a-phase voltage acquisition data portion of experiment two of the present application.
Fig. 5 is a statistical chart of the three-phase voltage Q statistics in experiment two of the present application.
FIG. 6 is a statistical plot of the amplitude acquisition data of the A-phase voltage waveforms of the I and II masters in experiment three of the present application.
Fig. 7 is a statistical chart of the phase a voltage Q statistics in experiment three of the present application.
Detailed Description
The application is further described below with reference to the drawings and examples.
The method for calculating the error of the operation three-phase voltage transformer with the background influence subtracted comprises the following specific steps as shown in fig. 1:
1) Collecting three-phase signals of metering windings of two groups of operation three-phase voltage transformers to obtain a data matrix X collected by the two groups of three-phase voltage transformers 1 、X 2 The two groups of three-phase voltage transformers are operated at the same voltage level, and the three-phase signals of the two groups of three-phase voltage transformers are in-phase sequence three-phase voltage equal proportion change signals;
2) For two groups of three-phase signal data matrix X 1 、X 2 Performing data processing, and subtracting the processed two groups of three-phase voltages to obtain difference data X;
3) Carrying out analysis and calculation of an optimization principal component by using the difference data X to obtain statistics of weighted mean deviation square sum Q of the effect quantity;
4) And judging the operation state of the three-phase voltage transformer by using the Q statistic.
The specific conditions that the three-phase voltage transformers are operated at the same voltage level in the step 1) are as follows: the primary voltage level range of the three-phase voltage transformer is 35-1000 kV, and the accuracy level is 0.2 level or 0.5 level;
the specific conditions of the equal proportion change of the phase sequence three-phase voltage in the step 1) are as follows: the A phase voltage, the B phase voltage and the C phase voltage of the three-phase voltage transformers are respectively changed in equal proportion;
in the step 1), the sampling of the three-phase signals of the metering windings of the two groups of operation three-phase voltage transformers is carried out as analog signals, and the specific method is as follows: sampling is realized by adopting an analog sampling circuit board, the high-speed acquisition frequency is more than or equal to 12.8kHz, and the data matrix X of the two groups of three-phase voltage transformers 1 、X 2 The method comprises the steps of carrying out a first treatment on the surface of the Wherein:
wherein:the voltage value acquired by the phase A voltage transformer in the first group is acquired; />The voltage value acquired by the B-phase voltage transformer in the first group is acquired; />The method comprises the steps of collecting voltage values for C-phase voltage transformers in a first group; />The voltage value acquired by the phase A voltage transformer in the second group is acquired; />The voltage value acquired by the B-phase voltage transformer in the second group is obtained; />The voltage value acquired by the C-phase voltage transformer in the second group is obtained; n is the number of samples collected.
Two groups of three-phase signal data matrix X acquired in step 2) 1 、X 2 The specific method for obtaining the difference value data X by subtracting the two groups of three-phase voltages after data processing is as follows:
the difference data X is calculated as:
X＝X 1 -X 2 (1)。
the specific steps of carrying out the analysis and calculation of the optimal principal component by using the difference data X in the step 3) are as follows:
3-1) decomposing the difference data matrix X:
in the method, in the process of the application,e=t, which is the principal component subspace model of the difference data matrix X e P e T A residual subspace model of data matrix X. T is principal component scoring matrix, P is principal component loading matrix, T e For residual scoring matrix, P e Is a residual load matrix;
3-2) singular value decomposition is carried out on the covariance matrix of the difference data matrix X to obtain load matrices P and P e ：
R＝X T X/(N-1)＝[PP e ]Λ[PP e ] T (3)
Where Λ=diag (λ 1 ，λ 2 ，...λ m )，λ 1 ≥λ 2 ≥...≥λ m As the eigenvalues of the covariance matrix R,a load vector composed of the corresponding feature vectors;
3-3) calculating a statistic Q statistic:
the Q statistic is the weighted sum of squares of the weighted mean differences of the effect quantities, namely the weighted sum of squares; the Q statistic reflects the total dispersion;
3-4) Q statistic control threshold Q for calculating significance level α C 。
The specific method for judging the operation state of the three-phase voltage transformer by utilizing the Q statistic in the step 4) is as follows:
if Q is less than or equal to Q C Judging that the three-phase voltage mutual inductance has no measurement error abnormality;
if Q>Q C And judging that the measurement error of the mutual inductor in the three-phase voltage mutual inductance is abnormal.
Experiment one:
collecting voltage data fragments collected by a three-phase voltage transformer in the three-phase operation of a bus of a circuit I of a 220kV transformer substation, as shown in figure 2, and obtaining a principal component analysis Q value of the three-phase voltage by a principal component analysis method, as shown in figure 3; it can be seen that the conventional principal component analysis represents the comprehensive variation of the three-phase output voltage.
Experiment II:
collecting voltage data fragments collected by a three-phase voltage transformer in the three-phase operation of a bus of a circuit I of a 220kV transformer substation, reducing partial data of phase A voltage collection data by 0.2%, as shown in fig. 4, and obtaining Q statistics through principal component analysis, as shown in fig. 5; as can be seen from fig. 5, the partial Q value is reduced, and it can be seen that the accuracy of Q value calculation is affected if the power supply of a certain phase voltage transformer is abnormal, which is the calculation deviation generated by the background error, and meanwhile, it is proved that the accuracy of the conventional principal component analysis depends on the stability of the power supply.
Experiment III:
the I and II voltage transformers of a 220kV transformer substation are operated in parallel, two groups of voltage transformers are from the same voltage level, output voltage signals of metering windings of the I and II voltage transformers of the A phase and the II phase are obtained, as shown in figure 6, the two groups of voltage values are marked as M1 and M2, the Q statistics of the M1 and M2 are obtained by adopting optimized principal component analysis with background influence subtracted, as shown in figure 7, the Q value variation range of the traditional principal component analysis is-0.015 to +0.035, the variation is in thousandth position, the Q value variation range of the optimized principal component analysis is-0.0023 to +0.007, and the variation is in thousandth position as shown in figure 7. And then solving the operation error value of the voltage transformer according to the original principal component analysis mode for the Q value, so that the operation error calculation accuracy of the voltage transformer is proved to be greatly improved.
It will be appreciated by those skilled in the art that embodiments of the present application may be provided as a method, system, or computer program product. Accordingly, the present application may take the form of an entirely hardware embodiment, an entirely software embodiment or an embodiment combining software and hardware aspects. Furthermore, the present application may take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, and the like) having computer-usable program code embodied therein.
The present application is described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems) and computer program products according to embodiments of the application. It will be understood that each flow and/or block of the flowchart illustrations and/or block diagrams, and combinations of flows and/or blocks in the flowchart illustrations and/or block diagrams, can be implemented by computer program instructions. These computer program instructions may be provided to a processor of a general purpose computer, special purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, create means for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be stored in a computer-readable memory that can direct a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer-readable memory produce an article of manufacture including instruction means which implement the function specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be loaded onto a computer or other programmable data processing apparatus to cause a series of operational steps to be performed on the computer or other programmable apparatus to produce a computer implemented process such that the instructions which execute on the computer or other programmable apparatus provide steps for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
Finally, it should be noted that: the above embodiments are only for illustrating the technical aspects of the present application and not for limiting the same, and although the present application has been described in detail with reference to the above embodiments, it should be understood by those of ordinary skill in the art that: modifications and equivalents may be made to the specific embodiments of the application without departing from the spirit and scope of the application, which is intended to be covered by the claims.
Claims (4)
1. The method for calculating the error of the operation three-phase voltage transformer by deducting the background influence quantity is characterized by comprising the following specific steps:
1) Collecting three-phase signals of metering windings of two groups of operation three-phase voltage transformers to obtain a data matrix X collected by the two groups of three-phase voltage transformers 1 、X 2 The two groups of three-phase voltage transformers are operated at the same voltage level, and the three-phase signals of the two groups of three-phase voltage transformers are in-phase sequence three-phase voltage equal proportion change signals;
2) For two groups of three-phase signal data matrix X 1 、X 2 Performing data processing, and subtracting the processed two groups of three-phase voltages to obtain difference data X;
3) Carrying out analysis and calculation of an optimization principal component by using the difference data X to obtain statistics of weighted mean deviation square sum Q of the effect quantity;
4) Judging the running state of the three-phase voltage transformer by utilizing the Q statistic;
the specific conditions that the three-phase voltage transformers are operated at the same voltage level in the step 1) are as follows: the primary voltage level range of the three-phase voltage transformer is 35-1000 kV, and the accuracy level is 0.2 level or 0.5 level;
the specific conditions of the equal proportion change of the phase sequence three-phase voltage in the step 1) are as follows: the A phase voltage, the B phase voltage and the C phase voltage of the three-phase voltage transformers are respectively changed in equal proportion;
in the step 1), the sampling of the three-phase signals of the metering windings of the two groups of operation three-phase voltage transformers is carried out as analog signals, and the specific method is as follows: sampling is realized by adopting an analog sampling circuit board, the high-speed acquisition frequency is more than or equal to 12.8kHz, and the data matrix X of the two groups of three-phase voltage transformers 1 、X 2 The method comprises the steps of carrying out a first treatment on the surface of the Wherein:
wherein:the voltage value acquired by the phase A voltage transformer in the first group is acquired; />The voltage value acquired by the B-phase voltage transformer in the first group is acquired; />The method comprises the steps of collecting voltage values for C-phase voltage transformers in a first group; />The voltage value acquired by the phase A voltage transformer in the second group is acquired; />The voltage value acquired by the B-phase voltage transformer in the second group is obtained; />The voltage value acquired by the C-phase voltage transformer in the second group is obtained; n is the number of samples collected.
2. The method for calculating the error of the operational three-phase voltage transformer with the background influence subtracted according to claim 1, wherein forTwo groups of three-phase signal data matrixes X are collected 1 、X 2 The specific method for obtaining the difference value data X by subtracting the two groups of three-phase voltages after data processing is as follows:
the difference data X is calculated as:
X＝X 1 -X 2 (1)。
3. the method for calculating errors of the three-phase voltage transformer for operation with background influence subtracted according to claim 1, wherein the specific steps of performing the analysis and calculation of the optimized principal component by using the difference data X in the step 3) are as follows:
3-1) decomposing the difference data matrix X:
in the method, in the process of the application,e=t, which is the principal component subspace model of the difference data matrix X e P e T A residual subspace model of a data matrix X; t is principal component scoring matrix, P is principal component loading matrix, T e For residual scoring matrix, P e Is a residual load matrix;
3-2) singular value decomposition is carried out on the covariance matrix of the difference data matrix X to obtain load matrices P and P e ：
R＝X T X/(N-1)＝[PP e ]Λ[PP e ] T (3)
Where Λ=diag (λ 1 ，λ 2 ，...λ m )，λ 1 ≥λ 2 ≥...≥λ m Is the eigenvalue of covariance matrix R, [ PP ] e ]A load vector composed of the corresponding feature vectors;
3-3) calculating a statistic Q statistic:
the Q statistic is the weighted sum of squares of the weighted mean differences of the effect quantities, namely the weighted sum of squares; the Q statistic reflects the total dispersion;
3-4) Q statistic control threshold Q for calculating significance level α C 。
4. The method for calculating the error of the three-phase voltage transformer for operation with the background influence subtracted according to claim 1, wherein the specific method for determining the operation state of the three-phase voltage transformer by using the Q statistic in the step 4) is as follows:
if Q is less than or equal to Q C Judging that the three-phase voltage mutual inductance measurement error is normal;
if Q>Q C And judging that the measurement error of the mutual inductor in the three-phase voltage mutual inductance is abnormal.
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| CN113050017A (en) * | 2021-03-02 | 2021-06-29 | 合肥工业大学 | Intelligent error state monitoring and fault diagnosis system for electronic transformer |
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| CN113239132B (en) * | 2021-07-12 | 2021-09-24 | 武汉格蓝若智能技术有限公司 | Online out-of-tolerance identification method for voltage transformer |
| CN114579933B (en) * | 2022-05-05 | 2022-08-12 | 威胜集团有限公司 | Error measurement optimization method and device, electronic equipment and readable storage medium |
| CN115267641B (en) * | 2022-09-22 | 2023-01-17 | 武汉格蓝若智能技术有限公司 | Method and system for identifying error abnormity of current transformer in same-tower double-circuit power transmission line |
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