CN112068064A - Running three-phase voltage transformer error calculation method with background influence quantity deducted - Google Patents
Running three-phase voltage transformer error calculation method with background influence quantity deducted Download PDFInfo
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Abstract
A method for calculating the error of an operating three-phase voltage transformer with background influence quantity deducted comprises the following steps: collecting three-phase signals of metering windings of two groups of running three-phase voltage transformers to obtain a data matrix X collected by the two groups of three-phase voltage transformers1、X2The two groups of running three-phase voltage transformers are in the same voltage class, and three-phase signals of the two groups of running three-phase voltage transformers are in the same phase sequence three-phase voltage equal proportion change signals; for two groups of collected three-phase signal data matrix X1、X2Carrying out data processing, and subtracting the two processed three-phase voltages to obtain difference data X; carrying out optimization principal component analysis calculation by using the difference data X to obtain the statistics of weighted mean square deviation sum Q of the effect quantity; judging the abnormality of the running three-phase voltage transformer by utilizing the Q statistic; the method and the device improve the original error calculation difference of the voltage transformer in operation from thousandth to ten thousandth, and improve the accuracy by one order of magnitude.
Description
Technical Field
The invention relates to the field of voltage transformer error calculation, in particular to a method for calculating an error of an operating three-phase voltage transformer by deducting background influence quantity.
Background
The stable operation and safe and reliable development of the power system are important civil problems. The statistical data shows that the total electricity consumption of the whole country in 2012 reaches 49726.64 hundred million kilowatt hours, the total electricity consumption of the whole country in 2015 reaches 58019.91 hundred million kilowatt hours, the rise reaches 16.67%, and the comprehensive development of the society plays a very important role. While the power system is rapidly developed, users put higher and higher requirements on the operation reliability of the power grid; as a key signal providing device in an electric power system, the mutual inductor has the functions of realizing reliable electrical isolation between a primary high-voltage part and a secondary device, and realizing accurate measurement of primary voltage and current under the condition of ensuring the safety of the secondary device and electricity utilization, so as to provide reliable basis for electric energy metering, state monitoring and relay protection and ensure the safe, stable and economic operation of the electric power system; however, in long-term operation, the mutual inductor is influenced by external and internal unstable factors in long-term operation, and an out-of-tolerance phenomenon, particularly a Capacitance Voltage Transformer (CVT), can occur in the actual operation process. According to the field operation experience of many years, in the mutual inductor with the voltage class of 110kV and above, the failure rate of the CVT is about five times of that of an electromagnetic voltage mutual inductor and is 10 times of that of an electromagnetic current mutual inductor; therefore, it is necessary to perform an evaluation analysis on the accuracy of the voltage transformer in operation.
Disclosure of Invention
The invention aims to provide an error calculation method for operating a three-phase voltage transformer by deducting background influence quantity, which can be used for calculating the error of the voltage transformer.
The invention is realized by the technical scheme, which comprises the following steps:
1) collecting three-phase signals of metering windings of two groups of running three-phase voltage transformers to obtain a data matrix X collected by the two groups of three-phase voltage transformers1、X2The two groups of running three-phase voltage transformers are in the same voltage class, and three-phase signals of the two groups of running three-phase voltage transformers are in the same phase sequence three-phase voltage equal proportion change signals;
2) for two groups of collected three-phase signal data matrix X1、X2Carrying out data processing, and subtracting the two processed three-phase voltages to obtain difference data X;
3) carrying out optimization principal component analysis calculation by using the difference data X to obtain the statistics of weighted mean square deviation sum Q of the effect quantity;
4) and judging the running state of the three-phase voltage transformer by utilizing the Q statistic.
Further, the specific conditions that the three-phase voltage transformer operates in the step 1) at the same voltage level are as follows: the primary voltage grade range of the three-phase voltage transformer is 35-1000 kV, and the accuracy grade is 0.2 grade or 0.5 grade;
the specific conditions of the equal proportion change of the same-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 multiple groups of three-phase voltage transformers respectively change in equal proportion;
in the step 1), collecting three-phase signals of metering windings of two groups of running three-phase voltage transformers to be analog signal samples, and the specific method comprises the following steps: 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 two groups of three-phase voltage transformers1、X2(ii) a Wherein:
wherein:
is an A phase voltage transformer in the first group;
b phase voltage transformers in the first group;
a C phase voltage transformer in the first group;
is an A phase voltage transformer in the second group;
a B phase voltage transformer in the second group;
a C phase voltage transformer in the second group; n is the number of samples collected.
Further, two groups of collected three-phase signal data matrixes X1、X2The specific method for carrying out data processing and subtracting the two processed three-phase voltages to obtain difference data X comprises the following steps:
the difference data X is calculated as:
X＝X1-X2 (1)。
further, the specific steps of carrying out 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 formula (I), the compound is shown in the specification,
is a principal component subspace model of the difference data matrix X, E ═ TePe TIs the residual subspace model of the data matrix X. T is a principal component score matrix, P is a principal component load matrix, TeScoring a matrix for the residual, PeIs a residual load matrix;
3-2) carrying out singular value decomposition on the covariance matrix of the difference data matrix X to obtain load matrixes P and Pe：
R＝XTX/(N-1)＝[PPe]Λ[PPe]T (3)
Wherein Λ is diag (λ)1，λ2，...λm)，λ1≥λ2≥...≥λmIs the eigenvalue of the covariance matrix R, [ PP ]e]Load vectors composed of corresponding feature vectors;
3-3) calculate statistic Q statistic:
Q＝(XPePe T)(XPePe T)T＝XPePe TXT (4)
q statistic is weighted sum of squared deviations of the effect quantity, namely weighted sum of squares; q statistic reflects total dispersion;
3-4) calculating the Q statistic amount control threshold Q of the significance level alphaC。
Further, the specific method for judging the operating 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 QCJudging that the three-phase voltage mutual inductance has no measurement error abnormality;
if Q>QCAnd judging that the measurement error of the mutual inductor is abnormal in the three-phase voltage mutual inductance.
Due to the adoption of the technical scheme, the invention 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 a voltage transformer is the same when the power supply changes in equal proportion, improves the original calculation difference of the voltage transformer error in operation from thousandth to ten thousandth, and improves the accuracy by one order of magnitude;
2. two or more groups of voltage amplitudes with the same voltage grade and the same phase sequence are subtracted, and then optimized principal component analysis is carried out, so that optimized principal component analysis calculation is carried out by utilizing the difference value between voltages with the same voltage and the same phase sequence, and the method is effective for a voltage transformer and is also effective for a current transformer in calculation operation;
3. the requirement on hardware is superior to 0.05 level, the software algorithm designed by the method is superior to 0.01 level, the metering winding of the monitored voltage transformer is 0.2 level, the hardware is higher than 2 accuracy levels of the monitored voltage transformer after carrying software, and the uncertainty of analysis data does not influence the calculated error of the monitored voltage transformer;
4. this patent is installed in the online monitoring system of voltage transformer error characteristic in the control room of transformer substation, realizes the real-time analysis calculation to the voltage transformer error in service, and this algorithm requires lowly to intelligent processor, and ordinary FPGA can carry on this algorithm, can realize the marginal calculation to voltage transformer running error.
5. This patent adopts the parallel analysis principle of data, shortens the operation voltage transformer data volume that traditional linear principal component analysis calculation needs to gather a month as analysis database support volume to a week data can support and develop error analysis, improves computational efficiency by a wide margin.
Additional advantages, objects, and features of the invention 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 invention. The objectives and other advantages of the invention will be realized and attained by the structure particularly pointed out in the written description and claims hereof.
Drawings
The drawings of the invention are illustrated as follows:
FIG. 1 is a flow chart of the present invention.
Fig. 2 is a statistical chart of three-phase voltage acquisition data in the first experiment of the present invention.
Fig. 3 is a statistical chart of the three-phase voltage Q statistic in the first experiment of the present invention.
Fig. 4 is a statistical chart of the data reduction of 0.2% in the a-phase voltage acquisition data part in the second experiment of the present invention.
Fig. 5 is a statistical chart of the three-phase voltage Q statistical value in the second experiment of the present invention.
FIG. 6 is a statistical chart of the amplitude data collected by the A-phase voltage waveforms of the I and II buses in the third experiment of the present invention.
FIG. 7 is a statistical chart of the statistical values of the A-phase voltage Q in the third experiment of the present invention.
Detailed Description
The invention is further illustrated by the following figures and examples.
A method for calculating an error of an operating three-phase voltage transformer with background influence quantity subtracted is shown in figure 1 and comprises the following specific steps:
1) collecting three-phase signals of metering windings of two groups of running three-phase voltage transformers to obtain a data matrix X collected by the two groups of three-phase voltage transformers1、X2The two groups of running three-phase voltage transformers are in the same voltage class, and three-phase signals of the two groups of running three-phase voltage transformers are in the same phase sequence three-phase voltage equal proportion change signals;
2) for two groups of collected three-phase signal data matrix X1、X2Processing data, subtracting the processed two groups of three-phase voltages to obtain difference data X；
3) Carrying out optimization principal component analysis calculation by using the difference data X to obtain the statistics of weighted mean square deviation sum Q of the effect quantity;
4) and judging the running state of the three-phase voltage transformer by utilizing the Q statistic.
The specific condition that the three-phase voltage transformer operates in the step 1) at the same voltage level is as follows: the primary voltage grade range of the three-phase voltage transformer is 35-1000 kV, and the accuracy grade is 0.2 grade or 0.5 grade;
the specific conditions of the equal proportion change of the same-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 multiple groups of three-phase voltage transformers respectively change in equal proportion;
in the step 1), collecting three-phase signals of metering windings of two groups of running three-phase voltage transformers to be analog signal samples, and the specific method comprises the following steps: 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 two groups of three-phase voltage transformers1、X2(ii) a Wherein:
wherein:
is an A phase voltage transformer in the first group;
b phase voltage transformers in the first group;
a C phase voltage transformer in the first group;
is an A phase voltage transformer in the second group;
is B in the second groupA phase voltage transformer;
a C phase voltage transformer in the second group; n is the number of samples collected.
Two groups of three-phase signal data matrix X acquired in step 2)1、X2The specific method for carrying out data processing and subtracting the two processed three-phase voltages to obtain difference data X comprises the following steps:
the difference data X is calculated as:
X＝X1-X2 (1)。
the specific steps of carrying out 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 formula (I), the compound is shown in the specification,
is a principal component subspace model of the difference data matrix X, E ═ TePe TIs the residual subspace model of the data matrix X. T is a principal component score matrix, P is a principal component load matrix, TeScoring a matrix for the residual, PeIs a residual load matrix;
3-2) carrying out singular value decomposition on the covariance matrix of the difference data matrix X to obtain load matrixes P and Pe：
R＝XTX/(N-1)＝[PPe]Λ[PPe]T (3)
Wherein Λ is diag (λ)1，λ2，...λm)，λ1≥λ2≥...≥λmIs the eigenvalue of the covariance matrix R, [ PP ]e]Load vectors composed of corresponding feature vectors;
3-3) calculate statistic Q statistic:
Q＝(XPePe T)(XPePe T)T＝XPePe TXT (4)
q statistic is weighted sum of squared deviations of the effect quantity, namely weighted sum of squares; q statistic reflects total dispersion;
3-4) calculating the Q statistic amount control threshold Q of the significance level alphaC。
The specific method for judging the running 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 QCJudging that the three-phase voltage mutual inductance has no measurement error abnormality;
if Q>QCAnd judging that the measurement error of the mutual inductor is abnormal in the three-phase voltage mutual inductance.
Experiment one:
acquiring voltage data segments acquired by a three-phase voltage transformer in the operation of a bus three-phase of a certain 220kV transformer substation line I, as shown in fig. 2, and obtaining a principal component analysis Q value of three-phase voltage by a principal component analysis method, as shown in fig. 3; it can be seen that the traditional principal component analysis shows the comprehensive change situation of the three-phase output voltage.
Experiment two:
acquiring voltage data fragments acquired by a three-phase voltage transformer in the I-bus three-phase operation of a certain 220kV transformer substation line, reducing partial data of the A-phase voltage acquired data by 0.2%, and obtaining Q statistic through principal component analysis as shown in figure 4 and figure 5; as can be seen from fig. 5, part of the Q values are reduced, and it can be known that the accuracy of the Q value calculation is affected if the power supply of a certain phase voltage transformer has abnormal operation, which is the calculation deviation caused 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 three:
the method comprises the steps that I and II mothers of a certain 220kV transformer substation operate in parallel, two groups of voltage transformers are in the same voltage level, output voltage signals of metering windings of the voltage transformers of the A phase of the I mother and the A phase of the II mother are obtained, as shown in fig. 6, two groups of voltage values are marked as M1 and M2, Q statistics of M1 and M2 are obtained by means of optimization principal component analysis with background influence amount deducted, as shown in fig. 7, as can be seen by comparing fig. 3 in experiment I with fig. 7 in experiment III, the Q value change range of traditional principal component analysis is-0.015 to +0.035, the change is in thousandths, the Q value change range of the optimized principal component analysis is-0.0023 to +0.007, and the change is in thousandths. Then, the Q value is solved according to the original principal component analysis mode to obtain the operation error value of the voltage transformer, and the calculation accuracy of the operation error is greatly improved.
As will be appreciated by one skilled in the art, 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 flow diagrams and/or block diagrams, and combinations of flows and/or blocks in the flow diagrams 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 solutions of the present invention and not for limiting the same, and although the present invention is described in detail with reference to the above embodiments, those of ordinary skill in the art should understand that: modifications and equivalents may be made to the embodiments of the invention without departing from the spirit and scope of the invention, which is to be covered by the claims.
Claims (5)
1. A method for calculating an error of an operating three-phase voltage transformer with background influence quantity deducted is characterized by comprising the following specific steps:
1) collecting three-phase signals of metering windings of two groups of running three-phase voltage transformers to obtain a data matrix X collected by the two groups of three-phase voltage transformers1、X2The two groups of running three-phase voltage transformers are in the same voltage class, and three-phase signals of the two groups of running three-phase voltage transformers are in the same phase sequence three-phase voltage equal proportion change signals;
2) for two groups of collected three-phase signal data matrix X1、X2Carrying out data processing, and subtracting the two processed three-phase voltages to obtain difference data X;
3) carrying out optimization principal component analysis calculation by using the difference data X to obtain the statistics of weighted mean square deviation sum Q of the effect quantity;
4) and judging the running state of the three-phase voltage transformer by utilizing the Q statistic.
2. The method of operating a three-phase voltage transformer with background-impact amount subtracted as recited in claim 1,
the specific condition that the three-phase voltage transformer operates in the step 1) at the same voltage level is as follows: the primary voltage grade range of the three-phase voltage transformer is 35-1000 kV, and the accuracy grade is 0.2 grade or 0.5 grade;
the specific conditions of the equal proportion change of the same-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 multiple groups of three-phase voltage transformers respectively change in equal proportion;
in the step 1), collecting three-phase signals of metering windings of two groups of running three-phase voltage transformers to be analog signal samples, and the specific method comprises the following steps: 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 two groups of three-phase voltage transformers1、X2(ii) a Wherein:
wherein:
is an A phase voltage transformer in the first group;
b phase voltage transformers in the first group;
a C phase voltage transformer in the first group;
is an A phase voltage transformer in the second group;
a B phase voltage transformer in the second group;
a C phase voltage transformer in the second group; n is the number of samples collected.
3. The method for operating a three-phase voltage transformer with background-influence-quantity-subtracted as claimed in claim 1, wherein the matrix X is applied to two sets of collected three-phase signal data1、X2The specific method for carrying out data processing and subtracting the two processed three-phase voltages to obtain difference data X comprises the following steps:
the difference data X is calculated as:
X＝X1-X2 (1)。
4. the method for calculating the error of the operating three-phase voltage transformer with the background influence quantity subtracted as claimed in claim 1, wherein the specific steps of carrying out the analysis calculation of the optimization 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 formula (I), the compound is shown in the specification,
is a principal component subspace model of the difference data matrix X, E ═ TePe TA residual subspace model of the data matrix X; t is a principal component score matrix, P is a principal component load matrix, TeScoring a matrix for the residual, PeIs a residual load matrix;
3-2) carrying out singular value decomposition on the covariance matrix of the difference data matrix X to obtain load matrixes P and Pe：
R＝XTX/(N-1)＝[PPe]Λ[PPe]T (3)
Wherein Λ is diag (λ)1，λ2，...λm)，λ1≥λ2≥...≥λmIs the eigenvalue of the covariance matrix R, [ PP ]e]Load vectors composed of corresponding feature vectors;
3-3) calculate statistic Q statistic:
q statistic is weighted sum of squared deviations of the effect quantity, namely weighted sum of squares; q statistic reflects total dispersion;
3-4) calculating the Q statistic amount control threshold Q of the significance level alphaC。
5. The method for calculating the error of the operating three-phase voltage transformer with the background influence amount subtracted as claimed in claim 1, wherein the specific method for determining the operating 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 QCJudging that the mutual inductance measurement error of the three-phase voltage is normal;
if Q>QCAnd judging that the measurement error of the mutual inductor is abnormal in the three-phase voltage mutual inductance.
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| CN113239132A (en) * | 2021-07-12 | 2021-08-10 | 武汉格蓝若智能技术有限公司 | Online out-of-tolerance identification method for voltage transformer |
| CN114579933A (en) * | 2022-05-05 | 2022-06-03 | 威胜集团有限公司 | Error measurement optimization method and device, electronic equipment and readable storage medium |
| CN115267641A (en) * | 2022-09-22 | 2022-11-01 | 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 |
| 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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