CN109902735A - A kind of two norm Independent Component Analysis for realizing that threephase potential transformer kinematic error is assessed in substation - Google Patents
A kind of two norm Independent Component Analysis for realizing that threephase potential transformer kinematic error is assessed in substation Download PDFInfo
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Abstract
The invention discloses a kind of two norm Independent Component Analysis for realizing that threephase potential transformer kinematic error is assessed in substation, realized by following steps: (1) the threephase potential transformer measuring signal just to have put into operation after acquisition calibration extracts its fundamental voltage amplitude and constitutes calculation matrix；(2) above-mentioned calculation matrix is decomposed using independent component analysis method, obtains isolated component and corresponding solve mixes matrix；(3) residual components are filtered out using two norm methods, while obtains calculating the parameter matrix of residual components, and calculate its control limit；(4) threephase potential transformer output voltage amplitude is acquired, its corresponding statistic is calculated with (3) according to (2), and be compared with control limit, if it is overproof to be determined with voltage transformer beyond control limit.Advantage: present method solves the threephase potential transformer online evaluation problem under the conditions of no standard, for evaluation process without having a power failure, not depending on High-precision standard device, estimation flow is easy, more efficient.
Description
Technical field
The invention belongs to voltage transformer technical fields, and in particular to threephase potential transformer operation misses in a kind of substation
The appraisal procedure of difference.
Background technique
Voltage transformer is a kind of high-voltage signal sensing equipment for being widely used in electric system, be electric system observing and controlling,
The source of the equipment applied voltage signal such as protection and metering, accurate voltage measurement is the basis of the stable operation of electric system, because
This, assesses the measurement error of voltage transformer and to replace overproof unqualified voltage transformer in time extremely important.Moreover,
With the construction of smart grid, in the quantity rapid growth of fortune voltage transformer, to assessment efficiency, higher requirements are also raised.
The voltage transformer error appraisal procedure being widely used at present is referred to as all inspections, i.e., in substation field periodicity
Carry out the offline inspection of voltage transformer error.Week inspection has the disadvantage that: 1) offline inspection needs substation's cooperation to have a power failure, damage
Power supply reliability；2) overproof failure can not be found at the first time by being periodically detected, and the replacement of overproof mutual inductor is caused to lag；3)
Week examines no specific aim, assesses low efficiency.
In conclusion the voltage that traditional voltage transformer week inspection technology can not adapt under smart grid fast development is mutual
Sensor kinematic error evaluation requirement, in order to realize online, the long-term and efficient assessment to voltage transformer kinematic error, this hair
It is bright to propose threephase potential transformer kinematic error appraisal procedure in a kind of substation based on two norm independent component analysis.
Summary of the invention
For the technological deficiency and Improvement requirement of existing week inspection, the present invention provides three-phase voltages in a kind of realization substation
Two norm Independent Component Analysis of mutual inductor kinematic error assessment, it is therefore intended that be detached under the conditions of standard potential transformer
The assessment of voltage transformer kinematic error.
To achieve the above object, threephase potential transformer kinematic error is assessed in a kind of realization substation provided by the invention
Two norm Independent Component Analysis, comprising the following steps:
(1) the threephase potential transformer measuring signal just to have put into operation after acquisition calibration extracts its fundamental voltage amplitude and constitutes measurement square
Battle array
Wherein, uaRefer to the fundamental voltage amplitude of A phase voltage mutual inductor output signal, ubRefer to B phase voltage mutual inductor output signal
Fundamental voltage amplitude, ucRefer to that the fundamental voltage amplitude of C phase voltage mutual inductor output signal, n are collecting sample quantity；
(2) using independent component analysis method (Independent Component Analysis, ICA) to above-mentioned measurement square
Battle array is decomposed, and isolated component S is obtained1, S2And S3And corresponding solve mixes matrix W；
(3) residual components S is filtered out using two norm methodse, while obtaining calculating the parameter matrix W of residual componentse, establish
Reflect the statistic SPE of residual components variation, and calculates its control limit；
(4) acquire threephase potential transformer output voltage amplitude, calculate its corresponding statistic according to (2) and (3), and with control
System limit is compared, if determining to have in threephase potential transformer that voltage transformer is overproof beyond control limit, should organize to overhaul；
Further, above-mentioned voltage transformer error state evaluating method is based on Independent Component Analysis in step (2)
Calculation matrix decomposable process it is as follows:
2.1) to calculation matrix X albefaction, whitening matrix Z, each column vector feature in Z are obtained are as follows: zero-mean, unit variance and
It is irrelevant；
2.2) estimation solves mixed matrix W；
2.3) calculate isolated component
Further, above-mentioned voltage transformer error state evaluating method, step (2.1) includes following sub-step:
2.1.1) to calculation matrix X centralization, make each mean variable value zero, i.e.,Its
In, element is all 1 in I, For each row mean value of X.
2.1.2) obtain matrixCovariance matrix
2.1.3 Eigenvalues Decomposition, i.e. R) are carried out to covariance matrixX=EDET, wherein E is feature vector, and D is characterized value
Diagonal matrix；
2.1.4) whitening matrixWherein Q=D1/2UT；
Further, above-mentioned voltage transformer error state evaluating method, step (2.2) includes following sub-step:
2.2.1 it) determines that independent element number to be estimated is 3, sets counting variable p=1；
2.2.2 the stochastic variable w of unit norm) is generatedp；
2.2.3)Wherein E { } is to ask expectation, g (x)=
Tanhx, to w 'pIt is orthogonalized, obtainsAgain to w 'pIt is standardized, obtains
w″p=w "p/||w′p||；
2.2.4) if w "pIt is not converged, then continue to execute step (2.2.3).If convergence, sets p=p+1；
2.2.5) if p≤3, return step (2.2.2), if p > 4, W=[w1 w2 w3]T。
Further, above-mentioned voltage transformer error state evaluating method, step (3) includes following sub-step:
3.1) it calculates and solves every row vector w in mixed matrix WiCorresponding two norms accounting
It is sorted according to accounting, the row vector for selecting accounting minimum corresponds to row vector as the mixed matrix W of solution for residual componentse, the row vector
Corresponding independent element is as residual components Se；
3.2) the statistic SPE=Q of building reflection residual components-1WeSe；
3.3) Density Estimator method, the corresponding control limit of Counting statistics amount SPE are used.
Further, above-mentioned voltage transformer error state evaluating method, step (3.3) includes following sub-step:
3.3.1) note f (x) is the frequency statistics function of statistic SPE, and independent variable x is the amplitude of statistic SPE, because becoming
Measuring f (x) is the corresponding frequency.Using the probability density function of Density Estimator method estimation SPEEstimation method isWherein, n is sample size, and h is bandwidth, it is preferred that h=1.0592n-0.2, K is core letter
Number, it is preferred that use standard gaussian function.
3.3.2) rememberFor the probability-distribution function of statistic SPE, α is confidence level, preferably
, α=0.99, then control of the statistic SPE at confidence level α is limited to xα=F-1(α)；
Further, statistic control limit calculation method:
Further, above-mentioned voltage transformer error state evaluating method, step (4) includes following sub-step:
4.1) output voltage amplitude of online acquisition threephase potential transformer remembers that the three-phase voltage amplitude of t moment is V (t)
=[Va Vb Vc]T, centralization is carried out to it, obtains measurement data It is defined in step (2.1.1)；
4.2) calculating its correspondence SPE statistic is
4.3) compare SPE (t) and xαSize relation, if SPE (t) > xα, then alarm signal is issued, it is believed that three-phase voltage is mutual
Has there is overproof failure in sensor, needs to overhaul.If SPE (t) < xα, then it is assumed that overproof event does not occur for threephase potential transformer
Barrier, can continue to run, it is preferred that the sampling interval between online acquisition data is 15min.
The beneficial effects of the present invention are:
The invention firstly uses the threephase potential transformer just to have put into operation after calibration acquisition data to establish error normal condition
Under characteristic quantity model, and estimate its probability distribution, limited the feature numerical quantity under high confidence level as control.Secondly, acquisition
Output voltage amplitude during this group of threephase potential transformer on-line operation, and its characteristic quantity is calculated using identical step,
Finally, judging whether threephase potential transformer occurs by comparing the feature numerical quantity and control limit size relation of online acquisition
Overproof failure, to realize commenting in real time for the threephase potential transformer kinematic error being detached under the conditions of High-precision standard device
Estimate.
Present invention employs the Independent Component Analysis based on two norms, since this method is to the probability point of input variable
Cloth has no particular/special requirement, does not propose particular/special requirement to the probability distribution of electric system primary voltage amplitude, therefore widely applicable.
Threephase potential transformer kinematic error appraisal procedure proposed by the present invention reduces live work compared with conventional method
It measures, does not need to have a power failure and realize real-time assessment, under the auxiliary of the method, service personnel can be targetedly to super
Poor mutual inductor is overhauled, and the investment of a large amount of manpower and material resources is reduced.
Detailed description of the invention
It, below will be to specific in order to illustrate more clearly of the specific embodiment of the invention or technical solution in the prior art
Embodiment or attached drawing needed to be used in the description of the prior art be briefly described, in attached drawing, each element or part simultaneously
Not necessarily drawn according to actual ratio.
Fig. 1 is analysis process schematic diagram of the invention.
Specific embodiment
It is described in detail below in conjunction with embodiment of the attached drawing to technical solution of the present invention, following embodiment is only used for
Clearly illustrate technical solution of the present invention, therefore be only used as example, and cannot be used as a limitation and limit protection model of the invention
It encloses.
A kind of two norm independent elements point for realizing that threephase potential transformer kinematic error is assessed in substation of the invention
Analysis method, process are as shown in Figure 1, comprising the following steps:
(1) the threephase potential transformer measuring signal just to have put into operation after acquisition calibration extracts its fundamental voltage amplitude and constitutes measurement square
Battle array
Wherein, uaRefer to the fundamental voltage amplitude of A phase voltage mutual inductor output signal, ubRefer to B phase voltage mutual inductor output signal
Fundamental voltage amplitude, ucRefer to that the fundamental voltage amplitude of C phase voltage mutual inductor output signal, n are collecting sample quantity；
(2) using independent component analysis method (Independent Component Analysis, ICA) to above-mentioned measurement square
Battle array is decomposed, and isolated component S is obtained1, S2And S3And corresponding solve mixes matrix W；
(3) residual components S is filtered out using two norm methodse, while obtaining calculating the parameter matrix W of residual componentse, establish
Reflect the statistic SPE of residual components variation, and calculates its control limit；
(4) acquire threephase potential transformer output voltage amplitude, calculate its corresponding statistic according to (2) and (3), and with control
System limit is compared, if determining to have in threephase potential transformer that voltage transformer is overproof beyond control limit, should organize to overhaul；
In the present embodiment, above-mentioned voltage transformer error state evaluating method, independent component analysis is based in step (2)
The calculation matrix decomposable process of method is as follows:
2.1) to calculation matrix X albefaction, whitening matrix Z, each column vector feature in Z are obtained are as follows: zero-mean, unit variance and
It is irrelevant；
2.2) estimation solves mixed matrix W；
2.3) isolated component is calculated
In the present embodiment, above-mentioned voltage transformer error state evaluating method, step (2.1) includes following sub-step:
2.1.1) to calculation matrix X centralization, make each mean variable value zero, i.e.,Wherein,
Element is all 1 in I, For each row mean value of X；
2.1.2) obtain matrixCovariance matrix
2.1.3 Eigenvalues Decomposition, i.e. R) are carried out to covariance matrixX=EDET, wherein E is feature vector, and D is characterized value
Diagonal matrix；
2.1.4) whitening matrixWherein Q=D1/2UT。
In the present embodiment, above-mentioned voltage transformer error state evaluating method, step (2.2) includes following sub-step:
2.2.1 it) determines that independent element number to be estimated is 3, sets counting variable p=1；
2.2.2 the stochastic variable w of unit norm) is generatedp；
2.2.3)Wherein E { } is to ask expectation,
G (x)=tanh x, to w 'pIt is orthogonalized, obtainsAgain to w 'pInto
Row standardization, obtains w "p=w "p/||w′p||；
2.2.4) if w "pIt is not converged, then continue to execute step (2.2.3).If convergence, sets p=p+1；
2.2.5) if p≤3, return step (2.2.2), if p > 4, W=[w1 w2 w3]T。
In the present embodiment, above-mentioned voltage transformer error state evaluating method, step (3) includes following sub-step:
3.1) it calculates and solves every row vector w in mixed matrix WiCorresponding two norms accounting
It is sorted according to accounting, the row vector for selecting accounting minimum corresponds to row vector as the mixed matrix W of solution for residual componentse, the row vector
Corresponding independent element is as residual components Se；
3.2) the statistic SPE=Q of building reflection residual components-1WeSe；
3.3) Density Estimator method, the corresponding control limit of Counting statistics amount SPE are used.
In the present embodiment, above-mentioned voltage transformer error state evaluating method, step (3.3) includes following sub-step:
3.3.1) note f (x) is the frequency statistics function of statistic SPE, and independent variable x is the amplitude of statistic SPE, because becoming
Measuring f (x) is the corresponding frequency.Using the probability density function of Density Estimator method estimation SPEEstimation method isWherein, n is sample size, and h is bandwidth, it is preferred that h=1.0592n-0.2, K is core letter
Number, it is preferred that use standard gaussian function；
3.3.2) rememberFor the probability-distribution function of statistic SPE, α is confidence level, preferably
, α=0.99, then control of the statistic SPE at confidence level α is limited to xα=F-1(α)；
In the present embodiment, above-mentioned voltage transformer error state evaluating method, step (4) includes following sub-step:
4.1) output voltage amplitude of online acquisition threephase potential transformer remembers that the three-phase voltage amplitude of t moment is V (t)
=[Va Vb Vc]T, centralization is carried out to it, obtains measurement data It is defined in step (2.1.1)；
4.2) calculating its correspondence SPE statistic is
4.3) compare SPE (t) and xαSize relation, if SPE (t) > xα, then alarm signal is issued, it is believed that three-phase voltage is mutual
Has there is overproof failure in sensor, needs to overhaul.If SPE (t) < xα, then it is assumed that overproof event does not occur for threephase potential transformer
Barrier, can continue to run.Preferably, the sampling interval between online acquisition data is 15min.
Finally, it should be noted that the above embodiments are merely illustrative of the technical solutions of the present invention, rather than its limitations；Although
Present invention has been described in detail with reference to the aforementioned embodiments, those skilled in the art should understand that: it still may be used
To modify to technical solution documented by previous embodiment, or some or all of the technical features are equal
Replacement；And these are modified or replaceed, technical solution of various embodiments of the present invention that it does not separate the essence of the corresponding technical solution
Range should all cover within the scope of the claims and the description of the invention.
Claims (4)
1. a kind of two norm Independent Component Analysis for realizing that threephase potential transformer kinematic error is assessed in substation, special
Sign is, comprising the following steps:
(1) the threephase potential transformer measuring signal after acquisition calibration, extracts its fundamental voltage amplitude and constitutes calculation matrix
(2) above-mentioned calculation matrix is decomposed using independent component analysis method, obtains isolated component S1, S2And S3, and it is corresponding
Solution mix matrix W；
(3) residual components S is filtered out using two norm methodse, while obtaining calculating the parameter matrix W of residual componentse, establish reflection
The statistic SPE of residual components variation, and calculate its control limit；
(4) threephase potential transformer output voltage amplitude is acquired, calculates its corresponding statistic with (3) according to (2), and limit with control
It is compared, if determining have voltage transformer overproof in threephase potential transformer beyond control limit.
2. a kind of two norm Independent Component Analysis for realizing that threephase potential transformer kinematic error is assessed in substation, special
Sign is: the calculation matrix decomposable process based on Independent Component Analysis is divided into 2.1,2.2 and 2.3 in its step (2), specifically
Steps are as follows:
2.1) to calculation matrix X albefaction, whitening matrix Z, each column vector feature in Z are obtained are as follows: zero-mean, unit variance and mutually not
It is related；
2.1.1) to calculation matrix X centralization, make each mean variable value zero, i.e.,Wherein, in I
Element is all 1, For each row mean value of X；
2.1.2) obtain matrixCovariance matrix
2.1.3 Eigenvalues Decomposition, i.e. R) are carried out to covariance matrixX=EDET, wherein E is feature vector, and it is diagonal that D is characterized value
Matrix；
2.1.4) whitening matrixWherein Q=D1/2UT；
2.2) estimation solves mixed matrix W；
2.2.1 it) determines that independent element number to be estimated is 3, sets counting variable p=1；
2.2.2 the stochastic variable w of unit norm) is generatedp；
2.2.3)Wherein E { } is to ask expectation, g (x)=tanh x,
To w 'pIt is orthogonalized, obtainsAgain to w "pIt is standardized, obtains w "p=w "p/
||w″p||；
2.2.4) if w "pIt is not converged, then continue to execute step (2.2.3).If convergence, sets p=p+1；
2.2.5) if p≤3, return step (2.2.2), if p > 4, W=[w1 w2 w3]T；
2.3) isolated component is calculated
3. a kind of two norm Independent Component Analysis for realizing that threephase potential transformer kinematic error is assessed in substation, special
Sign is: specific step is as follows for step (3):
3.1) it calculates and solves every row vector w in mixed matrix WiCorresponding two norms accountingAccording to
Accounting sequence, the row vector for selecting accounting minimum correspond to row vector as the mixed matrix W of solution for residual componentse, row vector correspondence
Independent element is as residual components Se；
3.2) the statistic SPE=Q of building reflection residual components-1WeSe；
3.3) Density Estimator method, the corresponding control limit of Counting statistics amount SPE are used；
3.3.1) note f (x) is the frequency statistics function of statistic SPE, and independent variable x is the amplitude of statistic SPE, dependent variable f
It (x) is the corresponding frequency, using the probability density function of Density Estimator method estimation SPEEstimation method isWherein, n is sample size, and h is bandwidth, it is preferred that h=1.0592n-0.2, K is core letter
Number, it is preferred that use standard gaussian function；
3.3.2) rememberFor the probability-distribution function of statistic SPE, α is confidence level, it is preferred that α=
0.99, then control of the statistic SPE at confidence level α is limited to xα=F-1(α)；
Further, statistic control limit calculation method.
4. a kind of two norm Independent Component Analysis for realizing that threephase potential transformer kinematic error is assessed in substation, special
Sign is that specific step is as follows for step (4):
4.1) output voltage amplitude of online acquisition threephase potential transformer remembers that the three-phase voltage amplitude of t moment is V (t)=[Va
Vb Vc]T, centralization is carried out to it, obtains measurement data It is defined in step (2.1.1).
4.2) calculating its correspondence SPE statistic is
4.3) compare SPE (t) and xαSize relation, if SPE (t) > xα, then alarm signal is issued, it is believed that threephase potential transformer
There is overproof failure, has needed to overhaul.If SPE (t) < xα, then it is assumed that overproof failure does not occur for threephase potential transformer,
It can continue to run.
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| CN111507579A (en) * | 2020-03-26 | 2020-08-07 | 国网四川省电力公司电力科学研究院 | Clustering-method-based full-class voltage transformer operation performance evaluation method |
| 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 |
| CN113447783A (en) * | 2021-08-30 | 2021-09-28 | 武汉格蓝若智能技术有限公司 | Voltage transformer insulation fault identification model construction method and device |
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