CN108896949A - Capacitance type potential transformer unit impulse response method for solving based on square-wave pulse - Google Patents
Capacitance type potential transformer unit impulse response method for solving based on square-wave pulse Download PDFInfo
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- CN108896949A CN108896949A CN201810776562.3A CN201810776562A CN108896949A CN 108896949 A CN108896949 A CN 108896949A CN 201810776562 A CN201810776562 A CN 201810776562A CN 108896949 A CN108896949 A CN 108896949A
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- impulse response
- capacitance type
- unit impulse
- potential transformer
- type potential
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R35/00—Testing or calibrating of apparatus covered by the other groups of this subclass
- G01R35/02—Testing or calibrating of apparatus covered by the other groups of this subclass of auxiliary devices, e.g. of instrument transformers according to prescribed transformation ratio, phase angle, or wattage rating
Abstract
The invention discloses the capacitance type potential transformer unit impulse response method for solving based on square-wave pulse, include the following steps：Under off-line state, high-voltage pulse is injected in capacitance type potential transformer high voltage input terminal, and connect the identical sample frequency of data collector with low-voltage output in high voltage input terminal and acquire signal；Pencil of matrix denoising fitting is carried out to obtained each end signal；Based on limited long Convolution Formula design recurrence formula and system of linear equations, Deconvolution operation is carried out to denoised signal, acquires the unit impulse response of capacitance type potential transformer.The present invention solves the problems, such as that there are unknown parameters stray capacitances, and transmission characteristic to be caused to calculate inaccuracy for inside of the existing technology, capacitance type potential transformer unit impulse response method for solving based on square-wave pulse is provided, by injecting high-voltage pulse in equipment high-voltage end when it is applied, in high pressure injection end and low-voltage output collection voltages signal, system unit impulse response is calculated using limited long Convolution Formula warp.
Description
Technical field
The present invention relates to capacitance type potential transformer transmission characteristic research methods, and in particular to the capacitor based on square-wave pulse
Formula voltage transformer unit impulse response method for solving.
Background technique
Capacitance type potential transformer is a kind of voltage measuring apparatus, has been widely used for China 35kV and the above power grid
In, measurement data is for protective relaying device and electric energy quality measurement device etc..There are harmonic measure errors for its transmission characteristic
Greatly, the feature of transient characterisitics difference measures precision maneuver, the electric energy quality monitoring of relay protection system and fault signature analysis is pre-
Anti- equal generation adverse effect.The transmission characteristic for analyzing capacitance type potential transformer compensates transient signal and Harmonic retrieval measures again
Important meaning.
However, the transmission characteristic measurement of capacitance type potential transformer is due to manufacturing factor, there are unknown parameters for inside
Stray capacitance, and there are errors for internal element parameter measurement.Traditional transmission characteristic solves mode and comprises provide that limit
Under, equivalent circuit is established, equivalent circuit transmission function is solved by producer's Fabrication parameter；Or it is implanted sequentially by Harmonic Current
Test harmonic wave frequency point transmission characteristic.Internal element parameter inaccuracy will lead to transmission characteristic and calculate inaccuracy, and Harmonic Current tries
It tests and needs by huge material resources, time and manpower.
Summary of the invention
The present invention solves the transmission characteristic measurement of capacitance type potential transformer of the existing technology due to manufacturing
Factor, inside have that unknown parameters stray capacitance causes transmission characteristic to calculate inaccuracy, provide based on square-wave pulse
Capacitance type potential transformer unit impulse response method for solving, application when according to system zero state response process, by
Equipment high-voltage end injects high-voltage pulse, public using limited long convolution in high pressure injection end and low-voltage output collection voltages signal
Formula warp calculates system unit impulse response, i.e. the time domain transmission characteristic of capacitance type potential transformer, guarantees transmission characteristic meter
The accuracy of calculation avoids Harmonic Current test from wasting huge material resources, time and manpower, obtains the data of inaccuracy instead.
The present invention is achieved through the following technical solutions：
Capacitance type potential transformer unit impulse response method for solving based on square-wave pulse, includes the following steps：
A, under off-line state, high-voltage pulse is injected in capacitance type potential transformer high voltage input terminal, and in high voltage input terminal
Data collector is connected with low-voltage output acquires signal with identical sample frequency；
B, pencil of matrix denoising fitting is carried out to each end signal that step A is obtained, reduces noise to the bad dry of complementary operation
It disturbs；
C, based on limited long Convolution Formula design recurrence formula and system of linear equations, convolution is carried out to step B denoised signal
Complementary operation acquires the unit impulse response of capacitance type potential transformer.
Further, the capacitance type potential transformer unit impulse response method for solving based on square-wave pulse, the step B
In pencil of matrix denoising process of fitting treatment include the following steps：
B1, assume that bus end sampled signal is y [n], carry out data observation matrix construction,
N sampling length in formula, L=N/3~N/4；
B2, singular value decomposition is carried out to matrix Y, M singular value before only retaining obtains denoising matrix
B3, remove respectivelyFirst row and last column obtain matrixWithThe characteristic value of calculating matrix beam,
B4, the feature value vector z asked using sampled signal y [n] and step (B3)iSystem of linear equations is constructed using minimum two
Multiplication solves vector Ri,
B4, by ziAnd RiIt substitutes into following formula and denoising sampled signal is calculated
Further, the capacitance type potential transformer unit impulse response method for solving based on square-wave pulse, the step C
In Deconvolution operation include the following steps：
C5, assume input denoised signal x [n], output denoised signal y [n]；
C6, following solution unit impulse response h [n] is carried out,
H [0]=y [0]/x [0],
C7, x [n] and y [n] construct system of linear equations, solve unit impulse response h [n] using least square method,
Compared with prior art, the present invention having the following advantages and benefits：
1, the present invention eliminates the influence that inner parameter error calculates transmission characteristic using offline injection high-frequency impulse, and
And high-intensity signal can be repeatedly injected, it calculates repeatedly.
2, the data processing method that the present invention is denoised using pencil of matrix reduces error for Deconvolution operation.
3, present invention utilizes recurrence method and least square method de-convolution operation solving system unit impulse response, algorithm is fast
It is fast accurate, cost has been saved compared to practical harmonic source injection testing.
Detailed description of the invention
Attached drawing described herein is used to provide to further understand the embodiment of the present invention, constitutes one of the application
Point, do not constitute the restriction to the embodiment of the present invention.In the accompanying drawings：
Fig. 1 is flow diagram of the present invention；
Fig. 2 is the artificial circuit figure of embodiment；
Fig. 3 is the sampled signal and pencil of matrix denoising result waveform diagram that signal-to-noise ratio 20dB white noise is mixed into embodiment；
Fig. 4 is to acquire system unit impulse response comparing result figure in embodiment.
Specific embodiment
To make the objectives, technical solutions, and advantages of the present invention clearer, below with reference to embodiment and attached drawing, to this
Invention is described in further detail, and exemplary embodiment of the invention and its explanation for explaining only the invention, are not made
For limitation of the invention.
Embodiment
As shown in Figure 1, the capacitance type potential transformer unit impulse response method for solving based on square-wave pulse, including it is following
Step：A, under off-line state, high-voltage pulse is injected in capacitance type potential transformer high voltage input terminal, and in high voltage input terminal and low
Output end connection data collector is pressed to acquire signal with identical sample frequency；
B, pencil of matrix denoising fitting is carried out to each end signal that step A is obtained, reduces noise to the bad dry of complementary operation
It disturbs；
The pencil of matrix denoising process of fitting treatment includes the following steps：
B1, assume that bus end sampled signal is y [n], carry out data observation matrix construction,
N sampling length in formula, L=N/3~N/4；
B2, singular value decomposition is carried out to matrix Y, M singular value before only retaining obtains denoising matrix
B3, remove respectivelyFirst row and last column obtain matrixWithThe characteristic value of calculating matrix beam,
B4, the feature value vector z asked using sampled signal y [n] and step (B3)iSystem of linear equations is constructed using minimum two
Multiplication solves vector Ri,
B4, by ziAnd RiIt substitutes into following formula and denoising sampled signal is calculated
C, based on limited long Convolution Formula design recurrence formula and system of linear equations, convolution is carried out to step B denoised signal
Complementary operation acquires the unit impulse response of capacitance type potential transformer.
Deconvolution operation in the step C includes the following steps：
C5, assume input denoised signal x [n], output denoised signal y [n]；
C6, following solution unit impulse response h [n] is carried out,
H [0]=y [0]/x [0],
C7, x [n] and y [n] construct system of linear equations, solve unit impulse response h [n] using least square method,
The course of work of the invention is as follows：The equivalent electricity of capacitance type potential transformer as shown in Figure 2 is built in PSCAD
Road, each component parameters as shown in Fig. 2, high-voltage end inject, the duration be 0.5ms voltage pulse, sample frequency 2MHz,
Calculate 10000 unit impulse responses.
It obtains sampled signal and is mixed into pencil of matrix denoising result waveform diagram after 20dB white noise, as shown in Figure 3.
Warp result and artificial circuit transmission function comparison diagram under the conditions of calculating noise free conditions, the denoising of 20dB pencil of matrix,
As shown in Figure 4.
Above-described specific embodiment has carried out further the purpose of the present invention, technical scheme and beneficial effects
It is described in detail, it should be understood that being not intended to limit the present invention the foregoing is merely a specific embodiment of the invention
Protection scope, all within the spirits and principles of the present invention, any modification, equivalent substitution, improvement and etc. done should all include
Within protection scope of the present invention.
Claims (3)
1. the capacitance type potential transformer unit impulse response method for solving based on square-wave pulse, which is characterized in that including following
Step：
A, under off-line state, high-voltage pulse is injected in capacitance type potential transformer high voltage input terminal, and in high voltage input terminal and low
Output end connection data collector is pressed to acquire signal with identical sample frequency；
B, pencil of matrix denoising fitting is carried out to each end signal that step A is obtained, reduces bad interference of the noise to complementary operation；
C, based on limited long Convolution Formula design recurrence formula and system of linear equations, Deconvolution is carried out to step B denoised signal
Operation acquires the unit impulse response of capacitance type potential transformer.
2. the capacitance type potential transformer unit impulse response method for solving according to claim 1 based on square-wave pulse,
It is characterized in that, the pencil of matrix denoising process of fitting treatment in the step B includes the following steps：
B1, assume that bus end sampled signal is y [n], carry out data observation matrix construction,
N sampling length in formula, L=N/3~N/4；
B2, singular value decomposition is carried out to matrix Y, M singular value before only retaining obtains denoising matrix
B3, remove respectivelyFirst row and last column obtain matrixWithThe characteristic value of calculating matrix beam,
{zi；I=1,2, K, M }=λ (Y2,Y1)=λ (Y1 +Y2)；
B4, the feature value vector z asked using sampled signal y [n] and step (B3)iIt constructs system of linear equations and utilizes least square method
Solve vector Ri,
B4, by ziAnd RiIt substitutes into following formula and denoising sampled signal is calculated
3. the capacitance type potential transformer unit impulse response method for solving according to claim 1 based on square-wave pulse,
It is characterized in that, the Deconvolution operation in the step C includes the following steps：
C5, assume input denoised signal x [n], output denoised signal y [n]；
C6, following solution unit impulse response h [n] is carried out,
H [0]=y [0]/x [0],
C7, x [n] and y [n] construct system of linear equations, solve unit impulse response h [n] using least square method,
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN110794356A (en) * | 2019-10-31 | 2020-02-14 | 国网四川省电力公司电力科学研究院 | Based on L2Deconvolution transformer primary side transient signal measuring method and system |
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| CN103048637A (en) * | 2012-12-19 | 2013-04-17 | 华北电力大学 | Method for testing broadband characteristic of CVT (capacitor voltage transformer) by high voltage harmonic |
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| CN110794356A (en) * | 2019-10-31 | 2020-02-14 | 国网四川省电力公司电力科学研究院 | Based on L2Deconvolution transformer primary side transient signal measuring method and system |
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Application publication date: 20181127 |