Insulator pollution flashover leakage current signal sparse representation method based on wavelet analysis

A leakage current and wavelet analysis technology, applied in the direction of measuring electricity, measuring electrical variables, measuring devices, etc., can solve problems such as the inability to achieve multi-resolution analysis, improve acquisition and reconstruction speed, ensure accuracy, and reduce sampling frequency the effect of the requirements

Inactive Publication Date: 2014-02-05
NORTH CHINA ELECTRIC POWER UNIV (BAODING)
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Problems solved by technology

However, the Fourier transform can only observe the signal globally in a certain domain of the time and frequency domains, and also requires the signal to satisfy the stationary characteristic
Gabor transform solves the problem of signal localization, but cannot achieve multi-resolution analysis

Method used

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  • Insulator pollution flashover leakage current signal sparse representation method based on wavelet analysis
  • Insulator pollution flashover leakage current signal sparse representation method based on wavelet analysis
  • Insulator pollution flashover leakage current signal sparse representation method based on wavelet analysis

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Embodiment 1

[0050] figure 1 It is a flowchart of sparse representation method of insulator pollution flashover leakage current signal based on wavelet analysis. Combine below figure 1 The principle of the method provided by the present invention is described. like figure 1 As shown, the sparse representation method of insulator pollution flashover leakage current signal based on wavelet analysis provided by the present invention includes:

[0051] Step 1: Choose a sparse basis and calculate the sparsity of the original leakage current signal.

[0052] The principle of compressed sensing is, for the original leakage current signal f of length N, use a set of basis vectors Ψ=[ψ 1 ,ψ 2 ,..,ψ N ] is represented by a linear combination, that is, Ψ is an N×N sparse basis matrix. x is the equivalent representation of the original leakage current signal f on the Ψ domain. When x has only K (K<

Embodiment 2

[0090] Taking the actual insulator pollution flashover leakage current signal as an example, the implementation process of the present invention will be described below. What the present invention adopts is that the salinity (ESDD) is 0.4, the gray scale (NSDD) is 2, and the voltage is 110KV under the condition of using 10kHz sampling frequency to the pollution flashover leakage current signal on the surface of the standard type insulator, and collects 2048 points wherein For case analysis, the sample data set is:

[0091] [0.863;0.924;1.006;1.22;1.644;2.234;2.854;3.369;3.721;4.01;4.49;...;-0.1]

[0092] The unit is milliampere (mA), and the signal diagram drawn by MATLAB is as follows figure 2 shown.

[0093] Step 1: Select the orthogonal wavelet basis as the sparse basis Ψ, and construct the wavelet sparse transform orthogonal matrix And calculate the sparsity K of the original leakage current signal.

[0094] The present invention selects the sym8 orthogonal wavelet b...

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Abstract

The invention discloses an insulator pollution flashover leakage current signal sparse representation method based on wavelet analysis in the technical field of electric power system signal processing. The method comprises the steps that a sym8 orthogonal wavelet basis is adopted as a sparse basis psi, a wavelet sparse transformation orthogonal matrix is constructed, and the sparseness K of original leakage current signals is determined; a Gaussian random matrix fai is constructed and used as a measurement matrix, a measurement value M is calculated according to the sparseness K, and a measurement vector y and a sensing matrix theta are obtained through a sparse representation equation; the original leakage current signals are reconstructed through the measurement vector y and the sensing matrix theta under an OMP algorithm. According to the method, the requirement for sensor sampling frequency is lowered, the sampling and reconstruction speed of the signals is improved on the premise of not influencing signal quality, and meanwhile reconstruction accuracy is guaranteed.

Description

technical field [0001] The invention belongs to the technical field of power system signal processing, and in particular relates to a sparse representation method for insulator pollution flashover leakage current signals based on wavelet analysis. Background technique [0002] In the real-time monitoring of insulator pollution flashover leakage current, the sampling rate and processing speed of pollution flashover leakage current signals are getting higher and higher, and the huge amount of data puts great pressure on the collection, transmission and storage of leakage current signals. Compressive Sensing (CS) can alleviate the above-mentioned data acquisition, transmission and storage pressure by taking advantage of the sparse characteristics of the leakage current signal and recovering the original signal with fewer measured values ​​under the condition of much smaller than the Nyquist sampling rate. [0003] Based on the idea of ​​CS, in the sparse decomposition process o...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01R31/02
Inventor 李国栋刘琳黄琳华宋志新李小龙纪磊周咪娜刘雪芬
Owner NORTH CHINA ELECTRIC POWER UNIV (BAODING)
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