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
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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<<N) non-zero coefficients, the signal is sparse. At this time, Ψ is called the sparse basis of the...
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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