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Multi-spectral line interpolation harmonic analysis method and system based on main lobe width

A harmonic analysis and main lobe width technology, applied in the field of harmonic analysis, can solve the problems of losing useful information and reducing the accuracy of harmonic analysis

Active Publication Date: 2018-01-30
SOUTH CENTRAL UNIVERSITY FOR NATIONALITIES
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Problems solved by technology

With the emergence of complex combined window functions, the width of the main lobe is getting wider and wider, and the number of spectral lines contained in the main lobe is increasing. Conventional double interpolation and triple interpolation will lose useful information, resulting in harmonic analysis Reduced accuracy

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  • Multi-spectral line interpolation harmonic analysis method and system based on main lobe width

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Embodiment Construction

[0066] The present invention will be described in further detail below in conjunction with the accompanying drawings and embodiments.

[0067] Such as figure 1 Shown, the present invention is based on the multispectral line interpolation harmonic analysis method of main lobe width, comprises the steps:

[0068] S1. Signal preprocessing.

[0069] Specifically, the upper computer receives the discrete grid signal x(n) collected by the transformer, where n is the ordinal number of the sampling point, and n is a natural number; the grid signal includes a current signal and a voltage signal. Use the discrete cosine window function w(n) to perform windowing and truncation on the power grid signal x(n) to obtain the windowed signal x w (n):

[0070] x w (n)=x(n)w(n) formula (1)

[0071] The expression of the discrete cosine window function w(n) is:

[0072]

[0073] Among them, N is the number of sampling points, N is a positive integer, n=0,1,2...N-1; Σ means summation; m i...

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Abstract

A multi-spectral line interpolation harmonic analysis method and system based on main lobe width relate to the field of harmonic analysis. The method comprises the steps of preprocessing signals; determining spectral line number; determining weight; calculating a correction formula of a multi-spectral line interpolation algorithm; calculating fundamental wave parameters; determining harmonic parameters; and performing error analysis. A frequency domain expression after windowing of power grid signal (a current signal or a voltage signal) of a power system serves as a starting point, the numberof the spectral lines participating in operation is determined for the first time according to the main lobe width of the windowing function, and the magnitude of each spectral line weight is deduced. Harmonic analysis is carried out on such basis, and harmonic correlation parameters are calculated. It is proved through calculation that an interpolation analysis method carrying out by utilizing all spectral lines in the main lobe is high in precision, high-precision measurement of harmonic parameters is achieved, and good use value is ensured.

Description

technical field [0001] The invention relates to the field of harmonic analysis, in particular to a multispectral line interpolation harmonic analysis method and system based on main lobe width. Background technique [0002] The problem of harmonics in the power grid is becoming more and more serious, which not only deteriorates the power quality, but also has a great impact on the safety, stability and economic operation of the power grid. Therefore, high-precision analysis and measurement of harmonic parameters in the power grid is very necessary to improve power quality, reduce harmonic hazards, and maintain safe, stable, and efficient operation of the power grid. [0003] The most commonly used algorithm for power system harmonic analysis is the FFT (Fast Fourier Transform, Fast Fourier Transform) analysis algorithm. However, due to the unstable frequency of the power grid, it is difficult for FFT to achieve synchronous sampling and full-cycle truncation. The resulting s...

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Application Information

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IPC IPC(8): G01R23/16
Inventor 张俊敏田微王黎何顺帆刘闫
Owner SOUTH CENTRAL UNIVERSITY FOR NATIONALITIES
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