Open AccessMeasurement method of adjacent harmonics or interharmonics based on Gaussian radial basis function frequency domain approximation
Author(s) -
Cheng Guo,
Ruimin Duan,
Ye Zeng
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1894/1/012022
Subject(s) - window function , harmonics , fast fourier transform , frequency domain , mathematics , gaussian function , superposition principle , harmonic , gaussian , spectral leakage , aliasing , main lobe , spectral density , mathematical analysis , algorithm , acoustics , computer science , physics , statistics , artificial intelligence , telecommunications , quantum mechanics , voltage , undersampling , antenna (radio)
Interpolated FFT method based on window function is a common method to measure harmonics or interharmonics in power systems. When the frequency resolution is insufficient or the main lobe of the window function is wide, the spectrum of adjacent harmonics or interharmonics may have aliasing of the main lobe, and it is difficult to accurately measure the parameters of harmonics or interharmonics. This paper proposes a modeling method for adjacent harmonics or adjacent interharmonics. The Fourier transform (FT) of the Gaussian function is still a Gaussian function. According to this feature, after adding a Gaussian window in the time domain and calculating the FFT spectrum, the real and imaginary parts of the aliased spectrum are decomposed into a series of linear superpositions of Gaussian radial basis functions (RBF). The center of the RBF is the frequency of the harmonic or interharmonic, and the amplitude and phase can also be calculated by the superposition coefficient of the RBF. The simulation verifies the effectiveness of the method.