Fast Fourier transform(FFT)is the most widely used power harmonic analysis method,but there are spec-trum leakage and fence phenomena,which affect the accuracy of harmonic analysis.In order to solve this problem,com-mon window functions and interpolation algorithms were analyzed first,and then a harmonic analysis method based on five-term Rife-Vincent(Ⅰ)window six-spectral-line interpolation was proposed.Through polynomial curve fitting,the cor-rection formulas of amplitude,phase and frequency were derived and used for simulation verification.Simulation results proved effectiveness and accuracy of the proposed algorithm.When analyzing simple signals,compared with Hanning win-dow,Hamming window and Blackman window,the five-term rife Vincent(Ⅰ)window-based method has higher detection accuracy,as it can achieve relative errors of amplitude and phase less than 8.94×10-6%and 2.60×10-4%respectively,and relative error of fundamental frequency of only-1.44×10-8%.When analyzing complex signals containing interhar-monics,compared with other algorithms,the proposed algorithm has higher calculation accuracy.
关键词
快速傅里叶变换/Rife-Vincent(Ⅰ)窗/六谱线插值/谐波分析/多项式曲线拟合
Key words
fast Fourier transform/Rife-Vincent(Ⅰ)window/six-spectral-line interpolation/harmonic analysis/polyno-mial curve fitting