基于Rife-Vincent(Ⅰ)窗的电力谐波分析方法

Power Harmonic Analysis Method Based on Rife-Vincent(I)Window

快速傅里叶变换(FFT)的电力谐波分析方法应用最多,但存在频谱泄漏和栅栏现象,影响谐波分析的精确度。为解决这个问题,先分析了常用窗函数和插值算法,后提出了基于5项Rife-Vincent(Ⅰ)窗六谱线插值的谐波分析方法。通过多项式曲线拟合,推导出幅值、相位和频率的修正公式,并用于仿真验证。仿真结果证明了算法的有效性和准确性:在分析简单信号时,与Hanning窗、Hamming窗、Blackman窗相比,5项Rife-Vincent(Ⅰ)窗的检测精度更高,幅值和相位相对误差分别小于8.94×10^(-6)%和2.60×10^(-4)%,基波频率相对误差低至-1.44×10^(-8)%;在分析包含间谐波的复杂信号时,所提出的算法相比其他算法计算精度更高。

Fast Fourier transform(FFT)is the most widely used power harmonic analysis method,but there are spectrum leakage and fence phenomena,which affect the accuracy of harmonic analysis.In order to solve this problem,common 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 correction 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 window,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 interharmonics,compared with other algorithms,the proposed algorithm has higher calculation accuracy.