一种改进加窗三峰插值快速傅立叶变换谐波分析方法  

An Harmonic Analysis Algorithm of Improved Windowed Triple Spectrum Line Interpolation Fast Fourier Transform

作　　者：郭振涛 迟长春[1] 陈正馨 GUO Zhentao;CHI Changchun;CHEN Zhengxin(School of Electrical Engineering,Shanghai Dianji University,Shanghai 201306,China;Shanghri Electric Appliance Science and Technology Co.,Ltd.,Shanghai 200063,China)

机构地区：[1]上海电机学院电气学院,上海201306 [2]上海电科电器科技有限公司,上海200063

出　　处：《上海电机学院学报》2018年第4期36-41,共6页Journal of Shanghai Dianji University

摘　　要：在分析Nuttall窗、Kaiser窗频谱特性的基础上,研究了加Nuttall-Kaiser组合窗三峰插值快速傅立叶变换(FFT)谐波分析算法。通过对Nuttall窗和Kaiser窗赋以一定的权重系数来构造组合窗的频谱函数,结合三峰插值法,进行多项式拟合逼近,由此推导出含有谐波分量的信号的各个参数计算公式。通过仿真验证了该组合窗三峰插值FFT算法有很强的频谱泄漏抑制能力和很小的幅值相位相对误差,极大提高了参数的计算精度。并将该算法应用到电能质量监测装置上,通过对比实验,验证了算法的可行性与实用性。Based on the analysis of the spectrum characteristics of the Nuttall and Kaiser win-dows？ a three-peak interpolated fast Fourier transform （FFT） harmonic analysis algorithm for the combined window is studied in this paper. The spectrum function of the combstructed by assigning a certain weight coefficient to the Nuttall window and the Kaiser window.Combining with the three-peak interpolation method,the polynomial fitting approximation is carried out. The formulas for calculating the parameters of the signal with harmonic components are de-rived. The simulation results show that the combined window three-peak interprithm has strong spectral leakage suppression ability and small relative errors of the amplitude and the phase,and greatly improves the calculation accuracy of the parameters. The algorithm is ap-plied to the power quality monitoring device,and the feasibility and the practirithm are verified by comparison experiments.

关 键 词：快速傅里叶变换 Nuttall-Kaiser组合窗 谐波分析 频谱泄漏 

分 类 号：TM935.2[电气工程—电力电子与电力传动]