Hanning自卷积窗及其在谐波分析中的应用  

Hanning Self-Convolution Windows and Its Application to Harmonic Analysis

作　　者：温和[1] 滕召胜[1] 卿柏元[1] 

机构地区：[1]湖南大学电气与信息工程学院,长沙410082

出　　处：《电工技术学报》2009年第2期164-169,共6页Transactions of China Electrotechnical Society

基　　金：国家自然科学基金资助项目(60272051)

摘　　要：加窗插值FFT算法可以有效降低频谱泄漏和栅栏效应对谐波分析精度的影响。本文提出一种由Hanning窗进行自卷积运算得到的Hanning自卷积窗,分析了卷积阶数对主瓣宽度、旁瓣电平和旁瓣衰减速率的影响,计算了1～4阶Hanning自卷积窗的主瓣、旁瓣性能参数,给出了基于Hanning自卷积窗的双峰插值FFT谐波分析算法。仿真结果表明,Hanning自卷积窗具有优良的频谱抑制性能,基于Hanning自卷积窗的双峰插值FFT算法能有效消除各次谐波间的相互干扰,适合于电力谐波的高精度检测,与已有加窗插值FFT谐波分析算法相比,精度有明显提高,且便于嵌入式系统实现。Suitable windows and interpolation FFT algorithms have been used to eliminate the errors caused by spectral leakage and picket fence effect. New kinds of windows, called as Hanning self-convolution windows（HSCW）, are presented. The p-order HSCW is produced by convolving p Harming windows. The major lobe and side lobes characteristics of p-order HSCW are discussed and an interpolated FFT algorithm based on HSCW is given. As the new windows have the optimal side lobe levels and the side lobes decay at a very fast rate, the windowed interpolation FFT algorithm can greatly increase the accuracy of harmonic analysis. The simulation results show the effectiveness and practicability of the algorithm.

关 键 词：Hanning自卷积窗 快速傅里叶变换 谐波分析 频谱泄漏 

分 类 号：TM714[电气工程—电力系统及自动化]