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凯塞窗插值FFT的电力谐波分析与应用
引用本文:高云鹏,滕召胜,温和,曾博.凯塞窗插值FFT的电力谐波分析与应用[J].中国电机工程学报,2010(4).
作者姓名:高云鹏  滕召胜  温和  曾博
作者单位:湖南大学电气与信息工程学院;
基金项目:国家自然科学基金项目(60872128)~~
摘    要:采用矩形窗、三角窗等基本窗函数和广义余弦窗函数对信号加权可减少非整数周期截断造成的频谱泄漏和栅栏效应的影响,但其效果受到窗函数固定旁瓣性能的制约。通过分析凯塞(Kaiser)窗函数的主瓣与旁瓣衰减可自由选择的特性,提出基于Kaiser窗插值快速傅里叶变换(fast Fourier transform,FFT)的电力谐波分析方法,建立奇次、偶次谐波求解的数学模型和实用的插值修正公式,推导信号基波与各次谐波频率、幅值、初相角的计算式。仿真和实测结果表明,Kaiser窗插值FFT方法设计实现灵活、抑制频谱泄漏效果好,据此研制的三相多功能谐波电能表的基波有功误差≤0.2%,基波无功误差≤1%,2~21次谐波分析满足GB/T14549—1993的A类谐波测量仪器要求。

关 键 词:谐波分析  Kaiser窗  插值快速傅里叶变换  频谱泄漏  电能计量  

Harmonic Analysis Based on Kaiser Window Interpolation FFT and Its Application
GAO Yun-peng,TENG Zhao-sheng,WEN He,ZENG Bo.Harmonic Analysis Based on Kaiser Window Interpolation FFT and Its Application[J].Proceedings of the CSEE,2010(4).
Authors:GAO Yun-peng  TENG Zhao-sheng  WEN He  ZENG Bo
Affiliation:GAO Yun-peng,TENG Zhao-sheng,WEN He,ZENG Bo (College of Electrical , Information Engineering,Hunan University,Changsha 410082,Hunan Province,China)
Abstract:The fundamental windows such as the rectangular window and triangular window and generalized cosine windows can be used to eliminate the errors caused by spectral leakage and picket fence effect under the non-integral period truncation conditions, but effect is restricted by the performance of the fixed side lobes of these windows. The free characteristics of the major lobe and side lobes of the Kaiser window are discussed in this paper, and an approach for the harmonic analysis based on Kaiser window inter...
Keywords:harmonic analysis  Kaiser window  interpolation fast Fourier transform (FFT)  spectral leakage  energy measurement  
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