基于十项余弦窗插值FFT的谐波相量算法  

Harmonic phasor calculation based on ten terms cosine window and interpolated FFT

作　　者：胡治国[1] 徐晓贝[1] 郑征[1] 徐晓光 

机构地区：[1]河南理工大学电气工程与自动化学院,河南焦作454000 [2]鹤壁市供电公司,河南鹤壁458000

出　　处：《河南理工大学学报（自然科学版）》2014年第4期543-548,共6页Journal of Henan Polytechnic University（Natural Science）

基　　金：国家自然科学基金资助项目(51077125);河南省控制工程重点学科开放实验室项目(KG2011-06)

摘　　要：提出了一种基于十项余弦窗的插值FFT算法,分析了余弦组合窗的特性,从旁瓣特性的优势出发,运用旁瓣峰值较低的十项余弦窗,并用双谱线插值算法推导出其对应的修正公式.仿真计算结果表明,谐波幅值误差小于0.001%,相位误差小于0.001%.新的插值FFT算法与常用的Hannning窗、Blackman窗插值FFT算法的测量结果对比,进一步说明了该算法可以有效提高电力系统谐波测量精度,具备实际应用价值.An interpolated FFT algorithm based on a ten-terms cosine window is proposed.The characteristics of cosine window and the advantages of sidelobe peak are firstly analyzed,then the ten-terms cosine window of a low sidelobe peak is used,next the formulas of interpolated FFT algorithm based on the ten-terms cosine window is derived.Simulation results demonstrate that the amplitude error is less than 0.001％,and that the phase error is less than 0.001％.The comparison of the measurement result of this new interpolated FFT algorithm with the measurement results of interpolated FFT algorithm based on Hannning window and Blackman window,is verified that this algorithm enhances the measuring accuracy of power system harmonics and has actual application value.

关 键 词：谐波 快速傅立叶变换 旁瓣特性 十项余弦窗 插值 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]