Dolph-Chebyshev窗插值FFT的谐波参数估计  

Estimation of Harmonics Parameters Base on Dolph-Chebyshev Window Interpolation FFT Algorithm

作　　者：田文博[1] 余健明[1] 马小津[1] 朱博[1] 

机构地区：[1]西安理工大学自动化学院,西安710048

出　　处：《电力系统及其自动化学报》2014年第2期50-54,共5页Proceedings of the CSU-EPSA

摘　　要：Dolph-Chebyshev窗是一种具有最大振幅比的时窗函数,其频谱旁瓣衰减可以进行自由选择。文中研究了该窗频谱特性,给出了旁瓣电平与形状参数的数学关系式以及主瓣宽度与旁瓣电平的数学关系式,并提出了基于Dolph-Chebyshev窗插值FFT(fast Fourier transformation)算法的谐波参数估计方法。仿真结果表明,在选择合适形状参数时,Dolph-Chebyshev窗谱具有良好的频率泄漏抑制特性。该算法对电网谐波幅值、频率和相位的估计与经典窗函数的算法相比,精度有了一定提高。Dolph-Chebyshev window is a kind of time-window with maximum amplitude ratio,of which the peak ripple value of the sidelobes can be adjusted freely by the shape parameters.And this paper analyses its spectrum characteristics,and gives function relation between sidelobe peak and the shape parameters and another function relation between main lobe width and sidelobe peak.By using this window,an approach for estimation of harmonics parameters based on Dolph-Chebyshev window interpolation fast Fourier transform （FFT） algorithm is proposed.The algorithm is used for the classical example and 9 order harmonics signal.The simulation results show that,according to selecting an appropriate shape parameter,Dolph-Chebshev window restrains spectral leakage effectively.Moreover,the proposed algorithm＇s accuracy has been raised when it is used for estimating the amplitude,frequency and phase of the harmonic.

关 键 词：插值 快速傅里叶变换 Dolph-Chebyshev窗 谐波 

分 类 号：TM711[电气工程—电力系统及自动化]