基于三次样条插值信号重构的谐波间谐波检测算法  

Interharmonic Harmonic Detection Algorithm Based on Cubic Spline Interpolation Signal Reconstruction

作　　者：曾宪东 肖辉[1] 李文俊 刘君 ZENG Xiandong;XIAO Hui;LI Wenjun;LIU Jun(College of Electrical and Information Engineering, Changsha University of Science and Technolgy, Changsha 410114, China)

机构地区：[1]长沙理工大学电气与信息工程学院,湖南长沙410114

出　　处：《智慧电力》2018年第5期78-83,共6页Smart Power

基　　金：国家自然科学基金资助项目(51507014);湖南省自然科学基金资助项目(2015JJ4002)~~

摘　　要：针对基波和谐波对间谐波以及间谐波之间的频谱泄露的影响,提出了一种基于三次样条插值信号重构的谐波间谐波检测方法。该方法首先用加汉宁窗插值的快速傅里叶变换(FFT)算法求得精确的实际电网基波频率,根据实际的基波频率,利用三次样条插值对原始的信号进行重构,然后用加汉宁窗插值的FFT算法对重构信号进行处理,求得基波和各谐波的参数,再把基波和各谐波从原始信号中减去。对剩余的信号再次用加汉宁窗插值的FFT算法进行处理,得到各间谐波的参数。对于频率相近的间谐波采用补零法进行频段划分,各频段进行加窗插值后得到较精确间谐波参数。最后,算例仿真误差结果验证了该方法的有效性。Aiming at the spectral leakage between interharmonics and interharmonics of fundamental and harmonics, a new interharmonics detection method based on cubic spline interpolation is proposed in this paper. The exact fundamental frequency of the power grid is obtained by fast Fourier transform （FFT） algorithm with Hanning window interpolation. The original signal is reconstructed by cubic spline interpolation according to the actual fundamental frequency. Then, The reconstructed signal is processed by FFT algorithm with Hanning window interpolation to obtain the parameters of the fundamental wave and each ha^nonic, and then the fundamental wave and each harmonic are subtracted from the original signal. The rest of the signal with Harming window interpolation FFT algorithm is processed to get the parameters of the various harmonics. For similar interharmonies, the method of zero-padding is used to divide the frequency band. After the windows are interpolated, the more accurate inter-harmonic parameters are obtained. Finally the simulation error results have verified the effectiveness of the proposed method.

关 键 词：频谱泄露 快速傅里叶变换 三次样条插值 重构信号 补零法 

分 类 号：TM714[电气工程—电力系统及自动化]