基于三次样条插值信号重构的微网谐波及间谐波分析算法  

A Cubic Spline Interpolation Signal Reconstruction-Based Harmonic and Inter-Harmonic Analysis Algorithm for Microgrid

作　　者：王继东[1] 杜旭浩[1] 杨帆[1] 

机构地区：[1]智能电网教育部重点实验室(天津大学),天津市南开区300072

出　　处：《电网技术》2012年第11期7-11,共5页Power System Technology

基　　金：国家重点基础研究发展计划(973计划)项目(2009CB219700);国家自然科学基金项目(51007062)~~

摘　　要：针对微网中基波频率的变动及谐波和间谐波的存在,提出了一种基于三次样条插值信号重构的谐波及间谐波分析算法。首先用加Hanning窗双插值快速傅里叶变换(fastFourier transform,FFT)算法得到微网的实际基波频率,根据实际基波频率对采样频率进行修正;然后采用三次样条插值算法对原始采样信号进行重构,对重构信号用加Hanning窗双插值FFT算法得到基波和各次谐波;最后从原始信号中减去基波和各次谐波,对剩余信号再次运用加Hanning窗双插值FFT算法来确定各次间谐波成份。仿真结果表明,使用该算法对微网的谐波及间谐波进行分析,能够提高分析精度。In allusion to fundamental frequency variation and existence of harmonics and interharmonics in microgrids, based on cubic spline interpolation signal reconstruction a harmonic and interharmonic analysis algorithm is proposed. Firstly,actual fundamental frequency of microgrid is attained by Hanning-windowed dual-interpolation fast Fourier transform（FFT） algorithm,and according to the attained actual fundamental frequency the sampled frequency is corrected;the original sampled signal is reconstructed by cubic spline interpolation algorithm,and applying Hanning-windowed dual-interpolation FFT algorithm to reconstructed signal to obtain fundamental harmonic and all other components;finally subtracting fundamental harmonic and all other harmonic components from original sampled signal and then reapplying Hanning-windowed dual-interpolation FFT algorithm to the remanent signal all interharmonics is determined.Simulation results show that the analysis accuracy can be improved by use of the proposed algorithm.

关 键 词：微网 谐波 间谐波 三次样条插值 信号重构 快速傅里叶变换 

分 类 号：TM714[电气工程—电力系统及自动化]