一种基于加窗插值FFT和Prony算法的谐波与间谐波检测方法  

An Harmonics and Inter-harmonics Detection Method Based on Windowed Interpolation FFT and Prony Algorithm

作　　者：许仪勋 李宁 马丽梅 王玥 XU Yi-xun;LI Ning;MA Li-mei;WANG Yue(School of Electric Power Engineering,Shanghai University of Electric Power,Shanghai 200090,China;Engineer College,Beijing Institute of Petrochemical,Beijing 102617,China)

机构地区：[1]上海电力大学电气工程学院,上海200090 [2]北京石油化工学院工程师学院,北京102617

出　　处：《水电能源科学》2019年第8期183-186,201,共5页Water Resources and Power

基　　金：北京市教育委员会科技计划一般项目（KM201810017010）

摘　　要：针对含有频率相近的谐波和间谐波成分的电网信号,提出了一种基于加窗插值快速傅里叶变换(FFT)与Prony算法的分析方法;对信号加窗并利用FFT进行频谱分析,搜索谱线确定谱峰位置,利用谱线相位差来判断主瓣干扰是否存在;若主瓣干扰不存在,利用插值算法计算谐波或间谐波的参数;若主瓣干扰存在,利用插值算法的计算结果及原信号获得残差信号,使用Prony算法从残差信号中提取受到主瓣干扰的谱峰所对应的谐波和间谐波参数。仿真算例表明,该方法能够有效分析信号中谐波与间谐波的参数。For electric power signals consisted of harmonics and inter-harmonics components with similar frequency, an analysis method based on the windowed interpolation fast Fourier transform (FFT) and the Prony algorithm is proposed. The windowed fast Fourier transform method is used for signal spectrum analysis. The spectral peak is determined by scanning the amplitude spectrum of the signal and whether there is the main-lobe jamming is checked by spectral phase difference. If the main-lobe jamming does not exist, the interpolation algorithm is used to calculate the parameters of harmonics or inter-harmonics. On the contrary, the calculation results of the interpolation algorithm is used to simplify the signal, and the simplified signal is analyzed by the Prony algorithm to obtain the exact parameters of harmonics and inter-harmonics. The simulation results show that the method can effectively analyze the parameters of harmonics and inter-harmonics in the signal.

关 键 词：谐波 间谐波 主瓣干扰 加窗插值FFT PRONY算法 

分 类 号：TM935[电气工程—电力电子与电力传动]