基于FFT和优化匹配追踪的谐波/间谐波检测  

Harmonic and inter-harmonic detection based on FFT and optimized matching pursuit

作　　者：陈雷[1,2] 郑德忠[1] 赵兴涛[1] 廖文喆 

机构地区：[1]燕山大学电气工程学院,河北省测试计量技术及仪器重点实验室,河北秦皇岛066004 [2]东北石油大学秦皇岛分校,河北秦皇岛066004 [3]河北工业大学控制科学与工程学院,天津300130

出　　处：《电工电能新技术》2016年第2期7-12,37,共7页Advanced Technology of Electrical Engineering and Energy

基　　金：河北省自然科学基金(F2014203224);秦皇岛市科学技术研究与发展计划(201302A042)资助项目

摘　　要：谐波和间谐波干扰严重影响电力系统的正常运行,将快速傅里叶变换(FFT)和采用局部优化的匹配追踪算法相结合,并构造离散正弦字典,实现在含有噪声、基波频率偏移和频率相近的间谐波情况下的谐波和间谐波参数检测。采用循环迭代方法,按照能量大小,依次提取出谐波和间谐波扰动成分,每次迭代首先用FFT估计出当前频率参数,并搜索该频率下的相位,然后以该频率和相位作为初值,用Nelder-Mead算法获得优化后的频率和相位值,并通过MP算法提取出匹配信号表达式,进而获得幅值参数。仿真结果表明本文提出的算法计算复杂度低、物理意义清晰,具有较好的检测精度和抗噪性能。Harmonic and inter-harmonic disturbances seriously affect the normal operation of power system,and a FFT and local optimized matching pursuit（ MP） based on sinusoid dictionary method is used to detect the waveform parameters in case of noise,fundamental frequency deviation and similar inter-harmonic frequency with harmonic or fundamental frequency. According to the amount of energy,the harmonic and inter-harmonic disturbances are extracted in turn through iteration. During each iteration,firstly,FFT is used to estimate the current frequency parameter,and then the phase is searched under this frequency; further,the Nelder-Mead algorithm is used to acquire the optimized frequency and phase that exact matches with the disturbance. Finally,the signal expression matching with harmonic or inter-harmonic is gained by MP,and the amplitude is acquired. The simulation results show that the proposed approach has good detection precision and anti-noise performance.

关 键 词：谐波 间谐波 匹配追踪 正弦字典 时频原子 优化计算 

分 类 号：TM935[电气工程—电力电子与电力传动]