应用子空间跟踪和递归最小二乘法的间谐波背景下电流基波分量的实时检测  

Realtime Detection of Current Fundamental Component Containing Harmonic and Inter-Harmonic Components by Subspace Tracking and Fast Recursive Least Square Method

作　　者：金国彬[1] 李玲[1] 高磊[2] 李天云[3] 赵毅君[1] 

机构地区：[1]湖南工程学院电气信息学院,湖南省湘潭市411101 [2]中国电力科学研究院,北京市海淀区100192 [3]东北电力大学电气工程学院,吉林省吉林市132012

出　　处：《电网技术》2013年第11期3118-3124,共7页Power System Technology

基　　金：国家863高技术基金项目(2011AA05A119);湖南省高校产业化培育项目(12CY017);湖南省教育厅科学研究项目(13C173);湖南省科技计划项目(2013GK3035)~~

摘　　要：提出一种高精度的间谐波、谐波背景下电流信号基波分量实时提取方法。该方法首先基于高分辨谐波跟踪算法高精度检测电压信号的基波频率,然后基于快速递归最小二乘估计算法求取含间谐波、谐波分量的电流信号的基波分量。高分辨谐波跟踪算法成熟应用于音频信号实时分析,其基于快速逼近幂迭代算法进行子空间跟踪、更新,该算法计算复杂度低,通过分析影响跟踪稳定性的因素,给出了保证计算稳定的实现方法,同时,给出计算阶数、遗忘因子和梯度步长等计算参数的选取原则。快速递归最小二乘估计算法简单、收敛快、计算量小。数值信号分析和IEEE提供的典型实测间谐波信号分析表明:依据给出的计算参数选取原则,应用高分辨谐波跟踪算法能稳定、高精度、快速检测电压信号的基波频率;应用快速递归最小二乘估计能高精度、快速提取电流信号的基波分量,算法稳定、有效。该方法可为实现间谐波、谐波治理提供参考。A realtime accurate extraction method for current fundamental component under the background of existing harmonics and inter-harmonics is proposed. Firstly, based on high resolution harmonics tracking algorithm, the high accuracy detection of fundamental frequency of voltage signal is performed; then based on fast recursive least square estimation algorithm the current fundamental component containing harmonic and inter-harmonic components is obtained. High resolution harmonic tracking algorithm is maturely applied in realtime analysis of audio signals, and the subspace tracking and updating can be implemented by fast approximated power iteration algorithm, whose complexity of computation of this algorithm is low. Through analyzing factors impacting tracking stability, the implement method to ensure the computation stable is given, meanwhile, the principles to choose computational parameters such as the order of calculation, the forgetting factors and the gradient step length are given. The fast recursive least square estimation algorithm is simple, converges rapidly and its calculated amount is small. Results of numerical signal analysis and typical measured inter-harmonic signal analysis results provided by IEEE show that based on the given parameter choosing principles, using high resolution harmonic tracking algorithm the fundamental frequency of voltage signal can be detected fast and steadily; using fast recursive least square estimation algorithm, high accuracy current fundamental component can be fast extracted. The proposed method is available for reference to harmonic and inter-harmonic elimination.

关 键 词：间谐波 子空间跟踪 快速逼近幂迭代 快速递归最小二乘 电能质量 

分 类 号：TM935[电气工程—电力电子与电力传动]