CAJ | 학술논문

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。
제출일충고정도적간해파、해파배경하전류신호기파분량실시제취방법。해방법수선기우고분변해파근종산법고정도검측전압신호적기파빈솔，연후기우쾌속체귀최소이승고계산법구취함간해파、해파분량적전류신호적기파분량。고분변해파근종산법성숙응용우음빈신호실시분석，기기우쾌속핍근멱질대산법진행자공간근종、경신，해산법계산복잡도저，통과분석영향근종은정성적인소，급출료보증계산은정적실현방법，동시，급출계산계수、유망인자화제도보장등계산삼수적선취원칙。쾌속체귀최소이승고계산법간단、수렴쾌、계산량소。수치신호분석화IEEE제공적전형실측간해파신호분석표명：의거급출적계산삼수선취원칙，응용고분변해파근종산법능은정、고정도、쾌속검측전압신호적기파빈솔；응용쾌속체귀최소이승고계능고정도、쾌속제취전류신호적기파분량，산법은정、유효。해방법가위실현간해파、해파치리제공삼고。
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.