摘  要：谐波污染对电力系统和电力设备产生严重的危害和影响，当电力信号中存在强大的噪声成分时，传统的快速傅里叶变换（fast fourier transform，FFT）无法准确提取出谐波成分。该文在信号稀疏表示理论的基础上，提出基于稀疏表示的电力系统谐波信号频率分析方法，并设计出谐波频率分析快速算法。通过Matlab仿真，结果表明该方法能准确提取谐波成分的频率，具有较强的抗噪能力。
关键词：谐波分析；频率分析；稀疏表示；快速傅里叶变换
文献标志码：A       文章编号：1674-5124（2016）01-0035-03
Sparse representation-based analysis of harmonic signal frequency in power system
ZHANG Runhan1， HU Luoquan1，2
（1. School of Urban Rail Transportation，Soochow University，Suzhou 215131，China；
2. Suzhou Entry-Exit Inspection and Quarantine Bureau，Suzhou 215104，China）
Abstract: Harmonic waves are harmful to electric power systems and electrical equipment. The analysis of harmonic signal frequency in power system has long been an important subject for electric power designers. Strong background noise in signals will interface harmonic components, thus making them too hard to be derived with the traditional approach-fast fourier transform （FFT）. In this paper, we have designed a fast algorithm for harmonic analysis based on the sparse representation theory. The Matlab-based simulation experiment has shown that the proposed method, because of its strong anti-noise capacity, can be used to extract accurately the frequency of harmonic components.
Keywords: harmonic analysis； frequency analysis； sparse representation； FFT