摘要
为了得到良好的统计特性,DFT(离散傅里叶变换)算法要求时域采样点数N足够大,但N越大计算量也越大。针对电力系统谐波分析中谐波次数远小于时域采样点数的特点,提出一种适用于电力系统谐波分析的不对称DFT算法,并从理论上论证了不对称DFT算法给出的结果正好是谐波系数的最小二乘估计。同时研究了不对称DFT算法在电力系统谐波分析中的应用,研究结果表明,不对称DFT算法不仅计算量比标准FFT算法少,而且统计特性也十分优良。
In order to get good statistical properties, the DFT （Discrete Fourier Transform） algorithm requires the number of time-domain sampling points N is big enough, but the bigger N is, the bigger the amount of computation is. For the characteristic that the harmonic frequency is much less than the number of time-domain sampling points in harmonics analysis of power system, the asymmetry DFT algorithm is proposed to be applicable for the harmonics analysis of power system. It is demonstrated in the theory that the result the new algorithm gives is just the least squares estimation of harmonics coefficients. The application of the new algorithm in harmonics analysis of power system is studied. The research results prove the asymmetry DFT algorithm not only costs less time in the calculation, but also has better statistical properties than the standard FFT algorithm.
出处
《重庆大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2008年第2期162-165,共4页
Journal of Chongqing University
基金
浙江省自然科学基金资助项目(Y106145)
