一类半波对称FFT改进算法与电网谐波分析

An Improved Half-wave Symmetric FFT Algorithm for Grid Harmonics Analysis

在深入分析快速傅里叶变换(FFT)方法的基础上,针对一类电网信号具有半波对称性的特点,提出了一种改进的FFT算法。该算法对于只含奇次谐波分量的一类半波对称波形,省去了偶次谐波分量的计算。因此,改进算法的计算量是传统FFT的一半,大大节省了运算时间,提高了谐波分析速度。论文详细推导了算法公式,设计了完整的计算流程,并通过仿真和实验验证了算法的可行性和有效性。

A improved FFT algorithm considering the half-wave syi^unetric characteristic of power system signals is presented based on the fast Fourier transform （FFT） method. The half-wave symmetric FFT algorithm could omit the even harmonics in its calculation for the half-wave symmetric signals with only odd hamlonics. So the computation of the improved FFT just has a half amount of the traditional FFT. It could save a lot of calculation time. The algorithm formulation is deduced and the entire computation process is designed. Experiment results validated the feasibility.