电力系统谐波分析的高精度FFT算法

电力系统谐波分析的高精度FFT算法

中国电机工程学报990315PROCEEDINGS OF

THE CHINESE

SOCIETY FOR

ELECTRICAL

ENGINEERING

1999年 第3期 No.3

1999

电力系统谐波分析的高精度FFT算法

张伏生　耿中行　葛耀中

　　摘要　快速傅立叶变换存在较大的误差，无法直接用于电力系统谐波分析。本文对FFT的泄漏误差进行了分析，根据Jain和Grandke提出的插值算法提出了多项余弦窗插值的新算法，对FFT的结果进行修正，极大地提高了计算精度，使之适用于电力系统的准确谐波分析。文中给出了该算法进行谐波分析模拟计算的算例，计算结果表明，不同的加窗算法计算精度不同，新算法的计算精度显著提高。

　　关键词　傅立叶变换　电力系统　谐波

　　中图分类号　TM714

FFT ALGORITHM WITH HIGH ACCURACY

FOR HARMONIC ANALYSIS IN POWER SYSTEM

Zhang Fusheng

Xian Jiaotong University Xian,710049 China

Geng Zhongxing

Research Center for Aviation Engineering and Technology,Beijing 100076 China

Ge Yaozhong

Xian Jiaotong University Xian,710049 China

　　ABSTRACT　The FFT has a higher error in the harmonic analysis of the electric power system, especially for the phases. This paper discussed the leakage of FFT and

presented a new amending algorithm, poly-cosin window interpolation, which based on the interpolating algorithm proposed by K. Jain and T. Grandke. This new algorithm obviously improves the accuracy of the FFT, so it can be applied to the precision analysis for electrical harmonic. The simulating result shows that applying deferent windows has the deferent effects to the accuracy, and the Blackman-Harris window has the highest accuracy.

　　KEY WORDS　Fourier transform　Electric power system　Harmonic