基于二阶海宁卷积窗和双峰插值傅里叶变换的谐波检测方法

Harmonic Detection Method Based on 2-order Haining Convolution Window and Double-peak Interpolated FFT

针对采用傅里叶变换检测谐波时存在的频谱泄露和栅栏效应问题,提出采用二阶海宁卷积窗的加窗算法来减少频谱泄露,采用双峰谱线插值修正算法抑制栅栏效应的谐波检测方法。Matlab仿真结果表明,该谐波检测方法对于稳态谐波的检测精度较高,且很好地改善了频谱泄露和栅栏效应问题。对于波动谐波,提出可采用小波变化与傅里叶变换和加窗插值法相结合的谐波分析方案。

In order to solve problems of frequency spectrum leakage and picket fence effect in harmonic detection by Fourier transform,the paper proposed a harmonic detection method,which uses 2-order Haining convolution window to reduce frequency spectrum leakage and interpolated correcting algorithm with double-peak of spectrum lines to restrain picket fence effect.The Matlab simulation result showed that the harmonic detection method has high detecting precision for harmonic in steady state and improves frequency spectrum leakage and picket fence effect well.For fluctuation harmonic,it proposed a harmonic analyzing scheme integrated wave-let,Fourier transform,and windowing and interpolation algorithm.