摘要
谐波检测对谐波补偿装置的研究与设计有着重要的意义,而在谐波检测的各种算法中基于傅里叶变换的谐波检测算法应用较为广泛。但标准FFT谐波检测算法要求整周期的同步采样,否则就会产生频谱泄漏和栅栏效应从而使谐波检测产生较大的误差。在具体分析了产生频谱泄漏和栅栏效应的基础上,对非同步采样时的标准FFT谐波幅值检测算法中所纯在的误差进行了研究与分析,提出了加窗插值FFT算法谐波参数检测算法。推导了基于Blackman窗的插值FFT算法的幅值、相位、频率的计算表达式,并利用MATLAB对其仿真得出相应的结论。
Harmonic detection has an important significance to the research and design of harmonic compensation devices, but in all kinds of harmonic detection algorithms, harmonic detection algorithm based on Fourier transformation is widely used. However, the standard FFT harmonic detection algorithm requires the whole cycle of synchronous sampling, otherwise it will produce spectrum leakage and fences effect so that harmonic detection causes greater errors. The spectrum leakage and fences effect was analyzed in this paper, the existence of the errors in standard FFT harmonic amplitude detection algorithm of asynchronous sampling were researched and analyzed, the add window interpolation FFT algorithm harmonic parameters detection algorithm was proposed. The related formulas based on amplitude, phase and frequency of Blackman window interpolation FFT algorithm amplitude were deduced, and MATLAB was used to simulate and obtain conclusions.
出处
《电源技术》
CAS
CSCD
北大核心
2012年第9期1383-1385,共3页
Chinese Journal of Power Sources
关键词
窗函数
谐波分析
FFT
频谱泄漏
windowing
harmonic analysis
FFT
spectrum leakage
