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基于FFT的电网谐波检测误差分析与研究

he Accuracy Analysis of Harmonic Detection Methods In Gird based on FFT

中文摘要英文摘要

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。本文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 of basing on Fourier transformation is widely used. But standard FFT harmonic detection algorithm require the whole cycle of synchronous sampling, otherwise it will produce spectrum leakage and fences effect so that harmonic detection cause greater errors. This paper analyzes spectrum leakage and fences effect concretely, research and analyze the existence of the errors in standard FFT harmonic amplitude detection algorithm of asynchronous sampling, and propose add window interpolation FFT algorithm harmonic parameters detection algorithm. Deduced related formulas based on amplitude, phase and frequency of Blackman window interpolation FFT algorithm amplitude, and use MATLAB to simulate and obtain conclusions.

董彦敏、姜钰梁、谭智力

电气测量技术、电气测量仪器电工基础理论

窗函数谐波分析FFT频谱泄漏

WindowingHarmonic analysisFFTSpectrum leakage

董彦敏,姜钰梁,谭智力.基于FFT的电网谐波检测误差分析与研究[EB/OL].(2011-07-14)[2025-08-03].http://www.paper.edu.cn/releasepaper/content/201107-217.点此复制

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