电工技术2024,Issue(3) :22-26.DOI:10.19768/j.cnki.dgjs.2024.03.006

基于Rife-Vincent(Ⅰ)窗的电力谐波分析方法

Power Harmonic Analysis Method Based on Rife-Vincent(Ⅰ)Window

黄冬梅
电工技术2024,Issue(3) :22-26.DOI:10.19768/j.cnki.dgjs.2024.03.006

基于Rife-Vincent(Ⅰ)窗的电力谐波分析方法

Power Harmonic Analysis Method Based on Rife-Vincent(Ⅰ)Window

黄冬梅1
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作者信息

  • 1. 广西农业职业技术大学,广西 南宁 530004
  • 折叠

摘要

快速傅里叶变换(FFT)的电力谐波分析方法应用最多,但存在频谱泄漏和栅栏现象,影响谐波分析的精确度.为解决这个问题,先分析了常用窗函数和插值算法,后提出了基于 5 项 Rife-Vincent(Ⅰ)窗六谱线插值的谐波分析方法.通过多项式曲线拟合,推导出幅值、相位和频率的修正公式,并用于仿真验证.仿真结果证明了算法的有效性和准确性:在分析简单信号时,与 Hanning窗、Hamming窗、Blackman窗相比,5 项 Rife-Vincent(Ⅰ)窗的检测精度更高,幅值和相位相对误差分别小于 8.94×10-6%和 2.60×10-4%,基波频率相对误差低至-1.44×10-8%;在分析包含间谐波的复杂信号时,所提出的算法相比其他算法计算精度更高.

Abstract

Fast Fourier transform(FFT)is the most widely used power harmonic analysis method,but there are spec-trum leakage and fence phenomena,which affect the accuracy of harmonic analysis.In order to solve this problem,com-mon window functions and interpolation algorithms were analyzed first,and then a harmonic analysis method based on five-term Rife-Vincent(Ⅰ)window six-spectral-line interpolation was proposed.Through polynomial curve fitting,the cor-rection formulas of amplitude,phase and frequency were derived and used for simulation verification.Simulation results proved effectiveness and accuracy of the proposed algorithm.When analyzing simple signals,compared with Hanning win-dow,Hamming window and Blackman window,the five-term rife Vincent(Ⅰ)window-based method has higher detection accuracy,as it can achieve relative errors of amplitude and phase less than 8.94×10-6%and 2.60×10-4%respectively,and relative error of fundamental frequency of only-1.44×10-8%.When analyzing complex signals containing interhar-monics,compared with other algorithms,the proposed algorithm has higher calculation accuracy.

关键词

快速傅里叶变换/Rife-Vincent(Ⅰ)窗/六谱线插值/谐波分析/多项式曲线拟合

Key words

fast Fourier transform/Rife-Vincent(Ⅰ)window/six-spectral-line interpolation/harmonic analysis/polyno-mial curve fitting

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出版年

2024
电工技术
重庆西南信息有限公司(原科技部西南信息中心)

电工技术

影响因子:0.177
ISSN:1002-1388
参考文献量19
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