引用本文: | 郝柱,顾伟,褚建新,麻朝.基于四谱线插值FFT的电网谐波检测方法[J].电力系统保护与控制,2014,42(19):107-113.[点击复制] |
HAO Zhu,GU Wei,CHU Jian-xin,MA Zhao.A power network harmonic detection method based on the four-spectrum-line interpolation FFT[J].Power System Protection and Control,2014,42(19):107-113[点击复制] |
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摘要: |
在采用快速傅里叶变换法分析电网中各次谐波时,因信号的非整周期截断和非同步采样而造成的频谱泄露会对检测结果的准确性造成影响。为了提高谐波检测的准确度,提出了一种基于四谱线插值的快速傅里叶变换算法。该算法通过对加窗信号的离散频点处幅值信息的分析,利用谐波频点附近的四根谱线进行加权运算,进一步提高了谐波幅值和相位检测的准确度。通过数据拟合,得到常用的窗函数所对应的谐波分析实用修正公式。由数值仿真分析可以看出,该算法具有更高的检测精确度。仿真及实测的结果充分验证了该算法的准确性和有效性。 |
关键词: 四谱线插值 快速傅里叶变换 谐波检测 窗函数 数据拟合 |
DOI:10.7667/j.issn.1674-3415.2014.19.017 |
投稿时间:2013-12-09修订日期:2014-02-25 |
基金项目:省部级项目“船舶电力推进系统故障诊断与安全控制技术研究及应用”(11170501700) |
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A power network harmonic detection method based on the four-spectrum-line interpolation FFT |
HAO Zhu,GU Wei,CHU Jian-xin,MA Zhao |
(Marine Technology and Control Engineering Key Laboratory of Transportation Ministry, Shanghai Maritime University,
Shanghai 201306, China) |
Abstract: |
When the Fast Fourier Transform (FFT) method is used to analyze the harmonics in a power network, the sampled signal’s non-integral period truncation and non-synchronous sampling can cause the spectrum leakage, which will affect the accuracy of the detective results. In order to improve the accuracy of the harmonic detection, this paper puts forward a Fast Fourier Transform algorithm based on four-spectrum-line interpolation algorithm. Through analyzing the adding window signal amplitude information at the discrete frequency points, the algorithm further enhances the accuracy of the amplitude and phase detection by using weighted arithmetic of four pillars spectral line near the harmonic frequency point. By data fitting, practical correction formulas corresponding to commonly used window functions are obtained. Through numerical simulation analysis, it can be seen that the algorithm has higher detection accuracy. The accuracy and effectiveness of the algorithm is verified by the results of the simulation. |
Key words: four-spectrum-line interpolation FFT harmonic detection window function data fitting |