| 引用本文: | 史丽萍,谢强,马晓伟.基于五项MSD窗三谱线插值的高精度谐波分析算法[J].电力系统保护与控制,2017,45(7):108-113.[点击复制] |
| SHI Liping,XIE Qiang,MA Xiaowei.High accuracy analysis of harmonic algorithm based on 5-term maximum-sidelobe-decay window and triple-spectrum-line interpolation[J].Power System Protection and Control,2017,45(7):108-113[点击复制] |
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| 摘要: |
| 为了解决快速傅里叶变换中存在的频率泄露和栅栏效应的问题，提出一种高精度的五项最大旁瓣(Maximum- sidelobe-decay, MSD)窗插值算法。从时域和频域分别分析了该窗函数和其他常用窗函数，体现出该窗函数的优秀旁瓣特性。用Matlab中的cftool工具拟合出该算法的修正公式，并用该方法对一般信号和频率变动的信号进行仿真分析。对比其他常用的几种窗函数插值算法的结果，表明五项MSD窗三谱线插值算法具有相对更高的精度，幅值相对误差达到10-9%，而且在工频波动的情况下仍具有较高精度。 |
| 关键词: 谐波分析 插值 快速傅里叶变换 电力系统 高精度 |
| DOI：10.7667/PSPC160524 |
| 投稿时间：2016-04-12修订日期：2016-06-03 |
| 基金项目: |
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| High accuracy analysis of harmonic algorithm based on 5-term maximum-sidelobe-decay window and triple-spectrum-line interpolation |
| SHI Liping,XIE Qiang,MA Xiaowei |
| (School of Information and Electrical Engineering, China University of Mining and Technology, Xuzhou 221116, China) |
| Abstract: |
| In order to solve the problems of fence effect and spectral leakage in Fast Fourier Transform analysis, an approach of high accuracy harmonic analysis is proposed, which bases on 5-term Maximum-Sidelobe-Decay window and triple-spectrum-line interpolation. It analyzes the window function and other commonly used window function in terms of time and frequency domain, reflecting the excellent characteristics of the sidelobe in the window function. It uses the cftool tool in Matlab to fit the modified formula of the algorithm. Then, it analyzes the general signal and signal of frequency change with the method, comparing with other several commonly used window function and interpolation algorithm results, this method shows a higher accuracy performance. In high accuracy analysis of harmonic algorithm based on 5-term MSD window and interpolation, the relative error of the amplitude has reached 10-9%, and it also has a good performance when frequency fluctuation happens. |
| Key words: harmonic analysis interpolation fast Fourier transform power system high accuracy |
