基于切比雪夫窗的电力系统谐波/间谐波高精度分析方法

SUN Zhongmin

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基于切比雪夫窗的电力系统谐波/间谐波高精度分析方法

更新时间：2025-08-13

- 基于切比雪夫窗的电力系统谐波/间谐波高精度分析方法
- Automation of Electric Power Systems Vol. 39, Issue 7, Pages: 117-123(2015)
- 作者机构：
  
  西南交通大学电气工程学院,四川省,成都市,610031
- 作者简介：
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- Published：2015
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SUN Zhongmin. [J]. Automation of electric power systems, 2015, 39(7): 117-123.
DOI：

SUN Zhongmin. [J]. Automation of electric power systems, 2015, 39(7): 117-123. DOI：

摘要

基于离散傅里叶变换的谐波分析方法通常采用加窗插值的方式来减小频谱泄漏和栅栏效应的影响。针对谐波/间谐波及负频率成分对关注频率存在频谱干扰

提出了基于切比雪夫窗的高精度谐波/间谐波分析方法。对信号加切比雪夫窗截断

并采用相位旋转及奇数点插值的方法

求解信号的频率、幅值和相角

极大地抑制了频谱泄漏。对经典谐波信号和电力谐波信号进行了仿真分析

计算结果表明

所提出的方法在谐波/间谐波测量上具有更高的测量精度

并且具有一定的抗噪性。

Abstract

The harmonic analysis method based on discrete Fourier transform usually adopts the mode of windowing and interpolation to reduce the influence of frequency spectrum leakage and fence effect. For the frequency spectrum interference from harmonics

inter-harmonics and negative frequency components to the harmonics of concern

a high precision harmonic and inter-harmonic analysis method based on Dolph-Chebyshev windows is proposed. The signal is truncated by Dolph-Chebyshev windows

and the frequency

amplitude and phase are solved through phase rotation and odd point interpolation

which significantly inhibits spectrum leakage. The classical harmonic signal and power harmonic signal are analyzed

and the results show that the proposed method has higher precision on harmonic and inter-harmonic measurement

as well as a certain anti-noise ability. This work is supported by National Natural Science Foundation of China (No. 51207130)

National High Technology Research and Development Program of China (863 Program) (No. 2012AA050208)

Specialized Research Fund for the Doctoral Program of Higher Education (SRFDP) of China (No. 20130184110002)

and Fundamental Research Funds for the Central Universities (No. 2682013CX015).

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