基于加窗离散傅里叶算法的谐波分析初始相位敏感性研究

MA Hongzhong

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基于加窗离散傅里叶算法的谐波分析初始相位敏感性研究

更新时间：2025-08-13

- 基于加窗离散傅里叶算法的谐波分析初始相位敏感性研究
- Automation of Electric Power Systems Vol. 38, Issue 12, Pages: 88-94(2014)
- 作者机构：
  
  河海大学能源与电气学院,江苏省,南京市,210098
- 作者简介：
- 基金信息：
- DOI：
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- Published：2014
- 稿件说明：
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MA Hongzhong. [J]. Automation of electric power systems, 2014, 38(12): 88-94.
DOI：

MA Hongzhong. [J]. Automation of electric power systems, 2014, 38(12): 88-94. DOI：

摘要

分析了初始相位敏感性产生的根源及影响初始相位敏感性大小的因素，并提出减小初始相位敏感性的方法以提高加窗离散傅里叶变换（DFT）算法的稳定性。理论分析和数值结果表明：初始相位的随机性会引入谐波幅值计算误差，但并不是所有的加窗DFT算法谐波分析都需要考虑相位敏感性；频率偏差一定条件下，初始相位敏感性大小由窗函数的旁瓣峰值电平决定，旁瓣峰值电平越低，初始相位敏感性越小，旁瓣峰值电平-58 dB可以作为衡量窗函数是否需要考虑初始相位敏感性的参考值。实际工程中，可以通过增加采样长度的方法减小初始相位敏感性的影响。

Abstract

The origin of initial-phase sensitivity and the main factors influencing the level of initial-phase sensitivity are analyzed

then the method of reducing initial-phase sensitivity is proposed to increase the stability of the windowed discrete Fourier transform (DFT) algorithm. Theoretical analysis and numerical results indicate that randomness of initial-phase will bring about harmonic amplitude calculation errors. However

not every windowed DFT algorithm needs consideration of the initial-phase sensitivity. Under a definite frequency deviation

the level of initial-phase sensitivity is determined by the sidelobe peak level of window functions. The lower the sidelobe peak level is

the smaller the initial-phase sensitivity will be. The sidelobe peak level -58 dB can be a reference to determining whether the initial-phase sensitivity needs to be considered in the window functions. In practical engineering

the method of increasing the length of time record can be used to reduce the influence of initial-phase sensitivity.

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