希尔伯特-黄变换在谐波和间谐波检测中的应用

Application of Empirical Mode Decomposition and Hilbert Transform on Detection of Harmonics and Inter-Harmonics

提出了一种检测电力谐波和间谐波的方法。将Hilbert-Huang变换(Hilbert-Huang Transform,HHT)用于谐波检测中,应用该方法可以提取任意频次的谐波信号。首先,运用经验模态分解处理含谐波的信号,得到一组平稳的固有模态函数分量。然后,对每个固有模态函数分量进行希尔伯特变换,得到每个模态分量的瞬时幅值和瞬时频率,从而检测出各种分量的谐波和间谐波的参数。仿真研究表明该方法的可行性与有效性,并且可以准确地确定谐波的幅值、频率和时间。

In this paper, a new method is presented to detect harmonics and inter-harmonics, which adopts the Hilbert-Huang transform （HHT）. With this method, harmonics with any frequency can be extracted. First, the harmonic signal is decomposed into a set of stationary intrinsic mode function （IMF） components by empirical mode decomposition （EMD）. Then, every IMF component is conducted by Hilbert transform. The instantaneous amplitude and frequency of the component can be accurately computed, and thus the parameters of harmonics and inter-harmonies of every decomposed component are detected. Simulation results show that this method is feasible and effective, and can accurately determine the time, amplitude and frequency of harmonics and inter-harmonics.