数学形态学在电力系统中的应用综述

Mathematical morphology review and its applications in power system

数学形态学是一种非线性信号处理和分析工具,对电力系统信号的特征提取完全在时域中进行,且幅值不偏移和相位不衰减,很多性质优于小波分析理论,其发展正在受到越来越多关注,但是系统的总结该技术的应用及研究并不多见。文中阐述了数学形态学的基本理论,并介绍了电力系统常用的一些形态学方法,在将形态学与小波分析进行比较后,综述了数学形态学在电力系统中的应用,如暂态信号谐波分析、奇异点检测与消噪、电能质量检测、故障诊断、继电保护与故障测距,分析了其与电力系统中其他理论或方法如小波变换、分形理论、神经网络等的结合。结论提出了若干需要解决的问题,并展望了其在电力系统中的应用前景。

Mathematical morphology （MM） is a nonlinear signal processing and analysing technique which extracts the character of the power system signals completely in the time domain, while the amplitude spectrum doesn＇t shift and the phase spectrum doesn＇t attenuate, and many properties are better than wavelet transform, mathematical morphology becomes more important,but there is not summarization for it.In this paper, the basic theroy of mathematical morphology is expatiated, and the morphology methods often used are introduced, moreover, after compared with the wavelet analysis, the applications in power system are summarized, which in transient signal harmonic wave analysis, singularities detection and denoising, power quality detection, fault diagnosis, protective relaying and fault location, and the combination with the other theroies and methods are analysed, such as wavelet transform, fractal theory and neural network .In the conclusion, some problems to be solved are put forward and the prospect of the MM in power systems is proposed.