基于希尔伯特–黄变换的电力系统小干扰稳定分析方法

Analysis Method for Small Signal Stability of Power System Based on Hilbert-Huang Transform

采用特征值求解分析系统小干扰稳定时存在不足:全部特征值的求解在大规模电力系统中会出现"维数灾";分析大规模系统的部分特征值求解方法可能遗漏某些重要的模态。为此,提出一种基于时域特性曲线分析的电力系统小干扰稳定分析方法。该方法基于矩阵指数函数的计算,获得表征系统小干扰稳定性的时频特性曲线,通过希尔伯特–黄变换(Hilbert-Huang Transform,HHT)方法分析该时频特性曲线获取系统的模态参数,进行小干扰稳定分析。最后,通过WSCC 3机9节点系统算例验证了该方法的有效性。

There are deficiencies of the solution to eigenvalue for analyzing small signal stability of the power system including dimension disasters of solutions to all eigenvalues in large scale power systems and part eigenvalue solving method for large scale systems being likely to leave out some important modals. Therefore,this paper proposes a kind of analysis method for small signal stability of power system based on time-domain characteristic curve analysis,which is based on calculation on matrix exponential to obtain the time-domain characteristic curve representing small signal stability of the system. Meanwhile,it is able to obtain modal parameters of the system by analyzing this time-domain characteristic curve based on Hilbert-Huang transform method so as to conduct analysis on small signal stability. Finally,example analysis on WSCC3 machine with nine nodes verifies validity of this method.