【摘要】 采用线性矩阵不等式LMI(linear matrix inequality)方法,进行电力系统的时滞稳定性分析。文中首先通过Lyqpunov-Krasovskii方法列解李雅普诺夫泛函,将时滞系统的稳定性判据表示为一组线性矩阵不等式;随后研究了在李雅诺夫泛函中引入松弛因子的方法来减少相关判据的保守性;最后利用Matlab和SCILab中的LMI求解工具,对某单机无穷大系统和WSCC-3机9节点系统,分析单一和双时滞情况下系统可承受的最大允许时滞,验证了所提方法的有效性。更多还原

【Abstract】 Linear matrix inequality(LMI)is used to analyze power system stability with considering time-delay.A Lyapunov function is constructed based on Lyapunov-Krasovskii stability theory,which can be transferred into a set of LMIs and be easily solved by toolbox of Matlab or SCILab.Some slack variables are introduced to reduce the conservativeness of the method in solution process.The single-machine-infinite-bus system and WSCC 3-generator-9-bus system are used as cased.The maximum allowable time-delays on one time-delay and two time-delays are both considered and verify the effectiveness of proposed method.更多还原