Abstract

This paper presents a Lyapunov function for power system considering with dynamics of induction machine characteristic by the state function method. The Lyapunov function for power system with induction machine is hoped for being settled for a long time. In the composition process of proposed Lyapunov function, the slipping dynamic characteristic of the induction machine is implicitly expressed. As a result, the dynamic characteristic of induction machine becomes equivalent to a synchronous machine with the voltage adjustment mechanism. The Lyapunov function is composed under the condition of some approximations.

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