A new Lyapunov function for transient stability analysis of controlled power systems

In this paper, based on the existing transient energy function of uncontrolled power systems, controlled power systems with generator tripping or load shedding have been represented as a forced Hamiltonian system. On the basis of a more general Hamiltonian system theory, this paper presents a novel framework for transient stability analysis of controlled power systems. A new Lyapunov function which is suitable for transient stability analysis of power systems with generator tripping and load shedding is constructed by embedding the controlled power system into a larger Hamiltonian system for which a series of Casimir functions (i.e. first integrals) can be easily built. Numerical studies and comparison with other existing methods have been included