Abstract
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.
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