Power System Transient Stability Analysis: Formulation as Nearly Hamiltonian Systems

Necessary and sufficient conditions for asymptotic stability of an equilibrium for power systems are established. The authors consider power systems with damping and model these as nearly Hamiltonian systems. Using the invariance principle for ordinary differential equations, a novel method of assessing asymptotic stability is developed. The results shed further light on the mechanism of instability in power systems. An estimate of the domain of attraction of the equilibrium can also be obtained using these results. Furthermore analytical justification is provided for concept of potential energy boundary surface in power systems.