ABSTRACT
Control design is based on linearized system models. For large-signal disturbances, time-domain simulation is suitable to be used to examine the system behavior. For a simple system, we can rely on Lyapunov stability theory to examine large-signal stability. This chapter presents the Lyapunov stability criterion. It uses the Lyapunov stability theorem to judge if a single-machine infinite-bus (SMIB) power system is stable or not. The chapter examines a SMIB system's large-signal stability, or transient stability by the equal-area method, which is based on the Lyapunov stability criterion. Analysis results are then validated by time-domain simulation results. Time-domain simulation is conducted to validate the analysis results from equal-area criteria. The chapter also presents results from time-domain simulation for a SMIB system subject to a three-phase ground fault at the generator bus.
