Nonlinear dynamics, control, and stability analysis of power systems

This paper considers nonlinear analysis and design for highly nonlinear power systems. These nonlinear features are addressed in terms of the Lyapunov stability theory. The current trends in application of heavily loaded power systems motivate the use of a nonlinear framework to handle a large variety of nonlinear phenomena. To ensure a complete understanding of the power system dynamics, as well as to tackle nonlinear control problems, this paper offers an integrated perspective. In particular, analysis and design are performed by using nonlinear augmented models of power systems (generation system - transmission line - load). All aspects of nonlinear dynamics and controls are explored by applying the Lyapunov stability theory. By using the Lyapunov second method, new results are offered, and examples demonstrate the proposed analysis and design procedures.