Stability Region and Radius in Electric Power Systems Under Sustained Random Perturbations

Two concepts are proposed to characterize the behavior of stochastic systems under sustained random perturbations in time: Using Lyapunov exponents we define the region where an electric power system can be operated under random perturbations without losing stability; and we characterize the maximum perturbation size that a system can sustain. The proposed methodology is applied to international test systems of nine and thirty-nine buses. © 2015 Elsevier Ltd. All rights reserved.