Viable Computation of the Largest Lyapunov Characteristic Exponent for Power Systems

Abstract

Stochastic Differential Algebraic Equations (SDAEs) are used to model power systems. However, there is no universally accepted method to properly evaluate the stability of such models. The theoretical and numerical aspects of the computation of the largest Lyapunov Characteristic Exponent (LCE) for power systems with the inclusion of stochastic processes is discussed as a method to provide a measure of stability. A semi-implicit formulation of power systems is employed in order to exploit parallelism, sparsity and to have low memory requirements. Three case studies are considered, two based on the IEEE 14-bus system as well as a 1,479-bus model of the all island Irish transmission grid.