Stochastic Power System Simulation Using the Adomian Decomposition Method

For dynamic security assessment considering uncertainties in grid operations, this paper proposes an approach for time-domain simulation of a power system having stochastic loads. The proposed approach solves a stochastic differential equation model of the power system in a semi-analytical way using the Adomian decomposition method. The approach generates semi-analytical solutions expressing both deterministic and stochastic variables explicitly as symbolic variables so as to embed stochastic processes directly into the solutions for efficient simulation and analysis. The proposed approach is tested on the New England 10-machine 39-bus system with different levels of stochastic loads. The approach is also benchmarked with a traditional stochastic simulation approach based on the Euler-Maruyama method. The results show that the new approach has better time performance and a comparable accuracy.