Uncertainty analysis of power system time-domain simulation based on generalized polynomial chaos method

This paper presents an efficient approach to study transient stability of power system under uncertain conditions. This approach comprises generalized polynomial chaos (gPC) expansion techniques, by which random variables are approximated, and Galerkin method, by which the approximating coefficients are worked out. This approach transfers stochastic problems into deterministic ones, which calls for computation for only once. When independent random variables are less, this approach can be more efficient than the Monte Carlo simulation(MCs) method. The precision of this approach is verified by the case studies in a 9 bus system.