Transient Stability Online Simulation by Symplectic Runge-Kutta Method and FGMRES Solver

Abstract

Abstract-This paper proposes the application of the symplectic Runge-Kutta algorithm combined with the flexible GMRES method to solve the differential algebraic equations encountered in the power system transient stability simulation. In the proposed method, the s-stage 2s-order symplectic Runge-Kutta is used to convert the differential algebraic system in to a set of nonlinear algebraic equations, and then the large algebraic system is solved using a flexible inner-outer preconditioned GMRES method. The proposed method is of inherently parallel. The numerical simulation results obtained on IEEE 145-bus test system show that, the proposed method can achieve significant improvement in speed as compared to the conventional approach. Keywords-transient stability simulation；parallel algorithm； symplectic algorithm；flexible GMRES method；preconditioner