In this paper the General Minimal Residual (GMRES) is applied for the dynamic simulation of a power system. GMRES is an iterative method belonging to the class of conjugate gradient methods which is well suited for parallelisation and easily programmable. When used with an appropriate preconditioner speed ups are considerable compared to the LU factorization method. Results on a workstation as well as a supercomputer are presented for a 10 machine 39 bus system to illustrate the speed ups.

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