Coupling Parareal and Waveform Relaxation methods for power systems

In this paper, a coupling strategy of the Parareal method and the Waveform Relaxation method is presented for power systems analysis. After a brief presentation of the classical Waveform Relaxation method and the Parareal method, the coupled Parareal-Waveform Relaxation method, recently introduced for the solution of the heat equation, is introduced. This coupled method is here extended to the solution of large power systems. Applications on a simplified European electricity network illustrate the impressive performance of this new method for the solution of large power systems on parallel architectures.