Accelerated Waveform Relaxation methods for power systems

Abstract

In this paper, the authors investigate the ability of the Waveform Relaxation method to deal with large power systems and assess its efficiency. As any domain decomposition methods, the number of iterations required by the Waveform Relaxation method is strongly dependent on the size of the system, the number of subdomains, and the initialization values. To cope with these dependencies, an initialization technique to reduce the number of iterations and a preconditioning technique to maintain a high convergence rate for large number of subsystems are here proposed. Applications on a European electricity network illustrate the great efficiency of the proposed methods for the solution of large power systems.