Speed-up the computing efficiency of waveform relaxation method for power system transient stability

Abstract

This paper deals with some improvements of the Waveform Relaxation method for large power systems transient stability analysis. In this context, the classical Waveform Relaxation iterative method is usually not efficient due to its slow convergence. The convergence speed depends on a lot of parameters such as the model, the disturbance nature, the number of subdomains created by the decomposition, the initialization, the time domain length, etc. In order to make the method competitive with usual and mastered sequential methods, some important points are here investigated such as an initialization of nonlinear integrations with linear solutions and a preconditioning technique to deal with a large number of subsystems. These innovative methods can bring interesting speedups for large power systems as illustrated in the presented numerical experiments on a large and realistic European power system.