A Cosimulation Framework for Multirate Time Integration of Field/Circuit Coupled Problems

This paper proposes a framework of waveform relaxation methods to simulate electromagnetic fields coupled to electric networks. Within this framework, a guarantee for convergence and stability of Gau beta-Seidel-type methods is found by partial differential algebraic equation (PDAE) analysis. It is shown that different time step sizes in different parts of the model can be automatically chosen according to the problem's dynamics. A finite-element model of a transformer coupled to a circuit illustrates the efficiency of multirate methods.