Coupling of model order reduction and multirate techniques for coupled dynamical systems

Abstract In refined network simulation one is faced with simulating coupled dynamical systems, as for instance circuits are coupled to heat or electromagnetics. Simulation costs of such coupled systems can be reduced by both model order reduction and multirate techniques. In this paper we discuss the coupling of both approaches by linking the slowest-first multirate technique to the nonlinear proper orthogonal decomposition model order reduction. For a nonlinear coupled thermal-electrical test example numerical results show the proven convergence of the combined reduced order multirate scheme.