Coupling of Model Order Reduction and Multirate Techniquesfor Coupled Dynamical Systems

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