Multirate DAE/ODE-Simulation and Model Order Reduction for Coupled Field-Circuit Systems

Considering distributed and lumped electromagnetic effects in device simulation yields coupled field-circuit systems, which are high dimensional systems of partial-differential-algebraic equations. Moreover, such systems exhibit largely varying time scales and are difficult in the numerical handling. To exploit the different dynamical behaviour of circuit and field equations, we propose multirate time integration schemes which are extended to differential-algebraic equations. These schemes are also combined with model reduction of a slow changing subsystem of magneto-quasistatic equations which significantly decreases the computational effort.