Waveform Relaxation for Field/Circuit Coupled DAEs with Generalized Capacitances
For researchers in computational electromagnetics and circuit simulation, this provides a theoretical guarantee for cosimulation convergence in systems with generalized capacitances, addressing a known divergence issue.
The paper establishes a novel topological convergence criterion for waveform relaxation applied to field/circuit coupled differential-algebraic equations with generalized capacitances, ensuring convergence for a class of higher-index systems. Numerical simulations validate the theoretical results.
Field/circuit coupling is a common approach when a lumped representation of a certain electrotechnical device is not accurate enough. To exploit existing code and underlying properties of the coupled systems, cosimulation techniques such as waveform relaxation can be used. The coupled system is of differential-algebraic type, which can potentially lead to divergence. This paper presents a novel, sufficient topological convergence criterion for field/circuit coupled systems of higher index containing a generalized capacitance. Hereby, the criterion holds for a full range of field systems whose structure can be classified as a generalized capacitance. Finally, the theoretical results are supported by numerical simulations.