Modeling Circuit Systems Coupled with Distributed Semiconductor Equations

Abstract

For a refined network analysis, we are interested in circuit simulation including distributed models of semiconductors. We construct a mathematical model for nonlinear electric networks containing semiconductors described by the drift-diffusion equations. The focus lies on the coupling of the network DAEs and the semiconductor PDEs. Furthermore, we study the behavior of the coupled systems with respect to time dependent perturbations using an index concept for abstract DAEs. We present a network topological criterion that guarantees index-1 systems.