Modeling Circuit Systems Coupled with Distributed Semiconductor Equations

Caren Tischendorf

MSC 2000

94C05 Analytic circuit theory

65J05 General theory

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.