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 of the right-hand side using an index concept for abstract DAEs. We present a network topological criterion that guarantees index-1 systems.
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Tischendorf, C. (2003). Modeling Circuit Systems Coupled with Distributed Semiconductor Equations. In: Antreich, K., Bulirsch, R., Gilg, A., Rentrop, P. (eds) Modeling, Simulation, and Optimization of Integrated Circuits. ISNM International Series of Numerical Mathematics, vol 146. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8065-7_15
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DOI: https://doi.org/10.1007/978-3-0348-8065-7_15
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