PDAE models of integrated circuits and index analysis

Martin Bodestedt and Caren Tischendorf

Mathematical and Computer Modelling of Dynamical Systems, 2007, vol. 13, issue 1, 1-17

Abstract: A coupled system modelling an electric circuit containing semiconductors is presented. The modified nodal analysis leads to a differential algebraic equation (DAE) describing the electric network. The nonlinear behaviour of the semiconductors is modelled by the drift diffusion equations. Coupling relations are defined and a generalization of the tractability index to systems of infinite dimensions is presented and applied to the resulting partial differential algebraic equation (PDAE). The PDAE turns out to have the same index as the electrical network equations.

Date: 2007
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DOI: 10.1080/13873950600557329

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