A Joint DAE/PDE Model for Interconnected Electrical Networks

M. Günther

Mathematical and Computer Modelling of Dynamical Systems, 2000, vol. 6, issue 2, 114-128

Abstract: To model transmission lines effects in integrated circuits, we couple the network equations for the circuits with the telegrapher's equations for the transmission lines. This results in an initial/boundary value problem for a mixed system of Differential-Algebraic Equations (DAEs) and hyperbolic Partial Differential Equations (PDEs). By semidiscretization the system is transformed into differential-algebraic equations in time only. We apply this modeling approach to a CMOS ring oscillator, an oscillatory circuit with transmission lines as coupling units, and discuss the simulation results.

Date: 2000
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DOI: 10.1076/1387-3954(200006)6:2;1-M;FT114

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