Modelling and discretization of circuit problems

M. Günther, U. Feldmann, E.J.W. Maten, ter

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

48 Citations (Scopus)
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Abstract

This chapter discusses the modeling aspect of differential-algebraic equations (DAEs). In computational engineering, the network modeling approach forms the basis for computer-aided analysis of time-dependent processes in multibody dynamics, process simulation, or circuit design. Its principle is to connect compact elements via ideal nodes, and to apply some kind of conservation rules for setting up equations. The mathematical model, a set of so-called network equations, is generated automatically by combining network topology with characteristic equations describing the physical behavior of network elements under some simplifying assumptions. Interconnects and semiconductor devices (i.e., transistors) are modeled by multi-terminal elements (multi-ports), for which the branch currents entering any terminal and the branch voltages across any pair of terminals are well-defined quantities. Interconnects and semiconductor devices (i.e., transistors) are modeled by multiterminal elements (multi-ports), for which the branch currents entering any terminal and the branch voltages across any pair of terminals are well-defined quantities.
Original languageEnglish
Title of host publicationNumerical analysis in electromagnetics
EditorsW.H.A. Schilders, E.J.W. Maten, ter
Place of PublicationAmsterdam
PublisherElsevier
Pages523-659
ISBN (Print)0-444-51375-2
DOIs
Publication statusPublished - 2005

Publication series

NameHandbook of Numerical Analysis
VolumeXIII

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