On the Simplification of Nonlinear DAE Systems in Analog Circuit Design

Tim Wichmann (), Ralf Popp (), Walter Hartong () and Lars Hedrich ()
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Tim Wichmann: Institut für Techno- und Wirtschaftsmathematik e.V.
Ralf Popp: University of Hanover, Institute of Microelectronic Systems
Walter Hartong: University of Hanover, Institute of Microelectronic Systems
Lars Hedrich: University of Hanover, Institute of Microelectronic Systems

A chapter in Computer Algebra in Scientific Computing CASC’99, 1999, pp 485-498 from Springer

Abstract: Abstract The behavior of nonlinear analog circuits is described by a set of differential algebraic equations (DAE). In this paper we present a symbolic simplification algorithm for such DAE systems which generates an approximative system. Besides the mathematical background we explain several local and global simplification techniques that axe applied to the system. Each modification step is controlled by an error calculation. To achieve a maximum number of simplifications and to avoid unnecessary modifications an optimized order, the so called ranking, is needed. We will present two different ranking methods and will show the results on an example.

Keywords: Ranking Method; Analog Circuit; Ranking Algorithm; Symbolic Analysis; Approximative System (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-60218-4_37

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DOI: 10.1007/978-3-642-60218-4_37

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