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Efficient transient simulation of non-linear dynamic networks with discontinuous forcing

: Uhle, Thomas; Elst, Günter

Breitenecker, F. ; Vienna University of Technology:
MATHMOD 2012, 7th Vienna Conference on Mathematical Modelling. CD-ROM : Full Paper Preprint Volume; February 15 - 17, 2012
Vienna: ARGESIM, 2012 (ARGESIM report S38)
5 S.
Conference on Mathematical Modelling (MATHMOD) <7, 2012, Vienna>
Fraunhofer IIS, Institutsteil Entwurfsautomatisierung (EAS) ()
differential equation; discontinuity; nonlinear system; numerical method; transient analysis

New technologies produce highly complex hybrid systems containing analogue components next to digital hardware and software. Simulating those mixed-signal systems exhibits discontinuities in signals due to the nature of the digital components. In this paper, an efficient and accurate method for the transient analysis of non-linear dynamic systems is presented that can handle discontinuous forcing functions which may occur as prescribed voltages or forces, for instance. It is based on a transformation of a model's equation system by substituting the time for a new independent variable. This approach facilitates suitable system-level models that altogether maintain the performance that is needed for an overall system-level simulation of complex application scenarios.