Author(s) :
Lena Scholz
Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 1-2017
MSC 2000
- 34A09 Implicit equations, differential-algebraic equations
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65L80 Methods for differential-algebraic equations
Abstract :
We consider the Signature Method for the structural analysis of differential-algebraic equations (DAEs) that arise in the modeling and simulation of electrical circuits. Different formulations of the set of model equations are considered. For some formulations we show that the structural approach may fail for certain circuit topologies, while other formulations are better suited for a structural analysis. The results are illustrated by a number of examples.
Keywords :
Differential-algebraic equation, structural analysis, signature method, modified nodal analysis, MNA, modified loop analysis, MLA, branch-oriented model