Diana
Estévez Schwarz, Uwe Feldmann, Roswitha März, Sandra Sturtzel,
Caren Tischendorf
Finding
Beneficial DAE Structures in Circuit Simulation
Preprint series: Institut für Mathematik, Humboldt-Universität
zu Berlin (ISSN 0863-0976)
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MSC:
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65L80 Methods for differential-algebraic equations
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94C05 Analytic circuit theory
Abstract: Circuit simulation
is a standard task for the computer-aided
design of electronic circuits. The transient analysis is well
understood and realized in powerful simulation packages for
conventional circuits. But further developments in the production
engineering lead to new classes of circuits which may cause difficulties
for the numerical integration. The dimension of circuit models can
be quite large (105 equations). The complexity of the models
demands a higher abstraction level. In this paper, we analyze
electric circuits with respect to their structural properties. We
discuss the relevant subspaces of the resulting differential algebraic
equations (DAEs) and present algorithms for calculating the index
as well as consistent initial values.
Keywords: circuit simulation; differential-algebraic
equation; DAE; index;
structural properties; consistent initial values; breakpoints; modified
nodal analysis; MNA