A Condensed Form for Nonlinear Differential-Algebraic Equations in Circuit Theory

Timo Reis () and Tatjana Stykel ()
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Timo Reis: University of Hamburg, Department of Mathematics
Tatjana Stykel: Universität Augsburg, Institut für Mathematik

Chapter Chapter 18 in Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory, 2015, pp 503-531 from Springer

Abstract: Abstract We consider nonlinear differential-algebraic equations arising in modelling of electrical circuits using modified nodal analysis and modified loop analysis. A condensed form for such equations under the action of a constant block diagonal transformation will be derived. This form gives rise to an extraction of over- and underdetermined parts and an index analysis by means of the circuit topology. Furthermore, for linear circuits, we construct index-reduced models which preserve the structure of the circuit equations.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-15260-8_18

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DOI: 10.1007/978-3-319-15260-8_18

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