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Large-Scale Networks in Engineering and Life SciencesMathematical Modeling and Analysis of Nonlinear Time-Invariant RLC Circuits

Large-Scale Networks in Engineering and Life Sciences: Mathematical Modeling and Analysis of... [We give a basic and self-contained introduction to the mathematical description of electrical circuits that contain resistances, capacitances, inductances, voltage, and current sources. Methods for the modeling of circuits by differential–algebraic equations are presented. The second part of this paper is devoted to an analysis of these equations.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Large-Scale Networks in Engineering and Life SciencesMathematical Modeling and Analysis of Nonlinear Time-Invariant RLC Circuits

Part of the Modeling and Simulation in Science, Engineering and Technology Book Series
Editors: Benner, Peter; Findeisen, Rolf; Flockerzi, Dietrich; Reichl, Udo; Sundmacher, Kai
Reis, Timo
Large-Scale Networks in Engineering and Life Sciences — Jul 30, 2014
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73 pages

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Publisher
Springer International Publishing
Copyright
© Springer International Publishing Switzerland 2014
ISBN
978-3-319-08436-7
Pages
125 –198
DOI
10.1007/978-3-319-08437-4_2
Publisher site
See Chapter on Publisher Site

Abstract

[We give a basic and self-contained introduction to the mathematical description of electrical circuits that contain resistances, capacitances, inductances, voltage, and current sources. Methods for the modeling of circuits by differential–algebraic equations are presented. The second part of this paper is devoted to an analysis of these equations.]

Published: Jul 30, 2014

Keywords: Electrical circuits; Modelling; Differential–algebraic equations; Modified nodal analysis; Modified loop analysis; Graph theory; Maxwell’s equations

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