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Mathematical Modeling and Analysis of Nonlinear Time-Invariant RLC Circuits

  • Timo ReisEmail author
Part of the Modeling and Simulation in Science, Engineering and Technology book series (MSSET)

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.

Keywords

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

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Fachbereich MathematikUniversität HamburgHamburgGermany

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