Variational integrators for nonlinear electric circuits |
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| Authors: | Sina Ober-Blöbaum Henning Lindhorst |
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| Institution: | 1. Computational Dynamics and Optimal Control, Department of Mathematics, University of Paderborn, Warburger Str. 100, 33098 Paderborn, Germany;2. Faculty of Electronic and Computer Science Engineering, Otto-von-Guerike-Universität Magdeburg, Universitätsplatz 2, 39106 Magdeburg, Germany |
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| Abstract: | The variational framework for linear electric circuits introduced in 1] is extended to general nonlinear circuits. Based on a constrained Lagrangian formulation that takes the basic circuit laws into account the equations of motion of a nonlinear electric circuit are derived. The resulting differential-algebraic system can be reduced by performing the variational principle on a reduced space and regularity conditions for the reduced Lagrangian are presented. A variational integrator for the structure-preserving simulation of nonlinear electric circuits is derived and demonstrated by numerical examples. (© 2014 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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