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Variational integrators for nonlinear electric circuits
Author(s) -
OberBlöbaum Sina,
Lindhorst Henning
Publication year - 2014
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201410441
Subject(s) - variational integrator , electronic circuit , nonlinear system , integrator , lagrangian , electrical network , variational principle , control theory (sociology) , mathematics , topology (electrical circuits) , computer science , physics , mathematical analysis , voltage , quantum mechanics , control (management) , artificial intelligence , combinatorics
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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