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DAE-Index and Convergence Analysis of Lumped Electric Circuits Refined by 3-D Magnetoquasistatic Conductor Models

  • Sebastian SchöpsEmail author
  • Andreas Bartel
  • Herbert De Gersem
  • Michael Günther
Conference paper
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 14)

Abstract

In this paper the field/circuit coupling is reconsidered for (non-linear) lumped electric circuits refined by 3-D magnetoquasistatic conductor models, where the circuit is described by modified nodal analysis and the field is discretized in terms of the finite integration technique. This leads to the coupling of systems of differential-algebraic equations, for which two numerical approaches are proposed, the weak coupling (co-simulation) and strong coupling (monolithic). The DAE-index of the subproblems and of the full problem are analyzed, then convergence properties of the co-simulation are studied. Finally computational results of a simple half rectifier circuit are exemplarily given to prove the applicability of the concepts.

Keywords

Electric Circuit Conductor Model Conductivity Matrix Magnetic Vector Potential Node Potential 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Sebastian Schöps
    • 1
    Email author
  • Andreas Bartel
    • 1
  • Herbert De Gersem
    • 2
  • Michael Günther
    • 1
  1. 1.BU WuppertalWuppertalGermany
  2. 2.KU LeuvenLeuvenBelgium

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