Splitting Methods for Linear Circuit DAEs of Index 1 in port-Hamiltonian Form

Authors

Abstract

Operator splitting is a powerful method for numerical investigation of complex models. This method was successfully used for ordinary and partial differential equations (ODEs and PDEs). In constrained dynamical problems as electric circuits or energy transport networks, differential-algebraic equations (DAEs) arise. The constraints prevent a simple transfer of operator splitting from ODEs to DAEs. Here, we present an approach for splitting linear circuit DAEs of index 1 based on a port-Hamiltonian modeling that we derive from loop and cutset equations by a topological decoupling. Finally, we present convergence results for the proposed DAE operator splitting.

Citation

ISBN: 9783030842376
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-84238-3_21

BibTeX

@inbook{Diab_2021,
  title={{Splitting Methods for Linear Circuit DAEs of Index 1 in port-Hamiltonian Form}},
  ISBN={9783030842383},
  ISSN={2198-3283},
  DOI={10.1007/978-3-030-84238-3_21},
  booktitle={{Scientific Computing in Electrical Engineering}},
  publisher={Springer International Publishing},
  author={Diab, Malak and Tischendorf, Caren},
  year={2021},
  pages={211--219}
}

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References

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