Authors

Markus Clemens, Marvin-Lucas Henkel, Fotios Kasolis, Michael Günther

Abstract

Electromagneto-quasistatic (EMQS) field formulations allow to model resistive, capacitive, and inductive field effects while neglecting wave propagation. These field formulations are based on the Darwin-Ampére equation and yield different approximations of the full set of Maxwell’s equations depending on the choice of additional equations. Various discrete EMQS formulations are analyzed using the port-Hamiltonian system framework. It is shown that only combinations of the Darwin-Ampere equation and the Maxwell continuity equation yield port-Hamiltonian differential-algebraic system of equations (pH-DAE) which implies their numerical stability, energy conservation related to a specific EMQS variant of the Hamiltonian and dissipativity results.

Citation

  • Journal: 2024 IEEE 21st Biennial Conference on Electromagnetic Field Computation (CEFC)
  • Year: 2024
  • Volume:
  • Issue:
  • Pages: 1–2
  • Publisher: IEEE
  • DOI: 10.1109/cefc61729.2024.10585831

BibTeX

@inproceedings{Clemens_2024,
  title={{Structural Aspects of Electromagneto-Quasistatic Field Formulations of Darwin-Type Derived in the Port-Hamiltonian System Framework}},
  DOI={10.1109/cefc61729.2024.10585831},
  booktitle={{2024 IEEE 21st Biennial Conference on Electromagnetic Field Computation (CEFC)}},
  publisher={IEEE},
  author={Clemens, Markus and Henkel, Marvin-Lucas and Kasolis, Fotios and Günther, Michael},
  year={2024},
  pages={1--2}
}

Download the bib file

References

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