Structural Aspects of Electromagneto-Quasistatic Field Formulations of Darwin-Type Derived in the Port-Hamiltonian System Framework

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 several symmetric EMQS formulations, e.g., combinations of the Darwin–Ampére equation and the Maxwell continuity equation, yield port-Hamiltonian differential-algebraic equation (pH-DAE) systems, which implies their numerical stability, energy conservation related to a specific EMQS variant of the Hamiltonian and dissipativity results.

Citation

Journal: IEEE Transactions on Magnetics
Year: 2025
Volume: 61
Issue: 1
Pages: 1–4
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
DOI: 10.1109/tmag.2024.3498593

BibTeX

@article{Clemens_2025,
  title={{Structural Aspects of Electromagneto-Quasistatic Field Formulations of Darwin-Type Derived in the Port-Hamiltonian System Framework}},
  volume={61},
  ISSN={1941-0069},
  DOI={10.1109/tmag.2024.3498593},
  number={1},
  journal={IEEE Transactions on Magnetics},
  publisher={Institute of Electrical and Electronics Engineers (IEEE)},
  author={Clemens, Markus and Henkel, Marvin-Lucas and Kasolis, Fotios and Günther, Michael},
  year={2025},
  pages={1--4}
}

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References

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