Skip to content
DraconiticResearch
Search Sources API
182,549 studies31 sourcesUpdated 4 min ago
PreprintarXiv licencearXiv

On the Application of Hybrid Mixed Domain Decomposition Methods to Permanent Magnet Synchronous Machines

  • Timon Seibel
  • Sebastian Schöps
  • Kersten Schmidt
Open at sourcePDFDOICite

Abstract

In this work, we study the application of a hybrid mixed domain decomposition(HMDD) method for the rotor-stator coupling of a permanent magnet synchronous machine. For this, we derive a variational formulation on the electric machine inspired by hybridized discontinuous Galerkin methods using a mixed magnetostatics problem, an affine material law and boundary conditions respecting the symmetry of the motor. We are then able to locate the resulting finite element method within the HMDD framework. This enables us naturally to transfer the well-posedness results and error estimates for the HMDD method to the finite element method considered in this work. Lastly, as a proof of concept, we consider an academic example and compare the resulting magnetic flux density and potential lines to their counterparts obtained by a well-established in-house code using iso-geometric analysis.

Related

  1. Inverter control for wind–solar–storage based on distributed generation and virtual synchronous machines
    Heng Cao
    PLOS OnePeer-reviewedCC BY 4.0Full textGeneral mathematicsGeneral physicsPLOSPMC
  2. A Fully Dual Domain Decomposition Method for Extreme Learning Machines Using GenEO Spectral Coarse Spaces
    Chang-Ock Lee, Byungeun Ryoo
    arXivPreprintarXiv licenceFull textNumerical analysis & scientific computingarXiv
  3. Computational study of Proper Orthogonal Decomposition methods for parametric approximations
    Bosco García-Archilla, Alicia García-Mascaraque, Julia Novo
    arXivPreprintCC BY 4.0Full textNumerical analysis & scientific computingarXiv
  4. Quantum-Classical Hybrid Methods for Optimization: Lessons from Classical Decomposition
    David E. Bernal Neira
    arXivPreprintarXiv licenceFull textOptimisation & controlQuantum physics & quantum informationarXiv
  5. pqSEDMD: Subspace Methods for Extended Dynamic Mode Decomposition Identification
    Camilo Garcia-Tenorio, Alan Vande Wouwer
    arXivPreprintCC BY-NC-ND 4.0Full textOptimisation & controlarXiv

Cite

BibTeXRIS
BibTeX
@misc{seibel2026application,
  title = {{On the Application of Hybrid Mixed Domain Decomposition Methods to Permanent Magnet Synchronous Machines}},
  author = {Timon Seibel and Sebastian Schöps and Kersten Schmidt},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2605.31032},
  eprint = {2605.31032},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.31032},
}
RIS
TY  - UNPB
TI  - On the Application of Hybrid Mixed Domain Decomposition Methods to Permanent Magnet Synchronous Machines
AU  - Timon Seibel
AU  - Sebastian Schöps
AU  - Kersten Schmidt
PY  - 2026
DA  - 2026/09/01
PB  - arXiv
DO  - 10.48550/arxiv.2605.31032
UR  - https://arxiv.org/abs/2605.31032
AB  - In this work, we study the application of a hybrid mixed domain decomposition(HMDD) method for the rotor-stator coupling of a permanent magnet synchronous machine. For this, we derive a variational formulation on the electric machine inspired by hybridized discontinuous Galerkin methods using a mixed magnetostatics problem, an affine material law and boundary conditions respecting the symmetry of the motor. We are then able to locate the resulting finite element method within the HMDD framework. This enables us naturally to transfer the well-posedness results and error estimates for the HMDD method to the finite element method considered in this work. Lastly, as a proof of concept, we consider an academic example and compare the resulting magnetic flux density and potential lines to their counterparts obtained by a well-established in-house code using iso-geometric analysis.
ER  -