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PreprintarXiv licencearXiv

Energy-Based Anisotropic Hysteresis Modeling for Permanent Magnets

  • Walter Friza
  • Manfred Kaltenbacher
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Abstract

Modeling the anisotropic hysteresis behaviour of permanent magnets requires vector hysteresis models capable of representing preferred (easy) magnetization directions. This work extends the energy-based vector play model to anisotropic materials by replacing the spherical pinning region of each particle with an ellipsoid, whose semi-axes represent direction-dependent pinning forces. Special attention is paid to the geometrically consistent adaptation of the update formula for the vector play model. The anhysteretic part of the model is also given an angular dependency. The model is compared to measurements taken from a NdFeB magnet and reproduces the measured loops for field inclinations of up to 30° from the easy axis.

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Cite

BibTeXRIS
BibTeX
@misc{friza2026energybased,
  title = {{Energy-Based Anisotropic Hysteresis Modeling for Permanent Magnets}},
  author = {Walter Friza and Manfred Kaltenbacher},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.06980},
  eprint = {2611.06980},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.06980},
}
RIS
TY  - UNPB
TI  - Energy-Based Anisotropic Hysteresis Modeling for Permanent Magnets
AU  - Walter Friza
AU  - Manfred Kaltenbacher
PY  - 2026
DA  - 2026/11/04
PB  - arXiv
DO  - 10.48550/arxiv.2611.06980
UR  - https://arxiv.org/abs/2611.06980
AB  - Modeling the anisotropic hysteresis behaviour of permanent magnets requires vector hysteresis models capable of representing preferred (easy) magnetization directions. This work extends the energy-based vector play model to anisotropic materials by replacing the spherical pinning region of each particle with an ellipsoid, whose semi-axes represent direction-dependent pinning forces. Special attention is paid to the geometrically consistent adaptation of the update formula for the vector play model. The anhysteretic part of the model is also given an angular dependency. The model is compared to measurements taken from a NdFeB magnet and reproduces the measured loops for field inclinations of up to 30° from the easy axis.
ER  -