Magnetic Field Conforming Formulations for Foil Windings
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916021515845632 |
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| author | Denis, Louis Paakkunainen, Elias Rasilo, Paavo Schöps, Sebastian Vanderheyden, Benoît Geuzaine, Christophe |
| author_facet | Denis, Louis Paakkunainen, Elias Rasilo, Paavo Schöps, Sebastian Vanderheyden, Benoît Geuzaine, Christophe |
| contents | We extend the foil winding homogenization method to magnetic field conforming formulations. We first propose a full magnetic field foil winding formulation by analogy with magnetic flux density conforming formulations. We then introduce the magnetic scalar potential in non-conducting regions to improve the efficiency of the model. This leads to a significant reduction in the number of degrees of freedom, particularly in 3-D applications. The proposed models are verified on two frequency-domain benchmark problems: a 2-D axisymmetric problem and a 3-D problem. They reproduce results obtained with magnetic flux density conforming formulations and with resolved conductor models that explicitly discretize all turns. Moreover, the models are applied in the transient simulation of a high-temperature superconducting coil. In all investigated configurations, the proposed models provide reliable results while considerably reducing the size of the numerical problem to be solved. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_11191 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Magnetic Field Conforming Formulations for Foil Windings Denis, Louis Paakkunainen, Elias Rasilo, Paavo Schöps, Sebastian Vanderheyden, Benoît Geuzaine, Christophe Computational Engineering, Finance, and Science We extend the foil winding homogenization method to magnetic field conforming formulations. We first propose a full magnetic field foil winding formulation by analogy with magnetic flux density conforming formulations. We then introduce the magnetic scalar potential in non-conducting regions to improve the efficiency of the model. This leads to a significant reduction in the number of degrees of freedom, particularly in 3-D applications. The proposed models are verified on two frequency-domain benchmark problems: a 2-D axisymmetric problem and a 3-D problem. They reproduce results obtained with magnetic flux density conforming formulations and with resolved conductor models that explicitly discretize all turns. Moreover, the models are applied in the transient simulation of a high-temperature superconducting coil. In all investigated configurations, the proposed models provide reliable results while considerably reducing the size of the numerical problem to be solved. |
| title | Magnetic Field Conforming Formulations for Foil Windings |
| topic | Computational Engineering, Finance, and Science |
| url | https://arxiv.org/abs/2504.11191 |