What Formulation Should One Choose for Modeling a 3D HTS Motor Pole with Ferromagnetic Materials?

Fuente: arXiv
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Main Authors: Dular, Julien, Berger, Kévin, Geuzaine, Christophe, Vanderheyden, Benoît
Format: Preprint
Published: 2022
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author Dular, Julien
Berger, Kévin
Geuzaine, Christophe
Vanderheyden, Benoît
author_facet Dular, Julien
Berger, Kévin
Geuzaine, Christophe
Vanderheyden, Benoît
contents We discuss the relevance of several finite-element formulations for nonlinear systems containing high-temperature superconductors (HTS) and ferromagnetic materials (FM), in the context of a 3D motor pole model. The formulations are evaluated in terms of their numerical robustness and efficiency. We propose a coupled h-phi-a-formulation as an optimal choice, modeling the problem with an a-formulation in the FM and an h-phi-formulation in the remaining domains. While maintaining a low number of degrees of freedom, the h-phi-a-formulation guarantees a robust resolution and strongly reduces the number of iterations required for handling the nonlinearities of HTS and FM compared to standard formulations.
format Preprint
id arxiv_https___arxiv_org_abs_2204_06499
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle What Formulation Should One Choose for Modeling a 3D HTS Motor Pole with Ferromagnetic Materials?
Dular, Julien
Berger, Kévin
Geuzaine, Christophe
Vanderheyden, Benoît
Accelerator Physics
We discuss the relevance of several finite-element formulations for nonlinear systems containing high-temperature superconductors (HTS) and ferromagnetic materials (FM), in the context of a 3D motor pole model. The formulations are evaluated in terms of their numerical robustness and efficiency. We propose a coupled h-phi-a-formulation as an optimal choice, modeling the problem with an a-formulation in the FM and an h-phi-formulation in the remaining domains. While maintaining a low number of degrees of freedom, the h-phi-a-formulation guarantees a robust resolution and strongly reduces the number of iterations required for handling the nonlinearities of HTS and FM compared to standard formulations.
title What Formulation Should One Choose for Modeling a 3D HTS Motor Pole with Ferromagnetic Materials?
topic Accelerator Physics
url https://arxiv.org/abs/2204.06499