Quasi‐3D magnetic field simulation of superconducting devices with translational symmetry
Abstract This work presents a quasi‐three‐dimensional (Q3D) approach for the magnetic field simulation in superconducting devices. First‐order two‐dimensional finite‐element edge functions in the model's cross‐section are combined with one‐dimensional orthogonal polynomials along the longitudin...
Main Authors: | , |
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Format: | Article |
Language: | English |
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Wiley
2021-05-01
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Series: | IET Science, Measurement & Technology |
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Online Access: | https://doi.org/10.1049/smt2.12033 |
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author | Laura A. M. D'Angelo Herbert De Gersem |
author_facet | Laura A. M. D'Angelo Herbert De Gersem |
author_sort | Laura A. M. D'Angelo |
collection | DOAJ |
description | Abstract This work presents a quasi‐three‐dimensional (Q3D) approach for the magnetic field simulation in superconducting devices. First‐order two‐dimensional finite‐element edge functions in the model's cross‐section are combined with one‐dimensional orthogonal polynomials along the longitudinal direction. The interfilament coupling currents arising in superconducting multi‐filament materials are modelled by taking the associated magnetization into account. For this formulation, the Q3D ansatz is elaborated, verificated and applied to a superconducting cable model. In the end, the approach is compared to a conventional three‐dimensional finite‐element method against which the proposed Q3D method demonstrates a superior computational efficiency. |
first_indexed | 2024-04-11T09:53:32Z |
format | Article |
id | doaj.art-f7c493d83715425fb8b84a6c41fadcff |
institution | Directory Open Access Journal |
issn | 1751-8822 1751-8830 |
language | English |
last_indexed | 2024-04-11T09:53:32Z |
publishDate | 2021-05-01 |
publisher | Wiley |
record_format | Article |
series | IET Science, Measurement & Technology |
spelling | doaj.art-f7c493d83715425fb8b84a6c41fadcff2022-12-22T04:30:43ZengWileyIET Science, Measurement & Technology1751-88221751-88302021-05-0115331932710.1049/smt2.12033Quasi‐3D magnetic field simulation of superconducting devices with translational symmetryLaura A. M. D'Angelo0Herbert De Gersem1Institute for Accelerator Science and Electromagnetic Fields (TEMF) Technische Universität Darmstadt Darmstadt GermanyInstitute for Accelerator Science and Electromagnetic Fields (TEMF) Technische Universität Darmstadt Darmstadt GermanyAbstract This work presents a quasi‐three‐dimensional (Q3D) approach for the magnetic field simulation in superconducting devices. First‐order two‐dimensional finite‐element edge functions in the model's cross‐section are combined with one‐dimensional orthogonal polynomials along the longitudinal direction. The interfilament coupling currents arising in superconducting multi‐filament materials are modelled by taking the associated magnetization into account. For this formulation, the Q3D ansatz is elaborated, verificated and applied to a superconducting cable model. In the end, the approach is compared to a conventional three‐dimensional finite‐element method against which the proposed Q3D method demonstrates a superior computational efficiency.https://doi.org/10.1049/smt2.12033Algebra, set theory, and graph theoryNumerical approximation and analysisSteady‐state electromagnetic fields; electromagnetic inductionOther superconducting devices and material applications |
spellingShingle | Laura A. M. D'Angelo Herbert De Gersem Quasi‐3D magnetic field simulation of superconducting devices with translational symmetry IET Science, Measurement & Technology Algebra, set theory, and graph theory Numerical approximation and analysis Steady‐state electromagnetic fields; electromagnetic induction Other superconducting devices and material applications |
title | Quasi‐3D magnetic field simulation of superconducting devices with translational symmetry |
title_full | Quasi‐3D magnetic field simulation of superconducting devices with translational symmetry |
title_fullStr | Quasi‐3D magnetic field simulation of superconducting devices with translational symmetry |
title_full_unstemmed | Quasi‐3D magnetic field simulation of superconducting devices with translational symmetry |
title_short | Quasi‐3D magnetic field simulation of superconducting devices with translational symmetry |
title_sort | quasi 3d magnetic field simulation of superconducting devices with translational symmetry |
topic | Algebra, set theory, and graph theory Numerical approximation and analysis Steady‐state electromagnetic fields; electromagnetic induction Other superconducting devices and material applications |
url | https://doi.org/10.1049/smt2.12033 |
work_keys_str_mv | AT lauraamdangelo quasi3dmagneticfieldsimulationofsuperconductingdeviceswithtranslationalsymmetry AT herbertdegersem quasi3dmagneticfieldsimulationofsuperconductingdeviceswithtranslationalsymmetry |