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...

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Main Authors: Laura A. M. D'Angelo, Herbert De Gersem
Format: Article
Language:English
Published: Wiley 2021-05-01
Series:IET Science, Measurement & Technology
Subjects:
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.
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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