2-D Thin-Shell Model Based on the H- \phi-Formulation for Modeling HTS Tapes in COMSOL Multiphysics
This article presents a finite-element thin-shell (TS) model and its application to 2-D electromagnetic problems involving superconducting tapes in COMSOL Multiphysics. The magnetic scalar potential (<inline-formula><tex-math notation="LaTeX">\phi</tex-math></inline-fo...
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| Vydáno v: | IEEE transactions on applied superconductivity Ročník 34; číslo 9; s. 1 - 10 |
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01.12.2024
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| Abstract | This article presents a finite-element thin-shell (TS) model and its application to 2-D electromagnetic problems involving superconducting tapes in COMSOL Multiphysics. The magnetic scalar potential (<inline-formula><tex-math notation="LaTeX">\phi</tex-math></inline-formula>) is the state variable in nonconducting regions surrounding of the tapes, which are represented as zero thickness objects in the calculus domain. Inside the tapes, an auxiliary 1-D problem formulated in terms of the tangential components of the magnetic field (<inline-formula><tex-math notation="LaTeX">H</tex-math></inline-formula>) takes into account the physics across their thickness. The final finite-element system of equations includes both the 2-D and 1-D discretized equations, which are solved simultaneously in a fully coupled manner and transparently for the user. The use of thin cuts is required to impose transport currents in the tapes. This procedure allows the simulation of problems comprising superconducting tapes in any geometrical configuration. We demonstrate that both the normal and tangential fields agree well with reference solutions obtained with the widely used <inline-formula><tex-math notation="LaTeX">T</tex-math></inline-formula>-<inline-formula><tex-math notation="LaTeX">A</tex-math></inline-formula>-formulation and with the more standard <inline-formula><tex-math notation="LaTeX">H</tex-math></inline-formula>- and <inline-formula><tex-math notation="LaTeX">H</tex-math></inline-formula>-<inline-formula><tex-math notation="LaTeX">\phi</tex-math></inline-formula>-formulations with a full 2-D discretization of the tapes. The proposed <inline-formula><tex-math notation="LaTeX">H</tex-math></inline-formula>-<inline-formula><tex-math notation="LaTeX">\phi</tex-math></inline-formula> TS model estimates ac losses accurately while speeding up simulations. This makes this model ideal for simulating large-scale superconducting devices in 2-D, particularly when they comprise compact arrangements of high-temperature superconductor tapes carrying antiparallel currents. |
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| AbstractList | This article presents a finite-element thin-shell (TS) model and its application to 2-D electromagnetic problems involving superconducting tapes in COMSOL Multiphysics. The magnetic scalar potential (<inline-formula><tex-math notation="LaTeX">\phi</tex-math></inline-formula>) is the state variable in nonconducting regions surrounding of the tapes, which are represented as zero thickness objects in the calculus domain. Inside the tapes, an auxiliary 1-D problem formulated in terms of the tangential components of the magnetic field (<inline-formula><tex-math notation="LaTeX">H</tex-math></inline-formula>) takes into account the physics across their thickness. The final finite-element system of equations includes both the 2-D and 1-D discretized equations, which are solved simultaneously in a fully coupled manner and transparently for the user. The use of thin cuts is required to impose transport currents in the tapes. This procedure allows the simulation of problems comprising superconducting tapes in any geometrical configuration. We demonstrate that both the normal and tangential fields agree well with reference solutions obtained with the widely used <inline-formula><tex-math notation="LaTeX">T</tex-math></inline-formula>-<inline-formula><tex-math notation="LaTeX">A</tex-math></inline-formula>-formulation and with the more standard <inline-formula><tex-math notation="LaTeX">H</tex-math></inline-formula>- and <inline-formula><tex-math notation="LaTeX">H</tex-math></inline-formula>-<inline-formula><tex-math notation="LaTeX">\phi</tex-math></inline-formula>-formulations with a full 2-D discretization of the tapes. The proposed <inline-formula><tex-math notation="LaTeX">H</tex-math></inline-formula>-<inline-formula><tex-math notation="LaTeX">\phi</tex-math></inline-formula> TS model estimates ac losses accurately while speeding up simulations. This makes this model ideal for simulating large-scale superconducting devices in 2-D, particularly when they comprise compact arrangements of high-temperature superconductor tapes carrying antiparallel currents. |
| Author | Sirois, Frederic Arsenault, Alexandre Alves, Bruno de Sousa |
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| Cites_doi | 10.1109/ACCESS.2021.3067037 10.1109/TASC.2021.3097245 10.1109/20.582518 10.1016/j.supcon.2023.100049 10.1088/0022-3727/3/4/308 10.1088/0953-2048/26/5/052001 10.1088/1361-6668/30/2/024005 10.1088/1361-6668/ac3f9e 10.1109/tasc.2022.3143076 10.1088/0953-2048/21/10/105008 10.1063/1.338583 10.1109/TASC.2020.3033998 10.1088/0953-2048/22/5/055014 10.1109/TASC.2023.3293449 10.1109/TASC.2019.2935429 10.1088/1361-6668/abde87 10.1109/20.250676 10.1007/s00366-012-0309-3 10.1088/1361-6668/ab0d66 10.1088/0953-2048/28/4/043002 10.1109/20.582462 10.1088/0953-2048/23/3/034017 10.1088/1361-6668/abb8c0 10.1088/0953-2048/29/2/024007 10.1109/20.376271 10.1063/1.4995802 10.1109/TMAG.2021.3111519 10.1109/TASC.2009.2019582 10.1103/PhysRevB.49.9024 |
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| SubjectTerms | AC losses Computational modeling Current density finite-element method Geometry high-temperature superconductor (HTS) High-temperature superconductors Magnetic domains Solid modeling Superconducting films Superconducting magnets thin-shell (TS) model trans- ient simulation |
| Title | 2-D Thin-Shell Model Based on the H- \phi-Formulation for Modeling HTS Tapes in COMSOL Multiphysics |
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