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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Vydané v:IEEE transactions on applied superconductivity Ročník 34; číslo 9; s. 1 - 10
Hlavní autori: Alves, Bruno de Sousa, Arsenault, Alexandre, Sirois, Frederic
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: IEEE 01.12.2024
Predmet:
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
ISSN:1051-8223, 1558-2515
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Shrnutí: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.
ISSN:1051-8223
1558-2515
DOI:10.1109/TASC.2024.3473850