1. Efficient Modeling of High-Temperature Superconductors Surrounded by Magnetic Components Using a Reduced H–$\phi$ Formulation.
- Author
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Arsenault, Alexandre, Sirois, Frederic, and Grilli, Francesco
- Subjects
SUPERCONDUCTORS ,FINITE element method ,PERMANENT magnets ,SUPERCONDUCTING magnets ,REDUCED-order models ,MAGNETIC fields ,HELMHOLTZ equation - Abstract
Although the H-formulation has proven to be one of the most versatile formulations used to accurately model superconductors in the finite element method, the use of vector-dependent variables in nonconducting regions leads to unnecessarily long computation times. Additionally, in some applications of interest, the combination of multiple magnetic components interacting with superconducting bulks and/or tapes leads to large domains of simulation. In this article, we separate the magnetic field into a source and reaction field and use the H– $\phi$ formulation to efficiently simulate a superconductor surrounded by magnetic bodies. We model a superconducting cube between a pair of Helmholtz coils and a permanent magnet levitating above a superconducting pellet. In both cases, we find excellent agreement with the H-formulation while the computation times are reduced by factors of nearly three and four in 2-D and 3-D, respectively. Finally, we show that the H– $\phi$ formulation is more accurate and efficient than the H–A formulation in 2-D. [ABSTRACT FROM AUTHOR]
- Published
- 2021
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