https://doi.org/10.1140/epjs/s11734-024-01350-9
Regular Article
Numerical solution of nonlinear electromagnetic field problem of superconducting tape using convex optimization
1
Key Laboratory of Mechanics on Disaster and Environment in Western China, Ministry of Education of China, Lanzhou University, 730000, Lanzhou, China
2
Department of Mechanics and Engineering Sciences, College of Civil Engineering and Mechanics, Lanzhou University, 730000, Lanzhou, China
3
Institute of Superconductor Mechanics, Lanzhou University, 730000, Lanzhou, China
Received:
28
April
2024
Accepted:
29
September
2024
Published online:
15
October
2024
Second-generation high-temperature superconducting (Re)Ba2Cu3O7−x coated conductors have great potential for applications in high-power cables and high-field superconducting magnets owing to their excellent current-carrying capacity. However, it is still a challenge to deal with nonlinear electromagnetic field problem of (Re)Ba2Cu3O7−x superconductors accurately and efficiently. In this paper, the solution of the electromagnetic response of superconductors is equivalent to a convex optimization problem. The objective function is convex, where the constraints are linear. This convex optimization problem is solved by the infeasible start Newton’s method. The proposed method is used to solve the electromagnetic field problem of two-dimensional case including the infinite length parallel stacked cable and quasi-isotropic strands, and the axisymmetric case such as insulation pancake coils. Results are verified by comparing with the finite element H and T-A formulations. Whereafter, the method is extended to analyse the electromagnetic field of no-insulation pancake coils. Finally, a simplification of the algorithm and the homogenization technique are proposed to improve the computational efficiency.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.