The T-A formulation : an efficient approach to model the macroscopic electromagnetic behaviour of HTS coated conductor applications

Huber, Felix and Song, Wenjuan and Zhang, Min and Grilli, Francesco (2022) The T-A formulation : an efficient approach to model the macroscopic electromagnetic behaviour of HTS coated conductor applications. Superconductor Science and Technology, 35 (4). 043003. ISSN 0953-2048 (https://doi.org/10.1088/1361-6668/ac5163)

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Abstract

In recent years, the T-A formulation has emerged as an efficient approach for modelling the electromagnetic behaviour of high-temperature superconductor (HTS) tapes in the form of coated conductors (CCs). HTS CCs are characterized by an extremely large width-to-thickness ratio of the superconducting layer, normally up to 1000~6000, which in general leads to a very large number of degrees of freedom. The T-A formulation considers the superconducting layer as infinitely thin. The magnetic vector potential A is used to calculate the magnetic field distribution in all simulated domains. The current vector potential T is used to calculate the current density in the superconducting layer, which is a material simulated with a highly nonlinear power-law resistivity. This article presents a review of the T-A formulation. First, the governing equations are described in detail for different cases (2D and 3D, cartesian and cylindrical coordinates). Then, the literature on the implementation of T-A formulation for simulating applications ranging from simple tape assemblies to high field magnets is reviewed. Advantages and disadvantages of this approach are also discussed.

ORCID iDs

Huber, Felix, Song, Wenjuan, Zhang, Min ORCID logoORCID: https://orcid.org/0000-0003-4296-7730 and Grilli, Francesco;
CORE (COnnecting REpositories)