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

Huber, F., Song, W. , Zhang, M. and Grilli, F. (2022) The TA formulation: an efficient approach to model the macroscopic electromagnetic behaviour of HTS coated conductor applications. Superconductor Science and Technology, 35(4), 043003. (doi: 10.1088/1361-6668/ac5163)

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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 to be 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.

Item Type:Articles
Additional Information:This work was supported by the COST Action CA19108 ‘High-Temperature SuperConductivity for AcceLerating the Energy Transition’ (Hi-SCALE).
Glasgow Author(s) Enlighten ID:Song, Dr Wenjuan
Authors: Huber, F., Song, W., Zhang, M., and Grilli, F.
College/School:College of Science and Engineering > School of Engineering > Autonomous Systems and Connectivity
Journal Name:Superconductor Science and Technology
Publisher:IOP Publishing
ISSN (Online):1361-6668
Published Online:01 March 2022
Copyright Holders:Copyright © 2022 The Authors
First Published:First published in Superconductor Science and Technology 35(4): 043003
Publisher Policy:Reproduced under a Creative Commons License

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