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)

[thumbnail of Huber-etal-SUST-2022-The-TA-formulation-an-efficient-approach-to-model-the-macroscopic-electromagnetic-behaviour-of-HTS]
Preview
 Text. Filename: Huber_etal_SUST_2022_The_TA_formulation_an_efficient_approach_to_model_the_macroscopic_electromagnetic_behaviour_of_HTS.pdf
Final Published Version
License: Creative Commons Attribution 4.0 logo
Download (1MB)| Preview

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.

CORE (COnnecting REpositories)