An efficient 3D finite element method model based on the <i>T–A</i> formulation for superconducting coated conductors

TLDR

The T–A formulation addresses 3D computational challenges in high‑aspect‑ratio superconducting coated conductors. The study proposes an efficient 3D finite element model for superconducting coated conductors. The model uses the T–A formulation with a sheet approximation to accelerate 3D finite element simulations and demonstrates its capability on two complex‑geometry examples. The model is validated against analytical solutions and can be employed to design large‑scale superconducting coated‑conductor applications such as high‑field magnets.

Abstract

An efficient three dimensional (3D) finite element method numerical model is proposed for superconducting coated conductors. The model is based on the T–A formulation and can be used to tackle 3D computational challenges for superconductors with high aspect ratios. By assuming a sheet approximation for the conductors, the model can speed up the computational process. The model has been validated by established analytical solutions. Two examples with complex geometries, which can hardly be simulated by the 2D model, are given. The model could be used to characterise and design large-scale applications using superconducting coated conductors, such as high field magnets and other electrical devices.