Finite Element Models for Magnetic Shields Made of Stacked Superconducting Tape Annuli

Stacks of high-temperature superconducting tape annuli can be used as magnetic shields operating efficiently for both axial and transverse fields. However, due to their layered geometry and hybrid electrical and magnetic properties, implementing models of such structures is not straightforward. In this work, we propose two different modelling approaches with the finite element method: layered and homogenized. We compare their accuracy and numerical efficiency for three different formulations ( <tex-math notation="LaTeX">h</tex-math> - <tex-math notation="LaTeX">φ</tex-math> , <tex-math notation="LaTeX">h</tex-math> - <tex-math notation="LaTeX">φ</tex-math> - <tex-math notation="LaTeX">b</tex-math> , and <tex-math notation="LaTeX">a</tex-math> - <tex-math notation="LaTeX">j</tex-math> ), in both axial (2D-axisymmetric) and transverse (3D) configurations. We show that both approaches lead to comparable performance in the axial case, but that the homogenized model is considerably harder to use in the transverse case.