Quasi‐3D magnetic field simulation of superconducting devices with translational symmetry

Abstract

Abstract This work presents a quasi‐three‐dimensional (Q3D) approach for the magnetic field simulation in superconducting devices. First‐order two‐dimensional finite‐element edge functions in the model's cross‐section are combined with one‐dimensional orthogonal polynomials along the longitudinal direction. The interfilament coupling currents arising in superconducting multi‐filament materials are modelled by taking the associated magnetization into account. For this formulation, the Q3D ansatz is elaborated, verificated and applied to a superconducting cable model. In the end, the approach is compared to a conventional three‐dimensional finite‐element method against which the proposed Q3D method demonstrates a superior computational efficiency.

Keywords

• Algebra, set theory, and graph theory
• Numerical approximation and analysis
• Steady‐state electromagnetic fields; electromagnetic induction
• Other superconducting devices and material applications