Electric field formulation for thin film magnetization problems

Abstract

We derive a variational formulation for thin film magnetization problems in type-II superconductors written in terms of two variables, the electric field and the magnetization function. A numerical method, based on this formulation, makes it possible to accurately compute all variables of interest, including the electric field, for any value of the power in the power law current-voltage relation characterizing the superconducting material. For high power values we obtain a good approximation to the critical state model solution. Numerical simulation results are presented for simply and multiply connected films, and also for an inhomogeneous film.

15 p., submitted

References in corpus (2)

• Flux Distribution in Superconducting Films with Holes
• Mechanism for flux guidance by micrometric antidot arrays in superconducting films

Cited by in corpus (7)

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• FFT-based solution of 2D and 3D magnetization problems in type-II superconductivity
• On the Stability of Mixed Finite-Element Formulations for High-Temperature Superconductors
• Transport current and magnetization problems for thin type-II superconducting films
• Two-dimensional model of a high-Tc superconducting dynamo
• Hermite-Chebyshev pseudospectral method for inhomogeneous superconducting strip problems and magnetic flux pump modeling
• 3D modeling of magnetic atom traps on type-II superconductor chips