Numerical analysis of electromagnetic phenomena in superconductors

Abstract

Governing equations for describing electromagnetic phenomena in superconductors were derived by using the Helmholtz theorem. The Meissner effect, which is common to type-I and type-II superconductors, is treated by introducing the magnetizing vector M. The current flow due to flux invasion into the superconductor, which is a particular phenomenon in the type-II superconductor, is evaluated using the current vector potential together with constitutive equations expressing critical state models. Numerical results based on a two-dimensional finite-element code showed excellent agreement with analytical solutions.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>