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Modelling current voltage characteristics of practical superconductors

AutorBadía-Majós, A.; López, Carlos
Palabras claveModelling HTS
Current voltage
Critical currents
Fecha de publicación2015
EditorInstitute of Physics Publishing
CitaciónSuperconductor Science and Technology 28(2): 024003 (2015)
ResumenBased on recent experimental results, and in the light of fundamental physical properties of the magnetic flux in type-II superconductors, we introduce a practical expression for the material law to be applied in numerical modelling of superconducting applications. Focusing on the computational side, in this paper, previous theory is worked out, so as to take the celebrated form of a power-law-like dependence for the current voltage characteristic. However, contrary to the common approach in numerical studies, this proposal suits the general situation of current density flow with components either parallel or perpendicular to the local magnetic field, and different constraints applying on each component. Mathematically, the theory is generated from an elliptic locus defined in terms of the current density vector components. From the physical side, this contour establishes the boundary for the onset of entropy production related to overcritical current flow in different conditions. The electric field is obtained by partial differentiation and points perpendicular to the ellipse. Some numerical examples, inspired by the geometry of a two-layer helical counter-wound cable are provided. Corrections to the widespread use of the implicit isotropic assumption (physical properties only depend on the modulus of the current density vector) are discussed, and essentially indicate that the current carrying capacity of practical systems may be underestimated by using such simplification.
Identificadoresdoi: 10.1088/0953-2048/28/2/024003
issn: 0953-2048
e-issn: 1361-6668
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