Abstract
AC losses are analytically and numerically evaluated in thin superconducting wires withcross sections of various shapes for the application of either transport currents ortransverse magnetic fields perpendicular to the broadest face. It is assumed that theirelectromagnetic response is determined by Bean’s critical state model, in which the criticalcurrent density is independent of the magnitude of local magnetic field. Newtheoretical expressions of the AC losses are derived for a rhomboid strip, whose sheetcritical current varies from centre to edges linearly, and they are compared withconventional results for rectangular and elliptical strips. The transport current lossesof wires with finite thickness are also calculated numerically by evaluating thepenetration of magnetic flux into them on the basis of the minimization of magneticenergy in addition to the perpendicular field losses. These obtained results arecompared with each other for different shapes of cross sections, and the influenceof sheet critical current distribution along the wire width on the AC losses isdiscussed.
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