AC loss evaluation of thin superconducting wires with critical current distribution along width

AC losses are analytically and numerically evaluated in thin superconducting wires with cross sections of various shapes for the application of either transport currents or transverse magnetic fields perpendicular to the broadest face. It is assumed that their electromagnetic response is determined by Bean's critical state model, in which the critical current density is independent of the magnitude of local magnetic field. New theoretical expressions of the AC losses are derived for a rhomboid strip, whose sheet critical current varies from centre to edges linearly, and they are compared with conventional results for rectangular and elliptical strips. The transport current losses of wires with finite thickness are also calculated numerically by evaluating the penetration of magnetic flux into them on the basis of the minimization of magnetic energy in addition to the perpendicular field losses. These obtained results are compared with each other for different shapes of cross sections, and the influence of sheet critical current distribution along the wire width on the AC losses is discussed.