Hysteresis loss of a round superconductor carrying a d.c. transport current in an alternating transverse field

The hysteresis loss in a cylindrical hard superconductor is investigated theoretically adopting the critical state model for the case that an alternating field is applied transverse to the conductor carrying a d.c. transport current. The shape of the cross-section of the shielded region in the superconductor is approximated to an ellipse. To simulate the winding of superconducting magnets, the magnetic interaction between the superconductor components is taken into account. The total hysteresis loss is analysed as a sum of the magnetization loss and the loss due to the dynamic resistance. The calculated losses for a wide range of amplitude of the alternating field are given in graphs which clearly show how the transport current and the interaction between the superconductors affect the hysteresis. (author)