Field distributions in curved superconducting tapes conforming to a cylinder carrying transport currents

Yasunori Mawatari

doi:10.1103/PhysRevB.80.184508

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Field distributions in curved superconducting tapes conforming to a cylinder carrying transport currents

Yasunori Mawatari

DOI 10.1103/PhysRevB.80.184508 · Physical Review B

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Abstract

Current and magnetic field distributions in curved superconducting tapes are investigated theoretically. The geometry of superconducting tapes considered here is a section of a cylindrical shell in which the length of tape lies parallel to the long axis of the cylinder. Analytical investigation based on the critical state model demonstrates that the current and field distributions and the ac losses in curved superconducting tapes carrying transport currents are equivalent to those in an infinite array of coplanar superconducting tapes. Bending a superconducting tape reduces the magnetic field perpendicular to the tape, resulting in a reduction of ac losses. Simple analytical formulas are presented for the hysteretic ac losses in curved superconducting tapes carrying ac transport currents.