Calculation of hysteresis losses in hard superconductors carrying ac: Isolated conductors and edges of thin sheets

  • Norris W
  • 53

    Readers

    Mendeley users who have this article in their library.
  • 858

    Citations

    Citations of this article.

Abstract

Two methods of calculating hysteresis losses in hard superconductors are described. The London model is assumed in which the critical current density is taken independent of magnetic field. Losses in isolated wires of different cross section are considered but it is found that losses for solid wires vary by at most a factor of 3 for different shaped wires of the same current-carrying capacity. The loss at saturation current is usually 0·4-0·6 I c 2 μ 0 /π. Losses at the edges of thin sheets are also calculated and a fourth-power dependence on current (for low current) is found. Three systems are examined: a slit parallel to the current in a wide sheet ( L c similar, equals μ 0 j 2 g 2 π 3 F 4 /24), one pair of the edges of two wide strips set back-to-back and carrying antiparallel currents ( L c similar, equals μ 0 π j 2 s 2 F 4 /6) and a long thin wall parallel to the current flow on a wide sheet ( L c similar, equals μ 0 π 3 j 2 a 2 F 4 /3). L c is the loss per cycle per unit length, F is the current peak as a fraction of saturation current, g the width of the slit, s the spacing of strips, a the height of the asperity and j the critical current density per unit width. All in MKS units.

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document

Authors

  • W. T. Norris

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free