Abstract

The magnetic field and current distributions are computed numerically for a superconducting strip in the critical state with infinite length, but finite thickness and width. The width to thickness ratio is varied from 1 to 100, covering the range from square bars to thick films. For large aspect ratios (>10) the current and field distributions differ significantly from the 2D solution, because the Norris solution does not take into account (and thus does not shield) the transverse field parallel to the strip. Power loss exponents are calculated and found to vary from roughly 3 in a square bar to 4 in a highly aspected thin strip. In particular in the thin strip case the power loss exponents are current dependent due to the contribution of the loss caused by the transverse magnetic field. The loss in a multifilamentary conductor (or cable) is also estimated, taking into account the loss in the filaments. It is found that the overall loss (without coupling) is enhanced by a factor 1+1/ n, where n is the number of filaments.

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