Alternating current loss in a cylinder with power-law current-voltage characteristic

Abstract

The transportac loss Q in a superconducting cylinder of radius a with a power-law current-voltage characteristicE=Ec∣J/Jc∣n as a function of current amplitude Im is numerically calculated for a set of given values of a,Jc, and frequency f at n=5, 10, 20, and 30. After deriving a scaling law and defining a critical frequency fc, the results can be converted and interpolated to those for any values of a, Jc, f, and 5 n 30. The "power-law" Q(Im) at f=fc is a better alternative of the critical-state Q(Im), used not only for describing the features of Q(Im,f) of high-temperature superconductors but also for planning Qmeasurements and their interpretation.