Transport ac loss in a rectangular thin strip with power-law E(J) relation

Transport ac loss of elliptical thin strips with a power-lawE(J)relation

“…The I f n c c ( ) relations for cylinders and rectangular thin strips expressed by equations (20) and (21) are more accurate than those already reported in [10,11]. In order to obtain the most accurate I f n c c ( ) relation, equation (21), for rectangular thin strips, q at more values of i 1 m ~have been computed and two more points at n = 2 and 100 are added.…”

“…, the critical surface current density K c , defined by J c times the local thickness of the strip, is x i dependent, not like in the case of rectangular strip, where it is constant [11]. K c in the ith element is…”

“…When calculating ac loss of a cylinder obeying equation (6), Chen and Gu proposed a transport scaling law, which was deduced for the case of cylinders and verified numerically for strips [10,11]. Different from the above scaling law for ac magnetization, where f is multiplied by C for any given superconductor, in the transport scaling law the product I c f is multiplied by C, so that the ac loss of any pair of different superconducting cylinders or strips with the same value of n may be mutually scaled to each other, and q i m ( ) computed for a cylinder or strip with arbitrarily chosen values of I c and f may be scaled to be used for any other values of I c and f. In particular, any q i m ( ) curve may be scaled to one that has a common point with the CS curve expressed by equation (2) or (4) at i m = 1.…”

“…In fact, the CS model may be regarded as the limit of the PL E (J) relation at n  ¥, so that the q i m ( ) relations expressed by equations (2) and (4) are the PL modeling q i m ( ) at n  ¥. The transport ac loss for a cylinder and a rectangular thin strip obeying equation (6) has been computed in [10,11]. With the help of a fundamental scaling law proposed, the computations have been carried out systematically to meet all practical needs.…”

“…A general expression for a basic set of q i n , m ( ), written q i n , m ( ) * * , is worked out in section 4, from which q i m ( ) for any combinations of practical I c , n, and f may be easily obtained. Such an expression has not been given in [11] for a rectangular thin strip. We will show that although the CS q i m ( ) for an elliptical bar is b a independent, the PL q i m ( ) for b a 1  is smaller than that for b a 1…”