Abstract
We present an exact analytical approach for arbitrary field-dependent critical state of high-Tc superconducting strip with transport current. The sheet current and flux-density profiles are derived by solving the integral equations, which agree with experiments quite well. For small transport current, the approximate explicit expressions of sheet current, flux-density and penetration depth for the Kim model are derived based on the mean value theorem for integration. We also extend the results to the field-dependent critical state of superconducting strip in the simultaneous presence of applied field and transport current. The sheet current distributions calculated by the Kim model agree with experiments better than that by the Bean model. Moreover, the lines in the Ia-Ba plane for the Kim model are not monotonic, which is quite different from that the Bean model. The results reveal that the maximum transport current in thin superconducting strip will decrease with increasing applied field which vanishes for the Bean model. The results of this paper are useful to calculate ac susceptibility and ac loss.
Highlights
High temperature superconductors can be applied in a wide application area, such as magnetic separation, motor, generator, drug delivery system and magnetron spattering
The sheet current and fluxdensity profiles are derived by solving the integral equations, which agree with experiments quite well
The approximate explicit expressions of sheet current, flux-density and penetration depth for the Kim model are derived based on the mean value theorem for integration
Summary
High temperature superconductors can be applied in a wide application area, such as magnetic separation, motor, generator, drug delivery system and magnetron spattering. There were many theoretical studies of critical state in thin film characterized by a field-independent Jc (Bean model).[3,4,5,6,7,8,9] many experiments show that the current Jc often depends strongly on the local flux density B in real materials. This dependence often hinders precise interpretation of various measured quantities such as magnetization hysteresis loops and ac-susceptibility[10,11] where the Bean model may be invalid at large field amplitudes and the Jc(B) plays a major role.
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