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• W2033762646 abstract "The electrodynamics of type-II superconductors is considered in the quasi-static limit when the concept of the so-called critical state is well applicable to the superconductors. We review analytical techniques and formulas used to describe the critical states in the superconductors of the various shapes characteristic of high-temperature superconducting materials. In particular, it is explained how 3-D critical-state problems for thin planar superconductors can be reduced to more simple 2-D problems. Within this approach, the critical states in a thin infinitely long superconducting strip are analytically described not only in the simplest case of a constant critical current density <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>jc</i> but also in the case of anisotropic flux-line pinning and for simple model dependence of <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>jc</i> on the magnetic-field magnitude. We also present the analytical solutions of the critical-state problem for superconducting strips with ferromagnetic substrates and for various arrays of superconducting strips with a transport current or in an external magnetic field. In particular, one of the discussed configurations of the strips can model superconducting power transmission cables. We also describe some analytical solutions of the electrodynamic equations for type-II superconductors with power-law voltage-current characteristics." @default.
• W2033762646 created "2016-06-24" @default.
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• W2033762646 date "2013-04-01" @default.
• W2033762646 modified "2023-09-27" @default.
• W2033762646 title "Analytical Methods and Formulas for Modeling High Temperature Superconductors" @default.
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• W2033762646 doi "https://doi.org/10.1109/tasc.2013.2245504" @default.
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