This paper presents an original semi-analytical method (SAM) for computing the 2-D current distribution in conductors and superconductors of arbitrary shape, discretized in triangular elements. The method is a generalization of the one introduced by Brandt in 1996, and relies on new and compact analytical relationships between the current density ( ), the vector potential ( ), and the magnetic flux density ( ), for a linear variation of over 2-D triangular elements. The derivation of these new formulas, which is also presented in this paper, is based on the analytic solution of the 2-D potential integral. The results obtained with the SAM were validated successfully using COMSOL Multiphysics, a commercial package based on the finite-element method. Very good agreement was found between the two methods. The new formulas are also expected to be of great interest in the resolution of inverse problems.Index Terms-Diffusion processes, electromagnetic analysis, finite-element methods (FEMs), high-temperature superconductors, integral equations, numerical analysis.
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This paper focuses on the experimental determination of the electrical resistance (R) of commercial high temperature superconductor (HTS) coated conductors (CCs) at currents well above the critical current. The major novelty of this work rests on the unique experimental capability of applying constant current pulses in the sample (up to 1000 A) for durations as short as 15 μs, which allows very precise control of the amount of energy dissipated in the sample (the Joule effect), as well as the resulting temperature rise. By varying the applied current and the duration of the pulses, we show that we can achieve a relatively accurate characterization of R(I, T ) simply from the measured dynamical V -I characteristics of the CCs. The resistance model obtained in this way is very important, as R(I, T ) is the most fundamental design parameter in many practical HTS applications, especially in fault current limiters.
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