Model inverse calculation of current distributions in the cross-section of a superconducting cable

Usak, P.; Sastry, P.V.P.S.S.; Schwartz, J.

doi:10.1016/j.physc.2005.10.018

Cited by 4 publications

(2 citation statements)

References 6 publications

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“…We also use the fact that , which can take into account linear ( constant) or nonlinear conductors without distinction (the field dependence will be considered afterwards). We thus end up with equations of the type (18) In order to eliminate in the previous equation, we use the results of Section II to express as a function of all unknowns in the system, which gives the following expression for each term (in matrix form):…”

Section: A Matrix Formulationmentioning

confidence: 99%

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Computation of 2-D current distribution in superconductors of arbitrary shapes using a new semi-analytical method

Sirois

Roy

2007

IEEE Trans. Appl. Supercond.

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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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Section: A Matrix Formulationmentioning

confidence: 99%

“…Such problems require an accurate relationship between and the source term . Previous workers used simpler version of the Biot-Savart integral for rectangular conductors [18], but the new formulas for triangular elements introduced in this paper may allow studying more complex geometries.…”

Section: B Inverse Problems For Nonrectangular Geometriesmentioning

confidence: 99%

Computation of 2-D current distribution in superconductors of arbitrary shapes using a new semi-analytical method

Sirois

Roy

2007

IEEE Trans. Appl. Supercond.

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Errors in measurement of current distribution in a superconducting tape

Usak¹

2011

Supercond. Sci. Technol.

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The paper reports on the role of the typical mapping errors in measurement of the lateral sheet current distribution Iy(x) in a superconducting tape. The sheet current is calculated indirectly, from the mapped data of the self magnetic field of the superconducting layer. The field is generated by transport or induced current in a tape. In model calculations examples of the influence of the different types of errors on false shaping of the lateral sheet current profile are given. The field mapping is made outside and over the tape. The lateral profile Bz(x, z) of the magnetic field component, perpendicular to the superconducting layer, is input to the Biot–Savart inverse procedure. In the experiment we have used superconducting tape as a sample and an InSb Hall probe with active surface 20 × 20 µm2 as a magnetic field sensor. We demonstrate the details, together with obstacles and errors encountered in measurement and subsequent evaluation. The demonstrations serve for the reader to be aware of limits in interpretation of the measured data and to overcome the natural barrier in understanding, insight and use of this fruitful method.

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