Inverse Problem Solution Algorithms for Current Density Distribution Calculation in Different HTS Tape Configurations Basing on Minimum Self-Magnetic Field Measurements

Shyshkin, Oleg; Kazarinov, Yu.G.; Tallouli, Mohamed; Famakinwa, Tosin; Yamaguchi, S.

doi:10.1109/tasc.2016.2521169

Cited by 8 publications

(1 citation statement)

References 11 publications

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“…This technique is concerned with the solution of a linear magnetic inverse problem of reconstructing the internal current profiles from the measurements of magnetic fields [3]. A large wealth of applications can be addressed by this technique and has provided many interesting results in different fields [4][5][6][7].…”

Section: Introductionmentioning

confidence: 99%

Inverse Problem Solution and Regularization Parameter Selection for Current Distribution Reconstruction in Switching Arcs by Inverting Magnetic Fields

Dong

Zhang

et al. 2018

Mathematical Problems in Engineering

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Current density distribution in electric arcs inside low voltage circuit breakers is a crucial parameter for us to understand the complex physical behavior during the arcing process. In this paper, we investigate the inverse problem of reconstructing the current density distribution in arcs by inverting the magnetic fields. A simplified 2D arc chamber is considered. The aim of this paper is the computational side of the regularization method, regularization parameter selection strategies, and the estimation of systematic error. To address the ill-posedness of the inverse problem, Tikhonov regularization is analyzed, with the regularization parameter chosen by Morozov's discrepancy principle, the L-curve, the generalized cross-validation, and the quasi-optimality criteria. The provided range of regularization parameter selection strategies is much wider than in the previous works. Effects of several features on the performance of these criteria have been investigated, including the signal-to-noise ratio, dimension of measurement space, and the measurement distance. The numerical simulations show that the generalized cross-validation and quasi-optimality criteria provide a more satisfactory performance on the robustness and accuracy. Moreover, an optimal measurement distance can be expected when using a planner sensor array to perform magnetic measurements.

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Section: Introductionmentioning

confidence: 99%

Inverse Problem Solution and Regularization Parameter Selection for Current Distribution Reconstruction in Switching Arcs by Inverting Magnetic Fields

Dong

Zhang

et al. 2018

Mathematical Problems in Engineering

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Transport current distribution in soldered joint of BSCCO and REBCO tapes

Chikumoto

Yamaguchi

Shyshkin

2020

J. Phys.: Conf. Ser.

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Transport current density distribution at the solder joints of BSCCO tapes and GdBCO tapes are examined by means of scanning 3-dimensional (3D) Hall sensor. After measuring the three components, B x, B y and B z , of self field distribution near the tape induced by the transport current, the current density distribution was calculated by solving the inverse problem through matrix method implemented in the code in MATLAB environment. By using this technique, we successfully obtained the profiles for perpendicular component J z of transport current that is passing through the joint area.

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Effect of a superconducting coil as a fault current limiter on current density distribution in BSCCO tape after an over-current pulse

Tallouli

Shyshkin

Yamaguchi

2017

J. Phys.: Conf. Ser.

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Inverse Problem Solution Algorithms for Current Density Distribution Calculation in Different HTS Tape Configurations Basing on Minimum Self-Magnetic Field Measurements

Cited by 8 publications

References 11 publications

Inverse Problem Solution and Regularization Parameter Selection for Current Distribution Reconstruction in Switching Arcs by Inverting Magnetic Fields

Inverse Problem Solution and Regularization Parameter Selection for Current Distribution Reconstruction in Switching Arcs by Inverting Magnetic Fields

Transport current distribution in soldered joint of BSCCO and REBCO tapes

Effect of a superconducting coil as a fault current limiter on current density distribution in BSCCO tape after an over-current pulse

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