Simulation of superconducting tapes and coils with convex quadratic programming method

Second-generation (2G) high-temperature superconducting coated conductors are playing an increasingly important role in power applications due to their large current density under high magnetic fields. In this paper, we conclude and explore the ability and possible potential of J formulation from th...

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Bibliographic Details
Published inSuperconductor science & technology Vol. 28; no. 8; pp. 85002 - 15
Main Authors Zhang, Yan, Song, Yuntao, Wang, Lei, Liu, Xufeng
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.08.2015
Subjects
ac losses
Coils
Construction
Current density
Magnetic fields
Mathematical analysis
Mathematical models
Optimization
quadratic programming
Superconductors
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ISSN0953-2048
1361-6668
DOI10.1088/0953-2048/28/8/085002

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Summary:Second-generation (2G) high-temperature superconducting coated conductors are playing an increasingly important role in power applications due to their large current density under high magnetic fields. In this paper, we conclude and explore the ability and possible potential of J formulation from the mathematical modeling point of view. An equivalent matrix form of J formulation has been presented and a relation between electromagnetic quantities and Karush-Kuhn-Tucker (KKT) conditions in optimization theory has been discovered. The use of the latest formulae to calculate inductance in a coil system and the primal-dual interior-point method algorithm is a trial to make the process of modeling stylized and build a bridge to commercial optimization solvers. Two different dependences of the critical current density on the magnetic field have been used in order to make a comparison with those published papers.
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ISSN:0953-2048
1361-6668
DOI:10.1088/0953-2048/28/8/085002