Numerical And Analytical Solutions for the Dynamic Stability of Edge Cooled Superconducting Tapes using Two Dimensional Variational Principles

J. Schwartz, J. E.C. Williams, J. Schwartz

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

The dynamic stability of an edge cooled superconducting tape is a non-linear, 3D magnetothermal problem. In this analysis, a two dimensional linearized version is solved using variational principles. To accurately model the physical behaviour of the conductor, trial functions are carefully chosen subject to the exact boundary conditions and a numerical solution is obtained. This solution is compared to a recently obtained analytic solution and the one dimensional solution obtained by Hart. The 2D analysis indicates that the finite thermal diffusion in the superconductor can play a significant role for wo/dsc< 100, where Wo is the half width of the tape and dscis the thickness of the superconductor.

Original languageEnglish (US)
Pages (from-to)2120-2123
Number of pages4
JournalIEEE Transactions on Magnetics
Volume27
Issue number2
DOIs
StatePublished - Mar 1991

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Superconducting tapes
Superconducting materials
Thermal diffusion
Tapes
Boundary conditions

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Electrical and Electronic Engineering

Cite this

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abstract = "The dynamic stability of an edge cooled superconducting tape is a non-linear, 3D magnetothermal problem. In this analysis, a two dimensional linearized version is solved using variational principles. To accurately model the physical behaviour of the conductor, trial functions are carefully chosen subject to the exact boundary conditions and a numerical solution is obtained. This solution is compared to a recently obtained analytic solution and the one dimensional solution obtained by Hart. The 2D analysis indicates that the finite thermal diffusion in the superconductor can play a significant role for wo/dsc< 100, where Wo is the half width of the tape and dscis the thickness of the superconductor.",
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Numerical And Analytical Solutions for the Dynamic Stability of Edge Cooled Superconducting Tapes using Two Dimensional Variational Principles. / Schwartz, J.; Williams, J. E.C.; Schwartz, J.

In: IEEE Transactions on Magnetics, Vol. 27, No. 2, 03.1991, p. 2120-2123.

Research output: Contribution to journalArticle

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