Fast solution of the superconducting dynamo benchmark problem

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11 Scopus citations


A model of high-temperature superconducting dynamos, a promising type of flux pump capable of wireless injection of a large DC current into a superconducting circuit, has recently been chosen as an applied superconductivity benchmark problem and solved using ten different numerical methods (Ainslie et al 2020 Supercond. Sci. Technol. 33 105009). Using expansions in Chebyshev polynomials for approximation in space and the method of lines for integration in time we derive a simple and accurate numerical method which is much faster. The proposed numerical method was applied also to problems with transport current and a field-dependent sheet critical current density.

Original languageEnglish
Article number065006
JournalSuperconductor Science and Technology
Issue number6
StatePublished - 1 Jun 2021


  • Chebyshev polynomials
  • coated conductor
  • numerical solution
  • singular integral equation
  • superconducting dynamo

ASJC Scopus subject areas

  • Ceramics and Composites
  • Condensed Matter Physics
  • Metals and Alloys
  • Electrical and Electronic Engineering
  • Materials Chemistry


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