3D modeling of high-Tc superconductors by finite element software

Min Zhang, T. A. Coombs

Research output: Contribution to journalArticlepeer-review

145 Citations (Scopus)


A three-dimensional (3D) numerical model is proposed to solve the electromagnetic problems involving transport current and background field of a high-T c superconducting (HTS) system. The model is characterized by the E-J power law and H-formulation, and is successfully implemented using finite element software. We first discuss the model in detail, including the mesh methods, boundary conditions and computing time. To validate the 3D model, we calculate the ac loss and trapped field solution for a bulk material and compare the results with the previously verified 2D solutions and an analytical solution. We then apply our model to test some typical problems such as superconducting bulk array and twisted conductors, which cannot be tackled by the 2D models. The new 3D model could be a powerful tool for researchers and engineers to investigate problems with a greater level of complicity.

Original languageEnglish
Article number015009
Number of pages7
JournalSuperconductor Science and Technology
Issue number1
Publication statusPublished - 1 Jan 2012


  • three-dimensional (3D) numerical model
  • transport current
  • high-Tc superconducting (HTS) system
  • E–J power law
  • H-formulation
  • trapped field solution
  • superconducting bulk array


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