Abstract

A numerical model implemented in the open-source finite-element method FreeFEM program is presented, with the aim of introducing students to the calculation of AC losses in superconductors. With this simple approach, students can learn about the critical state model used to describe the macroscopic electromagnetic behavior of superconductors and the importance of different factors influencing the AC losses of superconductors.

Highlights

  • Despite being materials with no electrical resistance, superconductors exhibit power loss dissipation when subjected to time-varying magnetic fields

  • A numerical model implemented in the open-source finite-element method FreeFEM program is presented, with the aim of introducing students to the calculation of AC losses in superconductors

  • Students can learn about the critical state model used to describe the macroscopic electromagnetic behavior of superconductors and the importance of different factors influencing the AC losses of superconductors

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Summary

Introduction

Despite being materials with no electrical resistance, superconductors exhibit power loss dissipation when subjected to time-varying magnetic fields. This is a situation met often in several applications. The model is based on the finite-element method (FEM) and is implemented in the open-source program FreeFEM [3, 4], which can be installed as a stand-alone application on different platforms. This enables students to run the scripts on their computers outside of lectures and to review the problems at their own pace.

AC losses and critical state model
The Campbell model
Exercises
Round superconductor in external field
Elliptical superconductor in external field
Elliptical superconductor with transport current
Stack of tapes in external field
Stack of tapes with transport current
A look at real applications
Conclusion
Full Text
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