2-D axisymmetric and 3-D models for magnetization of superconducting bulks

Magnetic vector potential

Current density distribution

This model was shared by M. Ainslie, University of Cambridge.

The first model is for a 2D axisymmetric bulk with zero field cooling (ZFC) magnetization. Here, the external magnetizing field is applied along the z axis – perpendicular to the top/bottom surface of the bulk – assuming the bulk is already cooled to its particular operating temperature. Based on the Bean model, the external magnetizing field required is at least twice the trapped field capability of the bulk for full magnetization. The applied field is simply a triangular waveform. The second model is for a 3D bulk with pulsed field magnetization (PFM). Here, the external field is also applied along the z axis, but the time scale is much shorter. Both models do not include the thermal model

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References

1. 2-D model : Philippe et al. 2015 Supercond. Sci. Technol. 28 (9) 095008, Zou et al. 2015 Supercond. Sci. Technol. 28 (7) 075009.
2. 3-D model : Ainslie et al. 2014 Supercond. Sci. Technol. 27 (6) 065008.