Integral equation for thin conductors solved by finite-elements (Comsol)

The model calculates current density/field distribution in a superconducting thin conductors in the presence of a time-dependent transport current, background field or combination thereof (as in the figure below). The superconductor is modeled with a power-law. Dependence of Jc on magnetic field and position can be easily incorporated.

The extension of the model to stacks/windings and radial/polygonal cables can be found in these two articles: 

1. Brambilla et al. 2009 Supercond. Sci. Tech. 22 (7) 075018
2. Brambilla et al. 2012 IEEE Trans. Appl. Supercond. 22 (4) 8401006.

The approach is the same as in the case of a single tape, only the form of the kernel (expressing the electromagnetic interaction with the other tapes).

The figure shows the temporal evolution of the current density along the tape’s width under the simultaneous action of AC transport current and AC magnetic field.

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References

1. Brambilla et. al. 2008 Supercond. Sci. Tech. 21 (10) 105008.