Critical state solution and AC loss computation of polygonally arranged thin superconducting tapes

TL;DR

This paper develops a model to calculate current density, magnetic field, and AC losses in polygonally arranged thin superconducting tapes under the critical state model, applicable for practical configurations and parameter variations.

Contribution

It introduces a new integral equation approach for analyzing AC losses in polygonally arranged superconducting tapes, extending previous models to more practical geometries.

Findings

Derived a general integral equation for current density and magnetic field.

Analyzed the dependence of AC losses on tape arrangement parameters.

Applicable to any transport current below critical current.

Abstract

The current density and field distributions in polygonally arranged thin superconducting tapes carrying AC current are derived under the assumption of the critical state model. Starting from the generic Biot-Savart law for a general polygonal geometry, we derive a suitable integral equation for the calculation of the current density and magnetic field in each tape. The model works for any transport current below $I_c$, which makes it attractive for studying cases of practical interest, particularly the dependence of AC losses on parameters such as the number of tapes, their distance from the center, and their separation.