Integral Equations for Computing AC Losses of Radially and Polygonally Arranged HTS Thin Tapes

TL;DR

This paper develops integral equations and a finite-element method to compute AC losses in various configurations of high-temperature superconductor thin tapes, considering non-linear properties and comparing with existing models.

Contribution

It introduces a new integral equation approach combined with finite-element analysis for HTS tapes with non-linear modeling, extending beyond critical state models.

Findings

AC losses vary with geometry and current

Non-linear power law captures field and position dependence

Differences identified with existing critical state models

Abstract

In this paper we derive the integral equations for radially and polygonally arranged high-temperature superconductor thin tapes and we solve them by finite-element method. The superconductor is modeled with a non-linear power law, which allows the possibility of considering the dependence of the parameters on the magnetic field or the position. The ac losses are computed for a variety of geometrical configurations and for various values of the transport current. Differences with respect to existing analytical models, which are developed in the framework of the critical state model and only for certain values of the transport current, are pointed out.