Hermite-Chebyshev pseudospectral method for inhomogeneous superconducting strip problems and magnetic flux pump modeling

TL;DR

This paper introduces a novel pseudospectral numerical method using Chebyshev and Hermite functions for simulating inhomogeneous superconducting strips, enabling detailed modeling of magnetic flux pumps and AC losses.

Contribution

The paper presents a new pseudospectral approach for 2D superconducting strip problems with arbitrary current-voltage relations and inhomogeneities, offering a competitive alternative to finite element methods.

Findings

Effective modeling of magnetic flux pumps and AC losses.

Comparable accuracy and efficiency to finite element methods.

Applicable to inhomogeneous and nonuniform superconducting devices.

Abstract

Numerical simulation of superconducting devices is a powerful tool for understanding the principles of their work and improving their design. We present a new pseudospectral method for two-dimensional magnetization and transport current superconducting strip problems with an arbitrary current-voltage relation, spatially inhomogeneous strips, and strips in a nonuniform applied field. The method is based on the bivariate expansions in Chebyshev polynomials and Hermite functions. It can be used for numerical modeling magnetic flux pumps of different types and investigating AC losses in coated conductors with local defects. Using a realistic two-dimensional version of the superconducting dynamo benchmark problem as an example, we showed that our new method is a competitive alternative to finite element methods.