Thin shell model of a coated conductor with a ferromagnetic substrate

Abstract

Coated conductors with magnetic substrates are thin multilayer structures; their high aspect ratio and nonlinear material properties present significant difficulties for numerical simulation. Using the high width-to-thickness ratio of coated conductors we derive an integral formulation for a model based on an infinitely thin approximation for the superconducting layer and a quasistatic thin shell approximation for the magnetic substrate. The proposed model describes electromagnetic response of a coated conductor with a magnetic substrate and is much simpler than the existing models. A single dimensionless parameter characterizes the substrate having a finite magnetic permeability and a finite thickness. An accurate and efficient Chebyshev spectral method is derived for numerical solution. The influence of a magnetic substrate on the superconducting current and AC losses is investigated. In the limiting cases our model solution tends to the known analytical solutions.

arXiv commentSubmitted to IEEE Transaction on Superconductivity

References in corpus (5)

• Analytical investigation of magnetic field distributions around superconducting strips on ferromagnetic substrates
• Magnetic flux penetration and AC loss in a composite superconducting wire with ferromagnetic parts
• Fast solution of the superconducting dynamo benchmark problem
• Hermite-Chebyshev pseudospectral method for inhomogeneous superconducting strip problems and magnetic flux pump modeling
• Hysteretic ac loss in a coated superconductor subjected to oscillating magnetic field: ferromagnetic effect and frequency dependence