Thin Shell Model of a Coated Conductor with a Ferromagnetic Substrate

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Article number6601310
JournalIEEE Transactions on Applied Superconductivity
Issue number4
StatePublished - 1 Jun 2023


  • Chebyshev spectral method
  • Coated conductor
  • integral equations
  • magnetic substrate
  • thin shell model

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Electrical and Electronic Engineering


Dive into the research topics of 'Thin Shell Model of a Coated Conductor with a Ferromagnetic Substrate'. Together they form a unique fingerprint.

Cite this