A finite element simulation tool for predicting hysteresis losses in superconductors using an H-oriented formulation with cohomology basis functions

Valtteri Lahtinen*, Antti Stenvall, Frédéric Sirois, Matti Pellikka

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

9 Citations (Scopus)

Abstract

Currently, modelling hysteresis losses in superconductors is most often based on the H-formulation of the eddy current model (ECM) solved using the finite element method (FEM). In the H-formulation, the problem is expressed using the magnetic field intensity H and discretized using edge elements in the whole domain. Even though this approach is well established, it uses unnecessary degrees of freedom (DOFs) and introduces modelling error such as currents flowing in air regions due to finite air resistivity. In this paper, we present a modelling tool utilizing another H-oriented formulation of the ECM, making use of cohomology of the air regions. We constrain the net currents through the conductors by fixing the DOFs related to the so-called cohomology basis functions. As air regions will be truly non-conducting, DOFs and running times of these nonlinear simulations are reduced significantly as compared to the classical H-formulation. This fact is demonstrated through numerical simulations.

Original languageEnglish
Article numberA019
Pages (from-to)2345-2354
Number of pages10
JournalJournal of Superconductivity and Novel Magnetism
Volume28
Issue number8
DOIs
Publication statusPublished - 1 Aug 2015
MoE publication typeA1 Journal article-refereed

Keywords

  • Cohomology
  • Finite element method
  • Hysteresis losses
  • Superconductors

Fingerprint Dive into the research topics of 'A finite element simulation tool for predicting hysteresis losses in superconductors using an H-oriented formulation with cohomology basis functions'. Together they form a unique fingerprint.

Cite this