On the Energy-Based Variational Model for Vector Magnetic Hysteresis

Leonid Prigozhin, Vladimir Sokolovsky, John W. Barrett, Sergey E. Zirka

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


We consider the quasi-static magnetic hysteresis model based on a dry-friction-like representation of magnetization. The model has a consistent energy interpretation, is intrinsically vectorial, and ensures a direct calculation of the stored and dissipated energies at any moment in time, and hence not only on the completion of a closed hysteresis loop. We discuss the variational formulation of this model and derive an efficient numerical scheme, avoiding the usually employed approximation, which can be inaccurate in the vectorial case. The parameters of this model for a nonoriented steel are identified using a set of first-order reversal curves. Finally, the model is incorporated as a local constitutive relation into a 2-D finite-element simulation accounting for both the magnetic hysteresis and the eddy current.

Original languageEnglish
Article number7539646
JournalIEEE Transactions on Magnetics
Issue number12
StatePublished - 1 Dec 2016


  • Energy-based model
  • finite-element simulation
  • variational formulation
  • vector magnetic hysteresis

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Electrical and Electronic Engineering


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