Preisach's model extended with dynamic fractional derivation contribution

B. Zhang, B. Gupta, B. Ducharne, G. Sebald, T. Uchimoto

Research output: Contribution to journalArticlepeer-review

29 Citations (Scopus)


Accurate and simple magnetic material behavior law is necessary to correctly model complete electromagnetic systems. In this paper, a new formulation based on the scalar quasi-static hysteresis Preisach model extended to dynamic behavior using fractional derivation dynamic contribution is proposed. The fractional contribution is solved using convolution which highly reduces the numerical issues. The order of the fractional derivation provides a new degree of freedom and allows to correctly obtain simulation results on a very large frequency bandwidth. By using such formulation, space discretization techniques (finite differences, finite elements) are avoided which are highly space and time consuming while keeping the global simulation results precise. The numerical implementation of the problem and some experimental validations are shown in this paper.

Original languageEnglish
Article number8081796
JournalIEEE Transactions on Magnetics
Issue number3
Publication statusPublished - 2018 Mar


  • Electromagnetic modeling
  • fractional calculus
  • magnetic hysteresis


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