A Stepped Nonlinear Solver for Nonlinear Magnetic Materials with Hysteresis

John C. Young, Stephen D. Gedney, Rob Adams, Carl Schneider, Chris Burgy

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


A stepped nonlinear solution method based on differential susceptibility is presented for the quasi-magnetostatic analysis of nonlinear magnetic materials. The stepped solver is applicable to hysteretic materials and supports a permanent magnetization. A locally corrected Nyström discretization of the magnetostatic volume integral equation is used to implement the stepped solver. Characterization of the stepped solver is performed using various magnetic material models which support hysteresis. Solver accuracy is validated using Team Workshop Problem 13, analytic results of a magnetic sphere with hysteresis, and against measured data for a hollow steel pipe.

Original languageEnglish
Article number6975194
JournalIEEE Transactions on Magnetics
Issue number6
StatePublished - Jun 1 2015

Bibliographical note

Publisher Copyright:
© 1965-2012 IEEE.


  • Locally Corrected Nystrom method
  • Magnetostatics
  • hysteresis
  • integral equation methods
  • non-linear solver

ASJC Scopus subject areas

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


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