Magnetic Hysteresis Represented by Play Model

  • Tetsuji MatsuoEmail author
Part of the Engineering Materials book series (ENG.MAT.)


The play model is a simple and efficient hysteresis model that is mathematically equivalent to the classical Preisach model. The play model requires only one-dimensional integral, whereas the Preisach model is described by a two-dimensional integral basically. The relation between the Preisach distribution function and the shape function of the play model is explained. Based on the Everett integral for the Preisach model, a method for identification of the play model is presented, where the shape function is determined from given symmetric hysteresis loops. For the application to the magnetic field analysis using the magnetic vector potential, B-input play model is also explained. Isotropic and anisotropic vector play models are presented, which are required for 2D and 3D magnetic field analyses.


Identification Play model Preisach model Silicon steel Vector hysteresis 


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© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.Kyoto UniversityKyotoJapan

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