4.6 Article

A Modified Inverse Vector Hysteresis Model for Nonoriented Electrical Steels Considering Anisotropy for FEA

Journal

IEEE TRANSACTIONS ON ENERGY CONVERSION
Volume 36, Issue 4, Pages 3251-3260

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TEC.2021.3073349

Keywords

Magnetic hysteresis; Anisotropic magnetoresistance; Steel; Mathematical model; Magnetic fields; Analytical models; Numerical models; Macroscopic magnetic anisotropy; vector hysteresis model; nonoriented electrical steels

Funding

  1. National Natural Science Foundation of China [51777055, 51690181]
  2. Funds for Creative Research Groups of Hebei Province [E2020202142]
  3. S&T Program of Hebei [20311801D]

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This paper presents a modified Mayergoyz-based vector hysteresis model for describing the anisotropic material behavior of nonoriented steels, and validates the model through comparison with experimental data.
This paper presents a modified Mayergoyz-based vector hysteresis model to describe the anisotropic material behavior of nonoriented (NO) steels over a wide range of rotational excitations. The proposed model adopts a new representation of a vector Everett function, which is actually an elliptical interpolation motivated by the real anisotropic behavior of NO steel, to deal with the uniaxial anisotropy characteristic, which is especially pronounced at low induction levels. The biaxial anisotropy occurring at high densities is described by a nonlinear coefficient, which is actually a function of the magnitude of magnetic flux density. A systematic identification algorithm is given in detail. The validity of this model is verified through comparison with experimental data under both alternating and rotational excitations. The 2-D finite element analysis (FEA) of incorporating this model into TEAM problem 32 simulation is also illustrated.

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