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Tadeusz Szumiata1, Roman Szewczyk2, Paweł Rękas2

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This study models the magnetoelastic effect in electrical steels, detailing how stress impacts magnetic properties. The model accurately predicts stress-dependent permeability, validating its physical principles.

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Area of Science:

  • Materials Science
  • Condensed Matter Physics
  • Electromagnetism

Background:

  • The magnetoelastic effect in grain-oriented electrical steels is crucial for transformer performance.
  • It arises from complex interactions between magnetic anisotropy, domain walls, and mechanical stress.
  • Existing models struggle to independently account for these interacting factors.

Purpose of the Study:

  • To develop a comprehensive model for the magnetoelastic effect in grain-oriented electrical steels.
  • To accurately represent energy competition including magnetostatic coupling, inter-domain interactions, and anisotropic confinement.
  • To validate the model experimentally for predicting stress-dependent magnetic permeability.

Main Methods:

  • A two-domain system model with a 180° Bloch wall was developed, minimizing total magnetic energy.
  • Independent variation of magnetization angle and external field direction was enabled.
  • Anisotropic domain wall energy, incorporating various anisotropies and stress terms, was formulated.

Main Results:

  • The model accurately represents energy competition and allows for efficient parameter identification.
  • Experimental validation on M120-27s steel showed quantitative reproduction of stress-dependent 2D permeability tensors.
  • A determination coefficient (R-squared) exceeding 98% confirmed the model's physical validity.

Conclusions:

  • The proposed model provides a novel and accurate analysis of low-field magnetic permeability in grain-oriented electrical steels.
  • The concept of anisotropic domain wall effective energy is key to understanding stress effects.
  • The model's quantitative agreement with experimental data verifies its physical basis and practical applicability.