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Fractional approach to dynamic magnetic power losses in low-carbon steel under static mechanical stress and alternating magnetic field

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Listed:
  • Ducharne, Benjamin
  • Ouazib, Abderraouf
  • Domenjoud, Mathieu
  • Fagan, Patrick
  • Daniel, Laurent

Abstract

This study extends an analytical fractional approach for describing magnetic losses to thick, low-carbon steel specimens, focusing on the influence of uniaxial mechanical stress on magnetic loss variations. The main objective is to develop a simple, yet accurate analytical model for describing magnetic losses in a low-carbon steel under static mechanical stress. The model is based on a fractional-order approach that captures the material’s dissipative behavior across a wide range of frequencies and stress levels.

Suggested Citation

  • Ducharne, Benjamin & Ouazib, Abderraouf & Domenjoud, Mathieu & Fagan, Patrick & Daniel, Laurent, 2026. "Fractional approach to dynamic magnetic power losses in low-carbon steel under static mechanical stress and alternating magnetic field," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 243(C), pages 468-482.
    • Handle: RePEc:eee:matcom:v:243:y:2026:i:c:p:468-482
    DOI: 10.1016/j.matcom.2025.12.003
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    References listed on IDEAS

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