An analytical approach to determine the maximum value of the relative magnetic permeability

  • Authors:

  • Cevdet Akyel;Slobodan I. Babic

  • Affiliations:

  • Département de Génie Électrique, École Polytechnique de Montréal, Montréal, QC, Canada;Département de Génie Physique, École Polytechnique de Montréal, Montréal, QC, Canada

  • Venue:
  • EDUCATION'09 Proceedings of the 6th WSEAS international conference on Engineering education
  • Year:
  • 2009

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Abstract

In this paper we present an easy approach to determine analytically the maximum value of the relative magnetic permeability. This method based on cubic spline functions gives exactly this maximum value as the root of an algebraic equation of the third degree without using some solvers (for example Newton-Raphson solver) to handle non-linearity of magnetic materials. This approach can by useful for practical applications and educational goals because of its simplicity.