Eur. Phys. J. Appl. Phys. 51, 20801 (2010)
https://doi.org/10.1051/epjap/2010097

Modeling the Steinmetz's law for soft steel

¹ Department of Engineering Science, University of Oxford, Oxford, UK
² Department of Materials, Physics of Eotvos Lorant Univ. 1518, P.O. Box 32, Budapest, Hungary
³ Research Institute for Solid State Physics and Optics, 1525, P.O. Box 49, Budapest, Hungary

Corresponding author: ^* jenotakacs@aol.com

Received: 8 February 2010
Revised: 3 June 2010
Accepted: 4 June 2010
Published online: 22 July 2010

Abstract

The loss calculation in soft magnetic materials, used in the manufacturing industry, is still ruled by Steinmetz's simple law. It has remained unchallenged for more than a century, unproven but successfully used by designers of magnetic components. Based on experiments carried out on soft NO Fe–Si and Mn–Zn ferrite samples, in this paper we present a model of Steinmetz's approximation, based on the hyperbolic model. We also make suggestions for the formula's possible extension to a wider range of coercivity, possibly covering not only soft iron but also other groups of magnetic materials as well, used in industry.