The effect of DC-bias on the magnetization curves described with the T(x) model

Abstract

Asymmetric excitation patterns are commonly observed in real-life magnetic circuits, often resulting in reversal curves and DC-biased hysteresis loops. For each minor loop, the anhysteretic curve can be extracted as the middle curve from the loop branches, what leads to the concept of the anhysteretic surface. This idea, initially introduced by Sablik and Langman in the context of magnetoelastic coupling, is a logical consequence of the observed behavior. This paper explores the possibilities of $T\left(x\right)$ model to describe First Order Reversal Curves with simple mathematical expressions. The effectiveness of this approach is demonstrated for materials with distinct magnetic properties i.e. for a soft (non-grain-oriented electrical steel) and a hard (${\left({\text{Nd}}_{0.75}{\text{Pr}}_{0.25}\right)}_{10}{\text{Fe}}_{82}{\text{Zr}}_2{\text{B}}_6$) magnet.

Moreover the paper emphasizes the possibility to characterize the anhysteretic surface using expressions derived from the $T\left(x\right)$ model, what leads to a more comprehensive understanding of energy dissipation phenomena in ferromagnets.