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IEEE TRANSACTIONS ON MAGNETICS, VOL. 38, NO. 1, JANUARY 2002

Generalized Formulation for the Description of Hysteresis in Soft Magnetic Materials
Paiboon Nakmahachalasint, Student Member, IEEE and Khai D. T. Ngo, Member, IEEE
Abstract—This paper presents a phenomenological formulation that broadens the range of applicability of the Basso–Bertotti hysteresis model to include soft magnetic materials with very gradual saturation, such as commercial manganese-zinc (MnZn) power ferrites. The formulation also enables the Basso–Bertotti model to better characterize both the major loop and the minor loops of these soft magnetic materials. The formulation introduces a model that defines the transition between low field/minor parameter loops and high field/major loop. An explicit expression for magnetization in term of domain-wall position was synthesized to make the hysteresis model numerically attractive. The formulation was verified by experimental data of commercial MnZn ferrites. Index Terms—Hysteresis modeling, power MnZn ferrites, Preisach model, soft magnetic materials.

ployed in [6], but the material treated was the hard polycrystalline hexaferrite and the issue of minor versus major loops was not addressed. Following this section, the DWM model for static hysteresis is reviewed in Section II. A domain-wall surface function suitable for power ferrites is synthesized in Section III. Emphasis is placed more on the mathematics, numerics, and formulation/implementation of the modeling equations/procedures and less on the physics of static hysteresis, which can be found in [7]. Parameter extraction and experimental verification are discussed in Section IV. The main results are summarized in Section V. II. DOMAIN-WALL MOTION MODEL FOR STATIC HYSTERESIS

I. INTRODUCTION YSTERESIS models for power ferrites are an integral part of a computer-aided design (CAD)