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Part I Hysteresis Models of Magnetic Materials

1 Ferromagnetic Materials
1.1 Magnetic Materials
1.2 Classification of Magnetic Materials
1.3 Ferromagnetic Hysteresis
1.4 Magnetization Process
1.5 Domain Structures
1.6 Dynamic Properties of Magnetization
1.7 The Hysteresis Operator

2 Analytical Models
2.1 The Rayleigh Model
2.2 Step Function Approximation
2.3 Idealized Magnetization Curve
2.4 Approximation by Power Series
2.5 Rational Fracture Approximation
2.6 The Frolich Model
2.7 Representation by Transcendental Functions
2.8 Approximation by Harmonic Functions
2.9 Method of Auxiliary Functions

3 Dynamic Models
3.1 The Duhem Model
3.2 Hodgdon Model
3.2.1 Rate Independent Hysteresis Model
3.2.2 Rate-Dependence

4 Langevin Type Hysteresis Models
4.1 Langevin Theory for Paramagnets
4.3 Jiles Model for Ferromagnetic Hysteresis
4.3.1 Energy Loss Due to the Domain Wall Motion
4.3.2 The Hysteresis loop
4.3.3 Determination of the Parameters from Measured Data

5 Preisach Models of Hysteresis
5.1 The Classical Preisach Model
5.2 Some Properties of the Preisach Model
5.3 The Distribution Function
5.3.1 Experimental Determination of P(ha, hb)
5.3.2 Analytical Approximation of P(ha, hb)
5.4 Generalized Preisach Model, Reversible and Irreversible Magnetization
5.5 The Moving and the Complete Moving Preisach Models
5.6 Dynamic Preisach Models of Hysteresis
5.7 Preisach Model for M-B Characteristics
5.8 Vector Preisach Model of Hysteresis
5.9 Preisach Models in Field Analysis

6 Stoner-Wohlfarth Model
6.1 Magnetization of an Ellipsoid Shape Particle
6.2 Critical Values
6.3 Graphical Representation of the Energy Minimum
6.4 Hysteresis of the Stoner-Wohlfarth Particle
6.5 Application of the Model for Magnetic Materials

7 Chua-Type Models
7.1 The Classical Chua Model
7.2 Determination of the Dissipation and the Restoring Functions
7.3 Realization of the Model
7.4 Comparison of the Chua-Type and the Preisach-Type Models
7.5 Generalized Chua Model
7.6 Initial Portion of the Magnetization Curve
7.7 Frequency Dependence of the Chua-Type Model
7.8 The Domain Wall Motion in the Chua-Type Model

Part II Hysteresis Models in Electromagnetic Field

8 Energy in Oriented Lamination
8.1 The Field Model
8.2 Single Valued Nonlinearity with Magnetic Scalar Potential
8.3 Variation of the Energy with the Cutting Angle
8.4 Hysteresis in Vector Potential Formulation
8.5 Hysteresis Loss in Oriented Lamination

9 Magnetic Shielding
9.1 Formulation of the Problem
9.2 Nonmagnetic Shielding of Single Phase Conductors
9.3 Magnetic Material in Shielding
9.4 Magnetic Shielding of Three Phase Conductors

10 Anisotropic Material in Rotating Field
10.1 Elliptical Polarization in Rotational Field
10.2 Rotational Field in a Single Sheet Tester
10.3 Magnetic Field in Local Points
10.4 Simulation of the Sensor''s Data

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