A differential equation approach to minor loops in the Jiles-Atherton hysteresis model

Journal Article · Fri Nov 01 04:00:00 EST 1991 · IEEE Transactions on Magnetics (Institute of Electrical and Electronics Engineers); (United States)

DOI:https://doi.org/10.1109/20.278655· OSTI ID:5340160

Carpenter, K H ^[1]

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1. Dept. of Electrical and Computer Engineering, Kansas State Univ., Manhattan, KS (US)

Jiles and Atherton, in a series of papers, present physically based differential equations for magnetization in ferromagnetic materials. however, if one directly solves their differential equations, the minor loops obtained can be negative slopes, which is a nonphysical behavior. Only one of their papers gives a method for obtaining minor loops, and the method does not use a differential equation, but requires a priori knowledge of the loop turning points in order to obtain a scale factor and offset which allow a portion of a major loop to serve as a portion of a minor one. In this paper, the reason for the failure of the differential equations to yield physical minor loops is explained, and a modified solution for minor loops is presented which retains the features of Jiles and Atherton's original minor loops, but only requires knowledge of the initial point on each portion of the loop to obtain the solution. This yields a general differential equation formulation for the Jiles-Atherton theory that can be used with circuit simulations having arbitrary excitations and initial conditions for ferromagnetic components.

• OSTI ID: 5340160
• Journal Information: IEEE Transactions on Magnetics (Institute of Electrical and Electronics Engineers); (United States), Journal Name: IEEE Transactions on Magnetics (Institute of Electrical and Electronics Engineers); (United States) Vol. 27:6; ISSN IEMGA; ISSN 0018-9464
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
360104* -- Metals & Alloys-- Physical Properties
661300 -- Other Aspects of Physical Science-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
EQUATIONS
FERROMAGNETIC MATERIALS
HYSTERESIS
MAGNETIC MATERIALS
MAGNETISM
MAGNETIZATION
MATERIALS