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Expansion of Preisach density in magnetic hysteresis using general basis functions

Bhattacharjee, Arindam and Mohanty, Atanu K and Chatterjee, Anindya (2019) Expansion of Preisach density in magnetic hysteresis using general basis functions. In: APPLIED MATHEMATICS AND COMPUTATION, 341 . pp. 418-427.

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Official URL: http://dx.doi.org/10.1016/j.amc.2018.09.009

Abstract

The Preisach model of hysteresis has two parts: a geometrical staircase and a density or weighting function. In typical applications, the underlying density function of hysteresis operators is estimated through partial derivatives of first order reversal curves, or a priori assumed to obey simple functional forms like Gaussian, Lorenzian etc. Here we take a more agnostic and empirical approach, and expand the density in a general form using the spectrum of the Laplace operator on a bounded triangular domain. Transforming the input to the same bounded domain, we have a nonlinear parameter fitting problem. We fit parameters to our own magnetic hysteresis data directly using complex waveforms, for both soft and hard loops. For hard loops, if the Preisach density is to be kept strictly nonnegative (as is usual), a nonlinear transformation of the Preisach output is needed. Additionally, the Preisach density is consists of a single hump for soft loops and three distinct humps for hard loops. Our fitted density function, based on a general expansion, contains several coefficients, but subsequent simulation is quick. The main contribution of this paper is a direct demonstration of fitting the density function without making a priori assumptions about the functional form. (c) 2018 Elsevier Inc. All rights reserved.

Item Type: Journal Article
Additional Information: Copy right for this article belong to ELSEVIER SCIENCE INC
Keywords: Preisach model; Preisach density; Basis functions; Magnetic hysteresis
Department/Centre: Division of Physical & Mathematical Sciences > Instrumentation Appiled Physics
Depositing User: Id for Latest eprints
Date Deposited: 22 Oct 2018 15:04
Last Modified: 22 Oct 2018 15:04
URI: http://eprints.iisc.ac.in/id/eprint/60917

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