Non centered minor hysteresis loops evaluation based on exponential parameters transforms of the modified inverse Jiles–Atherton model

Hamimid, M.; Mimoune, S.M.; Féliachi, Mouloud; Atallah, K.

doi:10.1016/j.physb.2014.06.021

Cited by 15 publications

(16 citation statements)

References 8 publications

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“…Depending on the particular field in which hysteresis is observed, minor loops may have some additional properties that may be formalized mathematically. As an example, for magnetic hysteresis Assumption 8 holds [31], and we observe that if u max,1 < u max,2 then for all (u,…”

Section: A Note On Minor Loopsmentioning

confidence: 89%

“…What is important to note is that, when H increases again from the point P 3 , the path followed by H(t), M (t) ends precisely at the point P 2 (see for example Ref. [31]).…”

Section: A Note On Minor Loopsmentioning

confidence: 99%

“…The hysteresis loop derived from Definition 4 is the set C u defined as the limit of the sets C u,γ with respect to Hausdorff distance d 2 as γ → ∞. The hysteresis loop derived from strong consistency is the set G u of Equation (31).…”

Section: Relationship Between the Hysteresis Loop Derived From Definition 4 And The One Derived From Strong Consistencymentioning

confidence: 99%

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A Survey of the Hysteretic Duhem Model

Ikhouane

2017

Arch Computat Methods Eng

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The Duhem model is a simulacrum of a complex and hazy reality: hysteresis. Introduced by Pierre Duhem to provide a mathematical representation of thermodynamical irreversibility, it is used to describe hysteresis in other areas of science and engineering. Our aim is to survey the relationship between the Duhem model as a mathematical representation, and hysteresis as the object of that representation. Keywords Duhem model • Differential equations • Hysteresis 1 ProlegomenonCiting a reference allows the author of a scientific article to attribute work and ideas to the correct source. Nonetheless, the process of describing that work and these ideas assumes some interpretation, at least of their relative importance. In order to ensure that the interpretation is reliable, we use, whenever adequate, a quotation from the reference so that the reader has a direct access to the cited source. This direct access is even more important when the source is not easily available like Ref. [67] or is not written in English like Refs. [16]-[22] among others, in which case we provide a translation. This is our approach to the literature review of Section 2.

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Section: A Note On Minor Loopsmentioning

confidence: 89%

“…What is important to note is that, when H increases again from the point P 3 , the path followed by H(t), M (t) ends precisely at the point P 2 (see for example Ref. [31]).…”

Section: A Note On Minor Loopsmentioning

confidence: 99%

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A Survey of the Hysteretic Duhem Model

Ikhouane

2017

Arch Computat Methods Eng

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“…During minor loops, both irreversible and reversible processes exist. Earlier researchers have proposed the methods in which different JA model parameters are modified according to minor loop excursions [1, 15, 23–25]. The JA model parameters a , k and c are varied in [24], which are directly associated with the domain processes during magnetisation.…”

Section: Modified Ja Model For Minor Loopsmentioning

confidence: 99%

“…The magnetic flux with harmonics results in non-centred minor loops in hysteresis curves [15]. The classical JA model will result in non-physical behaviour while modelling minor loops and it needs to be modified to represent the minor loops.…”

Section: Introductionmentioning

confidence: 99%

Use of a scaling power law to incorporate asymmetrical minor loops in the inverse Jiles–Atherton model

Unniachanparambil

Kulkarni

2019

IET Electric Power Applications

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Magnetic material characterisation and modelling are important for investigating losses and analysing the transient behaviour of electrical systems. This study attempts to contribute in modelling of magnetic materials under conditions of arbitrary flux waveforms. A simple modification of the inverse Jiles-Atherton model for accurately estimating losses in magnetic materials under asymmetrical minor loops is described. The additional losses due to minor loops are mainly due to irreversible domain wall displacements. The modelling presented in this work is based on a scaling power law, which ensures the closure of minor loops and allows better representation of the hysteresis behaviour. The proposed algorithm is verified by modelling hysteresis loops with multiple harmonics associated with pulse width modulated waveforms.

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Minor loops of the Dahl and LuGre models

Ikhouane

Mañosa

Pujol

2020

Applied Mathematical Modelling

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Hysteresis is a special type of behavior encountered in physical systems: in a hysteretic system, when the input is periodic and varies slowly, the steady-state part of the output-versus-input graph becomes a loop called hysteresis loop. In the presence of perturbed inputs, this hysteresis loop presents small lobes called minor loops that are located inside a larger curve called major loop. The study of minor loops is being increasingly popular since it leads to a quantification of the loss of energy. The aim of the present paper is to give an explicit analytic expression of the minor loops of the LuGre and the Dahl models of dynamic dry friction.

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Non centered minor hysteresis loops evaluation based on exponential parameters transforms of the modified inverse Jiles–Atherton model

Cited by 15 publications

References 8 publications

A Survey of the Hysteretic Duhem Model

A Survey of the Hysteretic Duhem Model

Use of a scaling power law to incorporate asymmetrical minor loops in the inverse Jiles–Atherton model

Minor loops of the Dahl and LuGre models

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