A new convergence procedure for the finite element computing associated to Preisach hysteresis model

Amor, Y.O.; Féliachi, Mouloud; Mohellebi, Hassane

doi:10.1109/20.877665

Cited by 11 publications

(6 citation statements)

References 4 publications

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“…The major problem of this calculation is the choice of relaxation factor of the field. To resolve this problem we used the procedure proposed in [9]. The algorithm used for simulations is shown in Figure 5.…”

Section: Temperature Effect On Hysteresis Cyclementioning

confidence: 99%

Model for the behavior of magnetic materials hysteretic taking into account the temperature

Ladjimi¹,

Mékidèche

2009

2009 6th International Multi-Conference on Systems, Signals and Devices

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The work is to develop a model for magnetic hysteresis taking into account the temperature. We introduced the effect of temperature through behavior as a function of temperature settings and model Jiles Atherton. The results of the model in terms of saturation induction, remanent induction, coercive field and the evolution of hysteresis cycle as a function of temperature are accort with theory and with results given in [1]. A program for calculating field incorporating model hysteresis to study a system of induction heating is also necessary. This program of resolution was developed using the finite element method in 2D. The simulations carried out with this calculation programme we allowedto study the evolution of the hysteresis loop according to the temperature. They also make it possible to deduce the evolution from the losses by hysteresis and eddy currents as a function of temperature.

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Section: Temperature Effect On Hysteresis Cyclementioning

confidence: 99%

Model for the behavior of magnetic materials hysteretic taking into account the temperature

Ladjimi¹,

Mékidèche

2009

2009 6th International Multi-Conference on Systems, Signals and Devices

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“…Applying the fixed-point formulation (30) to the 2-D problem, the following equation can be written for the iron region with no current sources included (41) where is the fixed-point coefficient optimally calculated at each iterate using the locally convergent method [31] (42) Equation (41) is discretized and solved iteratively with the rest of the material parts using the FE method as briefly demonstrated in Fig. 12.…”

Section: B 2-d Fe Model: Vector-field Problemmentioning

confidence: 99%

“…Equation (28) can be formulated using the magnetic vector potential (29) where (30) Here, is a magnetization-like quantity and is given according to the fixed-point theory [31] (31)…”

Section: A 1-d Fe Model: Scalar Problemmentioning

confidence: 99%

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Efficient Algorithms for the Inclusion of the Preisach Hysteresis Model in Nonlinear Finite-Element Methods

Dlala

2011

IEEE Trans. Magn.

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This paper deals with key problems that have been commonly encountered in the implementation of the Preisach model into finite-element (FE) programs. Such problems include the inverse problem imposed by certain FE formulations, the abundance use of experimental data needed for identification, and the complex hysteretic nonlinearity inherited in electromagnetic problems. The aim is to alleviate these problems using new efficient algorithms to facilitate the inclusion of the Preisach model in FE equations. The inversion of the model is evaded by systematically creating an inverted Everett function identified from a few parameters usually provided by the makers of electrical steel. The Everett function and its derivatives are ensured to be smooth and continuous by using cubic spline interpolation, which is important for producing stable iterative solutions in the FE computations. Thorough investigations and FE simulations supported by experiments show that the proposed algorithms are capable of successfully accomplishing good accuracy, fast computation, and numerical convergence.Index Terms-Convergence, Everett function, finite-element analysis (FEA), fixed-point method, inverse problems, magnetic hysteresis, Preisach model, software simulation tools.

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“…[ 20 ] Additionally, the exact modeling of pinching, characterized by a notable boost in stiffness, may cause several convergence problems. [ 21,22 ] Besides, the digital era's ascension has lessened the energies of structural engineers devoted to the study of analytical models and praised more elementary approaches based on the use of piecewise functions.…”

Section: Introductionmentioning

confidence: 99%

An empirical transcendental hysteresis model for structural systems with pinching and degradation

Aloisio

Sejkot

Iqbal

et al. 2021

Earthq Engng Struct Dyn

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The authors present a novel transcendental hysteresis model based on the piecewise definition of arctangent functions. The definition of the shape parameters of the arctangent functions originates from the features of the experimental hysteresis curves directly. In the first step, the authors present this model's application to the experimental cyclic response of cross‐laminated timber (CLT), light‐timber frame (LTF) shear walls, and a steel angle bracket. Then, the response of a plywood‐coupled laminated‐veneer lumber (LVL) shear wall is used for validation purposes. The paper introduces the arctangent‐based model, labeled Atan model, by illustrating some possible shortcomings of hysteresis models with pinching. The paper concludes with a simple demonstration of these issues in the case of a Bouc‐Wen class hysteresis model, the extended energy‐dependent generalized Bouc‐Wen (eegbw) model. The numerical instabilities of the eegbw model are used to endorse the advantages of the proposed formulation in modeling complex structural arrangements, like wood joints and structural systems. The proposed model originates from the analysis of the experimental response of wood joints. However, it can be of more general application, and the particular reference to wood joints does not preclude other application fields.

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A new convergence procedure for the finite element computing associated to Preisach hysteresis model

Cited by 11 publications

References 4 publications

Model for the behavior of magnetic materials hysteretic taking into account the temperature

Model for the behavior of magnetic materials hysteretic taking into account the temperature

Efficient Algorithms for the Inclusion of the Preisach Hysteresis Model in Nonlinear Finite-Element Methods

An empirical transcendental hysteresis model for structural systems with pinching and degradation

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