Minor hysteresis loops model based on exponential parameters scaling of the modified Jiles–Atherton model

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

doi:10.1016/j.physb.2012.03.042

Cited by 30 publications

(21 citation statements)

References 8 publications

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“…These parameters are identified from the measured hysteresis loop at low frequency of 10 Hz, by using a stochastic algorithm called simulated annealing . Equation shows the objective function to be minimized based on the quadratic error between measured and modeled magnetic field.

Error = \frac{\sqrt{\sum_{i}^{N} {((),, H_{measured}^{i} - H_{modelled}^{i})}^{2}}}{N},

where N is the number of measured points, H measured are the measured values of the magnetic field and H modelled are the corresponding values of the magnetic field calculated by the energetic model.…”

Section: Identification Of Static and Dynamic Model Parametersmentioning

confidence: 99%

Dynamic formulation for energetic model compared with hybrid magnetic formulation of ferromagnetic hysteresis

Hamimid

Mimoune

Féliachi

2017

Int J Numerical Modelling

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In this paper, dynamic formulation for energetic model proposed by H Hauser of ferromagnetic hysteresis is compared with the Jiles‐Atherton model that has been applied for hybrid magnetic field formulation. This model is based on the concept of the losses separation method. The energetic model is suitable for quasistatic ferromagnetic hysteresis and to improve this model in dynamic behavior, we modify the total energy given by the energetic model by introducing 2 additional energies associated with classical eddy and excess losses. Two new parameters related to eddy and excess losses are introduced. The identification of these parameters is achieved by measuring the volumetric energy density. All parameters are kept constant regardless of the used frequencies. The validity of this approach is justified by comparison of calculated hysteresis loops to measurements for different frequencies, and good agreements are obtained.

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Error = \frac{\sqrt{\sum_{i}^{N} {((),, H_{measured}^{i} - H_{modelled}^{i})}^{2}}}{N},

Section: Identification Of Static and Dynamic Model Parametersmentioning

confidence: 99%

Dynamic formulation for energetic model compared with hybrid magnetic formulation of ferromagnetic hysteresis

Hamimid

Mimoune

Féliachi

2017

Int J Numerical Modelling

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“…In a recent paper [18] it was shown, that the usage of exponential functions is very advantageous as it allows for very accurate modeling of minor hysteresis loops when JA parameters have been found earlier from the major loop. Here, we hope for similarly good results, but our utilization of an exponential function is more straightforward and effectively does not introduce any extra parameters (up to 6 are needed in [18]). …”

Section: B Usage Of the Ja Modelmentioning

confidence: 99%

Anhysteretic Functions for the Jiles–Atherton Model

Kokornaczyk

Gutowski

2015

IEEE Trans. Magn.

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The Jiles-Atherton (JA) model of ferromagnetic hysteresis usually bases on the Langevin function as its anhysteretic part. This leads to a problem, since for some known materials, the anhysteretic curve may not be modeled in view of fact, that the coupling parameter α, as determined from their major hysteresis loop, is too large, i.e., greater than the value permissible for the Langevin function. Therefore, a new function is required in order to omit this mathematical dilemma. Here, we present a set of simple functions, with their knees depending on one parameter only. Also, a more complicated function, with knee location depending on two parameters is analyzed, however, the Brillouin function again does not solve the difficulty with α. Therefore, within the frame of the JA model, a new function is proposed, making possible to have the initial differential susceptibility arbitrarily small. In addition, the strengthening of the effective field is considered and the permissible values of the second coupling parameter β, in respect to the Brillouin and Langevin functions, are presented. Finally, our new function is successfully used to model the measured anhysteretic curve.Index Terms-Anhysteretic functions, effective field, knee, permissible values of coupling parameters.

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“…A review of the dynamic Jiles-Atherton model [5][6][7][11][12] is provided in this section. The derivative of the irreversible magnetization against magnetic field intensity is given by: …”

Section: Mathematical Modelmentioning

confidence: 99%

“…1, all magnetization is reversible, and δ=0 for these two segments and M irr =0 and M rev =cM an . By adding in (12) one obtains the dynamic Jiles-Atherton model [4][5][6].…”

Section: Mathematical Modelmentioning

confidence: 99%

Quantification of Required Multi-Segments for Accurately Computing Induced Voltage in a Ferrite Inductor Using Static and Dynamic Jiles-Atherton Models

Fletcher

2013

IEEE Trans. Magn.

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The Jiles-Atherthon model is suitable for modeling ferrite-core based inductors and transformers. In this paper it is used to quantify the influence of radially varying magnetizing field on induced voltage in a ferrite inductor, and to compare two conventional average models with a multi-segment model. To accurately model the core when its radial thickness is comparable with its average radius in which average models fail to work, multi-segmentation needs be adopted. In this paper quantification of required segments is presented for different ratios of outer to inner radii of a toroidal core. Such work is meaningful since the ferrite cores used in pulse transformers could be in the scale of meters and dimensional effect on induced voltage cannot be ignored.

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Minor hysteresis loops model based on exponential parameters scaling of the modified Jiles–Atherton model

Cited by 30 publications

References 8 publications

Dynamic formulation for energetic model compared with hybrid magnetic formulation of ferromagnetic hysteresis

Dynamic formulation for energetic model compared with hybrid magnetic formulation of ferromagnetic hysteresis

Anhysteretic Functions for the Jiles–Atherton Model

Quantification of Required Multi-Segments for Accurately Computing Induced Voltage in a Ferrite Inductor Using Static and Dynamic Jiles-Atherton Models

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