Optimized model for magnetic hysteresis in silicon-iron sheets by using the simulated annealing algorithm

Boukhtache, Sebti; Azoui, B.; Féliachi, Mouloud

doi:10.3233/jae-2009-1012

Cited by 9 publications

(5 citation statements)

References 9 publications

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“…We present a summary of relevant literature. Lederer et al (1999), Hernandez et al (2000), Boukhtache et al (2009) and Bai et al (2011) demonstrate the use of SA method in estimating parameters of the NO silicon steel. Another, popular metaheuristic method based on genetics is used by Wilson et al (2001), Leite et al (2004b), Cao et al (2004) and Fulginei and Salvini (2005).…”

Section: Parameter Estimationmentioning

confidence: 98%

A constraint-based optimization technique for estimating physical parameters of Jiles – Atherton hysteresis model

Upadhaya

Rasilo²,

Perkkiö

et al. 2020

COMPEL

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Purpose Improperly fitted parameters for the Jiles–Atherton (JA) hysteresis model can lead to non-physical hysteresis loops when ferromagnetic materials are simulated. This can be remedied by including a proper physical constraint in the parameter-fitting optimization algorithm. This paper aims to implement the constraint in the meta-heuristic simulated annealing (SA) optimization and Nelder–Mead simplex (NMS) algorithms to find JA model parameters that yield a physical hysteresis loop. The quasi-static B(H)-characteristics of a non-oriented (NO) silicon steel sheet are simulated, using existing measurements from a single sheet tester. Hysteresis loops received from the JA model under modified logistic function and piecewise cubic spline fitted to the average M(H) curve are compared against the measured minor and major hysteresis loops. Design/methodology/approach A physical constraint takes into account the anhysteretic susceptibility at the origin. This helps in the optimization decision-making, whether to accept or reject randomly generated parameters at a given iteration step. A combination of global and local heuristic optimization methods is used to determine the parameters of the JA hysteresis model. First, the SA method is applied and after that the NMS method is used in the process. Findings The implementation of a physical constraint improves the robustness of the parameter fitting and leads to more physical hysteresis loops. Modeling the anhysteretic magnetization by a spline fitted to the average of a measured major hysteresis loop provides a significantly better fit with the data than using analytical functions for the purpose. The results show that a modified logistic function can be considered a suitable anhysteretic (analytical) function for the NO silicon steel used in this paper. At high magnitude excitations, the average M(H) curve yields the proper fitting with the measured hysteresis loop. However, the parameters valid for the major hysteresis loop do not produce proper fitting for minor hysteresis loops. Originality/value The physical constraint is added in the SA and NMS optimization algorithms. The optimization algorithms are taken from the GNU Scientific Library, which is available from the GNU project. The methods described in this paper can be applied to estimate the physical parameters of the JA hysteresis model, particularly for the unidirectional alternating B(H) characteristics of NO silicon steel.

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Section: Parameter Estimationmentioning

confidence: 98%

A constraint-based optimization technique for estimating physical parameters of Jiles – Atherton hysteresis model

Upadhaya

Rasilo²,

Perkkiö

et al. 2020

COMPEL

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“…Establish outer diameter The core material was self-defined as 3wt% ferrosilicon alloy, and the magnetization curve was set based on the data obtained from the simulation of the improved J-A model. The parameters of the J-A model were sought and optimized in reference [7] and finally set as :…”

Section: Current Transformer Finite Element Simulation Modelmentioning

confidence: 99%

Modified simulation of classical J-A model based on finite element simulation model of current transformer

Wu,

Chen

2024

Eighth International Conference on Energy System, Electricity, and Power (ESEP 2023)

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In order to study the transmission characteristics of Current Transformer (CT) used for measurement under the saturation operating point of iron core, the numerical model based on the classical J-A model is usually used to explore the saturation characteristics of CT. However, because the classical J-A magnetization theoretical model of Langevin function has nonmaterial understanding, it needs to be modified. Therefore, based on the discontinuity of deflection Angle of magnetic domains in magnetic physics, the universal Brillouin function is introduced in this paper, and a new hysteretic model of iron core is formed by modifying the classical J-A magnetization theory. Combined with the modified J-A hysteresis model, a single core CT finite element simulation model is established in Ansys, and the variable current transfer under different working conditions is simulated, which verifies the feasibility of the classical J-A model for correcting the route.

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“…Fe-3% Si grain-oriented electrical steel hysteresis performance can significantly affect its behavior as magnetic sensors [18]. In the characterization analysis of sensors and other detection equipment, the accurate waveforms flux is usually needed, and it is necessary to analyze the electromagnetic fields, and the hysteresis characteristics of grain-oriented electrical steel must be taken into account [1]. To study the hysteresis characteristics, firstly, the hysteresis characteristics of oriented electrical steel should be simulated, namely, the establishing of a mathematical model of hysteresis grainoriented electrical steel.…”

Section: Sample Simentioning

confidence: 99%

“…Fe-3% Si grain-oriented electrical steel is an important soft magnetic material, which is often used for cigarette machine sensor because of its high magnetic flux density and good magnetic performance [1][2][3][4][5]. Therefore, parameters such as iron loss, permeability, shielding efficiency, and Barkhausen noise of Fe-3% Si grain-oriented electrical steel have been studied extensively.…”

Section: Introductionmentioning

confidence: 99%

A Novel Hysteresis Model of Magnetic Field Strength Determined by Magnetic Induction Intensity for Fe-3% Si Electrical Steel Applied in Cigarette Making Machines

Wang

Zhan

et al. 2016

Journal of Materials

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Hysteresis characteristics of grain-oriented electrical steel were studied through the hysteresis loop. Existing hysteresis fitting simulation methods were summarized, and new Fe-3% Si grain-oriented electrical steel hysteresis loop model was proposed. Undetermined coefficients of the magnetic field intensity and magnetic flux density were determined by both the fixed angle method and the least squares method, and the hysteresis loop model was validated with high fitting degree by experimental data.

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Optimized model for magnetic hysteresis in silicon-iron sheets by using the simulated annealing algorithm

Cited by 9 publications

References 9 publications

A constraint-based optimization technique for estimating physical parameters of Jiles – Atherton hysteresis model

A constraint-based optimization technique for estimating physical parameters of Jiles – Atherton hysteresis model

Modified simulation of classical J-A model based on finite element simulation model of current transformer

A Novel Hysteresis Model of Magnetic Field Strength Determined by Magnetic Induction Intensity for Fe-3% Si Electrical Steel Applied in Cigarette Making Machines

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