Dynamic exponential model of ferromagnetic hysteresis

Schneider, Carl S.; Gedney, Stephen D.; Ojeda-Ayala, Netzahualcoyotl; Travers, Mark A.

doi:10.1016/j.physb.2020.412802

Cited by 10 publications

(5 citation statements)

References 28 publications

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“…The impedance measurement was done after a minimum of 50 seconds to avoid any transient phase issue. 1 Eddy current pancake coil sensor 2 DC power supply 3 LCR impedance-meter 4 Magnetic excitation yoke 5 Labview® controller 6 Power amplifier 7 Shunt resistor 8 B-coil 9 Frequency generator The tested specimens were all coming from the same batch. They were all electric steel, nonoriented grains (NO) FeSi laminations with a 3 wt % silicon content and referenced 35JNE250.…”

Section: -B) Experimental Set-upsmentioning

confidence: 99%

“…The dynamic dependence of the magnetization processes is one of them. Even if the first manuscript on this topic has been published in the middle of the 20 th century [1][2], the number of recent (last year) publications is impressive [3]- [11]. A plausible explanation for this surge of interest can be found in the evolution of electromagnetic devices: faster, compacter, and more efficient, forcing the magnetic materials over unprecedented dynamic conditions.…”

Section: -Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Low-frequency behavior of laminated electric steel sheet: Investigation of ferromagnetic hysteresis loops and incremental permeability

Zhang

Ducharne

Takeda

et al. 2021

Journal of Magnetism and Magnetic Materials

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The frequency dependence of ferromagnetic hysteresis and the related core losses is still an open question. From scaling relations up to space discretized and simultaneous contributions resolutions, different levels of accuracy in the estimation of these losses can be reached. Below a given frequency known as the quasi-static threshold, it is well admitted that the hysteresis cycle remains unchanged. A precise evaluation of this threshold is fundamental to simulate and evaluate precisely the magnetization behaviors under higher frequencies. But this estimation is complex, especially through the unique observation of the hysteresis cycles and because of instrumentation limitations. In this manuscript, we propose an alternative and simple method to precisely refine this threshold's estimation. By using an alternative magnetic signature known as the magnetic incremental permeability butterfly loop ( ( )), improvements are proposed in observing the very low-frequency magnetization behaviors and assessing the quasi-static threshold. This work constitutes a leap forward in understanding the magnetic low-frequency behaviors of laminated electric steel sheets.

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Section: -B) Experimental Set-upsmentioning

confidence: 99%

Section: -Introductionmentioning

confidence: 99%

Low-frequency behavior of laminated electric steel sheet: Investigation of ferromagnetic hysteresis loops and incremental permeability

Zhang

Ducharne

Takeda

et al. 2021

Journal of Magnetism and Magnetic Materials

View full text Add to dashboard Cite

show abstract

“…As a result, to achieve the precise sizing and optimal design of the magnetic cores for such applications, magnetic material models should be reproduced accurately minor hysteresis loops in overlap with the major loop or non-symmetrical hysteresis loops, etc. Hysteresis loops of ferromagnetic materials can be predicted using suitable mathematical-phenomenological models (Schneider et al , 2022; Schneider et al , 2023). Among these, in addition to the milestone paper by Stoner and Wohlfarth (1948), should be mentioned Preisach-based models (Mayergoyz, 2003; Cardelli et al , 2010; Ghanim et al , 2019) and those of the play and stop type (Bobbio et al , 1997; Matsuo et al , 2004; Krasnosel’skii and Pokrovskii, 2012; Antonio et al , 2021).…”

Section: Introductionmentioning

confidence: 99%

Limitations of Jiles–Atherton models to study the effect of hysteresis in electrical steels under different excitation regimes

Atyia,

Ghanim

2023

COMPEL

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Purpose The accurate modeling of magnetic hysteresis in electrical steels is important in several electrical and electronic applications. Numerical models have long been known that can correctly reproduce some typical behaviours of these magnetic materials. Among these, the model proposed by Jiles and Atherton must certainly be mentioned. This model is intuitive and fairly easy to implement and identify with relatively few experimental data. Also, for this reason, it has been extensively studied in different formulations. The developments and numerical tests made on this hysteresis model have indicated that it is able to accurately reproduce symmetrical cycles, especially the major loop, but often it fails to reproduce non-symmetrical cycles. This paper aims to show the positive aspects and highlight the defects of the different formulations in predicting the minor loops of electrical steels excited by non-sinusoidal currents. Design/methodology/approach The different formulations are applied to different electrical steels, and the data coming from the simulations are compared with those measured experimentally. The direct and inverse Jiles–Atherton models, including the introduction of the dissipative factor approach, are presented, and their limitations are proposed and validated using the measurements of three non-grain-oriented materials. Only the measured major loop is used to identify the parameters of the Jiles–Atherton model. Furthermore, the direct and inverse Jiles–Atherton models were used to simulate the minor loops as well as the hysteresis cycles with direct component (DC) bias excitation. Finally, the simulation results are discussed and compared to measurements for each study case. Findings The paper indicates that both the direct and the inverse Jiles–Atherton model formulations provide a good agreement with the experimental data for the major loop representation; nevertheless, both models can not accurately predict the minor loops even when the modification approaches proposed in the literature were implemented. Originality/value The Jiles–Atherton model and its modifications are widely discussed in the literature; however, some limitations of the model and its modification in the case of the distorted current waveform are not completely highlighted. Furthermore, this paper contains an original discussion on the accuracy of the prediction of minor loops from distorted current waveforms, including DC bias.

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“…The probability density function of the hysteresis operator's switching states must be fitted from experimental data, and it is a material characteristic that defines the shape of the major loop and any trajectory inside it (minor loops) [4]. The combination of Jiles-Atherton (J-A) and Preisach models with the theory of Néel's fluctuating field introduced an exponential model [5], which was able to accurately predict even more intricate magnetic behaviors, but is rather complex. The Harrison model was also implemented for specific material types [6].…”

Section: Introductionmentioning

confidence: 99%

Estimation of Jiles-Atherton Parameters of Toroid Cores Using MATLAB/Simulink

2023

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This paper addresses the development and testing of a new genetic-like algorithm for the Jiles-Atherton ferromagnetic hysteresis model parameter fitting. The MATLAB/Simulink environment was used for the simulation and postprocessing of data. Firstly, the model's first-order ordinary differential equation is introduced with a brief description of its parameters. A correction parameter was introduced into the equation to eliminate the non-physical behavior of the model. Then the fitting algorithm and fit function are described. An experimental setup is built to measure the hysteretic loops of a ferromagnetic toroid core consisting of an iron powder material. The major and several minor hysteresis loops were measured and used as inputs into the model fitting algorithm. The measurement is then compared with the simulated results.

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Dynamic exponential model of ferromagnetic hysteresis

Cited by 10 publications

References 28 publications

Low-frequency behavior of laminated electric steel sheet: Investigation of ferromagnetic hysteresis loops and incremental permeability

Low-frequency behavior of laminated electric steel sheet: Investigation of ferromagnetic hysteresis loops and incremental permeability

Limitations of Jiles–Atherton models to study the effect of hysteresis in electrical steels under different excitation regimes

Estimation of Jiles-Atherton Parameters of Toroid Cores Using MATLAB/Simulink

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