Ferromagnetic core coil hysteresis modeling using fractional derivatives

Sowa, Marcin; Majka, Łukasz

doi:10.1007/s11071-020-05811-3

Cited by 20 publications

(9 citation statements)

References 61 publications

(77 reference statements)

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“…Note that the magnitude of Z (α, ω) is given by ω α L α . An FOI, ideally described by Equation (1), can be used to accurately model or implement dynamical systems in a wide range of applications such as respiratory systems, 23 brain monitoring, 24 bioelectrodes, 25 energy storage, 26 F I G U R E 1 Comparison between conventional electrical elements R and L, RL series circuit, and fractional-order inductor electromagnetics, 27 rectifiers, 28 resonators, 10,29 oscillators, [29][30][31] impedance matching networks, 6,32 chaotic system, 33 transmission line, 11 and sensory transducers. 25 The use of these applications in real-life requires actual implementations of FOIs.…”

Section: Introductionmentioning

confidence: 99%

A variable fractional‐order inductor design

Zhang

Kartci

Bağcı

et al. 2022

Circuit Theory & Apps

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Recently, interest in fractional‐order inductors (FOIs) has increased since they allow for accurate and robust models of dynamical systems to be designed. However, practical implementation of these models has not been possible due to the lack of single FOI realizations. To address this challenge, in this work, we propose a simple‐to‐realize fractional‐order inductor design with variable constant phase angle (CPA). The design relies on characteristics of transverse electromagnetic (TEM) mode propagating on a coaxial structure filled with conductive material, more specifically NaCl‐water solution and flour‐based mixtures. The CPA of the resulting FOI can be tuned by changing the conductivity of the dough mixture. Analysis of the proposed FOI design show that the CPA can vary in a range from 0° to 90°. Two of these CPA values are verified against experiments in the frequency band changing from 1 to 10 MHz.

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Section: Introductionmentioning

confidence: 99%

A variable fractional‐order inductor design

Zhang

Kartci

Bağcı

et al. 2022

Circuit Theory & Apps

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“…The additional term may possibly be described with a fractional power law. Such relationships have recently been the subject of considerable research [ 65 , 66 , 67 ].…”

Section: Introductionmentioning

confidence: 99%

The Effects of Sheet Thickness and Excitation Frequency on Hysteresis Loops of Non-Oriented Electrical Steel

Chwastek

2022

Sensors

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The paper focuses on modeling the rate dependence of hysteresis loops in conductive magnetic materials. The concept, which was advanced about fifty years ago by Chua, is discussed. It is shown that the viscous-type equation considered by Zirka and co-workers belongs to the class of Chua-type models. The dynamic effects are described with a simple fractional power law. The value of the exponent in the above-mentioned power law may be assessed on the basis of measurements of coercive field strength at different excitation frequencies. To verify the usefulness of the approach, the measurements of hysteresis loops were carried out at several excitation frequencies under standardized conditions for two grades of non-oriented electrical steel. The modeled curves are in a good correspondence with the measured ones. The considered model uses fewer parameters than approaches based on three-term loss separation schemes.

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“…Solak et al [23] provided an analytical method to detect the ferroresonance phenomenon in (MV) Networks. In addition, there are many researches in the form of an analysis and a case study only, without presenting actual studies [24], [25]. Hajizadeh et al [26] examined the effect of changing the type of distribution transformer on the ferroresonance response, but this study was conducted in a no-load condition.…”

Section: Introductionmentioning

confidence: 99%

Elimination of ferroresonance in the distribution zone by high ohmic reactor-shunt limiter

Abdel-hamed

El-Shafhy²,

Badran³

2022

IJEECS

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Electrical network components catastrophically fail as a result of aberrant system oscillations. Also, consequently leads to saturation in the ferromagnetic core elements. These factors induce distortions in the voltage and current waveforms as well as a large rise in voltage or current. This paper presents the role of distributed generation (DG) in contributing to ferroresonance investigation reduction in the distribution sector. A high ohmic reactor-shunt limiter (HOR-SL) is introduced as a novel technique based on a negative sequence component to mitigate ferroresonance. The proposed HOR-SL reduces the ferroresonance in distribution system (DS) by no more than 10.5 msec. A PSCAD/EMTDC software is used to model the ferroresonance phenomenon. The simulation results strongly show the effectiveness of using the proposed HOR-SL for limiting ferroresonant oscillations and creating stable orbit in the distribution sector. Case studies verified the effectiveness of the proposed technique in mitigating ferroresonance oscillations and keeping the security of the distribution zone.

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Ferromagnetic core coil hysteresis modeling using fractional derivatives

Cited by 20 publications

References 61 publications

A variable fractional‐order inductor design

A variable fractional‐order inductor design

The Effects of Sheet Thickness and Excitation Frequency on Hysteresis Loops of Non-Oriented Electrical Steel

Elimination of ferroresonance in the distribution zone by high ohmic reactor-shunt limiter

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