On some approaches to model reversible magnetization processes

Chwastek, Krzysztof; Baghel, A. P. S.; Ram, B. Sai; Borowik, B.; Daniel, Laurent; Kulkarni, S.V.

doi:10.1088/1361-6463/aab0e1

Cited by 9 publications

(5 citation statements)

References 94 publications

(130 reference statements)

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“…The approach could similarly be used with the tanh function [233], as in studies by Takacs et al [138,213,307] and others studies [308,309]. These are using the tanh function for curve fitting with the equation written as…”

Section: Phenomenological Sigmoid Functionsmentioning

confidence: 99%

Review of Hysteresis Models for Magnetic Materials

Mörée

Leijon

2023

Energies

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There are several models for magnetic hysteresis. Their key purposes are to model magnetization curves with a history dependence to achieve hysteresis cycles without a frequency dependence. There are different approaches to handling history dependence. The two main categories are Duhem-type models and Preisach-type models. Duhem models handle it via a simple directional dependence on the flux rate, without a proper memory. While the Preisach type model handles it via memory of the point where the direction of the flux rate is changed. The most common Duhem model is the phenomenological Jiles–Atherton model, with examples of other models including the Coleman–Hodgdon model and the Tellinen model. Examples of Preisach type models are the classical Preisach model and the Prandtl–Ishlinskii model, although there are also many other models with adoptions of a similar history dependence. Hysteresis is by definition rate-independent, and thereby not dependent on the speed of the alternating flux density. An additional rate dependence is still important and often included in many dynamic hysteresis models. The Chua model is common for modeling non-linear dynamic magnetization curves; however, it does not define classical hysteresis. Other similar adoptions also exist that combine hysteresis modeling with eddy current modeling, similar to how frequency dependence is included in core loss modeling. Most models are made for scalar values of alternating fields, but there are also several models with vector generalizations that also consider three-dimensional directions.

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Section: Phenomenological Sigmoid Functionsmentioning

confidence: 99%

Review of Hysteresis Models for Magnetic Materials

Mörée

Leijon

2023

Energies

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“…In ferroresonance investigation, the shape of hysteresis curve significantly influences the ferroresonance phenomenon [45,46]. This is true not only for the major loop, but also in relation to various minor loops [47]. These are often ignored, e.g., in many computational programs.…”

Section: Iron Core Coil Examinationmentioning

confidence: 99%

“…For the presented current waveforms, the computed value is ε = 0.04%. In future investigations, the model can be studied from the viewpoint of its dynamic behavior, as this is important for ferroresonance analyses [10,47]. However, because of the Fig.…”

Section: Simulation Modulementioning

confidence: 99%

Diagnostic approach in assessment of a ferroresonant circuit

Majka

Klimas

2019

Electr Eng

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This paper presents possibilities offered by a diagnostic system called FeD. The system is completely original; it has been developed by the authors on the basis of Arduino platform. The system has been designed to perform and record measurements and to carry out different numerical operations. The real-time function for several operations is incorporated in this system. The necessary input data for the system consist of the electrical voltage waveforms only. Rescaled voltage quantities can be displayed, measured, recorded or computed in any chosen way. The system has been developed particularly for measurements and computations in the ferroresonant circuits. The strongest part of the system is its versatility. It works with a standard PC and supports a universal connection (USB standard). This is undeniably a cost-wise solution. Driving and control of the system functions are carried out using the authors' original software implemented in SciLab environment. This is free software, similar to and compatible with other existing CAD programs such as Octave and MATLAB. The obtained data, scripts and results can be freely transferred between them. The program is equipped with a transparent GUI. The need of constructing a special system to diagnose the ferroresonant circuit has emerged during earlier ferroresonance analyses and computations. Every ferroresonant circuit requires specific kind of diagnostics to estimate and display its base features in order to determine the best scientific approach to the problem. The ferroresonance phenomenon belongs to the domain of nonlinear problems. Its analysis requires excellent skills in mathematics and physics as well as computer science. Moreover, this subject also requires specialized engineering knowledge, particularly in the field of power engineering and power system equipment. Modern mathematical models and analyses used in ferroresonant computations are quite accurate; however, in case of a common user, they are often difficult to understand or implement. This paper provides full description of construction, features and test results of the developed hardware/software system designed for diagnostics of ferroresonant circuits. The test circuit case study has been performed in the entire power supply range. Results of measurements and computations as well as screenshots captured from authors' original software are shown in different figures. The developed software and recorded data have been finally used in modeling and further simulations. During this, the application of the fractional derivative iron core coil model to ferroresonance analysis has been shown. The waveforms obtained from computer simulations have been compared with those obtained from measurements performed in the test circuit.

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“…The nonlinear coil is a crucial element of each ferroresonant circuit. The shape of a hysteresis curve significantly influences the ferroresonance phenomenon [6,7]. Diagnostic of the test circuit coil was performed over a full range of supply voltage.…”

Section: Iron Core Coil Examinationmentioning

confidence: 99%

Diagnosis of a ferroresonance type through visualisation

Majka

Klimas

2019

ITM Web Conf.

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The paper is focused on presenting the possible enhancements in visualisation of the ferroresonance phenomenon. The investigations have been performed with the usage of overcurrent/overvoltage responses of a ferroresonance circuit. The waveforms have been measured and recorded in a ferroresonant test circuit. Phase-plane/-space graphs analysed in this paper are a visual display of certain type characteristics for the time dependent system of nonlinear differential equations. The application of Poincare maps is also mentioned in the paper.

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On some approaches to model reversible magnetization processes

Cited by 9 publications

References 94 publications

Review of Hysteresis Models for Magnetic Materials

Review of Hysteresis Models for Magnetic Materials

Diagnostic approach in assessment of a ferroresonant circuit

Diagnosis of a ferroresonance type through visualisation

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