1. Parameter estimation for the basic Zirka-Moroz history-dependent hysteresis model for electrical steelsMartin Petrun, Ermin Rahmanović, 2025, original scientific article Abstract: History-dependent hysteresis models can potentially describe magnetization curves of all orders accurately. This property is essential for modeling magnetization and power loss in magnetic components subjected to distorted excitation waveforms, which result in complex magnetization patterns such as offset minor loops. The basic Zirka–Moroz history-dependent hysteresis model offers a good balance between the model’s complexity and accuracy. However, estimating the model’s parameters can be challenging. This research provides insight into the parameter estimation procedure for the discussed hysteresis model. Based on the measured first-order reversal curves, the fundamental two-step parameter estimation procedure was employed and analyzed for two non-oriented and one grain-oriented electrical steel types used widely in contemporary electric drives and electromagnetic devices. For each sample evaluated, two sets of parameters were estimated and compared to the reference parameters recommended for non-oriented electrical steels. The performed analysis is essential for gaining a comprehensive understanding of the capabilities, challenges, requirements, and limitations associated with estimating the parameters and performance of the analyzed model for specific electrical steel types.
Keywords: history-dependent hysteresis model, grain-oriented electrical steel, magnetic hysteresis, non-oriented electrical steel, parameter estimation, static hysteresis
Published in DKUM: 30.05.2025; Views: 0; Downloads: 2
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2. Analysis of higher-order bézier curves for approximation of the static magnetic properties of NO electrical steelsErmin Rahmanović, Martin Petrun, 2024, original scientific article Abstract: Adequate mathematical description of magnetization curves is indispensable in engineering. The accuracy of the description has a significant impact on the design of electric machines and devices. The aim of this paper was to analyze the capability of Bézier curves systematically, to describe the nonlinear static magnetic properties of non-oriented electrical steels, and to compare this approach versus the established mathematical descriptions. First, analytic functions versus measurements were analyzed. The Bézier curves were then compared systematically with the most adequate analytic functions. Next, the most suitable orders of Bézier curves were determined for the approximation of nonlinear magnetic properties, where the influence of the range of the input measurement dataset on the approximation process was analyzed. Last, the extrapolation capabilities of the Bézier curves and analytic functions were evaluated. The general conclusion is that Bézier curves have adequate flexibility and significant potential for the approximation and extrapolation of nonlinear properties of non-oriented electrical steels.
Keywords: analytical modeling, anhysteretic curve, applied mathematics, Bézier curve, curve fitting, first magnetization curve, major loop, mathematical modeling, non-oriented electrical steel
Published in DKUM: 01.02.2024; Views: 382; Downloads: 42
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3. Suitability of the double Langevin function for description of anhysteretic magnetization curves in NO and GO electrical steel gradesSimon Steentjes, Martin Petrun, G. Glehn, Drago Dolinar, Kay Hameyer, 2017, original scientific article Abstract: This paper compares the match obtained using the classical Langevin function, the tanh function as well as a recently by the authors proposed double Langevin function with the measured anhysteretic magnetization curve of three different non-oriented electrical steel grades and one grain-oriented grade. Two standard non-oriented grades and a high-silicon grade (Si content of 6.5%) made by CVD are analyzed. An excellent match is obtained using the double Langevin function, whereas the classical solutions are less appropriate. Thereby, problems such as those due to propagation of approximation errors observed in hysteresis modeling can be bypassed.
Keywords: polarization, magnetization measurement, magnetic materials, hysteresis models, Langevin function, electrical steel, saturation
Published in DKUM: 03.08.2017; Views: 1246; Downloads: 432
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