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Adaptation and parametrization of an iron loss model for rotating magnetization loci in NO electrical steel

Benedikt Schauerte (Institute of Electrical Machines (IEM), Rheinisch Westfalische Technische Hochschule Aachen University, Aachen, Germany)
Martin Marco Nell (Institute of Electrical Machines (IEM), Rheinisch Westfalische Technische Hochschule Aachen University, Aachen, Germany)
Tim Brimmers (Institute of Electrical Machines (IEM), Rheinisch Westfalische Technische Hochschule Aachen University, Aachen, Germany)
Nora Leuning (Institute of Electrical Machines (IEM), Rheinisch Westfalische Technische Hochschule Aachen University, Aachen, Germany)
Kay Hameyer (Institute of Electrical Machines (IEM), Rheinisch Westfalische Technische Hochschule Aachen University, Aachen, Germany)

COMPEL - The international journal for computation and mathematics in electrical and electronic engineering

ISSN: 0332-1649

Article publication date: 5 November 2021

Issue publication date: 28 March 2022

97

Abstract

Purpose

The magnetic characterization of electrical steel is typically examined by measurements under the condition of unidirectional sinusoidal flux density at different magnetization frequencies. A variety of iron loss models were developed and parametrized for these standardized unidirectional iron loss measurements. In the magnetic cross section of rotating electrical machines, the spatial magnetic flux density loci and with them the resulting iron losses vary significantly from these unidirectional cases. For a better recreation of the measured behavior extended iron loss models that consider the effects of rotational magnetization have to be developed and compared to the measured material behavior. The aim of this study is the adaptation, parametrization and validation of an iron loss model considering the spatial flux density loci is presented and validated with measurements of circular and elliptical magnetizations.

Design/methodology/approach

The proposed iron loss model allows the calculation and separation of the different iron loss components based on the measured iron loss for different spatial magnetization loci. The separation is performed in analogy to the conventional iron loss calculation approach designed for the recreation of the iron losses measured under unidirectional, one-dimensional measurements. The phenomenological behavior for rotating magnetization loci is considered by the formulation of the different iron loss components as a function of the maximum magnetic flux density Bm, axis ratio fAx, angle to the rolling direction (RD) θ and magnetization frequency f.

Findings

The proposed formulation for the calculation of rotating iron loss is able to recreate the complicated interdependencies between the different iron loss components and the respective spatial magnetic flux loci. The model can be easily implemented in the finite element analysis of rotating electrical machines, leading to good agreement between the theoretically expected behavior and the actual output of the iron loss calculation at different geometric locations in the magnetic cross section of rotating electrical machines.

Originality/value

Based on conventional one-dimensional iron loss separation approaches and previously performed extensions for rotational magnetization, the terms for the consideration of vectorial unidirectional, elliptical and circular flux density loci are adjusted and compared to the performed rotational measurement. The presented approach for the mathematical formulation of the iron loss model also allows the parametrization of the different iron loss components by unidirectional measurements performed in different directions to the RD on conventional one-dimensional measurement topologies such as the Epstein frames and single sheet testers.

Keywords

Acknowledgements

This work was supported by the Deutsche Forschungsgemeinschaft (DFG) in the DFG priority program “SPP2013 – Focused Local Stress Imprint in Electrical Steel as Means of Improving the Energy Efficiency”-HA 4395/22-1 and in the DFG research group project “FOR 1897 – Low-Loss Electrical Steel for Energy-Efficient Electrical Drives” and as part of the DFG research project “Improved modeling and characterization of ferromagnetic materials and their losses.”

Citation

Schauerte, B., Nell, M.M., Brimmers, T., Leuning, N. and Hameyer, K. (2022), "Adaptation and parametrization of an iron loss model for rotating magnetization loci in NO electrical steel", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 41 No. 2, pp. 589-599. https://doi.org/10.1108/COMPEL-06-2021-0218

Publisher

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Emerald Publishing Limited

Copyright © 2021, Emerald Publishing Limited

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