Modelling of Nonlinear Magnetic Properties of Current Transformers with Piecewise Bézier Curves

Authors

Ermin Rahmanović
University of Maribor, Faculty of Electrical Engineering and Computer Science
https://orcid.org/0009-0007-6956-6634
Matej Kerndl
University of Maribor, Faculty of Electrical Engineering and Computer Science
Boštjan Polajžer
University of Maribor, Faculty of Electrical Engineering and Computer Science
https://orcid.org/0000-0001-5022-7391
Jernej Černelič
University of Maribor, Faculty of Electrical Engineering and Computer Science
https://orcid.org/0000-0002-0401-371X
Martin Petrun
University of Maribor, Faculty of Electrical Engineering and Computer Science
https://orcid.org/0000-0001-9134-5802

Synopsis

The magnetic properties of iron cores of contemporary electrical devices, such as current transformers, are highly nonlinear. This work proposes a simple modelling method for the nonlinear magnetic properties using piecewise Bézier curves. An anhysteretic curve is modelled with three measured points. Two second order Bézier curves are joined to form a composite curve based on those measured points. The modelled curve was then compared with a measured anhysteretic curve of a commercial electrical steel sheet. The presented results confirm that this approach with piecewise Bézier curves shows high potential to model magnetization curves.

Author Biographies

Ermin Rahmanović, University of Maribor, Faculty of Electrical Engineering and Computer Science

Maribor, Slovenia. E-mail: ermin.rahmanovic@um.si

Matej Kerndl, University of Maribor, Faculty of Electrical Engineering and Computer Science

Maribor, Slovenia. E-mail: matej.kerndl@um.si

Boštjan Polajžer, University of Maribor, Faculty of Electrical Engineering and Computer Science

Maribor, Slovenia. E-mail: bostjan.polajzer@um.si

Jernej Černelič, University of Maribor, Faculty of Electrical Engineering and Computer Science

Maribor, Slovenia. E-mail: jernej.cernelic@um.si

Martin Petrun, University of Maribor, Faculty of Electrical Engineering and Computer Science

Martin Petrun received his BSc and PhD degrees in electrical engineering from the University of Maribor, Maribor, Slovenia, in 2010 and 2014, respectively. He is currently working as a researcher and an associate professor at the University of Maribor. His current research interests include modelling of dynamic phenomena inside soft magnetic materials as well as modelling and control of electrical and electromechanical converters and power electronics.

Maribor, Slovenia. E-mail: martin.petrun@um.si

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Volume

XXVIII. Symposium Electromagnetic Phenomena in Nonlinear Circuits (EPNC 2024): Conference Proceedings

Pages

107-114

Published

May 14, 2025

Categories

Copyright (c) 2025 University of Maribor, University Press

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

Modelling of Nonlinear Magnetic Properties of Current Transformers with Piecewise Bézier Curves. (2025). In XXVIII. Symposium Electromagnetic Phenomena in Nonlinear Circuits (EPNC 2024): Conference Proceedings (pp. 107-114). University of Maribor Press. https://press.um.si/index.php/ump/catalog/book/963/chapter/466