Simple Mathematical Model for Ferromagnetic Core Inductance and Experimental Validation

B. Nana^1, , S. B. Yamgoué¹, R. Tchitnga² and P. Woafo³

¹Department of Physics, Higher Teacher Training College, University of Bamenda, PO Box 39 Bamenda, Cameroon

²Laboratory of Electronics and Signal Processing, Faculty of Science, University of Dschang, PO Box 67 Dschang Cameroon

³Laboratory of Modelling and Simulation in Engineering, Biomimetics and Prototypes, Faculty of Science, University of Yaounde I, PO Box 812 Yaounde, Cameroon

Cite this paper

B. Nana, S. B. Yamgoué, R. Tchitnga and P. Woafo. Simple Mathematical Model for Ferromagnetic Core Inductance and Experimental Validation. American Journal of Electrical and Electronic Engineering. 2015; 3(2):29-36. doi: 10.12691/AJEEE-3-2-2

Abstract

In determining the properties and inductance of ferromagnetic core inductor, hysteresis modeling is of high importance. Many models are available to investigate those characteristics but they tend to be complex and difficult to implement. In this paper, we report a new mathematical model based on the experimental data of hysteresis for ferromagnetic core inductor. The proposed model can restore the hysteresis curve with a little RMS error. We used the model to determine analytically the expression of the current in a RL series circuit forced by an alternating source. A good agreement is found between our theoretical and experimental results.

Keywords

nonlinear, inductance, ferromagnetic, core, hysteresis

Copyright

This work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

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