Simple Mathematical Model for Ferromagnetic Core Inductance and Experimental Validation

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.

Website: http://www.arjonline.org/engineering/american-research-journal-of-electrical-engineering/