Improvement to the second-order rational functions approximation for hysteresis cycles of magnetic materials

Purpose - The purpose of this paper is to introduce a simplified method, based on an improvement to the actual second-order approximation to magnetic hysteresis curves, to calculate an estimation of quasi-static hysteresis loops of ferromagnetic materials. Design/methodology/approach - The addition of a new dB(B) function is proposed to second-order rational approximation for the upward and downward magnetic quasi-static hysteresis loop. The new semi-empirical approach is tested with typical cycles of commercial Ni-ferrites (ferroxcube) and Ni standards using a vibrating sample magnetometer (VSM). Findings - The model is simple and a fast tool to reproduce with reasonable accuracy the hysteresis loops based on appropriate parameters of materials under analysis. The proposed extension to the Rivas model has reduced the maximum difference between experimental and modeled values from 19 to 0.08 per cent in the approximation to different hysteresis cycles of the magnetic materials studied here. Originality/value - This paper presents an improvement to second-order rational functions approach for fitting of hysteresis loops with simple added functions.