Abstract
The paper provides the analyse of three simplified models of hysteresis loop suitable for technical purposes. Models consider the coercive field and utilize linear approximation with saturation, Langevin equation as well as arcus tangent functions. Validation of the models was done on the experimental data from measurements of magnetic hysteresis loops of four different materials. Accuracy of the models is assessed quantitatively. Finally, the parameters for practical application of the models are presented from the point of view different magnetic materials used in modelling by the finite elements method or the method of the moments.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Jiles, D.C., Atherton, D.L.: Theory of ferromagnetic hysteresis. J. Magn. Magn. Mater. 61, 48–60 (1986)
Liorzou, F., Phelps, B., Atherton, D.L.: Macroscopic models of magnetization. IEEE Trans. Magn. 36, 418 (2000)
Ramesh, A., Jiles, D.C., Roderik, J.: A model of anisotropic anhysteretic magnetization. IEEE Trans. Magn. 32, 4234–4236 (1999)
Szewczyk, R.: Validation of the anhysteretic magnetization model for soft magnetic materials with perpendicular anisotropy. Materials 7, 5109–5116 (2014)
Barton, J.P.: Empirical equations for the magnetization curve. Trans. Am. Inst. Electr. Eng. 52, 659 (1933)
Maxim, A., Andreu, D., Boucher, J.: A new analog behavioral SPICE macromodel of magnetic components. In: Proceedings of the IEEE International Symposium on Industrial Electronics ISIE 1997, p. 183 (1997)
Jiles, D.C., Atherton, D.L.: Ferromagnetic hysteresis. IEEE Trans. Magn. 19, 2183 (1983)
Ponjavic, M.M., Duric, M.R.: Nonlinear modeling of the self-oscillating fluxgate current sensor. IEEE Sens. J. 7, 1546 (2007)
Szewczyk, R.: Application of Jiles-Atherton model for modelling magnetization characteristics of textured electrical steel magnetized in easy or hard axis. In: Szewczyk, R., Zieliński, C., Kaliczyńska, M. (eds.) Progress in Automation, Robotics and Measuring Techniques. Advances in Intelligent Systems and Computing, vol. 350, pp. 293–302. Springer, Heidelberg (2015)
Jackiewicz, D., Kachniarz, M., Rożniatowski, K., Dworecka, J., Szewczyk, R., Salach, J., Bieńkowski, A.: Temperature resistance of magnetoelastic characteristics of 13CrMo4-5 constructional steel. Acta Phys. Pol., A 127, 614–616 (2015)
Lagarias, J.C., Reeds, J.A., Wright, M.H., Wright, P.E.: Convergence properties of the Nelder-Mead simplex method in low dimensions. SIAM J. Optim. 9, 112–147 (1998)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this paper
Cite this paper
Szewczyk, R., Nowicki, M., Rzeplińska-Rykała, K. (2017). Models of Magnetic Hysteresis Loops Useful for Technical Simulations Using Finite Elements Method (FEM) and Method of the Moments (MoM). In: Szewczyk, R., Kaliczyńska, M. (eds) Recent Advances in Systems, Control and Information Technology. SCIT 2016. Advances in Intelligent Systems and Computing, vol 543. Springer, Cham. https://doi.org/10.1007/978-3-319-48923-0_11
Download citation
DOI: https://doi.org/10.1007/978-3-319-48923-0_11
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-48922-3
Online ISBN: 978-3-319-48923-0
eBook Packages: EngineeringEngineering (R0)