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Paul Moses

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Paul Moses

WSEAS Transactions on Systems

Print ISSN: 1109-2777
E-ISSN: 2224-2678

Volume 17, 2018

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of WSEAS Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.

Volume 17, 2018

A New Object-Oriented Simulation Tool for Modeling Preisach-Based Magnetic Hysteresis Nonlinearities

AUTHORS: Paul Moses

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ABSTRACT: The Preisach theory of hysteresis is regarded by many experts to be the most accurate physical description of hysteresis behavior, especially in ferromagnetism. Unfortunately, its practical applications and accessibility to students and researchers are limited due to its complex formulation and numerical implementation. Instead, simpler and less accurate hysteresis models or anhysteretic single-value nonlinear models are often employed. This paper proposes a new and relatively simple object-oriented model representation for Preisach theory in MATLAB-Simulink. The developed hysteresis block is highly customizable for modeling complex dynamical systems and is also ideal for use in educational courses to allow students to simulate and further their understanding of ferromagnetism and hysteresis behavior in nonlinear systems.

KEYWORDS: Preisach, magnetics, hysteresis, nonlinear model


[1] P. S. Moses, M. A. S. Masoum, and H. A. Toliyat, 'Impacts of hysteresis and magnetic couplings on the stability domain of ferroresonance in asymmetric three-phase three-leg transformers,' IEEE Transactions on Energy Conversion, vol. 26, pp. 581-592, 2011.

[2] P. S. Moses, M. A. S. Masoum, and H. A. Toliyat, 'Dynamic modeling of three-phase asymmetric power transformers with magnetic hysteresis: no-load and inrush conditions,' IEEE Transactions on Energy Conversion, vol. 25, pp. 1040-1047, 2010.

[3] P. S. Moses and M. A. S. Masoum, 'Modeling ferroresonance in singleWSEAS phase transformer cores with hysteresis,' in Proc. 8th WSEAS International Conference on Electric Power Systems, High Voltages, Electric Machines, Genova, Italy, 2009.

[4] P. S. Moses and M. A. S. Masoum, 'Modeling subharmonic and chaotic ferroresonance with transformer core model including magnetic hysteresis effects,' WSEAS Transaction on Power Systems, vol. 4, pp. 361-371, 2009.

[5] M. Kezunovic, 'User-friendly, opensystem software for teaching protective relaying application and design concepts,' IEEE Transactions on Power Systems, vol. 18, pp. 986-992, 2003.

[6] L. Goel, T. T. Lie, A. I. Maswood, and G. B. Shrestha, 'Enhancing power engineering education through the use of design modules,' IEEE Transactions on Power Systems, vol. 11, pp. 1131-1138, 1996.

[7] A. Mehrizi-Sani and R. Iravani, 'On the educational aspects of potential functions for the system analysis and control,' IEEE Transactions on Power Systems, vol. 26, pp. 878-885, 2011.

[8] N. Mohan, A. K. Jain, P. Jose, and R. Ayyanar, 'Teaching utility applications of power electronics in a first course on power systems,' IEEE Transactions on Power Systems, vol. 19, pp. 40-47, 2004.

[9] R. D. Zimmerman, C. E. MurilloSanchez, and R. J. Thomas, 'MATPOWER: steady-state operations, planning, and analysis tools for power systems research and education,' IEEE Transactions on Power Systems, vol. 26, pp. 12-19, 2011.

[10] E. Allen, N. LaWhite, Y. Yoon, J. Chapman, and M. Ilic, 'Interactive object-oriented simulation of interconnected power systems using SIMULINK,' IEEE Transactions on Education, vol. 44, pp. 87-94, 2001.

[11] E. Della Torre, 'Problems in physical modeling of magnetic materials,' Physica B: Condensed Matter, vol. 343, pp. 1-9, 2004.

[12] F. Preisach, 'Uber die magnetishe nachwerikung,' Zeitschrift fur Physik, vol. B 94, pp. 277-302, 1935.

[13] S. Prigozy, 'PSPICE computer modeling of hysteresis effects,' IEEE Transactions on Education, vol. 36, pp. 2-5, 1993.

[14] K. D. T. Ngo, 'Subcircuit modeling of magnetic cores with hysteresis in PSpice,' IEEE Transactions on Aerospace and Electronic Systems, vol. 38, pp. 1425-1434, 2002.

[15] D. Jiles and D. Atherton, 'Ferromagnetic hysteresis,' IEEE Transactions on Magnetics, vol. 19, pp. 2183-2185, 1983.

[16] F. Liorzou, B. Phelps, and D. L. Atherton, 'Macroscopic models of magnetization,' IEEE Transactions on Magnetics, vol. 36, pp. 418-428, 2000.

[17] S. Y. R. Hui and J. Zhu, 'Numerical modelling and simulation of hysteresis effects in magnetic cores using transmission-line modelling and the Preisach theory,' IEE Proceedings Electric Power Applications, vol. 142, pp. 57-62, 1995.

[18] H. Lamba and et al., 'The effect of circuit parameters on ferroresonant solutions in an LCR circuit,' Journal of Physics A: Mathematical and General, vol. 31, p. 7065, 1998.

[19] H. Lamba, M. Grinfeld, S. McKee, and R. Simpson, 'Subharmonic ferroresonance in an LCR circuit with hysteresis,' IEEE Transactions on Magnetics, vol. 33, pp. 2495-2500, 1997.

[20] S. R. Naidu, 'Simulation of the hysteresis phenomenon using Preisach’s theory,' IEE Proceedings on Physical Science, Measurement and Instrumentation, vol. 137, pp. 73-79, 1990.

[21] 'MATLAB/Simulink Version (R2009a),' ed. Natick, MA: MathWorks, Inc.

[22] M. Krasnoselskii and A. Pokrovskii, Systems with hysteresis: Nauka, Moscow, 1983.

[23] I. D. Mayergoyz, Mathematical models of hysteresis and their applications, 1st ed. Amsterdam ; Boston: Elsevier, 2003.

WSEAS Transactions on Systems, ISSN / E-ISSN: 1109-2777 / 2224-2678, Volume 17, 2018, Art. #3, pp. 24-35

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