Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 30677
Electrical and Magnetic Modelling of a Power Transformer: A Bond Graph Approach

Authors: Gilberto Gonzalez-A, Dunia Nuñez-P

Abstract:

Bond graph models of an electrical transformer including the nonlinear saturation are presented. The transformer using electrical and magnetic circuits are modelled. These models determine the relation between self and mutual inductances, and the leakage and magnetizing inductances of power transformers with two windings using the properties of a bond graph. The equivalence between electrical and magnetic variables is given. The modelling and analysis using this methodology to three phase power transformers can be extended.

Keywords: bond graph, nonlinear saturation, electrical transformer, magnetic circuits

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1077787

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 4107

References:


[1] George McPerson and Robert D. Laramore, An Introduction to Electrical Machines and Transformers, John, Wiley & Sons, 1990.
[2] Dean C. Karnopp, Donald L. Margolis and Ronald C. Rosenberg, System Dynamics Modeling and Simulation of Mechatronic Systems, Wiley, John & Sons, 2000.
[3] P. E. Wellstead, Physical System Modelling, Academic Press, London, 1979.
[4] Z. Q. Wu, G. H. Shirkoohi, J. Z. Cao, "Simple dynamic hysteresis modelling of three phase power transformer", Journal of Magnetism and Magnetic Materials 160(1996) pp.79-80.
[5] Chee-Mun Ong, Dynamic Simulation of Electric Machinery Using Mat- Lab/Simulink, Prentice-Hall, 1998.
[6] H. Fraisse, J. P. Masson, F. Marthouret and H. Morel, "Modeling od a Non-Linear Conductive Magnetic Circuit. Part 2: Bond Graph Formulation", IEEE Transactions on Magnetics Vol. 31, No. 6, November 1995.
[7] C. Sueur and G. Dauphin-Tanguy, "Bond graph approach for structural analysis of MIMO linear systems", Journal of the Franklin Institute, Vol. 328, No. 1, pp. 55-70, 1991.
[8] David C. Hamill, "Lumped Equivalent Circuits of Magnetic Components: The Gyrator-Capacitor Approach", IEEE Transactions on Power Electronics, Vol. 8, No. 2, April 1993.
[9] S. Garcia, A. Medina and C. Perez, "A state space single-phase transformer model incorporating nonlinear phenomena of magnetic saturation and hysteresis for transient and period steady-state analysis", IEEE Power Engineering Society Summer Meeting, Vol. 4, pp. 2417-2421, July 2000.