`Mathematical Problems in EngineeringVolume 2010, Article ID 976930, 24 pageshttp://dx.doi.org/10.1155/2010/976930`
Research Article

## A Perturbative Method for Calculating the Impedance of Coils on Laminated Ferromagnetic Cores

Program of Postgraduates and Research in Electrical Engineering, Instituto Tecnológico de Morelia, Avenida Tecnológico 1500 Col. Lomas de Santiaguito, 58120 Morelia, MICH, Mexico

Received 24 February 2010; Revised 11 August 2010; Accepted 6 September 2010

Copyright © 2010 Serguei Maximov et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

1. D. J. Wilcox, M. Conlon, and W. G. Hurley, “Calculation of self and mutual impedances for coils on ferromagnetic cores,” IEE Proceedings A, vol. 135, no. 7, pp. 470–476, 1988.
2. J. Avila-Rosales and F. L. Alvarado, “Nonlinear frequency dependent transformer model for electromagnetic transient studies in power systems,” IEEE Transactions on Power Apparatus and Systems, vol. 101, no. 11, pp. 4281–4288, 1982.
3. D. J. Wilcox, W. G. Hurley, and M. Conlon, “Calculation of self and mutual impedances between sections of transformer windings,” IEE Proceedings C, vol. 136, no. 5, pp. 308–314, 1989.
4. H. Akçay and D. G. Ece, “Modeling of hysteresis and power losses in transformer laminations,” IEEE Transactions on Power Delivery, vol. 18, no. 2, pp. 487–492, 2003.
5. S. Maximov and V. H. Coria, Métodos analíticos en el cálculo de impedancias de transformadores con diferentes núcleos, M.S. thesis, Programa de Graduados en Investigación en Ingeniería Eléctrica, México, Mexico, 2008.
6. J. H. Harlow, Electric Power Transformer Engineering, IEEE, CRC Press LLC, Boca Raton, Fla, USA, 2004.
7. L. L. Grigsby, Electric Power Engineering Handbook, IEEE, CRC Press LLC, Boca Raton, Fla, USA, 1998.
8. M. Reed and B. Saĭmon, Methods of Modern Mathematical Physics, Academic Press, San Diego, Calif, USA, 1978.
9. J. Mathews and R. L. Walker, Mathematical Methods of Physics, Addison-Wesley, Redwood City, Calif, USA, 2nd edition, 1969.
10. V. S. Vladimirov, Generalized Functions in Mathematical Physics, Mir, Moscow, Russia, 1979.
11. L. I. Schiff, Quantum Mechanics, McGraw-Hill, New York, NY, USA, 2nd edition, 1965.
12. L. D. Landau, M. D. Lifshitz, and L. P. Pitaevskii, Electrodynamics of Continuos Media, U.S.S.R. Academy of Sciences, Moscow, Russia, 2nd edition, 1984.
13. L. C. Andrews, Special Functions for Engineers and Applied Mathematicians, Macmillan, New York, NY, USA, 1985.