Table of Contents
Conference Papers in Engineering
Volume 2013, Article ID 683421, 7 pages
http://dx.doi.org/10.1155/2013/683421
Conference Paper

Controlling Nonlinear Behavior in Current Mode Controlled Boost Converter Based on the Monodromy Matrix

Department of Electrical Engineering, Sirte University, Sirte, Libya

Received 14 April 2013; Accepted 16 May 2013

Academic Editors: M. Buamod, M. Elmusrati, and H. Koivo

This Conference Paper is based on a presentation given by Otman Imrayed at “International Conference on Electrical and Computer Engineering” held from 26 March 2013 to 28 March 2013 in Benghazi, Libya.

Copyright © 2013 Otman Imrayed 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.

Linked References

  1. S. Banerjee and G. C. Verghese, Eds., Nonlinear Phenomena in Power Electronics: Attractors, Bifurcations, Chaos, and Nonlinear Control, IEEE Press, New York, NY, USA, 2001.
  2. C. K. Tse, Complex Behavior of Switching Power Converters, CRC, Boca Raton, Fla, USA, 2003.
  3. K. Chakrabarty, G. Poddar, and S. Banerjee, “Bifurcation behavior of the buck converter,” IEEE Transactions on Power Electronics, vol. 11, no. 3, pp. 439–447, 1996. View at Publisher · View at Google Scholar · View at Scopus
  4. S. Banerjee and K. Chakrabarty, “Nonlinear modeling and bifurcations in the boost converter,” IEEE Transactions on Power Electronics, vol. 13, no. 2, pp. 252–260, 1998. View at Publisher · View at Google Scholar · View at Scopus
  5. J. H. B. Deane and D. C. Hamill, “Instability, subharmonics, and chaos in power electronic systems,” IEEE Transactions on Power Electronics, vol. 5, no. 3, pp. 260–268, 1990. View at Publisher · View at Google Scholar · View at Scopus
  6. A. El Aroudi, L. Benadero, E. Toribio, and S. Machiche, “Quasiperiodicity and chaos in the DC-DC Buck-Boost converter,” International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, vol. 10, no. 2, pp. 359–371, 2000. View at Google Scholar · View at Scopus
  7. C. K. Tse, Y. M. Lai, and H. H. C. Iu, “Hopf bifurcation and chaos in a free-running autonmous Cuk converter,” IEEE Transactions on Circuits and Systems I, vol. 47, pp. 448–457, 2000. View at Google Scholar
  8. Y. Chen, C. K. Tse, S.-C. Wong, and S.-S. Qiu, “Interaction of fast-scale and slow-scale bifurcations in current-mode controlled DC/DC converters,” International Journal of Bifurcation and Chaos, vol. 17, no. 5, pp. 1609–1622, 2007. View at Publisher · View at Google Scholar · View at Scopus
  9. Y. Chen, C. K. Tse, S.-S. Qiu, L. Lindenmuller, and W. Schwarz, “Coexisting fast-scale and slow-scale instability in current-mode controlled DC/DC converters: analysis, simulation and experimental results,” IEEE Transactions on Circuits and Systems I, vol. 55, no. 10, pp. 3335–3348, 2008. View at Publisher · View at Google Scholar · View at Scopus
  10. S. Banerjee, D. Giaouris, O. Imrayed, P. Missailidis, B. Zahawi, and V. Pickert, “Nonsmooth dynamics of electrical systems,” in Proceedings of the IEEE International Symposium of Circuits and Systems (ISCAS '11), pp. 2709–2712, Rio de Janeiro, Brazil, May 2011. View at Publisher · View at Google Scholar · View at Scopus
  11. D. Giaouris, S. Banerjee, O. Imrayed, K. Mandal, B. Zahawi, and V. Pickert, “Complex interaction between tori and onset of three-frequency quasi-periodicity in a current mode controlled boost converter,” IEEE Transactions on Circuits and Systems I, vol. 59, no. 1, pp. 207–214, 2012. View at Publisher · View at Google Scholar · View at Scopus
  12. D. Giaouris, S. Banerjee, B. Zahawi, and V. Pickert, “Stability analysis of the continuous-conduction-mode buck converter via Filippov's method,” IEEE Transactions on Circuits and Systems I, vol. 55, no. 4, pp. 1084–1096, 2008. View at Publisher · View at Google Scholar · View at Scopus
  13. D. Giaouris, S. Maity, S. Banerjee, V. Pickert, and B. Zahawi, “Application of Filippov method for the analysis of subharmonic instability in dc-dc converters,” International Journal of Circuit Theory and Applications, vol. 37, no. 8, pp. 899–919, 2009. View at Publisher · View at Google Scholar · View at Scopus
  14. D. Giaouris, S. Banerjee, B. Zahawi, and V. Pickert, “Control of fast scale bifurcations in power-factor correction converters,” IEEE Transactions on Circuits and Systems II, vol. 54, no. 9, pp. 805–809, 2007. View at Publisher · View at Google Scholar · View at Scopus
  15. D. Giaouris, A. Elbkosh, S. Banerjee, B. Zahawi, and V. Pickert, “Stability of switching circuits using complete-cycle solution matrices,” in Proceedings of the IEEE International Conference on Industrial Technology (ICIT '06), pp. 1954–1959, December 2006. View at Publisher · View at Google Scholar · View at Scopus
  16. G. Poddar, K. Chakrabarty, and S. Banerjee, “Experimental control of chaotic behavior of buck converter,” IEEE Transactions on Circuits and Systems I, vol. 42, no. 8, pp. 502–504, 1995. View at Publisher · View at Google Scholar · View at Scopus
  17. G. Poddar, K. Chakrabarty, and S. Banerjee, “Control of chaos in the boost converter,” Electronics Letters, vol. 31, no. 11, pp. 841–842, 1995. View at Publisher · View at Google Scholar · View at Scopus
  18. A. F. Filippov, Differential Equations with Discontinuous Righthand Sides, Kluwer Academic Publishers, New York, NY, USA, 1988.