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Mathematical Problems in Engineering
Volume 2013, Article ID 907868, 9 pages
http://dx.doi.org/10.1155/2013/907868
Research Article

Study on Nonlinear Phenomena in Buck-Boost Converter with Switched-Inductor Structure

School of Electrical Engineering and Automation, Harbin Institute of Technology, Harbin 150001, China

Received 8 May 2013; Accepted 1 October 2013

Academic Editor: Moez Feki

Copyright © 2013 Hongchen Liu and Shuang Yang. 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. B. Axelrod, Y. Berkovich, and A. Ioinovici, “Switched-capacitor/switched-inductor structures for getting transformerless hybrid DC-DC PWM converters,” IEEE Transactions on Circuits and Systems I, vol. 55, no. 2, pp. 687–696, 2008. View at Publisher · View at Google Scholar · View at Scopus
  2. B. Axelrod, Y. Berkovich, and A. Ioinovici, “Switched-capacitor scyswitchedinductor (SL) structures for getting hybrid step-down Ćuk/Sepic/Zeta converters,” in Proceedings of the IEEE International Symposium on Circuits and Systems (ISCAS '06), pp. 5063–5066, May 2006. View at Scopus
  3. C. K. Tse and M. Di Bernardo, “Complex behavior in switching power converters,” Proceedings of the IEEE, vol. 90, no. 5, pp. 768–781, 2002. View at Publisher · View at Google Scholar · View at Scopus
  4. A. El Aroudi and R. Leyva, “Quasi-periodic route to chaos in a PWM voltage-controlled dc-dc boost converter,” IEEE Transactions on Circuits and Systems I, vol. 48, no. 8, pp. 967–978, 2001. View at Publisher · View at Google Scholar · View at Scopus
  5. S. K. Mazumder, A. H. Nayfeh, and D. Boroyevich, “Theoretical and experimental investigation of the fast- and slow-scale instabilities of a DC-DC converter,” IEEE Transactions on Power Electronics, vol. 16, no. 2, pp. 201–216, 2001. View at Publisher · View at Google Scholar · View at Scopus
  6. M. Debbat, A. El Aroudi, R. Giral, and L. Martínez-Salamero, “Hopf bifurcation in PWM controlled asymmetrical interleaved dual boost DC-DC converter,” in Proceedings of the IEEE International Conference on Industrial Technology, vol. 2, no. 2, pp. 860–865, December 2003. View at Scopus
  7. D. Dai, C. K. Tse, and X. Ma, “Symbolic analysis of switching systems: application to bifurcation analysis of DC/DC switching converters,” IEEE Transactions on Circuits and Systems I, vol. 52, no. 8, pp. 1632–1643, 2005. View at Publisher · View at Google Scholar · View at Scopus
  8. H. H. C. Iu and C. K. Tse, “A study of synchronization in chaotic autonomous ćuk dc/dc converters,” IEEE Transactions on Circuits and Systems I, vol. 47, no. 6, pp. 913–918, 2000. View at Publisher · View at Google Scholar · View at Scopus
  9. C. K. Tse, Y. M. Lai, and H. H. C. Lu, “Hopf bifurcation and chaos in a free-running current-controlled Cuk switching regulator,” IEEE Transactions on Circuits and Systems I, vol. 47, no. 4, pp. 448–457, 2000. View at Publisher · View at Google Scholar · View at Scopus
  10. A. Kavitha and G. Uma, “Control of chaos in SEPIC DC-DC converter,” International Journal of Control, Automation and Systems, vol. 8, no. 6, pp. 1320–1329, 2010. View at Publisher · View at Google Scholar · View at Scopus
  11. Y. Ma, C. K. Tse, T. Kousaka, and H. Kawakami, “Connecting border collision with saddle-node bifurcation in switched dynamical systems,” IEEE Transactions on Circuits and Systems II, vol. 52, no. 9, pp. 581–585, 2005. View at Publisher · View at Google Scholar · View at Scopus
  12. A. M. Harb, I. Batarseh, L. M. Mili, and M. A. Zohdy, “Bifurcation and chaos theory in electrical power systems: analysis and control,” Mathematical Problems in Engineering, vol. 2012, Article ID 573910, 2 pages, 2012. View at Publisher · View at Google Scholar
  13. A. El Aroudi, E. Rodríguez, R. Leyva, and E. Alarcón, “A design-oriented combined approach for bifurcation prediction in switched-mode power converters,” IEEE Transactions on Circuits and Systems II, vol. 57, no. 3, pp. 218–222, 2010. View at Publisher · View at Google Scholar · View at Scopus
  14. B. Basak and S. Parui, “Exploration of bifurcation and chaos in buck converter supplied from a rectifier,” IEEE Transactions on Power Electronics, vol. 25, no. 6, pp. 1556–1564, 2010. View at Publisher · View at Google Scholar · View at Scopus
  15. J. Wu, M. Liu, and P. Yang, “Study of bifurcation and chaos in the current-mode controlled Buck-Boost DC-DC converter (I)—modeling and simulation,” Control Theory and Applications, vol. 19, no. 3, pp. 387–394, 2002. View at Google Scholar · View at Scopus
  16. J. Wu, M. Liu, and P. Yang, “Study of bifurcation and chaos in the current-mode controlled Buck-Boost DC-DC converter (II)—numerical analysis and experiment,” Control Theory and Applications, vol. 19, no. 3, pp. 395–401, 2002. View at Google Scholar · View at Scopus
  17. B. Bao, J. Xu, and Z. Liu, “Mode shift and stability control of a current mode controlled buck-boost converter operating in discontinuous conduction mode with ramp compensation,” Chinese Physics B, vol. 18, no. 11, pp. 4742–4747, 2009. View at Publisher · View at Google Scholar · View at Scopus
  18. M. D. Bernardo and F. Vasca, “Discrete-time maps for the analysis of bifurcations and chaos in DC/DC converters,” IEEE Transactions on Circuits and Systems I, vol. 47, no. 2, pp. 130–143, 2000. View at Publisher · View at Google Scholar · View at Scopus
  19. 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
  20. C. K. Tse, “Flip bifurcation and chaos in three-state boost switching regulators,” IEEE Transactions on Circuits and Systems I, vol. 41, no. 1, pp. 16–23, 1994. View at Publisher · View at Google Scholar · View at Scopus