DOI QR코드

DOI QR Code

Investigation of the Mechanism of Period-doubling Bifurcation in Voltage Mode Controlled Buck-Boost Converter

  • Xie, Ling-Ling (School of Electrical and Electronic Engineering, Guangxi University) ;
  • Gong, Ren-Xi (School of Electrical and Electronic Engineering, Guangxi University) ;
  • Zhuo, Hao-Ze (School of Electrical and Electronic Engineering, Guangxi University) ;
  • Wei, Jiong-Quan (School of Electrical and Electronic Engineering, Guangxi University)
  • 투고 : 2010.11.03
  • 심사 : 2011.03.03
  • 발행 : 2011.07.01

초록

An investigation of the mechanism of period-doubling bifurcation in a voltage mode controlled buck-boost converter operating in discontinuous conduction mode is conducted from the viewpoint of nonlinear dynamical systems. The discrete iterative model describing the dynamics of the close-loop is derived. Period-doubling bifurcation occurs at certain values of the feedback factor. Results from numerical simulations and experiments are provided to verify the evolution of perioddoubling bifurcation, and the results are consistent with the theoretical analysis. These results show that the buck-boost converters exhibit a wide range of nonlinear behavior, and the system exhibits a typical period-doubling bifurcation route to chaos under particular operating conditions.

키워드

참고문헌

  1. EI Aroudi, A., Rodriguez, E., Leyva, R., Alarcon E. "A Design-Oriented Combined Approach for Bifurcation Prediction in Switched-Mode Power Converters," IEEE Trans. Circuits Systems-II, vol.57, no.3, pp.218-222, March.2010 https://doi.org/10.1109/TCSII.2010.2041807
  2. Chan, W.C.Y., Tse, C.K., "Study of bifurcations in current-programmed DC/DC boost converters: from quasiperiodicity to period-doubling," IEEE Trans. Circuits Systems-I, vol.44, no.12, pp.1129-1142, Dec.1997 https://doi.org/10.1109/81.645154
  3. EI Aroudi, A., Leyva, R., "Quasi-periodic route to chaos in a PWM voltage-controlled DC-DC boost converter," IEEE Trans. Circuits Systems-I, vol.48, no.8, pp.967-978, Aug.2001. https://doi.org/10.1109/81.940187
  4. Chau-Chung Song, Yu-Kai Chen, Der-Cherng Liaw, "Periodic modeling and analysis of bifurcation dynamics for switching converters," PEDS 2009 International Conference on, vol. 2-5, Nov.2009.
  5. Kavitha, A., Uma, G., "Experimental Verification of Hopf Bifurcation in DC-DC Luo Converter," IEEE Trans. Power Electronics. vol.23, no.6, pp.2878-2883, Nov.2008 https://doi.org/10.1109/TPEL.2008.2004703
  6. Maity, S., Tirpathy, D., Bhattacharya, T.K., Banerjee, S., "Bifurcation Analysis of PWM-1 Voltage-Mode- Controlled Buck Converter Using the Exact Discrete Model," IEEE Trans. Circuits Systems-I, vol.54, no.5, pp.1120-1130, May.2007 https://doi.org/10.1109/TCSI.2007.895526
  7. Zhusubaliyev, Z.T., Soukhoterin, E.A., Mosekilde, E, "Quasi-periodicity and border-collision bifurcations in a DC-DC converter with pulsewidth modulation," IEEE Trans. Circuits and Systems-I, vol.50, no.8, pp.1047-1057, Aug. 2003 https://doi.org/10.1109/TCSI.2003.815196
  8. J. R. Wood, "Chaos: A real phenomenon in power electronics", Proc. IEEE App. Power Electron. Conf., pp. 115-124, 1989 https://doi.org/10.1109/APEC.1989.36959
  9. Robinson R C, An introduction to dynamical systems: continuous and discrete: Pearson Prentice Hall.2004.
  10. Basak, B., Parui,S., "Exploration of Bifurcation and Chaos in Buck Converter Supplied From a Rectifier," IEEE Trans. Power Electronics, vol.25, no.6, pp.1556-1564. June. 2010 https://doi.org/10.1109/TPEL.2009.2035500
  11. Mazumder, S.K., Nayfeh, A.H., Boroyevich,D., "Theoretical and experimental investigation of the fast- and slow-scale instabilities of a DC-DC converter," IEEE Trans. Power Electronics, vol.16, no.2, pp.201-216. Mar. 2001. https://doi.org/10.1109/63.911144
  12. di Bernardo, M., Vasca, F., "Discrete-time maps for the analysis of bifurcations and chaos in DC/DC converters," IEEE Trans. Circuits and Systems-I, vol.47, no.2, pp.130-143, Feb. 2000 https://doi.org/10.1109/81.828567
  13. Tse, C.K, "Flip bifurcation and chaos in the threestate boost switching regulars," IEEE Trans. Circuits Systems-I, vol.41, no.1, pp.16-23, Jan.1994 https://doi.org/10.1109/81.260215
  14. Wang Xue-Mei, Zhang Bo, Qiu Dong-Yuan, "Mechanism of period-doubling bifurcation in DCM DC-DC converter," Acta physica sinice, vol.57, no.6, pp. 2728-2736,May 2008
  15. Li, H., Tang, W.K.S., Li, Z., Halang, W.A., "A Chaotic Peak Current-Mode Boost Converter for EMI Reduction and Ripple Suppression," IEEE Trans. Circuits and Systems-II, vol.55, no.8, pp.763-767, Aug. 2008 https://doi.org/10.1109/TCSII.2008.922379

피인용 문헌

  1. Effect of Circuit Parameters on Stability of Voltage-fed Buck-Boost Converter in Discontinuous Conduction Mode vol.9, pp.4, 2014, https://doi.org/10.5370/JEET.2014.9.4.1283