Publisher : The Korean Institute of Electrical Engineers
DOI : 10.5370/JEET.2011.6.4.519
Title & Authors
Investigation of the Mechanism of Period-doubling Bifurcation in Voltage Mode Controlled Buck-Boost Converter Xie, Ling-Ling; Gong, Ren-Xi; Zhuo, Hao-Ze; Wei, Jiong-Quan;
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.
Effect of Circuit Parameters on Stability of Voltage-fed Buck-Boost Converter in Discontinuous Conduction Mode, Journal of Electrical Engineering and Technology, 2014, 9, 4, 1283
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
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
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.
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.
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
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
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
J. R. Wood, "Chaos: A real phenomenon in power electronics", Proc. IEEE App. Power Electron. Conf., pp. 115-124, 1989
Robinson R C, An introduction to dynamical systems: continuous and discrete: Pearson Prentice Hall.2004.
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
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.
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
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
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
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