Effect of Circuit Parameters on Stability of Voltage-fed Buck-Boost Converter in Discontinuous Conduction Mode

Title & Authors
Effect of Circuit Parameters on Stability of Voltage-fed Buck-Boost Converter in Discontinuous Conduction Mode
Feng, Zhao-He; Gong, Ren-Xi; Wang, Qing-Yu;

Abstract
The state transition matrix are obtained by solving state equations in terms of Laplace inverse transformation and Cayley-Hamilton theorem, and an establishment of a precise discrete-iterative mapping of the voltage-fed buck-boost converter operating in discontinuous conduction mode is made. On the basis of the mapping, the converter bifurcation diagrams and Lyapunov exponent diagrams with the input voltage, the resistance, the inductance and the capacitance as the bifurcation parameters are obtained, and the effect of the parameters on the system stability is deeply studied. The results obtained show that they have a great influence on the stability of the system, and the general trend is that the increase of either the voltage-fed coefficient, input voltage or the load resistance, or the decrease of the filtering inductance, capacitance will make the system stability become poorer, and that all the parameters have a critical value, and when they are greater or less than the values, the system will go through stable 1T orbits, stable 2T orbits, 4T orbits, 8T orbits and eventually approaches chaos.
Keywords
Buck-Boost converter;Precise discrete-iterative map;Bifurcation;Lyapunov exponent;Stability;
Language
English
Cited by
1.
Input-Constrained Current Controller for DC/DC Boost Converter,;;;;

Journal of Power Electronics, 2016. vol.16. 6, pp.2016-2023
1.
Input-Constrained Current Controller for DC/DC Boost Converter, Journal of Power Electronics, 2016, 16, 6, 2016
References
1.
A. Kavitha and G. Uma, "Experimental Verification of Hopf Bifurcation in DC-DC Luo Converter," Power Electronics, IEEE Trans, vol. 23, pp. 2878-2883, Jan.2008.

2.
C. K. Tse, S. C. Fung and M. W. Kwan, "Experimental confirmation of chaos in a current-programmed Cuk converter," Circuits and Systems I: Fundamental Theory and Applications, IEEE Trans, vol. 43, pp. 605-608, Jul.1996.

3.
C. K. Tse, "Flip bifurcation and chaos in three-state boost switching regulators," Circuits and Systems I: Fundamental Theory and Applications, IEEE Trans, vol. 41, pp. 16-23, Jan.1994.

4.
Wang Jingmei and Bi Chuang, "Effect of leakage inductance on bifurcation and chaos in the voltagefed forward converter," in Mechatronics and Automation ICMA 2009 Conference, Changchun, Aug. 2009.

5.
Boumediene Allaoua and Abdellah Laoufi, "Application of a Robust Fuzzy Sliding Mode Controller Synthesis on a Buck-Boost DC-DC Converter Power Supply for an Electric Vehicle Propulsion System," Journal of Electrical Engineering & Technology, vol. 6, pp. 67-75, Jan.2011.

6.
Xu Cuidong, K. W. E. Cheng and Z. H. Shi, "Nonlinear phenomena of the buck-boost converter analyzed by storage energy," in Power Electronics Systems and Applications PESA2009 3rd International Conference, Hong Kong, May.2009.

7.
Gong Ren-Xi, Xie Ling-Ling and Wang Kuang, "A Novel Modeling Method of Nonideal Buck-Boost Converter in DCM," in Information and Computing ICIC 2010 Third International Conference, Wuxi, Jiang Su, Jun.2010.

8.
Anbukumar Kavitha and Govindarajan Uma, "Resonant Parametric Perturbation Method to Control Chaos in Current Mode Controlled DC-DC Buck-Boost Converter," Journal of Electrical Engineering & Technology, vol. 5, pp. 171-178, Mar.2010.

9.
Zhang Bo and Qu Ying, "study on the experiment and the precise discerete model of bifurcation and chaos for buck DC/DC converter," Proeedings of the CSEE, pp. 102-106, 2003.

10.
Biswarup Basak and Sukanya Parui, "Exploration of Bifurcation and Chaos in Buck Converter Supplied From a Rectifier," Power Electronics, IEEE Trans, vol. 25, pp. 1556-1564, Jun.2010.

11.
Wang Xuemei, Zhang Bo and Qiu Dongyuan, "The Quantitative Characterization of Symbolic Series of a Boost Converter," Power Electronics, IEEE Trans, vol. 26, pp. 2101-2105, Aug.2011.

12.
Xie Ling-Ling, Gong Ren-Xi and Zhuo Hao-Ze, "Investigation of tangent bifurcation in voltage mode controlled DCM boost converters," ACTA PHYSICA SINICA, vol. 61, Mar. 2012.

13.
Lihong H, Meimei J, Guangyan S. "Chaos control for the Buck-Boost converter under current-mode control", in Third International Workshop on Advanced Computational Intelligence Suzhou, Jiangsu, Aug. 2010.

14.
Ling-Ling Xie, Ren-Xi Gong and Hao-Ze Zhuo, "Investigation of the Mechanism of Period-doubling Bifurcation in Voltage Mode Controlled Buck-Boost Converter," Journal of Electrical Engineering & Technology, vol. 6, pp. 519-526, Jul.2011.