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Vol: 48(62) No: 2 / June 2003 Analyze of a Chaotic Behaviour via Period-Doubling at the Current-mode Controlled Boost Converter Florin Dragan Department of Automations and Industrial Informatics, Faculty of Automation and Computers, “Politehnica” University of Timisoara, Bd. V. Parvan 2, 1900 Timisoara, Romania, phone: 0040-256-403251, e-mail: fdragan@aut.utt.ro D. Iercan Department of Automations and Industrial Informatics, Faculty of Automation and Computers, “Politehnica” University of Timisoara, Bd. V. Parvan 2, 1900 Timisoara, Romania Keywords: chaos, boost converter, bifurcations, eigenvalues, fixed points. Abstract The article analyzes the route to chaos via period-doubling in a current-mode controlled boost dc-dc converter. The analyze implied theoretical considerations and numerical examples that show the mode of chaos genesis in this type of converter by period-doubling. References [1] W. C. Y. Chan and C. K. Tse, “Study of bifurcations in current programmed dc/dc boost convertes: From quasiperiodicity to period doubling ”, IEEE Trans. Circuits Syst. I, vol. 44, p. 1129-1142, Dec. 1997. [2] S. Banerjee, P. Ranjan and C. Grebogi, “Bifurcations in two dimensional piecewise smooth maps-Theory and applications in switching Circuits”, IEEE Trans. Circuits Syst. I, vol. 47, p. 633-643, May 2000. [3] S. Banerjee and K. Chakrabarty, “Nonlinear modeling and bifurcations in the boost converter”, IEEE Trans. On Power Elect., vol 13, p. 252-260, March 1998. [4] J. H. B. Deane, Chaos in current-mode controlled boost dc-dc converter“, IEEE Trans. Circuits Syst. I, vol. 39, p. 680-683, Aug. 1992. [5] F. C. Hoppensteadt, “Analysis and Simulation of Chaotic Systems”, Springer-Verlag New York, 2000. [6] R. C. Hilborn, “Chaos and nonlinear dynamics”, Oxford University Press, 1994. |