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Bifurcation diagram features of a dc–dc converter under current-mode control

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  • Ruzbehani, Mohsen
  • Zhou, Luowei
  • Wang, Mingyu

Abstract

A common tool for analysis of the systems dynamics when the system has chaotic behaviour is the bifurcation diagram. In this paper, the bifurcation diagram of an ideal model of a dc–dc converter under current-mode control is analysed. Algebraic relations that give the critical points locations and describe the pattern of the bifurcation diagram are derived. It is shown that these simple algebraic and geometrical relations are responsible for the complex pattern of the bifurcation diagrams in such circuits. More explanation about the previously observed properties and introduction of some new ones are exposited. In addition, a new three-dimensional bifurcation diagram that can give better imagination of the parameters role is introduced.

Suggested Citation

  • Ruzbehani, Mohsen & Zhou, Luowei & Wang, Mingyu, 2006. "Bifurcation diagram features of a dc–dc converter under current-mode control," Chaos, Solitons & Fractals, Elsevier, vol. 28(1), pages 205-212.
    • Handle: RePEc:eee:chsofr:v:28:y:2006:i:1:p:205-212
    DOI: 10.1016/j.chaos.2005.05.025
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    References listed on IDEAS

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    1. Cafagna, D. & Grassi, G., 2005. "Experimental study of dynamic behaviors and routes to chaos in DC–DC boost converters," Chaos, Solitons & Fractals, Elsevier, vol. 25(2), pages 499-507.
    2. Dai, Dong & Ma, Yue & Tse, Chi K. & Ma, Xikui, 2005. "Existence of horseshoe maps in current-mode controlled buck-boost dc/dc converters," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 549-556.
    3. Wang, Liqiu & Xu, Mingtian, 2005. "Property of period-doubling bifurcations," Chaos, Solitons & Fractals, Elsevier, vol. 24(2), pages 527-532.
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    Cited by:

    1. Li, Hong & Zhang, Bo & Li, Zhong & Halang, Wolfgang A. & Chen, Guanrong, 2009. "Controlling DC–DC converters by chaos-based pulse width modulation to reduce EMI," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1378-1387.
    2. Milicevic, K. & Pelin, D. & Flegar, I., 2008. "Measurement system for model verification of nonautonomous second-order nonlinear systems," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 939-948.
    3. Blackmore, Denis & Rahman, Aminur & Shah, Jigar, 2009. "Discrete dynamical modeling and analysis of the R–S flip-flop circuit," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 951-963.
    4. Miranda, Manuel & Alvarez, Joaquin, 2009. "Bifurcations and chaos produced by the modulation signal in a PWM buck converter," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2260-2271.

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