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Bifurcations and chaos produced by the modulation signal in a PWM buck converter

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  • Miranda, Manuel
  • Alvarez, Joaquin

Abstract

We present an analysis of the complex dynamics displayed by the classical buck converter, controlled with a Pulse-Width-Modulation technique. We show the conditions to make the circuit display a sliding mode and a null steady-state error. Also, some conditions for the existence of a periodic orbit with the same period as the modulation signal are established. Finally, taking the period of the modulation signal as a bifurcation parameter, we describe a situation where the controlled circuit exhibits chaotic behavior.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:4:p:2260-2271
    DOI: 10.1016/j.chaos.2009.03.133
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    References listed on IDEAS

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    1. 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.
    2. Kousaka, Takuji & Ueta, Tetsushi & Ma, Yue & Kawakami, Hiroshi, 2006. "Control of chaos in a piecewise smooth nonlinear system," Chaos, Solitons & Fractals, Elsevier, vol. 27(4), pages 1019-1025.
    3. Angulo, Fabiola & Olivar, Gerard & Taborda, Alexander, 2008. "Continuation of periodic orbits in a ZAD-strategy controlled buck converter," Chaos, Solitons & Fractals, Elsevier, vol. 38(2), pages 348-363.
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    Cited by:

    1. Castro, Jose & Alvarez, Joaquin & Verduzco, Fernando & Palomares-Ruiz, Juan E., 2017. "Chaotic behavior of driven, second-order, piecewise linear systems," Chaos, Solitons & Fractals, Elsevier, vol. 105(C), pages 8-13.

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