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Continuation of periodic orbits in a ZAD-strategy controlled buck converter

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  • Angulo, Fabiola
  • Olivar, Gerard
  • Taborda, Alexander

Abstract

This paper concerns the dynamics of a Zero Average Dynamics (ZAD) controlled DC–DC Buck converter. We study the continuation problem of periodic orbits in a periodically forced piecewise-smooth system through the ranges of existence and stability. These orbits can have different configuration and periodicity, and they end in a transition to chaotic bands when a parameter is varied. Three assumptions (a symmetry assumption, a zero-average assumption and a regulation assumption) allows existence ranges to be predicted analytically, and there is only a final efficient numerical step. Stability is checked through Floquet exponents, which are also analytically computed.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:38:y:2008:i:2:p:348-363
    DOI: 10.1016/j.chaos.2007.04.023
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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. 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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