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

Fabiola Angulo, Gerard Olivar and Alexander Taborda

Chaos, Solitons & Fractals, 2008, vol. 38, issue 2, 348-363

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.

Date: 2008
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:38:y:2008:i:2:p:348-363

DOI: 10.1016/j.chaos.2007.04.023

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