Two-parameter bifurcation analysis of the buck converter

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dc.contributor	Universitat Politècnica de Catalunya. Departament de Física Aplicada
dc.contributor	Universitat Politècnica de Catalunya. CEMAD - Caracterització Elèctrica de Materials i Dispositius
dc.contributor.author	Colombo, Alessandro
dc.contributor.author	Lamiani, Paola
dc.contributor.author	Benadero García-Morato, Luis
dc.contributor.author	Bernardo, Mario di
dc.date	2009-11-05
dc.identifier.citation	Colombo, A. [et al.]. Two-parameter bifurcation analysis of the buck converter. "SIAM journal on applied dynamical systems", 05 Novembre 2009, vol. 8, núm. 4, p. 1507-1522.
dc.identifier.citation	1536-0040
dc.identifier.citation	10.1137/080741434
dc.identifier.uri	http://hdl.handle.net/2117/6260
dc.language.iso	eng
dc.relation	http://dx.doi.org/10.1137/080741434
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject	Àrees temàtiques de la UPC::Física
dc.subject	Differentiable dynamical systems
dc.subject	Differential equations
dc.subject	Bifurcation theory
dc.subject	Sistemes dinàmics diferenciables
dc.subject	Equacions diferencials ordinàries
dc.subject	Bifurcació, Teoria de la
dc.subject	Classificació AMS::37 Dynamical systems and ergodic theory::37N Applications
dc.subject	Classificació AMS::34 Ordinary differential equations::34C Qualitative theory
dc.subject	Classificació AMS::37 Dynamical systems and ergodic theory::37G Local and nonlocal bifurcation theory
dc.title	Two-parameter bifurcation analysis of the buck converter
dc.type	info:eu-repo/semantics/publishedVersion
dc.type	info:eu-repo/semantics/article
dc.description.abstract	This paper is concerned with the analysis of two-parameter bifurcation phenomena in the buck power converter. It is shown that the complex dynamics of the converter can be unfolded by considering higher codimension bifurcation points in two-parameter space. Specifically, standard smooth bifurcations are shown to merge with discontinuity-induced bifurcation (DIB) curves, giving rise to intricate bifurcation scenarios. The analytical results are compared with those obtained numerically, showing excellent agreement between the analytical predictions and the numerical observations. The existence of these two-parameter bifurcation phenomena involving DIBs and smooth bifurcations, predicted in [P. Kowalczyk et al., Internat. J. Bifur. Chaos Appl. Sci. Engrg., 16 (2006), pp. 601–629; A. Colombo and F. Dercole, SIAM J. Appl. Dyn. Syst., submitted], is confirmed in this important class of systems.

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