Two-Parameter Bifurcation Analysis of the Buck Converter

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2009 Italy, Spain, Spain, United Kingdom English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Applied Dynamical Systems, volume 8, pages 1,507-1,522 (eissn: 1536-0040,

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Authors: Alessandro Colombo; Paola Lamiani; Luis Benadero; Mario di Bernardo;

doi: 10.1137/080741434

handle: 2117/6260 , 11588/418668 , 11311/578334 , 1983/7adae0d5-492e-4b23-a2d8-4e7c475efba9

Two-Parameter Bifurcation Analysis of the Buck Converter

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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.

Countries

Italy, Spain, Spain, United Kingdom

Related Organizations

Universitat Polite`cnica de Catalunya
Spain
Polytechnic University of Milan
Italy
University Federico II of Naples
Italy
Universitat Politècnica de Catalunya
Spain
University of Bristol
United Kingdom

Keywords

Differential equations, name=Engineering Mathematics Research Group, Teoria de la, Classificació AMS::37 Dynamical systems and ergodic theory::37G Local and nonlocal bifurcation theory, Bifurcació, Teoria de la, :Física [Àrees temàtiques de la UPC], :34 Ordinary differential equations::34C Qualitative theory [Classificació AMS], Classificació AMS::34 Ordinary differential equations::34C Qualitative theory, Àrees temàtiques de la UPC::Física, :37 Dynamical systems and ergodic theory::37G Local and nonlocal bifurcation theory [Classificació AMS], Bifurcació, Sistemes dinàmics diferenciables, /dk/atira/pure/core/keywords/engineering_mathematics_research_group, 510, Classificació AMS::37 Dynamical systems and ergodic theory::37N Applications, Differentiable dynamical systems, Bifurcation theory, Equacions diferencials ordinàries, :37 Dynamical systems and ergodic theory::37N Applications [Classificació AMS]

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