Two-Parameter Bifurcation Analysis of the Buck Converter

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...

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Bibliographic Details
Published in:SIAM journal on applied dynamical systems Vol. 8; no. 4; pp. 1507 - 1522
Main Authors: Colombo, Alessandro, Lamiani, Paola, Benadero, Luis, di Bernardo, Mario
Format: Journal Article Publication
Language:English
Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2009
Subjects:
34 Ordinary differential equations
34C Qualitative theory
37 Dynamical systems and ergodic theory
37G Local and nonlocal bifurcation theory
37N Applications
Bifurcació, Teoria de la
Bifurcation theory
Bifurcations
Buck converters
Circuits
Classificació AMS
Differentiable dynamical systems
Differential equations
Dynamical systems
Dynamics
Equacions diferencials ordinàries
Física
Mathematical analysis
Mathematical models
Power converters
Sistemes dinàmics diferenciables
Àrees temàtiques de la UPC
ISSN:1536-0040, 1536-0040
Online Access:Get full text
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Summary: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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ISSN:1536-0040
1536-0040
DOI:10.1137/080741434