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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Vydáno v:SIAM journal on applied dynamical systems Ročník 8; číslo 4; s. 1507 - 1522
Hlavní autoři: Colombo, Alessandro, Lamiani, Paola, Benadero, Luis, di Bernardo, Mario
Médium: Journal Article Publikace
Jazyk:angličtina
Vydáno: Philadelphia Society for Industrial and Applied Mathematics 01.01.2009
Témata:
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
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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.
AbstractList 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.
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.
Author Benadero, Luis
Colombo, Alessandro
Lamiani, Paola
di Bernardo, Mario
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Cites_doi 10.1142/S0218127497001862
10.1142/S0218127491000397
10.1142/S0218127406015015
10.1137/070703028
10.1109/63.491637
10.1016/S0167-2789(01)00349-9
10.1145/1055531.1055536
10.1016/j.physd.2008.05.002
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10.1016/0021-8928(74)90117-8
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10.1109/TCSI.2007.895526
10.1142/S0218127405014015
10.1142/S0218127400000232
10.1016/0021-8928(70)90064-X
ContentType Journal Article
Publication
Contributor Universitat Politècnica de Catalunya. CEMAD - Caracterització Elèctrica de Materials i Dispositius
Universitat Politècnica de Catalunya. Departament de Física Aplicada
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Copyright [Copyright] © 2009 Society for Industrial and Applied Mathematics
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Snippet 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...
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...
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SubjectTerms 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
Title Two-Parameter Bifurcation Analysis of the Buck Converter
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