Journal ArticleDOI
Bifurcation behavior of the buck converter
TLDR
In this paper, the dependence of the system behavior on its parameters is investigated and the bifurcation phenomena and a mapping of the parameter space have been presented, which is vital for designing practical circuits.Abstract:
The DC-DC buck power converter, a widely used chopper circuit, exhibits subharmonics and chaos if current feedback is used. This paper investigates the dependence of the system behavior on its parameters. The bifurcation phenomena and a mapping of the parameter space have been presented. This knowledge is vital for designing practical circuits.read more
Citations
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Complex Behavior of Switching Power Converters
TL;DR: In this article, the authors focus on the typical bifurcation scenarios and nonlinear behavior observed in switching power converters, expounding on their most relevant aspects from a practical viewpoint.
Journal ArticleDOI
Complex behavior in switching power converters
Chi K. Tse,M. Di Bernardo +1 more
TL;DR: This paper provides an overview of the chaotic dynamics and bifurcation scenarios observed in power converter circuits, emphasizing the salient features of the circuit operation and the modeling strategies.
Journal ArticleDOI
Bifurcations in one-dimensional piecewise smooth maps-theory and applications in switching circuits
TL;DR: In this paper, the authors present a systematic analysis of the bifurcation behavior of power electronic DC-DC converters through a normal form: the piecewise linear approximation in the neighborhood of the border.
Journal ArticleDOI
Discrete-time maps for the analysis of bifurcations and chaos in DC/DC converters
M. di Bernardo,Francesco Vasca +1 more
TL;DR: In this paper, the authors present a systematic classification of discrete-time models proposed in the literature for the analysis of nonlinear phenomena in power electronic DC/DC converters and show how these models can be applied to different operating conditions and used to analyze the converter dynamics under both voltage-mode and current-mode control.
Journal ArticleDOI
Border-collision bifurcations in the buck converter
TL;DR: In this article, a method of predicting the local bifurcation structure through the construction of a normal form is applied to many power electronic circuits as well as other piecewise smooth systems.
References
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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
TL;DR: In this article, the authors introduce differential equations and dynamical systems, including hyperbolic sets, Sympolic Dynamics, and Strange Attractors, and global bifurcations.
A Reflection on Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
J. Guckenheimer,P. J. Holmes +1 more
TL;DR: In this paper, the authors introduce differential equations and dynamical systems, including hyperbolic sets, Sympolic Dynamics, and Strange Attractors, and global bifurcations.
Journal ArticleDOI
Determining Lyapunov exponents from a time series
TL;DR: In this article, the authors present the first algorithms that allow the estimation of non-negative Lyapunov exponents from an experimental time series, which provide a qualitative and quantitative characterization of dynamical behavior.
Journal ArticleDOI
Chaos: A tutorial for engineers
T.S. Parker,Leon O. Chua +1 more
TL;DR: In this article, the authors present an in-depth introduction to chaos in dynamical systems, and present several practical techniques for recognizing and classifying chaotic behavior, such as poincare map, Lyapunov exponents, capacity, information dimension, correlation dimension, and the reconstruction of attractors from a single time series.
Journal ArticleDOI
Instability, subharmonics and chaos in power electronic systems
J.H.B. Deane,D.C. Hamill +1 more
TL;DR: In this article, the concept of chaos is applied to a variety of nonlinear power electronic circuits and the phenomena of subharmonics, quasi-periodicity, and chaos are predicted and observed.