Codimension-two big-bang bifurcation in a ZAD-Controlled Boost DC-DC Converter

A. Amador; S. Casanova; H. A. Granada; G. Olivar; J. Hurtado

doi:10.1142/S0218127414501508

Codimension-two big-bang bifurcation in a ZAD-Controlled Boost DC-DC Converter

A. Amador
, S. Casanova
, H. A. Granada
, G. Olivar
, J. Hurtado

Universidad Nacional de Colombia
Universidad Autónoma de Occidente

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

In this paper, we study some nonlinear behaviors in a two-dimensional system defined by a Boost Converter controlled by CPWM (Centered Pulse-Width Modulation) and a ZAD (Zero Average Dynamics) strategy. The dynamics was analyzed using a discrete-time map, which consists of a sampled system at each switching cycle. The structure of the two-parametric space is characterized analytically. This allows proving the existence and stability of an infinite number of codimension-one curves that intersect at the same point in the two-parametric space. This phenomenon has been called a big-bang bifurcation.

Original language	English
Article number	1450150
Journal	International Journal of Bifurcation and Chaos
Volume	24
Issue number	12
DOIs	https://doi.org/10.1142/S0218127414501508
State	Published - 16 Dec 2014

Keywords

DC-DC converters
Nonlinear phenomena
PWM control
ZAD strategy
big-bang bifurcation

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10.1142/S0218127414501508

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title = "Codimension-two big-bang bifurcation in a ZAD-Controlled Boost DC-DC Converter",

abstract = "In this paper, we study some nonlinear behaviors in a two-dimensional system defined by a Boost Converter controlled by CPWM (Centered Pulse-Width Modulation) and a ZAD (Zero Average Dynamics) strategy. The dynamics was analyzed using a discrete-time map, which consists of a sampled system at each switching cycle. The structure of the two-parametric space is characterized analytically. This allows proving the existence and stability of an infinite number of codimension-one curves that intersect at the same point in the two-parametric space. This phenomenon has been called a big-bang bifurcation.",

keywords = "DC-DC converters, Nonlinear phenomena, PWM control, ZAD strategy, big-bang bifurcation",

author = "A. Amador and S. Casanova and Granada, \{H. A.\} and G. Olivar and J. Hurtado",

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AU - Amador, A.

AU - Casanova, S.

AU - Granada, H. A.

AU - Olivar, G.

AU - Hurtado, J.

PY - 2014/12/16

Y1 - 2014/12/16

N2 - In this paper, we study some nonlinear behaviors in a two-dimensional system defined by a Boost Converter controlled by CPWM (Centered Pulse-Width Modulation) and a ZAD (Zero Average Dynamics) strategy. The dynamics was analyzed using a discrete-time map, which consists of a sampled system at each switching cycle. The structure of the two-parametric space is characterized analytically. This allows proving the existence and stability of an infinite number of codimension-one curves that intersect at the same point in the two-parametric space. This phenomenon has been called a big-bang bifurcation.

AB - In this paper, we study some nonlinear behaviors in a two-dimensional system defined by a Boost Converter controlled by CPWM (Centered Pulse-Width Modulation) and a ZAD (Zero Average Dynamics) strategy. The dynamics was analyzed using a discrete-time map, which consists of a sampled system at each switching cycle. The structure of the two-parametric space is characterized analytically. This allows proving the existence and stability of an infinite number of codimension-one curves that intersect at the same point in the two-parametric space. This phenomenon has been called a big-bang bifurcation.

KW - DC-DC converters

KW - Nonlinear phenomena

KW - PWM control

KW - ZAD strategy

KW - big-bang bifurcation

UR - https://www.scopus.com/pages/publications/84929377979

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DO - 10.1142/S0218127414501508

M3 - Article

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SN - 0218-1274

VL - 24

JO - International Journal of Bifurcation and Chaos

JF - International Journal of Bifurcation and Chaos

IS - 12

M1 - 1450150

ER -

Codimension-two big-bang bifurcation in a ZAD-Controlled Boost DC-DC Converter

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