Prediction of HOPF bifurcation in DC-DC buck converters

Xiao Ping Yang; Hao Zhang; Xi Kui Ma

Prediction of HOPF bifurcation in DC-DC buck converters

Xiao Ping Yang
, Hao Zhang
, Xi Kui Ma

School of Electrical Engineering

Xi'an Jiaotong University

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

Abstract

This paper deals with the Hopf bifurcation phenomena in DC-DC Buck converters with proportional-integral (PI) voltage control. An averaged model is derived to describe the nonlinear dynamics of the converters. Based on the averaged model, Hopf bifurcation is identified, and the corresponding bifurcation point is predicted with the help of Routh stability criterion. Moreover, the analytical expressions for the oscillating frequency and the oscillating amplitude at the bifurcation point are given. These results are very helpful in the optimum design of the circuit parameters and the improvement of the system performance. Finally, the theoretical results are verified by the numerical simulations and circuit experiments.

Original language	English
Pages (from-to)	107-121
Number of pages	15
Journal	Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms
Volume	16
Issue number	1
State	Published - Feb 2009

Keywords

Averaged model
Dc-dc switching converter
Hopf bifurcation
Low-frequency oscillations

Cite this

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title = "Prediction of HOPF bifurcation in DC-DC buck converters",

abstract = "This paper deals with the Hopf bifurcation phenomena in DC-DC Buck converters with proportional-integral (PI) voltage control. An averaged model is derived to describe the nonlinear dynamics of the converters. Based on the averaged model, Hopf bifurcation is identified, and the corresponding bifurcation point is predicted with the help of Routh stability criterion. Moreover, the analytical expressions for the oscillating frequency and the oscillating amplitude at the bifurcation point are given. These results are very helpful in the optimum design of the circuit parameters and the improvement of the system performance. Finally, the theoretical results are verified by the numerical simulations and circuit experiments.",

keywords = "Averaged model, Dc-dc switching converter, Hopf bifurcation, Low-frequency oscillations",

author = "Yang, \{Xiao Ping\} and Hao Zhang and Ma, \{Xi Kui\}",

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language = "英语",

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journal = "Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms",

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T1 - Prediction of HOPF bifurcation in DC-DC buck converters

AU - Yang, Xiao Ping

AU - Zhang, Hao

AU - Ma, Xi Kui

PY - 2009/2

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N2 - This paper deals with the Hopf bifurcation phenomena in DC-DC Buck converters with proportional-integral (PI) voltage control. An averaged model is derived to describe the nonlinear dynamics of the converters. Based on the averaged model, Hopf bifurcation is identified, and the corresponding bifurcation point is predicted with the help of Routh stability criterion. Moreover, the analytical expressions for the oscillating frequency and the oscillating amplitude at the bifurcation point are given. These results are very helpful in the optimum design of the circuit parameters and the improvement of the system performance. Finally, the theoretical results are verified by the numerical simulations and circuit experiments.

AB - This paper deals with the Hopf bifurcation phenomena in DC-DC Buck converters with proportional-integral (PI) voltage control. An averaged model is derived to describe the nonlinear dynamics of the converters. Based on the averaged model, Hopf bifurcation is identified, and the corresponding bifurcation point is predicted with the help of Routh stability criterion. Moreover, the analytical expressions for the oscillating frequency and the oscillating amplitude at the bifurcation point are given. These results are very helpful in the optimum design of the circuit parameters and the improvement of the system performance. Finally, the theoretical results are verified by the numerical simulations and circuit experiments.

KW - Averaged model

KW - Dc-dc switching converter

KW - Hopf bifurcation

KW - Low-frequency oscillations

UR - https://www.scopus.com/pages/publications/70449725551

M3 - 文章

AN - SCOPUS:70449725551

SN - 1492-8760

VL - 16

SP - 107

EP - 121

JO - Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms

JF - Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms

IS - 1

ER -

Prediction of HOPF bifurcation in DC-DC buck converters

Abstract

Keywords

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