NDLI: Bifurcation Analysis of PWM-1 Voltage-Mode-Controlled Buck Converter Using the Exact Discrete Model

Content Provider	IEEE Xplore Digital Library
Author	Maity, S. Tripathy, D. Bhattacharya, T.K. Banerjee, S.
Copyright Year	2004
Abstract	Nonlinear phenomena in power electronic circuits are generally studied through discrete-time maps. However, there exist very few circuit configurations (like, for example, the current-mode-controlled dc-dc converters or current programmed H-bridge inverter) for which the map can be obtained in closed form. In this paper, we show that, in a voltage-mode-controlled dc-dc converter, if the switching is governed by pulse-width modulation of the first kind (PWM-1), an explicit form of the stroboscopic map can be obtained. The resulting discrete-time state space is piecewise smooth, divided into five regions, each with a different functional form. We then analyze the bifurcation behavior using the explicit map and demonstrate the different types of border collision bifurcations that may occur in this system as a fixed point moves from one region to another. This includes the very interesting case of a direct transition from periodicity to quasi-periodicity through the route of border collision bifurcation. Mode-locking periodic windows are also obtained at certain ranges of the parameters. The two-parameter bifurcation diagram is presented, showing the domains of existence of different oscillatory modes in the system parameter plane
Sponsorship	IEEE Circuits and Systems Society
Starting Page	1120
Ending Page	1130
Page Count	11
File Size	1270372
File Format	PDF
ISSN	15498328
Volume Number	54
Issue Number	5
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-05-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Bifurcation Pulse width modulation Pulse width modulation converters Voltage Buck converters Circuits DC-DC power converters Power electronics Pulse width modulation inverters Switching converters quasi- periodicity border collision bifurcation dc–dc converter pulsewidth modulation of first kind (PWM-1)
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering Hardware and Architecture

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