Symbolic Analysis: A Practical Alternative Viewpoint of Border Collision

Chi K. Tse; Dong Dai

Symbolic Analysis: A Practical Alternative Viewpoint of Border Collision

Chi K. Tse
, Dong Dai

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

Abstract

In this paper, a symbolic method is proposed for analyzing the bifurcation in switching power converters. This method focuses on the cyclic operation of the system which characterizes its bifurcation behavior. The concept of block sequence is introduced, which, in conjunction with the periodicity of the system, can be used to distinguish the various types of bifurcation behavior, e.g., “smooth” period doubling and “nonsmooth” border collision. The proposed method is applied, as an illustrative example, to develop 2-dimensional bifurcation diagrams for a voltage-mode controlled buck converter

Original language	English
Title of host publication	Proceedings of International Symposium on Nonlinear Theory and Its Applications (NOLTA'2004)
Pages	67-70
Publication status	Published - Nov 2004
Externally published	Yes
Event	2004 International Symposium on Nonlinear Theory and Its Applications (NOLTA’2004) - Fukuoka, Japan Duration: 29 Nov 2004 → 3 Dec 2004

Conference

Conference	2004 International Symposium on Nonlinear Theory and Its Applications (NOLTA’2004)
Place	Japan
City	Fukuoka
Period	29/11/04 → 3/12/04

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@inproceedings{48cd64be17b943b0b3714f6a0f1a8a77,

title = "Symbolic Analysis: A Practical Alternative Viewpoint of Border Collision",

abstract = "In this paper, a symbolic method is proposed for analyzing the bifurcation in switching power converters. This method focuses on the cyclic operation of the system which characterizes its bifurcation behavior. The concept of block sequence is introduced, which, in conjunction with the periodicity of the system, can be used to distinguish the various types of bifurcation behavior, e.g., “smooth” period doubling and “nonsmooth” border collision. The proposed method is applied, as an illustrative example, to develop 2-dimensional bifurcation diagrams for a voltage-mode controlled buck converter",

author = "Tse, \{Chi K.\} and Dong Dai",

year = "2004",

month = nov,

language = "English",

pages = "67--70",

booktitle = "Proceedings of International Symposium on Nonlinear Theory and Its Applications (NOLTA'2004)",

note = "2004 International Symposium on Nonlinear Theory and Its Applications (NOLTA{\textquoteright}2004) ; Conference date: 29-11-2004 Through 03-12-2004",

}

TY - GEN

T1 - Symbolic Analysis

T2 - 2004 International Symposium on Nonlinear Theory and Its Applications (NOLTA’2004)

AU - Tse, Chi K.

AU - Dai, Dong

PY - 2004/11

Y1 - 2004/11

N2 - In this paper, a symbolic method is proposed for analyzing the bifurcation in switching power converters. This method focuses on the cyclic operation of the system which characterizes its bifurcation behavior. The concept of block sequence is introduced, which, in conjunction with the periodicity of the system, can be used to distinguish the various types of bifurcation behavior, e.g., “smooth” period doubling and “nonsmooth” border collision. The proposed method is applied, as an illustrative example, to develop 2-dimensional bifurcation diagrams for a voltage-mode controlled buck converter

AB - In this paper, a symbolic method is proposed for analyzing the bifurcation in switching power converters. This method focuses on the cyclic operation of the system which characterizes its bifurcation behavior. The concept of block sequence is introduced, which, in conjunction with the periodicity of the system, can be used to distinguish the various types of bifurcation behavior, e.g., “smooth” period doubling and “nonsmooth” border collision. The proposed method is applied, as an illustrative example, to develop 2-dimensional bifurcation diagrams for a voltage-mode controlled buck converter

M3 - RGC 32 - Refereed conference paper (with host publication)

SP - 67

EP - 70

BT - Proceedings of International Symposium on Nonlinear Theory and Its Applications (NOLTA'2004)

Y2 - 29 November 2004 through 3 December 2004

ER -

Symbolic Analysis: A Practical Alternative Viewpoint of Border Collision

Abstract

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