DocumentCode :
1205141
Title :
Stability analysis of nonlinear power electronic systems utilizing periodicity and introducing auxiliary state vector
Author :
Dranga, Octavian ; Buti, Balázs ; Nagy, István ; Funato, Hirohito
Author_Institution :
Dept. of Electron. & Inf. Eng., Hong Kong Polytech. Univ., Kowloon, China
Volume :
52
Issue :
1
fYear :
2005
Firstpage :
168
Lastpage :
178
Abstract :
Variable-structure piecewise-linear nonlinear dynamic feedback systems emerge frequently in power electronics. This paper is concerned with the stability analysis of these systems. Although it applies the usual well-known and widely used approach, namely, the eigenvalues of the Jacobian matrix of the Poincare´ map function belonging to a fixed point of the system to ascertain the stability, this paper offers two contributions for simplification as well that utilize the periodicity of the structure or configuration sequence and apply an alternative simpler and faster method for the determination of the Jacobian matrix. The new method works with differences of state variables rather than derivatives of the Poincare´ map function (PMF) and offers geometric interpretations for each step. The determination of the derivates of PMF is not needed. A key element is the introduction of the so-called auxiliary state vector for preserving the switching instant belonging to the periodic steady-state unchanged even after the small deviations of the system orbit around the fixed point. In addition, the application of the method is illustrated on a resonant dc-dc buck converter.
Keywords :
DC-DC power convertors; Jacobian matrices; Poincare mapping; circuit feedback; nonlinear dynamical systems; piecewise linear techniques; power electronics; power system stability; stability; variable structure systems; DC-DC power conversion; Jacobian matrix; Poincare map function; auxiliary state vector; eigenvalues; nonlinear power electronic systems; stability analysis; variable-structure piecewise-linear nonlinear dynamic feedback system; variable-structure systems; Eigenvalues and eigenfunctions; Feedback; Jacobian matrices; Nonlinear dynamical systems; Piecewise linear techniques; Power electronics; Power system stability; Resonance; Stability analysis; Steady-state;
fLanguage :
English
Journal_Title :
Circuits and Systems I: Regular Papers, IEEE Transactions on
Publisher :
ieee
ISSN :
1549-8328
Type :
jour
DOI :
10.1109/TCSI.2004.840102
Filename :
1377552
Link To Document :
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