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Boundaries between fast‐ and slow‐scale bifurcations in parallel‐connected buck converters
Author(s) -
Huang Yuehui,
Iu Herbert H. C.,
Tse Chi K.
Publication year - 2007
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.454
Subject(s) - jacobian matrix and determinant , bifurcation , control theory (sociology) , mathematics , buck converter , converters , constant (computer programming) , scale (ratio) , mathematical analysis , topology (electrical circuits) , computer science , physics , control (management) , nonlinear system , power (physics) , quantum mechanics , artificial intelligence , combinatorics , programming language
This paper studies a system of parallel‐connected dc/dc buck converters under master–slave current sharing and proportional‐integral (PI) PWM control. Two distinct types of bifurcations can be identified. Depending on the value of the integral control time constant, the system exhibits either a slow‐scale bifurcation (Neimark–Sacker bifurcation) or a fast‐scale bifurcation (period doubling). Extensive simulations are used to capture the behaviour. Trajectories and Poincaré sections before and after these bifurcations are shown. The boundaries between these two types of bifurcations are located. In particular, the parameter spaces of the controllers for these bifurcations are totally different. A detailed analysis is performed, based on examining the Jacobian and characteristic multipliers of the describing discrete‐time map. Copyright © 2007 John Wiley & Sons, Ltd.