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Influence of period‐doubling bifurcations in the appearance of border collisions for a ZAD‐strategy‐controlled buck converter
Author(s) -
D'Amico M. B.,
Angulo F.,
Olivar G.,
Paolini E. E.,
Moiola J. L.
Publication year - 2012
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.707
Subject(s) - bifurcation , period doubling bifurcation , control theory (sociology) , duty cycle , buck converter , chaotic , instability , mathematics , saddle node bifurcation , physics , computer science , voltage , mechanics , nonlinear system , artificial intelligence , control (management) , quantum mechanics
SUMMARY The first period‐doubling bifurcation of a dc–dc buck converter controlled by a zero‐average dynamic strategy is studied in detail. Owing to the saturation of the duty cycle, this bifurcation is followed by a border‐collision bifurcation, which is the main mechanism to introduce instability and chaos in the circuit. The multiparameter analysis presented here leads to a complete knowledge of the relatioship between these two bifurcations. The results are obtained by using a frequency‐domain approach for the study of period‐two oscillations in maps. Copyright © 2010 John Wiley & Sons, Ltd.