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Fast‐scale bifurcation in power‐factor‐correction buck‐boost converters and effects of incompatible periodicities
Author(s) -
Zou Jianlong,
Ma Xikui,
Tse Chi K.,
Dai Dong
Publication year - 2006
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.334
Subject(s) - bifurcation , instability , converters , control theory (sociology) , bifurcation diagram , power factor , physics , power (physics) , line (geometry) , voltage , buck converter , scale (ratio) , mathematics , mechanics , computer science , geometry , nonlinear system , control (management) , quantum mechanics , artificial intelligence
In this paper, we derive the discrete‐time model for the power‐factor‐correction (PFC) buck‐boost converter in terms of a stroboscopic switching map. Fast‐scale instability is analysed through a fold diagram, which exposes the periodicity of the operation as well as the locations of the critical phase angles of the line voltage at which instability begins to occur along a half‐line cycle. The asymmetrical locations of the critical phase angles along a half‐line cycle is explained in terms of ‘under‐developed’ bifurcation. Border collision bifurcations are observed and analysed in detail. Copyright © 2006 John Wiley & Sons, Ltd.