Fast-scale bifurcation in power-factor-correction buck-boost converters and effects of incompatible periodicities

International Journal of Circuit Theory and Applications

Volumn 34, Issue 3, 2006, Pages 251-264

  Zou, Jianlong ^a   Ma, Xikui ^a   Tse, Chi K ^b   Dai, Dong ^a  

^a XI'AN JIAOTONG UNIVERSITY   (China)

^b HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

Author keywords

Bifurcation; Border collision; Buck boost converter; Fast scale instability; Power factor correction

Indexed keywords

DISCRETE TIME CONTROL SYSTEMS; PHASE MEASUREMENT; STROBOSCOPES;

BIFURCATION; BORDER COLLISION; BUCK-BOOST CONVERTER; FAST-SCALE INSTABILITY; POWER FACTOR CORRECTION (PFC);

BIFURCATION (MATHEMATICS);

EID: 33744803736     PISSN: 00989886     EISSN: 1097007X     Source Type: Journal    
DOI: 10.1002/cta.334     Document Type: Article

References (14)

1. Dranga O, Tse CK, Iu HHC, Nagy I. Bifurcation behavior in power-factor-correction boost converters. International Journal of Bifurcation and Chaos 2003; 13(10):3107-3114.
2. Iu HHC, Zhou Y, Tse CK. Fast-scale instability in a PFC boost converter under average current mode control. International Journal of Circuit Theory and Applications 2003; 31(10):611-624.
3. Zhang H, Ma X, Xue B, Liu W. Study of intermittent bifurcations and chaos in boost PFC converters by nonlinear discrete models. Chaos, Solitons and Fractals 2005; 23(2):431-444.
4. Orabi M, Nimomiya T. Nonlinear dynamics of power-factor-correction converter. IEEE Transactions on Industrial Electronics 2003; 50(6):1116-1125.
5. Wong SC, Tse CK, Orabi M, Ninomiya T. Method of double averaging for modeling PFC switching converters. IEEE Power Electron. Specialists Conf. Record 2004; 3203-3208.
6. Tse CK, Circuit theory of power factor correction in switching converters. International Journal of Circuit Theory and Applications 2003; 31(2):157-198.
7. Tse CK. Complex Behavior of Switching Power Converters. CRC Press: Boca Raton, 2003.
8. Banerjee S, Verghese GC (eds). Nonlinear Phenomena in Power Electronics. IEEE Press: New York, 2001.
9. Yuan G, Banerjee S, Ott E, Yorke JA. Border-collision bifurcations in the buck converter. IEEE Transactions on Circuits and Systems, Part I 1998; 45(7):707-716.
10. Banerjee S, Ranjan P, Grebogi C. Bifurcations in two-dimensional piecewise smooth maps: theory and applications in switching circuits. IEEE Transactions on Circuits and Systems, Part I 2000; 47(5):635-643.
11. Di Bernardo M, Budd CJ, Champneys AR. Corner collision implies border collision. Physica D 2001; 154: 171-194.
12. Dai D, Ma X, Li X. Border collision bifurcations and chaos in a class of piecewise smooth systems with two boundaries. ACT A Physica Sinica 2003; 52(11):2729-2736.
13. Nusse HE, Ott E, Yorke JA. Border-collision bifurcations including 'period two to period three' for piecewise smooth systems. Physica D 1992; 59(11):39-57.
14. Tse CK, Dai D. Symbolic analysis: a practical alternative viewpoint of border collision. Proceedings of the Nonlinear Theory and Its Applications 2004; 1:67-70.