Study of intermittent bifurcations and chaos in boost PFC converters by nonlinear discrete models

Chaos, Solitons and Fractals

Volumn 23, Issue 2, 2005, Pages 431-444

  Zhang, Hao ^a   Ma, Xi kui ^a,b   Xue, Bian Ling ^a   Liu, Wei Zeng ^a  

^a XI'AN JIAOTONG UNIVERSITY   (China)

^b CHONGQING UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); COMPUTER SIMULATION; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; NUMERICAL METHODS; SWITCHING FUNCTIONS;

INTERMITTENT BIFURCATIONS; POWER FACTOR CORRECTION (PFC); SWITCHING FREQUENCY;

CHAOS THEORY;

EID: 4243110500     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2004.04.020     Document Type: Article

References (25)

1. Garcia O., et al. Single phase power factor correction: a survey. IEEE Trans. Power Electron. 18:2003;749-755.
2. Tse C.K. Circuit theory of power factor correction in switching converters. Int. J. Circ. Theor. Appl. 31:2003;157-198.
3. Redl R. Power-factor-correction in single-phase switching-mode power supplies: an overview. Int. J. Electron. 77:1994;555-582.
4. Lee K.C., et al. PFC converter using delay control. IEEE Trans. Power Electron. 15:2000;626-633.
5. Liu P, et al. Analysis of single-phase boost power factor correction converter. In: Proceedings of IEEE PEDS ' 99, vol. 9. 1999. p. 33-937.
6. Orabi M, et al. Novel developments in the study of nonlinear phenomena in PFC circuits. In: Proceedings of IEEE IECON'02, vol. 1. 2002. p. 209-15.
7. Orabi M, et al. Nonlinear dynamics and stability analyses of boost PFC circuit. In: Proceedings of IEEE Powercon'02, vol 1. 2002. p. 600-5.
8. Tse CK, et al. Bifurcation analysis of a power-factor-correction boost converter: uncovering fast-scale instability. In: Proceedings of IEEE ISCAS'03, vol. 3. 2003. p. 312-5.
9. Iu H.H.C., et al. Fast-scale instability in a PFC boost converter under average current-mode control. Int. J. Circ. Theor. Appl. 31:2003;611-624.
10. Banerjee S., et al. Minimizing Electromagnetic interference problems with chaos. IEICE Trans. Fund. Electron., Commun. Comput. Sci. E85-A:2002;1-11.
11. Deane J.H.B., Hamill D.C. Improvement of power supply EMC by chaos. Electron. Lett. 32:1996;1045.
12. di Bernardo M., Vasca F. Discrete-time maps for the analysis of bifurcations and chaos in dc/dc converters. IEEE Trans. Circ. Syst. I. 47:2000;130-143.
13. Woywode O., et al. Bifurcation and statistical analysis of DC-DC converters. IEEE Trans. Circ. Syst. I. 50:2003;1072-1080.
14. Benadero L., et al. Two-dimensional bifurcation diagrams: background pattern of fundamental DC-DC converters with PWM control. Int. J. Bifurcat. Chaos. 13:2003;427-451.
15. Alfayyoumi M., et al. Modeling and analysis of switching-mode DC-DC regulators. Int. J. Bifurcat. Chaos. 10:2000;273-390.
16. Mazumder S.K., et al. Theoretical and experimental investigation of the fast- and slow-scale instabilities of a DC-DC converter. IEEE Trans. Power Electron. 16:2001;201-216.
17. Mazumder S.K., et al. An investigation into the fast- and slow-scale instabilities of a single phase bi-directional boost converter. IEEE Trans. Power Electron. 18:2003;1063-1069.
18. Nayfeh A.H., Balachandran B. Applied nonlinear dynamics: analytical, computational, and experimental methods. 1995;Wiley, New York.
19. Parker T.S., Chua L.O. Practical numerical algorithms for chaotic systems. 1989;Springer, New York.
20. di Bernardo M., et al. Bifurcations in piecewise-smooth feedback systems. Int. J. Control. 75:2002;1243-1259.
21. Tse C.K. Complex behavior of switching power converters. 2003;CRC Press, Boca Raton.
22. di Bernardo M., et al. Local dynamical analysis of C-bifurcation in. n -dimensional piecewise dynamical systems Chaos, Solitons & Fractals. 10:1999;1881-1908.
23. Zhusubaliyev Z.T., et al. Border-collision bifurcations on a two-dimensional torus. Chaos, Solitons & Fractals. 13:2002;1889-1915.
24. Halse C., et al. C-bifurcations and period-adding in one-dimensional piecewise-smooth maps. Chaos, Solitons & Fractals. 18:2003;953-976.
25. Banerjee S., et al. Robust chaos. Phys. Rev. Lett. 80:1998;3049-3052.