A representative discrete-time model for uncovering slow and fast scale instabilities in boost power factor correction ac-dc pre-regulators

International Journal of Bifurcation and Chaos

Volumn 18, Issue 10, 2008, Pages 3073-3092

  El Aroudi, Abdelali ^a,b   Orabi, Mohamed ^a   Martinez Salamero, Luis ^a,b  

^a UNIVERSITAT ROVIRA I VIRGILI   (Spain)

^b SOUTH VALLEY UNIVERSITY   (Egypt)

Author keywords

AC DC boost pre regulators; Bifurcations; Discrete time model; PFC applications; Stability analysis; Torus doubling

Indexed keywords

BIFURCATION (MATHEMATICS); DYNAMICAL SYSTEMS; RECTIFYING CIRCUITS;

AC-DC BOOST PRE-REGULATORS; DISCRETE-TIME MODEL; PFC APPLICATIONS; STABILITY ANALYSIS; TORUS DOUBLING;

ELECTRIC POWER FACTOR CORRECTION;

EID: 59049100643     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127408022251     Document Type: Article

References (23)

1. Benadero, L. et al. [2003] "Two dimensional bifurcation diagrams. Background pattern of fundamental DC-DC converters with PWM control," Int. J. Bifurcation and Chaos 13, 427-451.
2. di Bernardo, M. & Vasca, F. [2000] "Discrete-time maps for the analysis of bifurcations and chaos in DC/DC converters," IEEE Trans. Circuits Syst.-I 47, 130-143.
3. Dixon, L. H. [1988] "High power factor preregulator for off-line power supplies," Unitrode Power Supply Design Seminar Manual SZM.600, 1988.
4. Dixon, L. H. [1997] "UC3854 controlled power factor correction circuit design," Unitrode Application Note, U-134, 1997, pp. 3-269-3-288.
5. El Aroudi, A., Benadero, L., Toribio, E. & Machiche S., [2000] "Quasiperiodicity and chaos in the DC-DC buck-boost converter," Int. J. Bifurcation and Chaos 10, 359-371.
6. El Aroudi, A. et al. [2001] "Quasi-periodic route to chaos in a PWM voltage controlled DC-DC boost converter," IEEE Trans. Circuits Syst.-I 48, 967-978.
7. El Aroudi, A., Orabi, M., Martínez-Salamero, L. & Ninomiya, T. [2005a] "Investigating stability and bifurcations of a boost PFC circuit under peak current control," Proc. 2005 Int. Symp. Circuits and Systems, ISCAS'05, 2005.
8. El Aroudi et al. [2005b] "Bifurcations in DC-DC switching converters: Review of methods and applications," Int. J. Bifurcation and Chaos 15, 1549-1578.
9. Huliehel, F. A. et al. [1992] "Small-signal modeling of the single-phase boost high power factor converter with constant frequency control," in IEEE PESC'92, pp. 475-482.
10. Iu, H. H. C., Zhou, Y. & Tse, C. K. [2003] "Fast-scale instability in a boost PFC converter under average current control," Int. J. Circuits Th. Appl. 31, 611-624.
11. Mazumder, S. K., Alfayyoumi, M., Nayfeh, A. H. & Borojevic, D. [2001] "A novel approach to the stability analysis of boost power-factor- correction circuits," IEEE Power Electron. Specialists Conf. PESC'01, British Columbia, Canada, pp. 1719-1724.
12. Mazumder, S. K., Alfayyoumi, M. & Nayfeh A. H. [2003] "An investigation into fast- and slow-scale instabilities of a single phase bidirectional boost converter," IEEE Trans. Power Electron. 18, 1063-1069.
13. Nayfeh, A. H. & Balachandran, B. [1995] Applied Nonlinear Dynamics, 2nd edn. (John Wiley).
14. Orabi, M. & Ninomiya, T. [2003] "Non-linear dynamics of power-factor-correction converter," IEEE Trans. Industr. Electron. 6, 1116-1125.
15. Orabi, M. & Ninomiya, N. [2004a] "Step-one in preregulator boost PFC converter design," J. Power Electron. 4, 18-27.
16. Orabi, M. & Ninomiya, N. [2004b] "Numerical and experimental study of instability and bifurcation in AC/DC PFC circuit," IEICE Trans. Commun. E87-A, 2256-2266.
17. Orabi, M. & El Aroudi, A. [2006] "Different frequency instabilities of averaged current controlled boost PFC AC-DC regulators," IEEE Int. Telecoramun. Energy Conf. INTELEC 2006, Rhode Island, USA.
18. Ridley, R. [1989] "Average small-signal analysis of the boost power factor correction circuit," VPEC Seminar Proc., pp. 108-120.
19. Rugh, W. J. [1996] Linear System Theory (Prentice Hall, NJ).
20. Sekikawa, M., Miyoshi, T. & Inaba, N. [2001] "Successive torus doubling," IEEE Trans. Circuits Syst.-I 48, 28-34.
21. Toribio, E. et al. [2000] "Experimental and numerical study of the region of period-one operation of a PWM DC-DC boost converter," Trans. Power Electron. 15, 1163-1171.
22. Tse, C. K., Dranga, O. & Iu, H. C. C. [2003] "Bifurcation analysis of a power-factor-correction boost converter: Uncovering fast-scale instability," Proc. 2003 Int. Symp. Circuits and Systems 3, III-312-III-315.
23. Verghese, G. C., Elbuluk, M. E. & Kasakian, J. G. [1986] "A general approach to sampled-data modeling for power electronic circuits," Trans. Power Electron. 1, 76-89.