Closed-form critical conditions of instabilities for constant on-time controlled buck converters

IEEE Transactions on Circuits and Systems I: Regular Papers

Volumn 59, Issue 12, 2012, Pages 3090-3097

  Fang, Chung Chieh ^a  

^a Advanced Analog Technology   (Taiwan)

Author keywords

Critical condition; dc dc power conversion; harmonic balance analysis; instability; modeling

Indexed keywords

ELECTRICAL ENGINEERING; ELECTRONICS ENGINEERING; MODELS; PLASMA STABILITY;

BUCK CONVERTERS; CONTROL SCHEMES; CRITICAL CONDITION; DC-DC POWER CONVERSION; DISCRETE TIME; GENERAL INSTABILITIES; HARMONIC BALANCE ANALYSIS; TIME-CONTROLLED;

DC-DC CONVERTERS;

EID: 84870575426     PISSN: 15498328     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2012.2206445     Document Type: Article

References (16)

1. R. W. Erickson and D. Maksimovic, Fundamentals of Power Electronics, 2nd ed. Berlin, Germany: Springer, 2001.
2. D. C. Hamill, J. H. B. Deane, and J. Jefferies, "Modeling of chaotic DC-DC converters by iterated nonlinear mappings, " IEEE Trans. Power Electron., vol. 7, no. 1, pp. 25-36, 1992.
3. R. B. Ridley, "A new, continuous-time model for current-mode control, " IEEE Trans. Power Electron., vol. 6, no. 2, pp. 271-280, 1991.
4. F. D. Tan and R. D. Middlebrook, "A unified model for current-programmed converters, " IEEE Trans. Power Electron., vol. 10, no. 4, pp. 397-408, 1995.
5. C.-C. Fang, "Sampled data poles, zeros, andmodeling for currentmode control, " Int. J. Circuit Theory Appl., 2011, DOI: 10. 1002/cta. 790.
6. J. Wang, J. Xu, and B. Bao, "Analysis of pulse bursting phenomenon in constant-on-time-controlled buck converter, " IEEE Trans. Ind. Electron., vol. 58, no. 12, pp. 5406-5410, Dec. 2011.
7. R. Redl and J. Sun, "Ripple-based control of switching regulators-An overview, " IEEE Trans. Power Electron., vol. 24, no. 12, pp. 2669-2680, Dec. 2009.
8. J. Li and F. C. Lee, "Newmodeling approach and equivalent circuit representation for current-mode control, " IEEE Trans. Power Electron., vol. 25, no. 5, pp. 1218-1230, 2010.
9. J. Li and F. C. Lee, "Modeling of current-mode control, " IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 57, no. 9, pp. 2552-2563, Sep. 2010.
10. F. Yu, F. Lee, and P. Mattavelli, "A small signal model for control with composite output capacitors based on describing function approach, " in Proc. IEEE ECCE, 2011, pp. 1236-1243.
11. R. Genesio and A. Tesi, "Harmonic balance methods for the analysis of chaotic dynamics in nonlinear systems, " Automatica, vol. 28, no. 3, pp. 531-548, 1992.
12. A. Tesi, E. H. Abed, R. Genesio, and H. O. Wang, "Harmonic balance analysis of period-doubling bifurcations with implications for control of nonlinear dynamics, " Automatica, vol. 32, no. 9, pp. 1255-1271, 1996. (Pubitemid 126358278)
13. C.-C. Fang, "Sampled-Data Analysis and Control ofDC-DC Switching Converters" Ph. D. Dissertation, Dept. Elect. Eng., Univ of Maryland, College Park, 1997 [Online]. Available: http://drum. lib. umd. edu
14. C.-C. Fang and E. H. Abed, "Harmonic balance analysis and control of period doubling bifurcation in buck converters, " in Proc. IEEE ISCAS, May 2001, vol. 3, pp. 209-212. (Pubitemid 32469829)
15. C.-C. Fang and E. H. Abed, "Analysis and control of period-doubling bifurcation in buck converters using harmonic balance, " Latin American Appl. Res. : Int. J., pp. 149-156, 2001, Special theme issue: Bifurcation Control: Methodologies and Applications, In Honor of the 65th Birthday of Professor Leon O. Chua. (Pubitemid 33572898)
16. C.-C. Fang, "Closed-form critical conditions of subharmonic oscillations for buck converters" [Online]. Available: http://arxiv. org/abs/1203. 5612.