Bifurcation boundary conditions for current programmed PWM DC–DC converters at light loading

References

• Bryant , B and Kazimierczuk , MK . 2005 . Modeling the Closed-current Loop of PWM Boost DC–DC Converters Operating in CCM with Peak Current-mode Control . IEEE Transactions on Circuits and Systems. I, Regular Papers , 52 : 2404 – 2414 .
   Web of Science ®Google Scholar
• Chen , Y , Tse , C , Qiu , S-S , Lindenmuller , L and Schwarz , W . 2008 . Coexisting Fast-scale and Slow-scale Instability in Current-mode Controlled DC/DC Converters: Analysis, Simulation and Experimental Results . IEEE Transactions on Circuits and Systems-I: Regular Papers , 55 : 3335 – 3348 .
   Web of Science ®Google Scholar
• Erickson , RW and Maksimovic , D . 2001 . Fundamentals of Power Electronics , 2nd , Berlin, Germany : Springer .
   Google Scholar
• Fang , C-C and Abed , EH . (1998), ‘Limit Cycle Stabilization in PWM DC–DC Converters,’ in IEEE Conference on Decision and Control, Tampa, FL, 3046–3051
   Google Scholar
• Fang , C-C . 2011 . Unified Discrete-time Modeling of Buck Converter in Discontinuous Mode . IEEE Transactions on Power Electronics , 26 : 2335 – 2342 .
   Web of Science ®Google Scholar
• Fang , C-C . 1997 . “ Sampled-data Analysis and Control of DC–DC Switching Converters ” . In Ph.D. Dissertation Department of Electrical Engineering, University of Maryland, College Park. http://www.lib.umd.edu/drum/
   Google Scholar
• Fang , C-C and Abed , EH . 1999 . Sampled-data Modeling and Analysis of Closed-loop PWM DC–DC Converters . Proceedings of the IEEE ISCAS , 5 : 110 – 115 .
   Google Scholar
• Fang , C-C and Abed , EH . 2001 . Sampled-data Modeling and Analysis of Power Stages of PWM DC–DC Converters . International Journal of Electronics , 88 : 347 – 369 .
   Web of Science ®Google Scholar
• Fang , C-C and Abed , EH . 2001 . “ Saddle-node Bifurcation and Neimark Bifurcation in PWM DC- DC Converters ” . In Nonlinear Phenomena in Power Electronics: Bifurcations, Chaos, Control, and Applications , Edited by: Banerjee , S and Verghese , GC . 229 – 240 . New York : Wiley .
   Google Scholar
• Kuznetsov , YA . 1995 . Elements of Applied Bifurcation Theory , New York : Springer-Verlag .
   Google Scholar
• Ma , Y , Tse , CK , Kousaka , T and Kawakami , H . 2005 . Connecting Border Collision with Saddle- Node Bifurcation in Switched Dynamical Systems . IEEE Transactions on Circuits and Systems II: Express Briefs , 52 : 581 – 585 .
   Web of Science ®Google Scholar
• Parui , S and Banerjee , S . 2003 . Bifurcations Due to Transition from Continuous Conduction Mode to Discontinuous Conduction Mode in the Boost Converter . IEEE Transactions on on Circuits and Systems- I: Fundamental Theory and Applications , 50 : 1464 – 1469 .
   Web of Science ®Google Scholar
• Pavljasevic , S and Maksimovic , D . 1991 . Using a Discrete-time Model for Large-signal Analysis of a Current-programmed Boost Converter . Proceedings of the IEEE PESC , Cambridge, MA : 715 – 721 .
   Google Scholar
• Redl , R and Sun , J . 2009 . Ripple-based Control of Switching Regulators – an Overview . IEEE Transactions on Power Electronics , 24 : 2669 – 2680 .
   Web of Science ®Google Scholar
• Ridley , RB . 1990 . A New Continuous-time Model for Current-mode Control with Constant On-time, Constant Off-time, and Discontinuous Conduction Mode . Proceedings of the IEEE PESC , San Antonio, TX : 382 – 389 .
   Google Scholar
• Ridley , RB . 1991 . A New, Continuous-time Model for Current-mode Control . IEEE Transactions on Power Electronics , 6 : 271 – 280 .
   Web of Science ®Google Scholar
• Suntio , T . 2001 . Analysis and Modeling of Peak-current-mode Controlled Buck Converter in DICM . IEEE Transactions on Industrial Electronics , 48 : 127 – 135 .
   Web of Science ®Google Scholar
• Suntio , T . 2002 . Unified Derivation and Analysis of Duty-ratio Constraints for Peak-current-mode Control in Continuous and Discontinuous Modes . IECON , 2 : 1398 – 1403 .
   Google Scholar
• Tan , FD and Middlebrook , RD . 1995 . A Unified Model for Current-programmed Converters . IEEE Transactions on Power Electronics , 10 : 397 – 408 .
   Web of Science ®Google Scholar
• Yuan , G , Banerjee , S , Ott , E and Yorke , JA . 1998 . Border-collision Bifurcations in the Buck Con- Verter . IEEE Transactions on Circuits and Systems-I: Fundamental Theory and Applications , 45 : 707 – 716 .
   Google Scholar