Complex instabilities near codimension-2 bifurcation and torus breakdown in a ?uk converter with an inductive impedance load
详细信息 查看全文
- 作者：Fan Xie (1)
Bo Zhang (1)
Ru Yang (2)
DongYuan Qiu (1) - 关键词：?uk converter ; codimension ; 2 bifurcation ; coexisting phenomenon ; torus breakdown ; chaotic state
- 刊名：SCIENCE CHINA Information Sciences
- 出版年：2014
- 出版时间：February 2014
- 年：2014
- 卷：57
- 期：2
- 页码：1-10
- 全文大小：795 KB
- 参考文献：1. Banerjee S, Verghese G C. Nonlinear Phenomena in Power Electronics-attractors, Bifurcations, Chaos, and Nonlinear Control. New York: IEEE Press, 2001 1-41
2. Tse C K. Complex Behavior of Switching Power Converters. Boca Raton, FL: CRC, 2003 CrossRef
3. Aroudi A EI, Rodriguez E, Leyva R, et al. A design-oriented combined approach for bifurcation prediction in switchedmode power converters. IEEE Trans CircuitsII, 2010, 57: 218-22
4. Zhou Y F, Jiang X D, Chen J N. Analysis of complex intermittency in boost converter from a bifurcation control viewpoint. Sci China Ser FInf Sci, 2008, 51: 2135-149 CrossRef
5. Chen Y, Tse C K, Qiu S S, et al. Coexisting fast-scale and slow-scale instability in current-mode controlled DC/DC converter. IEEE Trans Circuits-I, 2008, 55: 3335-348 CrossRef
6. Giaouris D, Banerjee S, Imrayed O, et al. Complex interaction between tori and onset of three-frequency quasiperiodicity in current mode controoled boost converter. IEEE Trans CircuitsI, 2012, 59: 207-14 CrossRef
7. Wong S C, Wu X, Tse C K. Sustained slow-scale oscillation in higher order current-mode controlled converter IEEE Trans CircuitsII, 2008, 55: 489-93 CrossRef
8. Kavitha A, Uma G. Experimental verification of Hopf bifurcation in DC-DC Luo converter IEEE Trans Power Electr 2008, 23: 2878-883 CrossRef
9. Zhou Y F, Jiang D D, Huang J C, et al. Impedance characteristic of load in DC-DC converters and its effect on stability Chin Soc for Elec Eng, 2010, 6: 15-1
10. Zhusubaliyev Z T, Mosekilde E. Direct transition from a stable equilibrium to quasiperiodicity in non-smooth systems Phys Lett A, 2008, 372: 2237-246 CrossRef
11. Pereira T, Baptista M S, Reyes M B, et al. A scenario for torus T2 destruction via a global bifurcation Chaos Soliton Fract, 2009, 39: 2198-210 CrossRef
12. Zhusubaliyev Z T, Mosekilde E, Yanochkina O O. Torus-bifurcation mechanisms in a DC/DC converter with pulsewidth-modulated control IEEE Trans Power Electr, 2011, 26: 1270-279 CrossRef
13. Aroudi A El, Olivar G, Benadero L, et al. Hopf bifurcation and chaos from torus breakdown in a PWM voltagecontrolled DC-DC boost converter. IEEE T CircuitsI, 1999, 46: 1374-382 CrossRef
14. Aroudi A El, Leyva R. Quasiperiodic route to chaos in a PWM voltage-controlled DC/DC boost converter. IEEE Trans CircuitsI, 2001, 48: 967-78 CrossRef
15. Zhusubaliyev Z T, Mosekilde E. Torus birth bifurcations in a DC/DC converter. IEEE Trans CircuitsI, 2006, 53: 1839-850 CrossRef
16. Zhusubaliyev Z T, Soukhoterin E A, Mosekilde E. Quasi-periodicity and border collision bifurcations in a DC-DC converter with pulse width modulation IEEE Trans CircuitsI, 2003, 50: 1047-057 CrossRef
17. Taborda J A, Angulo F, Olivar G. Bifurcation analysis on nonsmooth torus destruction scenario of delayed-PWM switched Buck converter Int J Bifurcat Chaos, 2009, 19: 2193-212 CrossRef
18. Giaouris D, Banerjee S, Zahawi B, et al. Stability analysis of the continuous conduction mode buck converter via Filippov’s method. IEEE Trans CircuitsI, 2008, 55: 1084-096 CrossRef
19. Giaouris D, Maity S, Banerjee S, et al. Application of Filippov method for the analysis of subharmonic instability in DC-DC converters Int J Circ Theor App, 2009, 37: 899-19 CrossRef - 作者单位：Fan Xie (1)
Bo Zhang (1)
Ru Yang (2)
DongYuan Qiu (1)
1. School of Electric Power, South China University of Technology, Guangzhou, 510640, China
2. School of Physics and Electronic Engineering, Guangzhou University, Guangzhou, 510006, China - ISSN：1869-1919
文摘
Power switching converters exhibit a wide range of nonlinear behavior, such as bifurcation and chaos. Complex instabilities near the codimension-2 bifurcation point are shown in some nonlinear higher order systems. In this study, codimension-2 bifurcation and complex instabilities in a single inner current loop controlled ?uk converter with an inductive impedance load are analyzed by studying the Floquet multipliers and switching modes of the system. The period1 orbit loses its stability by period-doubling and subcritical Neimark-Sacker bifurcations. The period2 orbit enters a two-loop torus orbit via border collision and Neimark-Sacker bifurcations. The dynamic behavior of the system near the codimension-2 bifurcation points is clearly studied. The mechanism of the coexisting phenomenon from the subcritical Neimark-Sacker bifurcation is explained. Finally, chaos from torus breakdown is detected in this higher order switching converter with an inductive impedance load and its phase shift characteristics to different initial conditions are investigated.