Reviews of research on complex behavior of power electronic circuits and systems

Diangong Jishu Xuebao/Transactions of China Electrotechnical Society

Volumn 21, Issue 12, 2006, Pages 1-12

  Ma, Xikui ^a   Li, Ming ^a   Dai, Dong ^a   Zhang, Hao ^a   Zou, Jianlong ^a  

^a XI'AN JIAOTONG UNIVERSITY   (China)

Author keywords

Bifurcation; Chaos control; Complex behavior; Power electronics circuits

Indexed keywords

BIFURCATION (MATHEMATICS); CHAOS THEORY; DC-DC CONVERTERS;

BUCK CONVERTER; CHAOS CONTROL; COMPLEX BEHAVIOR; NONLINEAR DYNAMICS; VOLTAGE FEEDBACK;

POWER ELECTRONICS;

EID: 34147218512     PISSN: 10006753     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Review

References (56)

1. Tse C K. Complex Behavior of Switching Power Converters[M]. Boca Raton: CRC Press, 2003
2. Middlebrook R D, Cuk S. A general unified approach to modeling switching-converter power stages[C]. IEEE Power Electron. Spec. Conf. Rec., 1976: 18-34
3. Hamill D C, Jefferies D J. Subharmonics and chaos in a controlled switched-mode power converter[J]. IEEE Trans. Circ. Syst. I, 1988, 35: 1059-1061
4. Tse C K, Di Bernardo M. Complex behavior in switching power converters[J]. Proceedings of IEEE, 2002, 90: 768-781
5. Luo Xiaoshu, Wang Binghong, Zou Yanli. The progress of study on study nonlinear dynamics behavior in DC/DC switching power converter[J]. Advances in Mechanics, 2003, 33(4): 471-482
6. Zhang Bo, Li Ping, Qi Qun. Method for analyzing and modeling bifurcation and chaos in DC/DC converters[J]. Proceedings of CSEE, 2002, 22(11): 81-86
7. Tse C K. Chaos from a buck switching regulator operating in discontinuous mode[J]. Int. J. Circ. Theory Appl., 1994, 22: 263-278
8. M di Bernardo, Garofalo F, Glielmo L, et al. Switchings, bifurcations and chaos in dc/dc converters[J]. IEEE Trans. Circuits Syst. I, 1998, 45(2): 133-141
9. Chan W C Y, Tse C K. Study of bifurcation in current-programmed boost dc/dc converters[J]: from quasi-periodicity to period-doubling. IEEE Trans. Circ. Syst. I, 1997, 44: 1129-1142
10. Bnarjee S, Verghese G. Nonlinear Phenomena in Power Electronics[M]. New York: IEEE Press, 2000
11. Tse C K, Lai Y M, Iu H H C. Hopf bifurcation and chaos in a free-running current-controlled Cuk switching regulator[J]. IEEE Trans. Circ. Syst. I, 2000, 47: 448-457
12. Iu H H C, Robert B. Control of chaos in a PWM current-mode H-bridge inverter using time-delayed feedback[J]. IEEE Trans. Circuits Syst. I, 2003, 50(8): 1125-1129
13. Iu H H C, Tse C K, Pjevalica V, et al. Bifurcation behavior in parallel-connected boost converters[J]. Int. J. Circ. Theory Appl., 2001, 29: 281-298
14. Orabi M, Ninomiya T. Nonlinear dynamics of power-factor-correction converter[J]. IEEE Trans. Industrial Electron., 2003, 50(6): 1116-1125
15. Brockett W R, Wood J R. Understanding power converter chaotic behavior mechanisms in protective and abnormal modes[C]. Proc. IEEE Power Con.'11, 1984, 5(4): 1-15
16. Dai Dong, Ma Xikui, Li Xiaofeng. Border collision bifurcations and chaos in a class of piecewise smooth systems with two boundaries[J]. Acta. Phys. Sin., 2003, 52(11): 2729-2736
17. Li Ming, Ma Xikui, Dai Dong, et al. Analysis of bifurcation and chaos in a class of piecewise smooth systems based on symbolic sequence[J]. Acta. Phys. Sin., 2005, 54(3): 1084-1091
18. Zhou Yufei, Qiu Shuisheng, Chen Junning. Nonlinear phenomena in hysteretic current-controlled Cuk converters[J]. Proceedings of CSEE, 2004, 24(3): 96-101
19. Zhang H, Ma X K, Xue B L, et al. Study of intermittent bifurcation and chaos in boost PFC converters by nonlinear discrete model[J]. Chaos, Solitons and Fractals, 2005, 23: 431-444
20. Liu Weizeng, Zhang Hao, Ma Xikui. Analysis of intermittent bifurcations and chaos phenomena in boost PFC converters by stroboscopic map[J]. Proceedings of CSEE, 2005, 25(1): 43-48
21. Nusse H E, York J A. Border-collision bifurcation including period two to period three for piecewise smooth system[J]. Phsica D, 1992, 57: 39-57
22. Di Bernardo M, Budd C, Champneys A. Grazings. skipping and sliding: analysis of the non-smooth dynamics of the dc/dc buck converter[J]. Nonlinearity, 1998, 11: 859-890
23. Olivar G, Fossas E, Batlle C. Bifurcations and chaos in converters. Discontinuous vector fields and singular poincare maps[J]. Nonlinearity, 2000, 13: 1095-1121
24. Mules S, di Bernardo M. Preventing multiple switchings in power electronic circuits: effects of the latch on the nonlinear dynamics of the dc/dc buck converter[J]. Int. J. Bifur. Chaos, 2000, 10(2): 431-442
25. Mazumder S K, Nayfeh A H, Boroyevich D. Theoretical and experimental investigation of the fast-and slow-scale instabilities of a dc/dc converter[J]. IEEE Trans. Power Electron., 2001, 16(2): 201-216
26. Cheng K W E, Liu M, Wu J. Chaos study and parameter-space analysis of the DC/DC buck-boost converter[J]. IEE Proc. Electr. Power Appl., 2003, 150(2): 136-138
27. Dai D, Tse C K. Symbolic analysis of bifurcation in switching power converters: a novel method for detecting border collision[C]. International Workshop on Nonlinear Circuits and Signal Processing, 2004: 519-522
28. Banerjee S, Chakrabarty K. Nonlinear modeling and bifurcations in the boost converter[J]. IEEE Trans. Circuits Syst. I, 1998, 13(2): 252-260
29. Woywode O, Weber J, Guldner H, et al. Bifurcation and statistical analysis of dc/dc converters[J]. IEEE Trans. Circuits Syst. I, 2003, 50(8): 1072-1080
30. Aroudi A E, Benadero L, Toribio E, et al. Hopf bifurcation and chaos from torus breakdown in a PWM voltage-controlled DC/DC boost converter[J]. IEEE Trans. Circuits Syst. I, 1999, 46(11): 1374-1382
31. Aroudi A E, Leyva R. Quasi-periodic route to chaos in a pwm voltage-controlled dc/dc boost converter[J]. IEEE Trans. Circuits Syst. I, 2001, 48(8): 967-978
32. Iu H H C, Tse C K. Bifurcation behaviour of parallel-connected buck converters[J]. IEEE Trans. Circuits Syst. I, 2001, 48(2): 233-240
33. Iu H H C, Tse C K. Study of low-frequency bifurcation of a parallel-connected boost converter system via averaged models[J]. IEEE Trans. Circuits Syst. I, 2003, 50(5): 679-686
34. Batchvarov J S, Valchev V C, Yudov D D. Investigation of chaos in interleaved power converters[C]. First International IEEE Symposium on Intelligent Systems, 2002: 79-83
35. Iu H H C, Tse C K, Lai Y M. Effects of interleaving on the bifurcation behavior of parallel-connected buck converters[C]. Proc. IEEE ICIT'02, 2002: 1072-1077
36. Mazumder S K, Nayfeh A H, Boroyevich D. Nonlinear analysis of parallel DC/DC converters[J]. J. Vibr. Control, 2003, 9: 775-789
37. Dranga O, Tse C K, Iu H H C. Bifurcation behavior of a power-factor-correction boost converter. Int. J. Bifur. Chaos[J]. 2003, 13(10): 3107-3114
38. Iu H H C, Zhou Y F, Tse C K. Fast scale instability in a PFC boost converter under average current-mode control. Int. J. Circ. Theor. Appl., 2003, 31(6): 611-624
39. Wong S C, Tse C K, Orabi M, et al. The method of doubling averaging: an approach for modeling power-factor-correction switching converters[J]. IEEE Trans. Circuits Syst. I, 2006, 53(2): 454-462
40. Mazumder S K, Nayfeh A H. A new approach to the stability analysis of boost power-factor-correction circuits[J]. J. Vibra. Control, 2003, 9: 749-773
41. Orabi M, Ninomiya T. Stability investigation of the cascade two-stage PFC converter[C]. INTELEC'03, 2003: 565-572
42. Ma Xikui, Liu Weizeng, Zhang Hao. Analysis of fast-scale bifurcations and chaos phenomena in boost PFC converter[J]. Proceedings of CSEE, 2005, 25(5): 61-67
43. Batlle C, Fossas E, Olivar G.. Stabilization of periodic orbits in variable structure systems. application to DC/DC power converters[C]. MAU-UPC-01/96, 1996: 1-13
44. Poddar G, Chakrabarty K, Barierjee S. Control of chaos in dc/dc converters[J]. IEEE Trans. Circuits Syst. I, 1998, 45(6): 672-676
45. Bueno R S, Marrero J L R. Control of DC/DC converters in the chaotic regime[C]. IEEE International Conference on Control Applications, 1998: 832-837
46. Batlle C, Fossas E, Olivar G. Stabilization of periodic orbits of the buck converter by time-delayed feedback[J]. Int. J. Circ. Theor. Appl., 1999, 27: 617-631
47. C K Tse, Y M Lai, M H L Chow. Control of bifurcation in current-programmed dc/dc converters: an alternative viewpoint of ramp compensation[C]. International Conference on Industrial Electronics, Control and Instrumentation, (IECON' 2000), 2000: 2413-2418
48. Jikihara T, Konaka M, Ueda Y. Controlling chaotic chattering in discontinuous switching mode of dc/dc buck converter[C]. Proc. IEEE IECON'00, 2000, 4: 2400-2406
49. Di Bernardo M. Controlling switching systems: a bifurcation approach[C]. Proc. IEEE ISCAS'00, 2000, 2: 377-380
50. Wang X F, Chen G. Letter to the editor, chaotifying a stable map via smooth small-amplitude high-frequency feedback control[C]. Int. J. Circ. Theor. Appl., 2000, 28: 305-312
51. Fang C C, Abed E H. Harmonic balance analysis and control of period doubling bifurcation in buck converters[C]. Proc. IEEE ISCAS'01, 2001, 3: 209-212
52. Fang C C, Abed E H. Robust feedback stabilization of limit cycles in PWM DC/DC converters[J]. Nonlinear Dynamics, 2002, 27: 295-309
53. Zhou Y F, Tse C K, Qiu S S, et al. Applying resonant parametric perturbation to control chaos in the buck dc/dc converter with phase shift and frequency mismatch considerations[J]. Int. J. Bifur. Chaos., 2003, 13(11): 3459-3471
54. Zou Yanli, Luo Xiaoshu, Fang Jinqing, et al. Using pulse voltage differential feedback method to control chaos in the buck converter[J]. Acta. Phys. Sin., 2003, 52(12): 2978-2984
55. Qu Ying, Zhang Bo. The precise mathematical discrete model of buck converter in DCM and its analysis for bifurcation stability[J]. Acta. Electr. Sin., 2002, 30(8): 1253-1256
56. Gao Jinfeng, Wu Zhenjun, Zhao Kun. Research on suppressing electromagnetic interference level of buck dc/dc converter by using chaotic modulation technology[J]. Transactions of China Electrotechnical Society, 2003, 18(6): 23-27