Chaos study and parameter-space analysis of the DC-DC buck-boost converter

IEE Proceedings: Electric Power Applications

Volumn 150, Issue 2, 2003, Pages 126-138

  Cheng, K W E ^a   Liu, M ^a   Wu, J ^b  

^a HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); BOUNDARY CONDITIONS; CHAOS THEORY; COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; ELECTRIC CURRENT CONTROL; ITERATIVE METHODS; MATHEMATICAL MODELS; MATRIX ALGEBRA; PARAMETER ESTIMATION;

BUCK-BOOST CONVERTER; CURRENT MODE CONTROL; DC-DC BUCK-BOOST CONVERTER; FREQUENCY-SCALING THEOREM; PARAMETER SPACE ANALYSIS;

POWER CONVERTERS;

EID: 0037345770     PISSN: 13502352     EISSN: None     Source Type: Journal    
DOI: 10.1049/ip-epa:20030228     Document Type: Article

References (20)

1. Tse, C.K.: 'Recent developments in the study of nonlinear phenomena in power electronics circuits', IEEE CAS News., March pp. 14-21, 47-48
2. Deane, J.H.B., and Hamill, D.C.: 'Instability, subharmonics, and chaos in power electronic systems', IEEE Trans. Power Electron., 1990, 5, (3), pp. 260-268
3. Ohnishi, M., and Inaba, N.: 'A singular bifurcation into instant chaos in a piecewise-linear circuit', IEEE Trans. Circuits Syst., 1994, 41, (6), pp. 433-442
4. Fossas, E., and Olivar, G.: 'Study of chaos in the buck converter', IEEE Trans. Circuits Syst., I. Fundam. Theory Appl., 1996, 43, (1), pp. 13-25
5. Yuan, G., Banerjee, S., Ott, E., and Yorke, J.A.: 'Border-collision bifurcation in the buck converter', IEEE Trans. on Circuits Syst., I. Fundam. Theory Appl., 1998, 45, (7), pp. 707-715
6. Chakrabarty, K., Poddar, G., and Banerjee, S.: 'Bifurcation behavior of the buck converter', IEEE Trans. Power Electron., 1996, 11, (3), pp. 439-447
7. Deane, J.H.B., and Hamill, D.C.: 'Analysis, simulation and experimental study of chaos in the back converter', IEEE Power electronics specialists Conference, (PESC), San Antonio, TX, USA, 11-14 June 1990, pp. 491-498
8. Hamill, D.C., Deane, J.H.B., and Jefferie, D.J.: 'Modeling of chaotic DC-DC converters by iterated nonlinear mappings', IEEE Trans. Power Electron., 1992, 7, (1), pp. 25-36
9. Deane, J.H.B.: 'Chaos in a current-mode controlled boost DC-DC converter', IEEE Trans. Circuits Syst., I. Fundam. Theory Appl., 1992, 39, (8), pp. 680-683
10. Banerjee, S., and Chakrabarty, K.: 'Nonlinear modeling and bifurcations in the boost converter', IEEE Trans. Power Electron., 1998, 13, (2), pp. 252-260
11. Chan, W.C.Y., and Tse, C.K.: 'Study of bifurcations in current-programmed DC DC boost converters: from quasi-periodicity to period-doubling, IEEE Trans. Circuits Syst., I. Fundam. Theory Appl., 1997, 44, (12), pp. 1129-1142
12. El Aroudi, A., Benadero, L., Toribio, E., and Hopf, G.O.: 'Bifurcation and chaos from torus breakdown in a PWM voltage-controlled DC-DC boost converter', IEEE Trans. Circuits Syst., I. Fundam. Theory Appl., 46, (11), pp. 1374-1382
13. Tse, C.K., and Chan, W.C.Y.: 'Instability and chaos in current-mode controlled Cuk converter'. Proceedings of IEEE Power Electronics Specialist Conference (PESC), Atlanta, GA, 18-22 June 1995, pp. 608-613
14. Tse, C.K., Lai, Y.M., and Lu, H.H.C.: 'Holf bifurcation and chaos in a hysteretic current-mode Cuk regulator', Proceedings of IEEE Power electronics specialists Conference (PESC), Fukuoka, Japan, 17-22 May 1998, pp. 1091-1097
15. Tse, C.K.: 'Chaos from a current-programmed Cuk converter', Int. J. Circuit Theory Appl., 23, (3), pp. 217-225
16. Tse, C.K., Lai, Y.M., and Lu, H.H.C.: 'Holf bifurcation and chaos in a free-running current-controlled cuk switching regulator', IEEE Trans. Circuits Syst., I. Fundam. Theory Appl., 2000, 47, (4), pp. 448-457
17. Di Bernardo, M., Garofalo, F., Glielmo, L., and Vasca, F.: 'Switchings, bifurcations, and chaos in DC/DC converters', IEEE Trans. Circuits Syst., I. Fundam. Theory Appl., 1998, 45, (2), pp. 133-141
18. Di Bernardo, M., and Vasca, F.: 'Discrete-time maps for the analysis of bifurcations and chaos in DC/DC converters', IEEE Trans. Circuits Syst., I. Fundam. Theory Appl., 2000, 47, (2), pp. 130-143
19. Kuznetsov, Y.A.: 'Elements of applied bifurcation theory', (Springer-Verlag, New York, 1998)
20. Parker, T.S., and Chua, L.O.: 'Practical numerical algorithms for chaotic systems', (Springer-Verlag, New York, 1989)