Secondary bifurcations and high periodic orbits in voltage controlled buck converter

被引:37
作者
Di Bernardo, M [1 ]
Fossas, E
Olivar, G
Vasca, F
机构
[1] Univ Bristol, Dept Mat Engn, Bristol BS8 1TR, Avon, England
[2] Univ Bristol, Dept Mech Engn, Bristol BS8 1TR, Avon, England
[3] Univ Politecn Cataluna, Dept Matemat Aplicada Telemat, ES-08034 Barcelona, Spain
[4] Univ Salerno, Fac Ingn Benevento, Benevento, Italy
来源
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1997年 / 7卷 / 12期
关键词
D O I
10.1142/S0218127497001862
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Period doubling route to chaos has been shown to occur in the voltage controlled DC/DC buck converter, both experimentally and numerically. A chaotic attractor was found at the end of the sequence, suddenly followed by an increase of its size. In this paper new secondary bifurcations and high periodic phenomena, coexisting with the main sequence are detected and analyzed over the same range of parameters. A(synchronous)-switching and stroboscopic maps, unstable orbits, bifurcation diagrams, invariant manifolds and basins of attraction are outlined. These tools are put together to reveal the dynamical richness of this nonsmooth system.
引用
收藏
页码:2755 / 2771
页数:17
相关论文
共 28 条
[1]  
[Anonymous], 1993, CHAOS DYNAMICAL SYST
[2]   Coexisting attractors, chaotic saddles, and fractal basins in a power electronic circuit [J].
Banerjee, S .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1997, 44 (09) :847-849
[3]  
BATLLE C, 1996, P NDES 96, P339
[4]  
BATLLE C, 1996, TIME DELAY STABILISA
[5]   CONTROL OF CHAOS IN PIECEWISE-LINEAR SYSTEMS WITH SWITCHING NONLINEARITY [J].
CHAKRABARTY, K ;
BANERJEE, S .
PHYSICS LETTERS A, 1995, 200 (02) :115-120
[6]   Bifurcation behavior of the buck converter [J].
Chakrabarty, K ;
Poddar, G ;
Banerjee, S .
IEEE TRANSACTIONS ON POWER ELECTRONICS, 1996, 11 (03) :439-447
[7]  
DEANE JHB, 1990, IEEE POWER ELECTRON, P491, DOI 10.1109/PESC.1990.131228
[8]   CHAOS IN A CURRENT-MODE CONTROLLED BOOST DC-DC CONVERTER [J].
DEANE, JHB .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1992, 39 (08) :680-683
[9]   Instability, Subharmonics, and Chaos in Power Electronic Systems [J].
Deane, Jonathan H. B. ;
Hamill, David C. .
IEEE TRANSACTIONS ON POWER ELECTRONICS, 1990, 5 (03) :260-268
[10]  
diBernardo M, 1996, IEEE POWER ELECTRON, P1376, DOI 10.1109/PESC.1996.548761