Study of bifurcations in current-programmed DC/DC boost converters: From quasi-periodicity to period-doubling

被引:163
作者
Chan, WCY [1 ]
Tse, CK [1 ]
机构
[1] Hong Kong Polytech Univ, Dept Elect Engn, Hong Kong, Hong Kong
来源
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS | 1997年 / 44卷 / 12期
关键词
bifurcation chaos; boost converter; current-programmed control;
D O I
10.1109/81.645154
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
This paper studies the bifurcation paths exhibited by a simple second-order dc/dc boost converter under current-programmed control with and without voltage feedback. Previous work in this area has reported two distinct types of bifurcation paths, namely via regions of quasi-periodic orbits and period doubling. This paper demonstrates that the two different types of bifurcation paths can, in fact, be viewed as part of another bifurcation in which the quasi-periodic sequence transmutes into the period-doubling sequence, and that such a bifurcation is observed regardless of the presence of the outer voltage feedback loop as long as a suitable set of bifurcation parameters is chosen. The describing iterative map is derived in closed form and is used to develop the main results via a series of computer experiments. The characteristic multipliers are calculated and the first onset of flip-bifurcation is predicted. Computer simulation based on an exact piecewise switched model confirms the predicted bifurcations. The exhibition of quasi-periodic orbits is confirmed by computation of the Lyapunov exponent. Finally, a series of return maps are generated to provide an alternative viewpoint to the reported bifurcations in terms of a transmutation from a tent-like map to a logistic-like map.
引用
收藏
页码:1129 / 1142
页数:14
相关论文
共 22 条
[1]  
[Anonymous], 2012, Practical numerical algorithms for chaotic systems
[2]  
[Anonymous], 1992, Chaos and Fractals
[3]  
Capel A., 1978, IEEE POW EL SPEC C R, P135
[4]  
Chan W. C. Y., 1996, P INT S NONL THEOR I, P121
[5]  
Chan WCY, 1996, IEEE POWER ELECTRON, P789, DOI 10.1109/PESC.1996.548671
[6]  
CHAN WCY, IN PRESS INT J CIRCU
[7]   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
[8]   CHAOTIC BEHAVIOR IN CURRENT-MODE CONTROLLED DC-DC CONVERTER [J].
DEANE, JHB ;
HAMILL, DC .
ELECTRONICS LETTERS, 1991, 27 (13) :1172-1173
[9]  
HAMILL DC, 1995, INT WORKSH NONL DYN
[10]  
Hilborn RC, 1994, CHAOS NONLINEAR DYNA