Boost变换器分叉序列的仿真与理论分析*

作者：胡乃红，周宇飞，姜学东，杨金，陈军宁 日期：2008-08-14/span> 浏览：3509 查看PDF文档

Boost变换器分叉序列的仿真与理论分析*

胡乃红，周宇飞，姜学东，杨金，陈军宁
(安徽大学 电子科学与技术学院，安徽 合肥 230039)

摘要：为了揭示DC-DC开关功率变换器运行状态失稳过程中的规律，研究了电流模式控制的Boost变换器分叉序列。首先，对基于电流模式控制的Boost变换器的状态方程，利用龙格-库塔（Runge-Kutta）算法进行了仿真，取每个时钟脉冲时刻的电路状态变量构成庞加莱截面，画出了在参考电流变化方向上的分叉图。然后，利用离散映射迭代法推导出了电流模式控制的Boost变换器分叉序列中各分叉点的值。最后，对理论推导出的值与仿真结果进行了对比。研究结果表明，理论值与仿真结果比较吻合，这为变换器的稳定设计提供了理论依据。
关键词：Boost变换器；分叉序列；分叉点；离散映射
中图分类号：TM17文献标识码：A文章编号：1001-4551(2008)07-0047-04

Simulation and theoretical analysis of the bifurcation series in Boost converter
HU Nai-hong, ZHOU Yu-fei, JIANG Xue-dong, YANG Jin, CHEN Jun-ning
(School of Electronic Science and Technology, Anhui University, Hefei 230039, China)
Abstract: To get the regulation of losing stability in the running process of current-mode controlled DC-DC converter, the bifurcation series of Boost converter in current-controlling mode were studied. At first, as to the status equation of Boost converter, Runge-Kutta arithmetic was used to emulate, and its result was gotten. The circuit status variable at every clock pulse was chosed to form a poincare section, and the bifurcation diagram along the direction of referenced current was drew. Then, the value of the bifurcation series of Boost converter in current-controlling mode on every bifurcation point was gotten by the method of discrete map and iteration. Furthermore the theoretical design principles insuring stable operation of converter were concluded. The research results show that, simulation can gain the same results as those from analysis as well, provides theoretical basis for stability design of converter.
Key words: Boost converter; bifurcation series; bifurcation point; discrete map
参考文献(Reference):
［1］AROUDI A, LEYVA R. Quasi-periodic route to chaos in a PWM voltage-controlled DC-DC boost converter［J］. IEEE Trans. Circuits and Systems-I,2001,48(8):967-978.
［2］TSE C K,BERNARDO M D. Complex behavior in switching power converter ［J］. Proceedings of IEEE,2002,90(5):768-781.
［3］DEANE J H B, HAMILL D C. Instability subharmonics and chaos in power electronic system［J］. IEEE Trans. Power Electron,1990,5(3):260-268.
［4］DEANE J H B, HAMILL D C. Chaotic behavior in current mode controlled DC-DC converter ［J］. Electronics Letters,1991,27(13):1172-1173.
［5］BANERJEE S. Bifurcations in two-dimensional piecewise smooth maps-theory and applications in switching circuits［J］. IEEE Trans. on Circuits and Systems-I: Fundamental Theory and Applications,2000,47(5):3100-3113.
［6］BERNARDO M D,VASCA F. Discretetime maps for the analysis of bifurcations and chaos in DC/DC converters ［J］. IEEE Trans.On Circ. Syst.-I,2000,47(2):130-143.
［7］周宇飞，陈军宁,丘水生，等.开关功率变换器中的间歇现象—理论分析［J］.电子学报，2004，32（2）：269-273.
［8］TSE C K, LAI Y M, CHOW M H L. Control of bifurcation in DC/DC converters: an alternative viewpoint of  ramp compensation［C］// Proceedings of the   International Conference on Industrial Electronics Control and Instrumentation. Nagoya, Japan:IEEE Press,2000:2413-2418.
［9］周宇飞,陈军宁，谢智刚，等.参数共振微扰法在Boost变换器混沌控制中的实现及其优化［J］.物理学报,2004，53(11):3676-3683.
［10］张波，李萍，齐群.DC-DC变换器分岔和混沌现象的建模和分析方法［J］.中国电机工程学报，2002，22（10）：81-85.
［11］周宇飞，陈军宁，徐超.开关变换器中吸引子共存现象的仿真与实验研究［J］.中国电机工程学报，2005，25（21）：30-33.