Switchings, bifurcations, and chaos in DC/DC converters

被引：209

作者：

di Bernardo, M ^{[1
]}

Garofalo, F

Glielmo, L

Vasca, F

机构：

[1] Univ Bristol, Dept Engn Math, Bristol BS8 1AD, Avon, England

[2] Univ Bristol, Dept Mech Engn, Bristol BS8 1AD, Avon, England

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS | 1998年 / 45卷 / 02期

关键词：

bifurcation; chaos; circuit modeling; dc/dc power conversion; pulsewidth-modulated power converters;

D O I：

10.1109/81.661675

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：

Nonlinear phenomena in closed-loop pulsewidth modulated (PWM) dc/dc converters are analyzed, We introduce a new discrete time nonlinear map-the A-switching map-which is related to the asynchronous switchings, i.e., the changes of converter configuration occurring within the modulating period, This map is compared with the stroboscopic map, which is typically used in the study of dc/dc converters, Analytical conditions for the occurrence of periodic orbits and flip bifurcations are obtained, Moreover, necessary conditions for infinite local stretching on the phase space are derived, Finally, a possible explanation of the sudden jump to chaos exhibited by dc/dc converters is proposed, Analytical and numerical results can be applied to all fundamental dc/dc converter topologies. The case of the voltage-controlled buck converter is treated in detail.

引用

页码：133 / 141

页数：9

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