| 引用本文: | 孙立山,杨爽,刘洪臣.断续电流型开关电感Buck-Boost变换器的分岔现象[J].哈尔滨工业大学学报,2015,47(2):55.DOI:10.11918/j.issn.0367-6234.2015.02.011 |
| SUN Lishan,YANG Shuang,LIU Hongchen.Bifurcation in discontinuous current-programmed Buck-Boost converter with switched-inductor structure[J].Journal of Harbin Institute of Technology,2015,47(2):55.DOI:10.11918/j.issn.0367-6234.2015.02.011 |
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| 摘要: |
| 为了分析开关电感结构的Buck-Boost变换器电路参数对系统性能的影响,基于断续电流模式下系统的离散迭代映射模型,利用开关变换器的动力学分析方法,采用分岔图和庞加莱截面研究了系统的稳定问题,并根据不动点邻域内Jacobian矩阵特征值的变化情况确定了系统首次失稳时分岔点的位置．应用PSIM仿真,通过时域图和相轨图观察了变换器在不同参数变化下丰富的动力学演化过程,验证了理论分析的正确性．结果表明:当开关电感Buck-Boost变换器工作于DCM模式下时,其工作状态主要受电流边界Ib2的影响,电流边界Ib1对系统稳定性的影响相对较小,随着电路参数的变化,系统经边界碰撞分岔最终进入DCM阵发混沌状态． |
| 关键词: 断续电流模式 开关电感 Buck-Boost变换器 离散迭代映射模型 分岔 |
| DOI：10.11918/j.issn.0367-6234.2015.02.011 |
| 分类号:TM46; TM132 |
| 基金项目:国家自然科学基金(51107016); 黑龙江省博士后科研启动金 (LHB-Q12086). |
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| Bifurcation in discontinuous current-programmed Buck-Boost converter with switched-inductor structure |
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SUN Lishan, YANG Shuang, LIU Hongchen
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(School of Electrical Engineering and Automation, Harbin Institute of Technology, 150001 Harbin, China)
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| Abstract: |
| The circuit parameters of Buck-Boost converter with switched-inductor are studied in order to analyze the influence on the performance of the system. The discrete iterated mapping model under discontinuous conduction mode (DCM) is established. The stability problem is studied by bifurcation diagrams and Poincare sections, and the location of the first bifurcating point is confirmed based on the loci of eigenvalue for the system’s Jacobian matrix. Finally, a simulation model is built up by PSIM software to verify the correctness of the theoretical analysis and the rich dynamic process is observed by time-domain diagram and phase track diagram under different parameters. The studied results and analysis methods are helpful for designing and debugging the switched converters like that. The results show when Buck-Boost converter with switched-inductor works in DCM mode, its working states are mainly affected by the border of current Ib2, the current Ib1 border has small impact on the stability of the system. With the change of circuit parameters, the system enters into DCM intermittent chaos state by the border collision bifurcation. |
| Key words: discontinuous conduction mode switched-inductor Buck-Boost converter discrete iterated mapping model bifurcation |
