高频Boost变换器稳定运行的参数域分析
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摘要
高频条件下的Boost变换器具有功率密度大、转换效率高和适于大规模集成等特点而备受关注,但因其强非线性特性,在工作中更容易因参数选择不当或外部受到大干扰使得系统产生分岔和混沌现象。通过建立高频Boost变换器的频闪映射模型,利用Jacobian矩阵特征值变化判断系统的稳定参数域,分析了该变换器各参数在不同条件下产生分岔的情况,通过电路仿真及实验验证了高频Boost变换器中出现的分岔及混沌现象与理论分析结果一致。本结论能够为Boost变换器在高频条件下维持稳定运行提供参考,也为系统的进一步优化设计和控制提供理论依据。
Owing to its high power density, high conversion efficiency, and suitability for large scale integration,high-frequency Boost converter has attracted more attention. However, because of its strong nonlinear characteristics, the system is more likely to generate bifurcation and chaos phenomena due to the improper parameter selection or external interference. In this paper, a stroboscopic map model of high-frequency Boost converter is established, and the variation of the Jacobian matrix' eigenvalues is used to judge the stability parameter domain of the system; in addition, the parameter bifurcations of the inverter are analyzed under different conditions. Through circuit simulations and experiments, it was found that the bifurcation and chaos phenomena in the high-frequency Boost converter were in agreement with the results of theoretical analysis. The conclusion in this paper can provide reference for the Boost converter to maintain stable operation under high-frequency conditions, and it also provides a theoretical basis for the system's further optimization design and control.
Owing to its high power density, high conversion efficiency, and suitability for large scale integration,high-frequency Boost converter has attracted more attention. However, because of its strong nonlinear characteristics, the system is more likely to generate bifurcation and chaos phenomena due to the improper parameter selection or external interference. In this paper, a stroboscopic map model of high-frequency Boost converter is established, and the variation of the Jacobian matrix' eigenvalues is used to judge the stability parameter domain of the system; in addition, the parameter bifurcations of the inverter are analyzed under different conditions. Through circuit simulations and experiments, it was found that the bifurcation and chaos phenomena in the high-frequency Boost converter were in agreement with the results of theoretical analysis. The conclusion in this paper can provide reference for the Boost converter to maintain stable operation under high-frequency conditions, and it also provides a theoretical basis for the system's further optimization design and control.
引文
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[2]雷涛,陈伉.双单元Buck变换器中非线性动力学仿真研究[J].系统仿真学报,2014,26(8):1820-1824.Lei Tao,Chen Kang.Study of nonlinear dynamics analysis in two cell buck converters[J].Journal of System Simulation,2014,26(8):1820-1824(in Chinese).
[3]Tse C K,Bemardo M D.Complex behavior in switching power converters[J].Proceeding of the IEEE,2002,90(5):768-781.
[4]李耀伟,彭战松,俞建宁.三维自治系统的稳定性分析及其分岔研究[J].重庆理工大学学报,2013,27(10):121-124.Li Yaowei,Peng Zhansong,Yu Jianning.Three-dimensional autonomous system stability and bifurcation analysis[J].Journal of Chongqing University of Technology,2013,27(10):121-124(in Chinese).
[5]尚佳宁,边境,李虹,等.基于频闪映射的LCL型并网逆变器的稳定性分析[J].电工技术学报,2014,29(1):251-256.Shang Jianing,Bian Jing,Li Hong,et al.The stability analysis of grid-connected inverter with LCL filter based on the stroboscopic map[J].Transactions of China Electrotechnical Society,2014,29(1):251-256(in Chinese).
[6]刘啸天,周国华,李振华,等.基于双缘调制的数字电压型控制Buck变换器离散迭代映射模型建模与动力学分析[J].物理学报,2015,64(22):414-425.Liu Xiaotian,Zhou Guohua,Li Zhenhua,et al.Discrete iterative-map modeling and dynamical analysis of digital voltage-mode controlled buck converter with dual-edge mo dulation[J].Acta Physica Sinica,2015,64(22):414-425(in Chinese).
[7]周国华,许建平,包伯成,等.电流源负载峰值电流控制buck变换器的复杂次谐波振荡现象[J].物理学报,2011,60(1):51-58.Zhou Guohua,Xu Jianping,Bao Bocheng,et al.Complex subharmonic oscillation phenomenon of peak current controlled buck converter with current source load[J].Acta Physica Sinica,2011,60(1):51-58(in Chinese).
[8]王均,杜建华,纪婧,等.峰值电流模式控制数字移相全桥变换器的分析与设计[J].电源学报,2015,13(2):71-76.Wang Jun,Du Jianhua,Ji Jing,et al.Analysis and design of digital peak-current-control scheme in phase-shift fullbridge converter[J].Journal of Power Supply,2015,13(2):71-76(in Chinese).
[9]黄汉奇,毛承雄,陆继明,等.光伏发电系统的小信号建模与分析[J].中国电机工程学报,2012,32(22):7-14.Huang Hanqi,Mao Chengxiong,Lu Jiming,et al.Small signal modeling and analysis of grid-connected photovoltaic generation systems[J].Proceedings of the CSEE,2012,32(22):7-14(in Chinese).
[10]邵桂荣,苏世栋,詹平红.DC-DC开关变换器的动力学建模与稳定性分析[J].重庆理工大学学报,2010,24(11):93-96.Shao Guirong,Su Shidong,Zhan Pinghong.Dynamic modeling and stability study of DC-DC switching converters[J].Journal of Chongqing Institute of Technology,2010,24(11):93-96(in Chinese).
[11]Chen Yan,Zheng Yong.Nonlinear behavior analysis of Z-source DC/DC Inverter based on current control[J].IEEE Transactions on Vibroengineering,2013,15(3):25-29.
[12]周小勇.一个新混沌系统及其电路仿真[J].物理学报,2012,61(3):71-79.Zhou Xiaoyong.A novel chaotic system and its circuit simulation[J].Acta Physica Sinica,2012,61(3):71-79(in Chinese).
[13]兰朝凤,苏文涛,李小斌.水轮机压力脉动的混沌动力学特性[J].哈尔滨工业大学学报,2016,48(7):101-105.Lan Chaofeng,Su Wentao,Li Xiaobin.Study on the chaotic dynamic characteristics of pressure fluctuations in hydro-turbine[J].Journal of Harbin Institute of Technology,2016,48(7):101-105(in Chinese).