基于Matlab的开关变换器混沌研究数值方法

作者：王诗兵1,2，周宇飞1，陈军宁1 日期：2007-07-09/span> 浏览：4344 查看PDF文档

                         基于Matlab的开关变换器混沌研究数值方法
                           王诗兵1,2，周宇飞1，陈军宁1
          (1．安徽大学 电子科学与技术学院，安徽 合肥 230039；
          2．阜阳师范学院 计算机系，安徽 阜阳 236041)

摘 要：基于Matlab软件平台，为电压模式控制Buck开关功率变换器建立了Simulink仿真模型，给出了几种混沌研究数值方法的实现算法，并通过编程计算绘出了变换器的时域波形、相轨、庞加莱截面、分岔图、最大Lyapunov指数谱、功率谱等，从而有效地显示了该系统丰富的动力学行为。其研究结果可以对开关功率变换器可靠性设计提供理论指导，其研究方法还可以运用于其他非线性系统的混沌分析。

  Numerical methods of Chaos research in switching converters based on Matlab
            WANG Shibing1,2, ZHOU Yufei1, CHEN Junning1
（1.College of Electronic Science and Technology, Anhui University, Hefei 230039 China;
2.Department of Computer Science and Technology, Fuyang Teachers College, Fuyang 236041, China）

Abstract: Based on Matlab software, the Simulink model of voltagemode controlled Buck converter was constructed, the algorithms of some numerical methods in Chaos research were given, and the timedomain waveforms, phasespace trajectory, poincaré sections, bifurcation diagram, the largest Lyapunov exponents spectrum and power spectrums were drawn by Matlab programming, which can indicate the complex dynamic behaviors of the Buck converter. The results of this study can offer guidance to the reliable design of switching power converters, and the methods can also be extended to the study of Chaos in other nonlinear systems.
Key words: switching power converter; Chaos; numerical method; Matlab

参考文献(Reference)：
［1］吴祥兴,陈 忠.混沌学导论［M］.上海:上海科学技术文献出版社，1996.
［2］BANERJEE S, VERGHESE G. Nonlinear phenomena in power electronics: attractors, bifurcations, chaos, and nonlinear control［M］. New York: IEEE Press,2001.
［3］TSE C K, BERNARDO M D. Complex behavior in switching power converters［J］.Proceedings of IEEE,2002,90(5):768-781.
［4］张志涌,徐彦琴.MATLAB教程［M］.北京:北京航空航天大学出版社,2001.
［5］张琪昌,王洪礼,竺致文,等.分岔与混沌理论及应用［M］.天津:天津大学出版社,2005.
［6］ZHOU Yufei. Simulation and experimental studies on coexistion attractor sin DC-DC switching converter[J]. Proceedings Of The Chinese Society For Electrial Engineering, 2005,25(21):30-33.
［7］Benettin G. Kolmogorov entropy and numerical experiments［J］. Physical Review A, 1976,14(6):2338-2345.