【作者】 胡乃红；

【导师】 陈军宁； 周宇飞；

【作者基本信息】 安徽大学 ， 电路与系统， 2012， 博士

【摘要】 电力电子电路属于强非线性电路系统,由于器件的非线性和开关的切换作用,在其电路工作过程中可能会出现一些非线性现象,导致电路的许多工作性能变坏。通过对电力电子电路中的分叉及混沌控制研究,可以揭示该电路的非线性本质,提高电路的各项性能指标,为电路的稳定运行提供有力保障,为实际电路的稳定设计提供理论依据。具体工作内容包括：(1)介绍了混沌动力学的一些相关基本知识,这些基本知识为电力电子电路中的快标分叉及混沌控制研究提供了理论指导。并对本论文的结构进行了安排；(2)介绍了分叉及混沌控制的一些方法,分析比较了各自的特点。尽管目前已取得了一定的成果,但混沌控制仍是热点研究领域；(3)对开关功率变换器中的快标分叉控制进行了深入的研究。深入分析了电力电子电路在工程实践应用过程中,随着电路中某些系统参数的变化,电路将出现分叉直至进入混沌状态,使系统的性能变差。在实际工程中,希望其稳定地工作在开关频率上,避免任何分叉和混沌行为的出现。斜坡补偿是一种简单而有效的方法,它对控制对象有很好的适用性,同样适用于电力电子电路的分叉和混沌控制。本文从非线性系统的分叉控制理论出发,对峰值电流模式控制的几个典型的电路中的斜坡补偿进行了详细地分析,并得出了优化的补偿结果。精确的仿真结果充分验证了理论分析的有效和正确。该方法同样适用于其他的电力电子电路稳定性分析与设计；(4)深入研究了单个和并联SPWM逆变器中的分叉控制。分析其在工程实践应用时,当系统参数发生变化,逆变器将出现分叉直至进入混沌状态,使系统的性能变差。本文从非线性系统的分叉控制理论出发,对峰值电流模式控制的单相和并联SPWM逆变器中的斜坡补偿进行了详细地分析,并得出了优化的补偿结果。精确的仿真结果充分验证了理论分析的有效和正确。该方法同样适用于其他的电力电子电路稳定性分析与设计；(5)对电力电子电路中的比较复杂的电路,如单相SPWM逆变器、PFC Boost变换器中的混沌现象,应用了延迟反馈法进行了有效的控制,实现了混沌状态到稳定态的周期状态转化。控制的结果使系统回到了原系统的混沌中的不稳定周期轨道(UPO)。并通过大量仿真总结了不同的反馈增益k1、不同的延迟时间τ对系统性能是如何影响的?以及各电路参数对反馈增益k1的影响,为电路的稳定设计提供可靠的理论指导；更多还原

【Abstract】 Power electronic circuit belongs to the strongly nonlinear circuit system. Due to the non-linearity of the device and the switching function of the switch, a variety of nonlinear phenomena will occur in the operational process, which worsens many performances of the circuit.Through the research of the bifurcation and chaos control in the power electronic circuit, it can reveal the nonlinear nature of the circuit, improve varied performance indicators of the circuit, provide an effective guarantee for the stable operation of the circuit, and supply the theoretical basis for the design of the stability of practical circuits. The detailed contents are as follows:(1) The paper introduces some basic knowledge related to the chaotic dynamics, which provides a theoretical guidance for the research of fast-scale bifurcation and chaos control in the power electronic circuit. Also, it points out the structure for the whole paper.(2) In this paper, we introduce some metods of the bifurcation and chaos control, and analyze their respective characteristics. Although many achievements have been made now, the chaos control is still a hot research field.(3) The fast-scale bifurcation control in the switching power converter has been researched deeply.The power electronic circuit has been widely applied in engineering practices. With the changes of some system parameters in the circuit, the bifurcation of the circuit will occur and then changes into the chaotic state, which degrades the performance of the system. In the actual project, we hope the circuit work steadily on the switching frequency to avoid any bifurcation and chaotic behavior. Slope compensation is a simple and effective way. It has good applicability and is suitable for bifurcations and chaos control in power electronic circuits. This paper starts from the theory of bifurcation control of nonlinear systems, and makes a detailed analysis of the slope compensation in several typical circuits under the peak current-mode control, and then comes to the optimal compensation results. The accurate simulation results verify the effectiveness and correctness of the theoretical analysis. This method is also applicable to the stability analysis and the design of other power electronic circuits.(4) The single and parallel single-phase SPWM inverters, wideley used in engineering practices, have been researched extensively. When system parameters change, the inverters will appear to be bifurcate and then go into the chaotic state, which degrades the performance of the system. Based on the theory of bifurcation control of nonlinear systems, the paper makes a detailed analysis of the slope compensation in the single and parallel single-phase SPWM inverters under the peak current-mode control, and then reaches the optimal compensation results. The accurate simulation results prove the effectiveness and correctness of the theoretical analysis. This method is also applicable to the stability analysis and the design of the power electronic circuits.(5) The delayed feedback approach is adopted to deal with the chaotic phenomena occurring in the more complex circuits in power electronic circuits, like single-phase SPWM inverter and PFC Boost Converter. The chaotic phenomena get effective control and achieve the transformation of the periodic state from the chaotic state to the steady state. The results of the control make the system back to the unstable periodic orbits (UPO) in the chaos of the original system. Through a large number of simulations, we summarize how the different feedback gainK1and different delay time r influence the system performance and how the circuit parameters affect the feedback gainK1, so as to provide a reliable theoretical guidance for the design of the circuit stability.更多还原