基于切换系统理论的电力电子电路稳定性分析-电路与系统专业论文.docx

华 华 中 科 技 大 学 硕 士 学 位 论 文 II II Abstract The study of power electronic circuit modeling and analysis based on hybrid and switched system is a hot topic of research. Stability studies is the primary task of switched system, whose stability has a great relationship with switching rules. The different switching rule and switching sequence will directly affect the behavior and stability of the circuit operation. In power electronic circuit, we often find some unstable phenomenon such as the irregular, bifurcation, chaos and so on. In the view of switched systems theory, we believe that these unstable phenomenon is caused by the switching. The switching rule is related to the actual converter and its control strategy. Different control methods have different switching rules. The same control methods for different controlled objects have different switching sequences. The same control methods for the same controlled objects have different switching sequence while its driver conditions or circuit parameters is different. This essay has done a comprehensive research on the hybrid and switched system theory used in power electronic circuit. The research process is as follows: Firstly, We research on the significance of the paper and have an overview on switched system stability, then analyze its characteristics and the three basic questions. After that, the basic mathematical model of the switched system is described. Secondly, the switched system model of three DC/DC converters is built. The second basic problem of switched system stability is analyzed, which is to determine the system stability under the periodic switching sequence. Then we discuss the different control circuits and methods, the drive mechanism of the switching rule and the connection between them. Lastly, a way based on the direct method of Lyapunov function is given to construct the stable switching rules of DC/DC converter. Besides, the relation between the running behavior and switching rules of buck