| The study of power electronic circuit modeling and analysis based on hybrid andswitched system is a hot topic of research. Stability studies is the primary task of switchedsystem, whose stability has a great relationship with switching rules. The differentswitching rule and switching sequence will directly affect the behavior and stability of thecircuit operation. In power electronic circuit, we often find some unstable phenomenonsuch 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 ruleis related to the actual converter and its control strategy. Different control methods havedifferent switching rules. The same control methods for different controlled objects havedifferent switching sequences. The same control methods for the same controlled objectshave different switching sequence while its driver conditions or circuit parameters isdifferent.This essay has done a comprehensive research on the hybrid and switched systemtheory used in power electronic circuit. The research process is as follows: Firstly, Weresearch 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 basicmathematical model of the switched system is described. Secondly, the switched systemmodel of three DC/DC converters is built. The second basic problem of switched systemstability is analyzed, which is to determine the system stability under the periodic switchingsequence. Then we discuss the different control circuits and methods, the drive mechanismof the switching rule and the connection between them. Lastly, a way based on the directmethod of Lyapunov function is given to construct the stable switching rules of DC/DCconverter. Besides, the relation between the running behavior and switching rules of buckcircuit is introduced based on switched system theory. |
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