We establish a novel hybridmodel of a continuous conductionmode buck converterwith a constant power load based on themixed\nlogical dynamical modeling method. Based on the proposed model, the influence of the constant power loadâ??s negative impedance (RCPL) on the dynamics of the buck converter with a constant power load is studied by computing bifurcation diagrams and the\nspectrum of the largest Lyapunov exponents with the variation of the absolute value of RCPL. Numerical results show that the\nsystemâ??s bifurcations exhibit two different types of behavior, namely, Hopf bifurcations and state jumping. Moreover, the accuracy\nand effectiveness of the established mathematicalmodel are verified via simulation and experimental results. Because of including\ndifferent discrete mappings of the system exhibited in different working modes in a unified model, the proposed hybrid model\nsolves the problemof choosing different discretemappings according to different working models.That is, the hybridmodel in this\npaper provides a new unified model for future research on the dynamic properties and design of controllers for such systems.
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