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This paper presents the design and modeling of power electronic converters such as buck–boost and Ćuk operated under continuous conduction mode (CCM). The open-loop behavior of buck–boost and Ćuk converters needs modeling and simulation using modeled equations. The closed-loop control of these converters has a propositional–integral–derivative (PID) controller. PID controller parameters are obtained from Ziegler–Nichols step response method. These converters can be analyzed using the state equation. The MATLAB/SIMULINK tool is used for simulation of those state equations. Ćuk and buck–boost converters are designed and analyzed. The mathematical model of power Converter for simulation has been carried out using SIMULINK with/without any Sim Power System Elements. The open- and closed-loop results are compared.
In this paper, a sliding-mode variable structure model is proposed for studying the nonlinear dynamical behaviors of the free-running current-programmed Ćuk converter. Conditions for the occurrence of various bifurcations are derived analytically, along with simulation results that illustrate the theoretical findings. This paper provides useful information for the stability design of Ćuk converters under free-running current-programmed control and illustrates the application of the nonlinear analysis method to a specific type of plant.