Modeling and Simulation of DC-DC Power Converters in CCM and DCM Using the Switching Functions Approach: Application to the Buck and C ù k Converters

In this paper, new mathematical models of DC-DC switch-mode converters, which are valid under both continuous and discontinuous operating modes, are presented. The modeling technique is based on the switching functions concept. The obtained models are represented by time-variant state equations, which offer high simplicity for computer implementation. For illustration purpose, the proposed modeling approach is applied to the conventional buck and Cùk converters. The obtained models are then tested through computer implementation using the Simulink tool of Matlab.