Investigation of tangent bifurcation in voltage mode controlled DCM boost converters

The voltage mode controlled boost converters contain plenty of bifurcation phenomena. Tangent bifurcation is one of these phenomena. The investigation of the tangent bifurcation in voltage mode controlled boost converters operating in discontinuous conduction mode (DCM) is performed. The third iterative map is derived according to the first iterative map. Based on the tangent bifurcation theorem, the conditions of producing the tangential bifurcation in the DCM boost converters are deduced mathematically. The computer simulations are performed to capture the effects of some chosen parameters on the tangent bifurcation behavior of the system. The results show that the variation of the feedback factor leads to tangent bifurcation and intermittent chaos phenomena. Experimental results show that the system does exhibit tangent bifurcation under the particular operating conditions, thus validating the theoretical analysis and the simulation results.