Study of the mechanism of period-doubling bifurcation in DCM flyback converter

The mechanism of period-doubling bifurcation in voltage mode controlled flyback converter operating in discontinuous conduction mode (DCM) is studied according to the theorem of period-doubling bifurcation, a one-dimensional discrete iterative map of the system, in which the primary side magnetizing inductor current of a transformer and the equivalent series resistance (ESR) of the capacitor is considered, has been derived. A thorough analysis of the period doubling bifurcation and chaotic behavior is performed based on this map. The conditions causing period-doubling bifurcation are deduced mathematically. The simulation and experiment have been made, and the results show that the system does exhibit period-doubling bifurcation route to chaos under the particular operating conditions.