Analysis and experimental verification of Hopf bifurcation in a solar photovoltaic powered hysteresis current-controlled cascaded-boost converter

In this study, the non-linear dynamics of a two-stage cascaded-boost converter, which is a popular choice, for solar energy systems is investigated. The stability of the system is studied with the aid of non-linear state equations derived from an averaged continuous model. Analysis of the describing autonomous equations reveals that the system loses stability via supercritical Hopf bifurcation. Extensive computer simulations are performed to capture the system´s dynamic behaviour and demarcate the bifurcation boundaries. Furthermore, the possibility of subcritical Hopf bifurcation for variation in input voltage is also examined. Trajectory and Poincar?? section before and after the bifurcation are shown. Experimental results are also provided to confirm the observed bifurcation scenario.