A Unique Bifurcation Structure in One-Dimensional Model of Current-Controlled Step-Up DC–DC Converter with Photovoltaic Module

In this study, the first step we investigate the bifurcation phenomenon in a current-controlled step-up DC–DC converter with photovoltaic (PV) module using a one-dimensional circuit model. Specifically, we analyze the occurrence of the bifurcation phenomenon in this circuit model by defining the output voltage of the converter as constant and utilizing a PV module nonlinear output model with a relatively small number of parameters. Our results reveal the existence of a unique bifurcation structure in DC–DC converters with PV module, which has not been previously reported. We further elucidate the mechanism of occurrence through a stability analysis based on the brute-force method. The findings of this study contribute significantly to the development of circuit and bifurcation theory for current-controlled step-up DC–DC converters with PV module. First, we show a one-dimensional model of a current-controlled step-up DC–DC converter with a PV module and demonstrate the output characteristic model and circuit behavior of the PV module. Next, we explain the stability analysis method applied to this circuit model. Finally, we analyze the bifurcation phenomenon that occurs in this circuit model and discuss the mechanism of a unique bifurcation structure.