Analysis of stability and bifurcation in a simple model of power converters with solar cell input

This paper studies stability and bifurcation of a simple piecewise linear dynamical system relating to several kinds of switching converters with solar cell input. Applying a simplification method, we derive the 1D phase map that is useful for precise analysis. The system can exhibit rich bifurcation phenomena, and for simplicity, we consider bifurcation for two parameters corresponding to temperature and an inner conductor. We then provide two important results. First, as the temperature parameter increases, stable periodic orbit is changed into chaotic orbit via period doubling bifurcation. This bifurcation set is a border between stable operation and chaos generation. Second, as the conductor parameter approaches zero, the chaotic orbit is changed into a variety of super-stable periodic orbits.