This paper studies two kinds of simple switched dynamical systems with piecewise constant characteristics. The first one is based on the single buck converter whose periodic/chaotic dynamics are analyzed precisely using the piecewise linear phase map. The second one is based on a paralleled system of the buck converters for lower voltages with higher current capabilities. Referring to the results of the single system, it is clarified that stable multi-phase synchronization is always possible by the proper use of the switching strategies and adjustment of the clock period. Presenting a simple test circuit, typical operations are confirmed experimentally.

This paper studies switched dynamical systems based on a simplified model of two-paralleled dc-dc buck converters in current mode control. In the system, we present novel four switching rules depending on both state variables and periodic clock. The system has piecewise constant vector field and piecewise linear solutions: they are well suited for precise analysis. We then clarify parameter conditions that guarantee generation of stable 2-phase synchronization and hyperchaos for each switching rule. Especially, it is clarified that stable synchronization is always possible by proper use of the switching rules and adjustment of clock period. Presenting a simple test circuit, typical phenomena are confirmed experimentally.

This paper studies a switched dynamical system based on the boost converter with a solar cell input. The solar cell is modeled by a piecewise linear current-controlled voltage source. A variant of peak-current-controlled switching is used in the boost converter. Applying the mapping procedure, the system dynamics can be analyzed precisely. As a main result, we have found an important example of trade-off between the maximum power point and stability: as a parameter (relates to the clock period) varies, the average power of a periodic orbit can have a peak near a period-doubling bifurcation set and an unstable periodic orbit can have the maximum power point.