On the stability of limit cycles in resonant dc-to-dc power converters

Abstract

In this note, we use the Poincare map to study the stability of induced limit cycles in a series resonant dc-to-dc power converter. We prove global exponential stability of the unique limit cycle. We establish a means of computing a priori the voltage supplied to the load. We also study the robustness properties of the output voltage when different values of load are used. Finally, we succeed to compute the ripple voltage. Some simulation results are presented to verify our findings.