A New Stability Analysis Method for DC to DC Series Resonant Converters Un Nuevo Método para el Análisis de Estabilidad de Convertidores Resonantes Serie de CD a CD

In this note we present a novel stability analysis method for DC to DC series resonant converters which relies on the phase plane technique. This method gives more insight into the rationale behind the stability conditions because these are obtained from geometrical considerations instead of eigenvalues of linear discrete time approximations as presented in previous works. The proposed method allows to understand easily how the performance is affected as the location of the operating point changes on the phase plane which is not an easy task when previously proposed methods are used. We show how to use numerical computations, based on this stability analysis method, to determine graphically the region of the phase plane where asymptotically stable closed trajectories exist. Further, a nice geometrical condition is formulated to achieve the fastest convergence rate to the closed trajectory under study.