Local Bifurcations in PWM DC-DC Converters

Abstract

Abstract : A general sampled-data model of PWM DC-DC converters 1, 2 is employed to study types of loss of stability of the nominal (periodic) operating condition and their connection with local bifurcations. In this work, the nominal solution's periodic nature is accounted for via the sampled-data model. This results in more accurate predictions of instability and bifurcation than can be obtained using the averaging approach. The local bifurcations of the nominal operating condition studied here are period-doubling bifurcation, saddle-node bifurcation, and Neimark bifurcation. Examples of bifurcations associated with instabilities in PWM DC-DC converters are given. In particular, input filter instability is shown to be closely related to the Neimark bifurcation.