A 3-dimensional discrete model of a single inductor switching dc-dc converter is obtained in order to explain bifurcations observed after the period 1 dynamics instability. Although a one dimensional model, using the inductor current as a state variable, predicts the first main bifurcation, the voltage of both positive and negative outputs cannot be assumed to be constant to give a more accurate prediction of the subsequent bifurcations, so two more state variables should be used.
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Power Electronics and Motion Control Conference, 2006. EPE-PEMC 2006. 12th International
Date of Conference: Aug. 30 2006-Sept. 1 2006