Three Dimensional Discrete Map for a Single Inductor Current Mode Controlled Dual Switching DC-DC Converter

Abstract

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.