Stability and Bifurcation Aspects in Charge Controlled DC-DC Converters

Continuous conduction mode operated dc-dc converters employing the charge control technique is investigated regarding stability, bifurcation and chaotic aspects. The proposed mathematical approach is general twofold: the analysis is converter independent and it and can be applied to any other control strategies provided the converter is CCM operated. Starting from an exact state-space description of the converter the exact duty cycle and the exact reference voltage value at the border of the stability region are calculated. The approach used also allows to predict the nature of the bifurcation. The theoretical concepts developed in the paper are accurately verified twice: first by discrete state-space simulation in Matlab and then by circuit simulation under the Caspoc package.