Dynamic modelling of a quadratic DC/DC single-switch boost converter

This manuscript proposes the analysis of a Quadratic Boost Converter (QBC) transformer-less single switch typology. The state space average dynamic model and a constrained state space average model taking into account the mono-directional components of the converter (diodes, switches) have been analyzed. The static gain expression taking into consideration the parasitic elements of the converter and the small-signal transfer function of the QBC typology under study has been obtained. A sensitivity analysis has shown a high variation of the gain versus duty-cycle and of the derivative gain versus parasitic parameters of the converter in the range of the duty-cycle from 0.6 to 0.8 which is range of interest for this kind of converter. The small signal model and the static gain function have been used for a closed loop configuration with a feed-forward action in which the structure of the controller is a simple integrator with reference to a practical case study (300 W prototype). (C) 2017 Elsevier B.V. All rights reserved.