Buck-Boost Converter Modeling and Control based on its Role within a Microgrid

This paper presents an alternative method of obtaining linear mathematical models for the Buck-Boost converter based on the configuration in which it is used within a DC microgrid. This method is based on the state-space averaging. The state-space averaged model of the Buck-Boost converter is non-linear and requires linearization around an operating point. State-space averaged models are quite accurate and provide much information about the behavior of the converter, but they lose accuracy through linearization. The method presented in this paper has the advantage of producing linear models without needing to linearize the models around an operating point. The steps through which the model is obtained are similar to those used in state-space averaging, with the addition of applying certain simplifying assumptions, leading to a simpler model. The simplified models obtained through this method have the advantage of preserving the essential characteristics of system dynamics.