Simplified Averaged Models of DC–DC Power Converters Suitable for Controller Design and Microgrid Simulation

This paper presents simplified nonlinear averaged large-signal and linear small-signal models of the three basic dc-dc converter topologies, boost, buck, and noninverting buck-boost, respectively, operating in peak current-mode control. Models have been derived for the continuous and discontinuous conduction mode. The modeling methodology used is the equivalent current injected method. The derived models have been compared to the existing full-order large-signal nonlinear models and have been found to exhibit simulation time reduction by a few magnitudes in complex distributed power systems, such as today's popular microgrids. The models developed have been experimentally verified on a custom-built 120-W boost converter prototype, showing great accuracy in steady state and in dynamical behavior in all operating points, as determined by the output resistance.