Constrained control for microgrids with constant power loads

This paper analyses the reachability properties of Microgrids connected to constant power loads subject to input and state constraints. Constraint requirements in microgrids are either inherent, i.e. inverter modulation indices limitations, or imposed, such as current and voltage limitation which are safety critical. In this paper, we propose an analysis of the controllability properties of a microgrid using set theoretic notions; this analysis sheds light on the constraint admissibility properties of a microgrid with constant power loads in terms of constraint satisfaction and robustness to changes in power demands. Lastly, we provide a method of recasting the original nonlinear microgrid control problem into controlling a linear system subject to bounded additive disturbances and output constraints.