State-Space Modeling and Reachability Analysis for a DC Microgrid

In a DC microgrid containing parallel voltage sources, distributed control algorithms such as droop control methods are mainly employed. These controllers depend on the nominal bus voltage and the droop coefficients to operate properly. In the DC microgrid with PV arrays there are uncertainties in the PV current. To analyze the transient behavior of this uncertain system simulation-based techniques cannot be used, since they cannot consider the uncertainties. To analyze the uncertain DC microgrid, reachability analysis is used to find the limits of the system variables from a given state-space model of the system. In this paper, using the state-space model of the DC microgrid, reachability analysis is performed to analyze effectiveness of the droop control method in the existence of uncertainties. Simulation and experimental case studies are performed to verify the reachability analysis results.