On distributed reactive power and storage control on microgrids

This manuscript develops a dual decomposition algorithm for the distributed control of reactive power and charging/discharging rates in microgrids with distributed solar generation and \storage capacities. Our setting considers physical constraints inherent to storage systems and voltage regulation constraints with the objective of minimizing a cost function that encompasses two aspects: the total cost of the active power consumed by the microgrid and its associated transmission losses over a finite time horizon. We provide a complete analysis of the convergence of the proposed algorithm and introduce a novel approach for the distributed approximation of the voltage prediction over the power grid. Simulations demonstrate the performance of the dual decomposition algorithm on a particular microgrid case.