  In this paper, we consider distributed control of microgrids composed of
storages, generators, renewable energy sources, critical and controllable
loads. After recalling a Mixed-Integer Linear Programming (MILP) formulation of
the optimal control problem associated to the microgrid, we show that this
optimization problem can be recast as a distributed optimization problem.
Following the approaches proposed in the literature, we formulate a
distributed, two-stage stochastic optimization problem associated to the
microgrid and solve this problem using a distributed approach for MILPs. The
resulting algorithm is able to compute high-quality feasible solutions to the
two-stage stochastic problem, for which we provide a theoretical upper bound on
the constraint violation. Numerical computations show the efficacy of the
proposed solution.
