Optimal Operation of Stationary and Mobile Batteries in Distribution Grids

The trending integrations of Battery Energy Storage System (BESS, stationary battery) and Electric Vehicles (EV, mobile battery) to distribution grids call for advanced Demand Side Management (DSM) technique that addresses the scalability concerns of the system and stochastic availabilities of EVs. Towards this goal, a stochastic DSM is proposed to capture the uncertainties in EVs. Numerical approximation is then used to make the problem tractable. To accelerate the computational speed, the proposed DSM is tightly relaxed to a convex form using second-order cone programming. Furthermore, in light of the continuous increasing problem scale, we use a distributed method with a guaranteed convergence to shift the computational burden to local controllers. To verify the proposed DSM, we use real-world EV data collected on UCLA campus and test the DSM in a modified IEEE distribution benchmark test system. Numerical results demonstrates the correctness and merits of the proposed approach.