Rolling Stochastic Optimization based operation of distribution systems with PVs and Energy Storages

This paper presents a novel framework for stochastic optimal operation of Energy Storage (ES) systems in coordination with Renewable Energy Resources (RERs) in three-phase unbalanced distribution systems. An efficient three-phase unbalanced Distribution Optimal Power Flow (DOPF) is formulated that can be used for both radial and meshed networks. Mathematical optimization models for ESs are developed and integrated in the DOPF formulation. Then, two stochastic operation methods, Fixed-Window Iterative and Rolling Stochastic Optimization methods, are employed to optimally schedule the operation of resources in distribution networks with uncertainties in demand and RER outputs. The proposed optimization model can also be employed to analyze the effects of integrating RERs and ESs into distribution systems. Some relevant simulation results are presented and discussed to highlight the effectiveness of the proposed method to optimally operate distribution systems with ES and RERs. Presented results show that considerable power loss reductions could be achieved with optimal operation of ESs even in the presence of uncertainties.