Distributionally Robust Chance-Constrained Tractable Approximate Formulation of Microgrids With Mobile Energy Storage

Mobile energy storage (MES) systems have demonstrated significant potential in enhancing the reliability and efficiency of microgrid (MG) operations with uncertain routing costs and loads. This article presents a scheduling decision-making formulation that couples MES transportation with an MG network, which encompasses MES optimization operation and MG power management. To address the uncertainty in transportation, a nonsymmetric distributionally robust chance-constrained (NS-DRCC) formulation of routing and scheduling for MES in coupled transportation and MG is proposed, and by leveraging Chernoff's inequality and function fitting techniques, the NS-DRCC model is transformed into a computable mixed integer second-order cones (MISOCP) form to achieve a robust scheduling scheme for the coupled system. The effectiveness of the proposed tractable approximate MG scheduling NS-DRCC model, which accounts for MES operations, was successfully tested on dynamic systems with 5 and 123 buses. These tests validated the efficacy of MES coupling and the NS-DRCC convex approximation in ensuring the safe and economically efficient operation of the MG system.