We describe a process to dispatch the operation of a medium voltage distribution feeder and improve its quality-of-service using a battery energy storage system (BESS). It is organized according to a day-ahead and intra-day structure to allow the integration with electricity markets. In the former stage, the average power transit on a 5-minute resolution is determined for the next day of operation using adaptive black-box forecasting. In the latter stage, the feeder operation is dispatched according to the previously determined trajectory. The resulting tracking problem is accomplished by using the BESS to compensate for deviations from the dispatched plan, which are likely to occur due to forecasting errors. For the first time in the literature, the control strategy is realized using model predictive control (MPC) accounting for the battery charge redistribution effect. This phenomena is described using a state-of-the-art lithium battery model. A simulated proof-of-concept is given.