Optimal sizing strategy for energy storage system considering correlated forecast uncertainties of dispatchable resources

This paper, from the perspective of hourly dispatch, proposes an approach of sizing Energy Storage System (ESS) in an isolated grid. The objective is to minimize the total cost by optimizing the size of ESS, thermal units generation power, wind curtailment and load demand response. While transforming the chance constraints, such as the network constraints, into the deterministic constraints, the model takes into account the correlations of the forecast errors among wind farms, and load at different buses. In addition, two types of transmission line overloading probability (TLOP) constraints are considered in the ESS sizing models. In particular, an approach of linearizing the scenario generation network constraints is proposed, so that the commercial software can solve the optimization problem. Meanwhile, the performance of the proposed sizing method is validated on a 4-Bus system and a modified IEEE RTS-79 system.