Stochastic optimal configuration of shared energy storage and wind farms for primary frequency support considering wind speed correlations

To address the issue of frequency stability caused by the integration of renewable energy into the grid, the shared energy storage (SES) is coordinated with multiple wind farms (WFs). The scientific PFR reserve capacity configuration of them is essential to balance reliability and cost. Nevertheless, due to the desynchronization of wind resources between WFs and on-site wind turbines (WTs), there are differences in the reserve capacity and allocated SES capacity of different WFs. The traditional unified capacity configuration method easily increases costs. Therefore, this paper proposes a stochastic optimal configuration method considering wind speed (WS) correlations. Firstly, the high-dimensional vine Copula is used and the effects of wake, terrain, and time-delay are considered to portray the WS correlation of multiple WFs and multiple WTs, respectively. Subsequently, the PFR reserve capacity optimal strategy is established to minimize the total cost of the WFs and the SES. In particular, the p-efficient point algorithm based on the Copula function is utilized to solve the chance constraint. The simulation results show that the proposed method reasonably configures each WT’s deloading capacity and the SES capacity with consideration of WS correlations and uncertainties, meeting the PFR demand and reducing the reserve cost.