Coordinated Planning of Storage Unit in a Remote Wind Farm and Grid Connection Line: A Distributionally Robust Optimization Approach

Abstract

Wind power generation is developing fast all over the world. Centralized integration of large-scale wind farms is a main paradigm in China. However, wind resource is usually far away from the load center or a power grid, new transmission corridor must be set up to deliver wind power. As wind generation is volatile, the capacities of storage unit equipped in the wind farm and the grid-connection transmission line should be carefully determined. This paper proposes a distributionally robust optimization model for coordinated capacity planning of grid-connection transmission line and storage unit inside the remote wind farm. The investment cost is minimized, under the chance constraint of wind curtailment rate being less than a threshold. To deal with uncertain wind power output, Wasserstein matric based ambiguity set which describes a family of inexact wind power probability distributions is constructed from limited historical data. The distributionally robust model is transformed to a linear program. Case studies show that the proposed method is effective in handling uncertainty. Properly sizing storage unit can reduce the transmission capacity, and decrease total investment cost.