A Robust scheduling method of AC / DC Distribution Network Based on Diamond-shaped Cutting Convex Hull Set

In an effort to enhance the description of the uncertainty inherent in renewable energy production, this paper proposes a robust scheduling method of AC/DC distribution network based on diamond-shaped cutting convex hull set. Initially, an ellipsoidal set accounting for uncertainty was developed using historical renewable energy data, alongside a data-driven convex hull polyhedron formed by interlinking vertices from a high-dimensional ellipse. Building upon this, addressing the substantial conservatism encountered when scaling the convex hull polyhedron, a convex hull set model of diamond-shaped cutting is established. Additionally, a robust scheduling model specifically for AC/DC distribution grids, utilizing the diamond-cut convex hull configuration, is formulated with the assistance of the C&CG algorithm for its resolution. Conclusively, validation through simulations on the enhanced IEEE-33 node system indicates that the proposed method can effectively reduces conservatism while enhancing the robustness of the outcomes.