A two-stage robust transmission expansion planning approach with multi-band uncertainty set

Abstract

This paper proposes a robust optimization method for the transmission expansion planning (TEP) while considering uncertainties of renewable energy and load via a multi-band uncertainty set formulation. In order to handle future uncertainty from renewable energy integration and demand fluctuation, robust optimization has been studied extensively to immune the transmission expansion plan against the worst uncertainty realization. However, the traditional single-band robust model yields overly conservative and economic inefficient solution. The proposed multi-band model, with higher resolution among multiple narrower bands, can model the uncertainty set more accurately with historical information and mitigate solution conservativeness. Considering the two-stage structure, a solution procedure by combining Benders decomposition (BD) and Karush-Kuhn-Tucker (KKT) condition is proposed for solving the robust optimization based TEP problem. Numerical studies verify the effectiveness of the proposed robust TEP approach for enhancing uncertainty modeling capabilities and mitigating the conservativeness of robust TEP solution.