Robust Transmission and Energy Storage Expansion Planning in Wind Farm-Integrated Power Systems Considering Transmission Switching

Abstract

This paper presents a new nondeterministic model for joint transmission and energy storage expansion planning along with optimal transmission switching in wind farm-integrated power systems. The proposed approach adopts the underlying idea of robust optimization to characterize the uncertainty sources pertaining to load demands and wind power productions through uncertainty sets. Accordingly, a tractable adaptive min–max–min cost model is introduced to find a robust optimal expansion plan for new lines and storages withstanding the worst-case realization of the uncertain variables. As the adaptive min–max–min cost model cannot be solved directly by the commercial off-the-shelf software packages, a decomposition algorithm using primal cutting planes is introduced to obtain the optimal solution. The proposed approach has been implemented on the IEEE 24-bus and the IEEE 73-bus test systems. Also, the robustness of optimal expansion plans under different circumstances is evaluated through a post-optimization procedure simulating different realizations of the uncertainty sources. Case studies justify the efficiency of the proposed RO-based model.