Decomposable Solution Paradigm for Uncertainty-based Transmission and Distribution Coordinated Economic Dispatch

This paper proposes a two-stage formulation and its solution paradigm for the coordinated economic dispatch of transmission and distribution network. The first stage concerns the benefits for a transmission system operator (TSO), which transfers the optimal power injection with locational marginal prices (LMPs) via the boundary node to the active distribution system operators (DSOs), whereas DSOs in the second stage return their optimal nodal power demand back to the TSO. In the distribution network, not only conventional dispatchable distributed generators but the uncertainties of renewable energy and volatile demands are considered, which are tackled via stochastic programming approach in the second stage. Two convexified DistFlow formulations for the branch flow in a DSO are tested and compared in this work. The proposed framework can be effectively solved by a generalized multi-cut L-shaped method. Numerical experiments on test systems support the efficacy of this paradigm.