Distribution-Level Robust Energy Management of Power Systems Considering Bidirectional Interactions With Gas Systems

Due to increasing penetration of variable and uncertain distributed renewable generation, as well as stronger interdependency with gas systems facilitated by the deployment of gas-fired units and power-to-gas (P2G) facilities, the secure and economic energy management (EM) of the power distribution networks (PDNs) has become more challenging. Most existing works on the EM problem of the PDN either neglect the interactions of the PDN with other energy systems or aggregate them as one. In this paper, a tri-level model of the EM problem of the PDN is proposed, where the bidirectional physical and economic interactions with the gas system are considered. Specifically, the physical interaction is simulated by incorporating the gas system operation constraints, and the economic interaction is realized by modeling the gas contracting mechanism. A quadruple-loop solution procedure is developed for the proposed tri-level EM model, including two column-and-constraint (C&CG) loops for the two-stage decision-making framework, and two sequential mixed integer second-order cone program (S-MISOCP) loops to enhance the solution feasibility with respect to the nonconvex power flow and Weymouth equations. The effectiveness of the proposed model and solution methodology are verified by simulation results of several moderate test systems.