Three‐based level model to determine optimal scheduling of the MG integrated operation using Benders decomposition

Abstract

In this study, an optimal scheduling model is proposed to perform energy management in a microgrid (MG) including distributed energy resources in both grid-connected and islanded modes. To this end, a tri-level optimization model has been presented, in which Benders method decomposes the original problem into the main problem (the first level), sub-problem (SP) (the second level) and optimal SP (the third level). The first and second levels model the MG operation in grid-connected and islanded modes, respectively. Finally, the third level directs the obtained feasible solution of the second level to an optimal solution in the islanded mode. In the proposed model, the effect of an adjacent MG is also considered, and a call-option contract is used to model the transaction power between networked MG. While it is assumed that they are connected to each other, they only exchange power in the islanded mode to prevent the arbitrage state. The aim of the proposed model is to present a flexible and integrated operation of the MG, which has the ability to work in both grid connected and island modes. Uncertainties of the problem are modelled using the two-point estimation method (2 m + 1).