Algorithms for Optimal Topology Design, Placement, Sizing and Operation of Distributed Energy Resources in Resilient Off-grid Microgrids

Power distribution in remote communities often depends on off-grid microgrids. In order to address the reliability challenges for these microgrids, we develop a mathematical model for topology design, capacity planning, and operation of distributed energy resources in microgrids that includes N-1 security analysis. Due to the prohibitive size of the optimization problem, we develop a rolling-horizon algorithm that is combined with scenario-based decomposition to efficiently solve the model. We demonstrate the efficiency of our algorithm on an adapted IEEE test network and a real network from an Alaskan microgrid. We also compare our model's required solution time with commercial solvers and recently developed decomposition algorithms to solve similar problems.