Coordination of Distributed Energy Resources in a Distribution Network via Nonlinear Dual Critical Region Exploration

In this paper, we proposed a novel coordination scheme called Nonlinear Dual Critical Region Exploration (NDCRE) to coordinate the flexibilities of distributed energy resources. Each bus acts as a local agent and can interact with the system operator in the distribution network to realize the joint operation. The proposed NDCRE leverages multi-parametric programming and dual decomposition for efficient information exchange and high decomposable structure. Such a scheme enables a fast finite convergent property in large-scale second-order cone programming, which significantly enhances the solution ability of CRE proposed in [1]. Numerical results verified its effectiveness in complex distribution grid settings.