Distributed constrained optimization by singular perturbation method and its application to energy networks by real-time implementation. (September 2021)

• Record Type: Journal Article
• Authors: Hoang, Phuong H.; Ozkan, Gokhan; Badr, Payam Ramezani; Papari, Behnaz; Edrington, Christopher S.
• Is Part Of: Sustainable energy, grids and networks. Volume 27(2021)
• Publication Date: 2021-09
• Subjects: Distributed optimization -- Constrained optimization -- Singular perturbation -- Real-time implementation; Renewable energy sources -- Periodicals; Smart power grids -- Periodicals; Electric power systems -- Periodicals; 333.794
• DOI: 10.1016/j.segan.2021.100473
• Languages: English
• ISSNs: 2352-4677

Abstract

Abstract: This paper proposes a new algorithm to a distributed constrained optimization problem with an undirected and connected network. The singular perturbation, dynamic average consensus, and saddle point dynamics methods are utilized to construct a dynamical system to seek global optimality. The theoretical guarantee on the optimality of the solutions is provided as it is proved that the constructed system is semi-globally practically asymptotically stable. The algorithm is further validated by an experiment on controller boards with real-time communication to apply the proposed algorithm to the IEEE 5 bus system. The experimental results demonstrate the efficiency and practical usage of the new algorithm.