Distributed coordination for optimal energy flow in smart grid networks: High-order polynomial approach

This paper provides a distributed coordination law for energy distribution in smart grid networks. A distributed optimization scheme is designed to meet supply-demand balance in overall network. To impose lower and upper boundaries in energy flow, we use high-order polynomials in the definition of cost functions. By using high-order polynomials, we could develop a distributed optimization scheme taking account of boundaries in energy flow. Through numerical simulations, the validity of the proposed idea is illustrated.