Application of distributed consensus algorithm to maximize social welfare in a micro grid}{Application of distributed consensus algorithm to maximize social welfare in a micro grid

Abstract

Micro grid is a new network structure, which consists of a variety of distributed energy sources, and the problem of maximizing social welfare by optimizing the micro grid is extensive. By considering the electricity constraints (power generation and electricity supply) and the lack of renewable energy, a distributed consensus algorithm, based on the logarithmic barrier penalty function, is proposed to solve the problem of maximizing social welfare, which could reduce the cost of the micro network and allow users to gain maximum benefit. The accuracy and stability of this algorithm is proved in this paper. The use of flywheel energy-storage system overcomes the instability and intermittent operation of the renewable energy generator. The simulation results show that in a single adjustment cycle, the proposed algorithm has a good performance in achieving the optimal goal of overcoming all kinds of restrictions. In a multiple adjustment cycle, by considering the renewable energy generators with time-varying capacities, the algorithm could find a stable and accurate optimization solution, in a relatively short period. Moreover, the fluctuation and small amplitude mismatch of the micro grid, caused by the algorithm during optimization, will not have any significant effect on the stability of the micro grid.