A Distributed Algorithm for Economic Dispatch Problem in Multi-energy Systems

The multi-energy system (MES) takes into account different forms of energy such as electricity, heat, and gas, and coordinate the different processes from the side of supply to demand. It truly realizes the mutual complementation of multiple energy resources and can greatly improve the flexibility and efficiency compared to traditional energy systems. In this paper, we study the economic dispatch (ED) problem in the MES aiming to minimize both generation and pollution cost. A distributed method via the symmetric alternating direction multiplier method (symmetric-ADMM) is proposed to deal with non-convex factors caused by coupling between different energy sources. Through the dynamic consensus mechanism and the variational inequality, we prove that the proposed algorithm has the convergence rate of $\mathcal{O}\left( {\frac{1}{t}} \right)$. The effectiveness of the proposed algorithm is verified by simulations on the IEEE 24-bus system.