Distributed consensus-based algorithm for social welfare in smart grid with transmission losses

In this paper, we present a distributed consensus-based algorithm to solve the social welfare maximization problem. This is one of typical problems of distributed energy management in smart grid. In this problem, we consider not only the generator and demand, but also the transmission losses which make the feasibility set of the formulated problem a non-convex set. In solving this issue, we find a noticeable result that the primal problem has the same solution with a new convex optimization problem by getting the utmost out of the implied term in practice. Considering the general communication topology among generators and demands, we first design a finite step algorithm to make each generator and demand know the information of parameters of others.Then, we design a distributed algorithm and also prove the optimality and convergence of the proposed algorithm. Finally, the convergence and optimality are examined through extensive simulations.

Nodal, zonal, or uniform electricity pricing： how to deal withnetwork congestion

In this paper, the main contributions to congestion management and electricity pricing, i.e., nodal, zonal, and uniform electricity pricing, are surveyed. The key electricity market concepts are structured and a formal model framework is proposed for electricity transportation, production, and consumption in the context of limited transmission networks and competitive, welfare maximizing electricity markets. In addition, the main results of existing short-run and long-run congestion management studies are explicitly summarized. In particular, the important interconnection between short-run network management approaches and optimal long-run investments in both generation facilities and network lines are highlighted.

Coordinated RES and ESS Planning Framework Considering Financial Incentives Within Centralized Electricity Market

Coordinated investment and operations within renewable portfolio standards is one of the key technologies to meet the renewable energy target and realize the economic operations of the power system.This paper proposes a unified framework of coordinated planning and financial incentives.Joint investment in renewable energy and energy storage and joint optimization of energy and ancillary services are integrated into a unified framework.Various factors are taken into consideration by the social planner in the centralized electricity market,such as the sitting and sizing of renewable energy and energy storage,charge and discharge efficiency of the energy storage,transmission network constraints,reserve capacity,and financial incentives.This framework provides a tool for the social planner to determine the optimal planning scheme of renewable energy and energy storage.The conclusion derived is that the sum of market revenue and financial subsidies of renewable energy and energy storage is exactly equal to their investment cost which is obtained by the Karush-Kuhn-Tucker(KKT)condition of maximizing social welfare problems.A numerical result based on the modified IEEE-39 bus test system demonstrates the effectiveness of the unified framework.The impact of financial incentives,reserve capacity,and production costs on capital investment are studied.