基于快速一致性的分布式经济调度算法

Afast consensus-based distributed economic dispatch algorithm

中文关键词  一致性  动量加速  经济调度  耦合约束

英文关键词  consensus  momentum acceleration  economic dispatch  coupled constraint

中文摘要

      随着“双碳”目标实施,我国电力系统新能源发电单元占比逐渐升高.分布式智能电网通过集成智能感知、 通信、决策和控制技术,实现源网荷储充之间的协同运行,进而形成更加高效、稳定和可靠的电力系统.在新型电力 系统下,经济调度问题呈现较强分布式特性.分布式经济调度旨在通过各发电单元间的信息交互,实现供需约束和 功率约束下的成本最优发电分配方案.本文利用基于动量加速的精确一阶一致性跟踪技术实现耦合等式约束对偶 变量的快速获取,并利用投影算子实现对偶变量和发电单元输出功率的映射.最终实现发电成本最优的同时满足 系统耦合约束和不等式局部约束.本文借助凸优化理论和矩阵收缩理论证明所设计算法的收敛性.与已有算法相 比, 本文所设计算法仅交互一个变量信息,且算法控制参数取值范围仅与成本函数强凸系数相关.最后,通过两组仿 真案例验证了本文所设计算法的有效性和快速性.

英文摘要

      Along with the implementation of the “double carbon” goal, the proportion of new energy power generation units in the power system has gradually increased. Distributed smart grids achieve coordinated operation between source, grid, load, storage, and charging by integrating intelligent sensing, communication, decision-making, and control tech niques. This will form a more efficient, stable, and reliable power system. Under the new power system, economic dispatch problems show strong distributed characteristics. Distributed economic dispatch seeks to balance supply and demand con straints, and distribute power by facilitating information exchange among power generation units. It focuses on achieving a cost-efficient allocation of power generation under specified constraints. This paper employs a precise first-order con sensus tracking method with momentum acceleration to quickly obtain dual variables for the equality constraints. It then utilizes projection operators for mapping these dual variables to power allocation to attain the lowest power generation cost s while adhering to system coupling constraints and local inequality restrictions. Convex optimization theory and matrix contraction mapping are adopted to demonstrate the convergence of the proposed algorithm. Unlike existing methods, our developed approach requires each agent to exchange only a single dual variable with its neighboring agents, and moreover, the choice of control parameter depends solely on the strongly convex coefficient. Two simulation scenarios are presented to validate the efficiency and convergence rate of the algorithm developed in this study.