基于事件触发机制的分布式经济调度加速优化算法  

Distributed event-triggered accelerated optimization algorithm for solving smart grid economic dispatch problem on directed unbalanced communication topology

作　　者：纪良浩[1] 翟盼盼 李华青 JI Liang-hao;ZHAI Pan-pan;LI Hua-qing(Chongqing Key Laboratory of Image Cognition,Chongqing University of Posts and Telecommunications,Chongqing 400065,China;College of Electronic and Information Engineering,Southwest University,Chongqing 400715,China)

机构地区：[1]重庆邮电大学图像认知重庆市重点实验室,重庆400065 [2]西南大学电子与信息工程学院,重庆400715

出　　处：《控制与决策》2025年第4期1217-1227,共11页Control and Decision

基　　金：国家自然科学基金项目(62276036);重庆市教委重大科技项目(KJZD-M202100602)。

摘　　要：研究有向不平衡通信拓扑下智能电网的经济调度问题,提出一种新颖的分布式优化算法,其目的是通过有效调度发电机组的输出功率,以最大限度地降低系统总发电成本.该算法通过引入动量项,确保发电机能够从其自身和邻居处获取更多先前的历史信息,从而在更短的时间内实现收敛.算法中动量项和步长是时变的,因此算法的执行效率更高.为了避免智能体间的连续通信,算法考虑一种新的事件触发条件,其关键参数选择简单,且智能体只在触发时刻向其邻居传输信息.基于成本函数的假设(平滑性和强凸性),通过理论分析表明,当最大步长和最大动量项系数在其限制范围内时,该方法可以实现最优调度.最后通过数值实例进一步验证所提出算法的优越性和正确性.This paper investigates the economic dispatch problem in smart grids over an unbalanced directed graph and proposes a novel distributed optimization algorithm.It aims to minimize the total power generation cost by efficiently dispatching the output power of generator units.By introducing a momentum term,the algorithm ensures that the generator can obtain more previous historical information from itself and its neighbors,so as to achieve convergence in a shorter time.The momentum term and the step size in the algorithm are time-varying,making the execution of the algorithm more efficient.To avoid continuous communication between agents,the algorithm considers a new eventtriggered condition with a simple choice of key parameters,and the agent only transmit information to their neighbors at the triggering time.Based on the assumptions of the cost functions(smoothness and strong convexity),the theoretical analysis proves that when the largest step-size and maximum momentum coefficient are within their limits,the method can achieve optimal dispatch.Finally,the superiority and correctness of the proposed algorithm is further demonstrated by several numerical examples.

关 键 词：多智能体系统 智能电网 经济调度 事件触发机制 分布式优化 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]