分布式优化在智能电网经济调度问题中的应用  

Application of Distributed Optimization Method to Economic Dispatch in Smart Grid

作　　者：谢洋 王慧 陈国荣 邓世琴 韩琦 XIE Yang;WANG Hui;CHEN Guo-rong;DENG Shi-qin;HAN Qi(School of Mathematical Science,Chongqing Normal University,Chongqing 401331,China;School of Intelligent Technology and Engineering,Chongqing University of Science and Technology,Chongqing 401331,China)

机构地区：[1]重庆师范大学数学科学学院,重庆401331 [2]重庆科技学院智能技术与工程学院,重庆401331

出　　处：《重庆工商大学学报（自然科学版）》2020年第2期42-47,共6页Journal of Chongqing Technology and Business University:Natural Science Edition

基　　金：教育部人文社会科学研究青年基金项目(19YJCZH047);重庆市技术创新与应用示范项目(社会民生类重点研发项目);重庆市安全生产大数据关键技术研究及应用示范(CSTC2018JSCX-MSZDX0118);重庆市教育委员会科学技术研究项目(KJZD-K201901504,KJQN201901537).

摘　　要：为了减少智能电网中节点之间信息交换的需求,降低智能电网的发电成本和用户的用电消费,提出了一种时变拓扑下的分布式优化算法,用以寻找经济调度问题的最优解;结合图论的相关理论,将节点之间的信息交换用时变无向图表示,并根据光滑精确罚函数的思想,简化经济调度问题,将优化问题中的不等式约束整理到目标函数中,从而得到一个只含有等式约束的新的优化问题,随后通过调整参数值求得最优值,因为算法考虑了每个节点的容量约束,所以在实际应用中具有更好的普适性;证明了当全局目标函数取得最小值时,各个节点共同达到最优解,最后通过实例验证了算法的有效性和可行性。In order to reduce the need of information exchange between nodes in smart grid and reduce the power generation cost and user consumption cost of smart grid,a distributed optimization algorithm based on time-varying topology is proposed to find the optimal solution of economic scheduling problem.Based on the related theory of graph theory,the information exchange between the nodes is expressed by time-varying undirected graph,and economic dispatch problem is simplified by the idea of smooth exact penalty function.The inequality constraint in optimized problem is integrated into objective function so that a new optimization problem only containing equality constraint is obtained,and the optimal value is received through adjusting parameter value.Because this algorithm considers the capacity constraint of each node,it has better universality in practical application.In addition,it is proved that all nodes reach the optimal solution together when the global objective function takes the minimum value.Finally,the validity and feasibility of this algorithm are verified by the example.

关 键 词：分布式优化 精确罚函数 经济调度 智能电网 

分 类 号：O224[理学—运筹学与控制论]