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基于梯度下降和一致性的电网分布式经济调度算法

Distributed algorithm for economic dispatch based on gradient descent and consensus in power grid
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摘要 本文针对电网中的经济调度问题,提出了基于梯度下降和一致性协议的分布式优化算法,以最小化总的发电成本.该算法不需要将全局信息传递给每条母线的控制单元,仅需要在相互连通的母线之间进行局部信息的交换以此来平衡电力的供应和需求.通过理论分析.得出可通过选择合适的步长和初值使该算法收敛到原问题的最优解,进而通过以IEEE9母线系统为例的仿真证实了所提出的算法的有效性. This study aims to propose; a distributed problem encountered in power grids with the ultimate optimization algorithm to solve the economic dispatch objective of minimizing the total generation cost. The proposed approach is based on the gradient descent method and the consensus protocol. No central unit was required to broadcast the global information to each bust and only local information was exchanged between the neighboring buses to balance power supply and demand. Theoretical analysis revealed that the proposed algorithm can converge to the optimal solution of the primal problem by selecting the appropriate step size and initial values. Simulation studies on the IEEE 9-bus system were conducted to show the validity of the proposed algorithm.
作者 马锴 于洋庆 朱善迎 杨婕 关新平 Kai MA1, Yangqing YU1, Shanying ZHU2, Jie YANG1 , Xinping GUAN2(1. School of Electrical Engineering, Yanshan University, Qinhuangdao 066004, China; 2. School of Electronic Information and Electrical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China)
出处 《中国科学:信息科学》 CSCD 北大核心 2018年第10期1364-1380,共17页 Scientia Sinica Informationis
基金 国家重点研发计划(批准号:2016YFB0901900)和国家自然科学基金(批准号:61573303,61503324)资助项目
关键词 经济调度 分布式算法 梯度下降法 一致性算法 通信拓扑 economic dispatch distributed algorithms gradient descent method consensus algorithm communication topology
作者简介 Kai MA received his B.E. degree in Automation and Ph.D. degree in control science and engineering from Yanshan University, China, in 2005 and 2011, respectively. In 2011, he joined Yanshan University. From 2013 to 2014, he was a postdoctoral research fellow at the Nanyang Technological University, Singapore. He is currently an associate professor with the Department of Automation, School of Electrical Engineering, Yanshan University, China. His research interests include demand responses in smart grids and resource allocation in communication networks.;Yangqing YU received her B.Eng. degree in automation from the University of Science and Technolog,y Liaoning in 2015. She is currently pursuing her master's degree in control theory and control engineering at the Yanshan University. Her research interests include demand response and economic dispatch in smart grids.;通信作者.E—mail:shyzhu@sjtu.edu.cn.Shanying ZHU received his B.S. degree in information and computing science from the North China University of Water Resources and Electric Power, Zhengzhou, China, in 2006. In 2008, he received his M.S. degree in applied mathematics from the Huazhong University of Science and Technology, Wuhan, China; and the Ph.D. degree in control theory and control engineering from the Shanghai Jiao Tong University, Shanghai, China, in 2013. From 2013 to 2015, he served as a research fellow at the School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore and the Berkeley Education Alliance for Research, Singapore. He is currently an associate professor in the Department of Automation, Shanghai Jiao Tong University, China. His research interests include on multi-agent systems and industrial control systems, particularly the coordination control of mobile robots and distributed estimation and optimization in sensor networks.;通信作者.E-mail:jyangysu@ysu.edu.cn.Jie YANG received her B.Eng. degree in electrical engineering and automation and her master's degree in control
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