引用本文:杨飞生,刘佳明,丁瑞森,姬毓明,潘泉.基于半同态加密体制的安全分布式经济调度[J].控制理论与应用,2025,42(9):1711~1720.[点击复制]
YANG Fei-sheng,LIU Jia-ming,DING Rui-sen,JI Yu-ming,PAN Quan.Secure distributed economic dispatch based on semi-homomorphic encryption[J].Control Theory & Applications,2025,42(9):1711~1720.[点击复制]
基于半同态加密体制的安全分布式经济调度
Secure distributed economic dispatch based on semi-homomorphic encryption
摘要点击 3770  全文点击 165  投稿时间：2023-02-25  修订日期：2024-12-03
查看全文  查看/发表评论  下载PDF阅读器   HTML
DOI编号  10.7641/CTA.2024.30084
  2025,42(9):1711-1720
中文关键词  分布式经济调度  隐私保护  半同态加密  时变时延
英文关键词  distributed economic dispatch  privacy preservation  semi-homomorphic encryption  time-varying delay
基金项目  广东省基础与应用基础研究基金项目(2025A1515011730,2023A1515011220),国家自然科学基金项目(62473316)资助.
作者单位E-mail
杨飞生* 西北工业大学深圳研究院 yangfeisheng@nwpu.edu.cn 
刘佳明 西北工业大学深圳研究院  
丁瑞森 西北工业大学深圳研究院  
姬毓明 西北工业大学深圳研究院  
潘泉 西北工业大学自动化学院  
中文摘要
      经济调度是电力系统运行中一个基本而又重要的问题,主要涉及到如何精准调配和管理发电资源,以满足 负载需求,同时尽可能地降低整体发电成本.本文从一致性协议出发,给出了一种基于分布式优化的经济调度算法, 以实现电力系统发电成本的最小化.然后,基于半同态加密的Paillier密码系统,制定了隐私保护方案,既可以保证通 过网络传输的信息不被恶意攻击者获得,又保证了每个节点的隐私数据不被其他节点获取.最后,通过构造Lyapu nov能量泛函,分析了加密解密等行为诱导的时变时延对经济调度模型的影响,导出了兼顾保守性与复杂度的算法 收敛条件,进而通过仿真比较验证了方法的有效性和优越性.
英文摘要
      Economic dispatch (ED) is a basic and important problem in power system operation, which mainly involves how to accurately allocate and manage power generation resources to meet the load demand, while reducing the overall cost of power generation as much as possible. This paper proposes an economic dispatch algorithm based on distributed optimization from the point of view of the consensus protocol to minimize the generation cost of the power system. At the same time, a privacy-preserving scheme is developed based on the Paillier cryptosystem with semi-homomorphic en cryption. This scheme can not only ensure that the information transmitted by the network is not obtained by malicious attackers, but also that the privacy information of each node is not obtained by other nodes. The Lyapunov energy func tional is constructed to analyze the effect of the time-varying delay induced by encryption and decryption on the economic dispatch model, and the convergence condition that makes a tradeoff between conservatism and complexity is derived. The effectiveness and superiority of the method are illustrated by the simulation comparison.