第15卷第3期 智能系统学报 Vol.15 No.3 2020年5月 CAAI Transactions on Intelligent Systems May 2020 D0L:10.11992/tis.201812034 受成本约束的电力信息-物理相依系统鲁棒性优化设计 陈世明，马斐，高彦丽 (华东交通大学电气与自动化工程学院，江西南昌330013) 摘要：针对复杂网络视角，考虑到电力网络存在扩建等现实问题，研究受成本约束下如何增设站点从而优化 负荷分布、改善系统的鲁棒性。基于华中地区某省电力网的拓扑结构数据，构建了电力网与信息网部分一一对 应的相依网络模型，并采用非线性负载-容量模型作为系统的级联失效模型。考虑实际电力网中超前规划新增 厂站的现实情况，提出4种可能的增设电力节点及其信息设备对应的节点配置优化策略，并对华中某省电力网 及EEE118总线的电力信息-物理系统在4种节点配置策略下的电力负荷优化及系统鲁棒性进行仿真及分 析。仿真结果表明：以配置的物理节点连接网络中大电力负荷及小电力负荷节点为基准时，仅需配置较少的节 点就能达到既定的优化度。本结论对于电力系统在建设与规划过程中将有限资源进行较优分配具有一定的指 导意义。 关键词：复杂网络理论；电力信息物理系统：相互依存网络；节点配置优化：电力负荷优化；鲁棒性；成本约束 中图分类号：TM73文献标志码：A文章编号：1673-4785(2020)03-0623-10 中文引用格式：陈世明，马斐，高彦丽.受成本约束的电力信息-物理相依系统鲁棒性优化设计.智能系统学报，2020， 15(3):623-632. 英文引用格式：CHEN Shiming,.MA Fei,,GAO Yanli..Robust optimization design of an electrical cyber-physical system based on constrained cost[J].CAAI transactions on intelligent systems,2020,15(3):623-632. Robust optimization design of an electrical cyber-physical system based on constrained cost CHEN Shiming,MA Fei,GAO Yanli (School of Electrical and Automation Engineering,East China Jiaotong University,Nanchang 330013,China) Abstract:In view of the complexity of networks and considering the practical problems,such as power network expan- sion,encountered by networks,this study proposes procedures on how to set up additional stations to optimize load dis- tribution and improve the robustness of a power system under cost constraints.First,the topological structure data of a province in the Central China power grid is used to build a sectional one-to-one coupled interdependent network model of power grid and cyber network.Then,the nonlinear load-volume model is used as the cascading failure model of the system.Given the actual situation of planning the installation of new substations in the power grid,four possible node addition strategies for the newly added power node and its cyber equipment are proposed.Moreover,simulation and analysis of the power cyber-physical system of a province in the Central China power grid and the IEEE 118 Bus Sys- tem were conducted on the basis of the four strategies in terms of network robustness and power-load optimization.The simulation results show that,when taking the new node connected to the maximum and minimum power-load nodes in the existing network as the reference,the required robust optimization can be achieved with only a few configured nodes.The test results have certain guiding significance for the optimal allocation of limited resources in the construc- tion and planning of a power system. Keywords:complex network theory;electrical cyber-physical system;interdependent network;node configuration op- timization;power-load optimization,robustness,constraints cost 随着通信技术、计算机技术和控制技术的广 收稿日期：2018-12-29 基金项目：国家自然科学基金项目(11662002). 泛应用，传统的电力系统已发展为与信息网紧密 通信作者：陈世明.E-mail:shmchen@ecjtu.jx.cn 结合的电力信息-物理系统(electrical cyber phys-DOI: 10.11992/tis.201812034 受成本约束的电力信息−物理相依系统鲁棒性优化设计 陈世明，马斐，高彦丽 （华东交通大学 电气与自动化工程学院，江西 南昌 330013） 摘 要：针对复杂网络视角，考虑到电力网络存在扩建等现实问题，研究受成本约束下如何增设站点从而优化 负荷分布、改善系统的鲁棒性。基于华中地区某省电力网的拓扑结构数据，构建了电力网与信息网部分一一对 应的相依网络模型，并采用非线性负载−容量模型作为系统的级联失效模型。考虑实际电力网中超前规划新增 厂站的现实情况，提出 4 种可能的增设电力节点及其信息设备对应的节点配置优化策略，并对华中某省电力网 及 IEEE 118 总线的电力信息−物理系统在 4 种节点配置策略下的电力负荷优化及系统鲁棒性进行仿真及分 析。仿真结果表明：以配置的物理节点连接网络中大电力负荷及小电力负荷节点为基准时，仅需配置较少的节 点就能达到既定的优化度。本结论对于电力系统在建设与规划过程中将有限资源进行较优分配具有一定的指 导意义。 关键词：复杂网络理论；电力信息-物理系统；相互依存网络；节点配置优化；电力负荷优化；鲁棒性；成本约束 中图分类号：TM73 文献标志码：A 文章编号：1673−4785(2020)03−0623−10 中文引用格式：陈世明, 马斐, 高彦丽. 受成本约束的电力信息−物理相依系统鲁棒性优化设计 [J]. 智能系统学报, 2020, 15(3): 623–632. 英文引用格式：CHEN Shiming, MA Fei, GAO Yanli. Robust optimization design of an electrical cyber-physical system based on constrained cost[J]. CAAI transactions on intelligent systems, 2020, 15(3): 623–632. Robust optimization design of an electrical cyber-physical system based on constrained cost CHEN Shiming，MA Fei，GAO Yanli (School of Electrical and Automation Engineering, East China Jiaotong University, Nanchang 330013, China) Abstract: In view of the complexity of networks and considering the practical problems, such as power network expan￾sion, encountered by networks, this study proposes procedures on how to set up additional stations to optimize load dis￾tribution and improve the robustness of a power system under cost constraints. First, the topological structure data of a province in the Central China power grid is used to build a sectional one-to-one coupled interdependent network model of power grid and cyber network. Then, the nonlinear load–volume model is used as the cascading failure model of the system. Given the actual situation of planning the installation of new substations in the power grid, four possible node addition strategies for the newly added power node and its cyber equipment are proposed. Moreover, simulation and analysis of the power cyber-physical system of a province in the Central China power grid and the IEEE 118 Bus Sys￾tem were conducted on the basis of the four strategies in terms of network robustness and power–load optimization. The simulation results show that, when taking the new node connected to the maximum and minimum power–load nodes in the existing network as the reference, the required robust optimization can be achieved with only a few configured nodes. The test results have certain guiding significance for the optimal allocation of limited resources in the construc￾tion and planning of a power system. Keywords: complex network theory; electrical cyber-physical system; interdependent network; node configuration op￾timization; power-load optimization; robustness; constraints cost 随着通信技术、计算机技术和控制技术的广 泛应用，传统的电力系统已发展为与信息网紧密 结合的电力信息−物理系统[1] (electrical cyber phys- 收稿日期：2018−12−29. 基金项目：国家自然科学基金项目 (11662002). 通信作者：陈世明. E-mail：shmchen@ecjtu.jx.cn. 第 15 卷第 3 期 智 能 系 统 学 报 Vol.15 No.3 2020 年 5 月 CAAI Transactions on Intelligent Systems May 2020