基于渗流理论的电力CPS网络风险传播阈值确定方法

曲朝阳; 赵腾月; 张玉; 曲楠; 刘宇晴; 孙建

doi:10.7500/AEPS20190227002

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基于渗流理论的电力CPS网络风险传播阈值确定方法

信息能源系统 | 更新时间：2025-06-16

- 基于渗流理论的电力CPS网络风险传播阈值确定方法
- A Method for Determining Risk Propagation Threshold of Power Cyber Physical System Network Based on Percolation Theory
- 电力系统自动化-方正平台 2020年44卷第4期页码：16-23
- 作者机构：
  
  1. 东北电力大学计算机学院,吉林省吉林市 132012
  2. 吉林省电力大数据智能处理工程技术研究中心,吉林省吉林市 132012
  3. 浙江运达风电股份有限公司,浙江省杭州市 310012
  4. 国网江苏省电力有限公司检修分公司,江苏省南京市 211102
  5. 英国巴斯大学电气工程学院,巴斯 BA26PS,英国
  6. 国网吉林省电力有限公司,吉林省长春市 130021
- 作者简介：
  
  曲朝阳(1964—),男,博士,教授,主要研究方向:智能信息处理、智能用电、电力信息化。E-mail:quzhaoyangnedu@ qq.com
  赵腾月(1995—),女,硕士研究生,主要研究方向:电力信息物理系统、复杂网络。E-mail:1273225109@qq.com
  张玉(1991—),男,通信作者,硕士研究生,主要研究方向:电力信息物理系统、复杂网络。E-mail:zhagxiujade@163.com
- 基金信息：
  
  Key Program of National Natural Science Foundation of China(51437003);Science and Technology Development Plan of Jilin Province(20180201092GX)
- DOI：10.7500/AEPS20190227002
  中图分类号：
- 收稿日期：2019-02-27，
  
  修回日期：2019-07-15，
  
  网络出版日期：2019-10-29，
  
  纸质出版日期：2020-02-25
- 稿件说明：
移动端阅览
曲朝阳,赵腾月,张玉等.基于渗流理论的电力CPS网络风险传播阈值确定方法[J].电力系统自动化,2020,44(04):16-23.

QU Zhaoyang,ZHAO Tengyue,ZHANG Yu,et al.A Method for Determining Risk Propagation Threshold of Power Cyber Physical System Network Based on Percolation Theory[J].Automation of Electric Power Systems,2020,44(04):16-23.
曲朝阳,赵腾月,张玉等.基于渗流理论的电力CPS网络风险传播阈值确定方法[J].电力系统自动化,2020,44(04):16-23. DOI： 10.7500/AEPS20190227002.

QU Zhaoyang,ZHAO Tengyue,ZHANG Yu,et al.A Method for Determining Risk Propagation Threshold of Power Cyber Physical System Network Based on Percolation Theory[J].Automation of Electric Power Systems,2020,44(04):16-23. DOI： 10.7500/AEPS20190227002.

摘要

由于电力信息物理系统(CPS)网络的非均匀性及风险传播过程的动态性

使得风险爆发的临界点难以数值确定。从相依网络视角出发

提出一种基于渗流理论的电力CPS网络风险传播阈值确定方法。首先

根据拓扑关联和耦合逻辑将电力CPS网络抽象为双层复杂网络有向图

并采用非对称balls-into-bins分配方法建立“一对多”及“部分耦合”的非均匀电力CPS表征模型。然后

考虑信息层与物理层链接之间的方向性及依赖关系

引入渗流概率对各层内部耦合关系建立传播动力学方程。最后

通过定义电力CPS网络节点的生存函数对风险传播阈值进行数值求解

并以IEEE 30节点系统和150节点的Barabsi-Albert模型算例验证了所述方法的有效性。

Abstract

Due to the inhomogeneity of power cyber physical system (CPS) network and the dynamics of risk propagation process

it is difficult to determine the critical point of risk outbreak. From the perspective of dependent network

this paper proposes a method for determining the risk propagation threshold of power CPS network based on percolation theory. Firstly

according to topological association and coupling logic

the power CPS network is abstracted as a dual layer complex network with directed unauthorized graph. Asymmetric balls-into-bins distribution method is used to establish “one to many” and “partial coupling” CPS characterization models for non-uniform electric power. Then

considering the directionality between information layer and physical layer links

the percolation probability is introduced to establish the propagation dynamic equation for internal coupling relationship of each layer. Finally

the risk propagation threshold is solved by defining the survival function of the nodes in power CPS network

and the effectiveness of the proposed method is verified by an example of IEEE 30-bus system and 150-bus Barabsi-Albert model.

关键词

Keywords

references

刘东 , 盛万兴 , 王云 , 等 . 电网信息物理系统的关键技术及其进展 [J]. 中国电机工程学报 , 2015 , 35 ( 14 ): 3522 - 3531 .

LIU Dong , SHENG Wanxing , WANG Yun , et al . Key technologies and trends of cyber physical system for power grid [J]. Proceedings of the CSEE , 2015 , 35 ( 14 ): 3522 - 3531 .

汤奕 , 王琦 , 倪明 , 等 . 电力信息物理融合系统中的网络攻击分析 [J]. 电力系统自动化 , 2016 , 40 ( 6 ): 148 - 151 .

TANG Yi , WANG Qi , NI Ming , et al . Analysis of cyber attacks in cyber physical power system [J]. Automation of Electric Power Systems , 2016 , 40 ( 6 ): 148 - 151 .

郭庆来 , 辛蜀骏 , 孙宏斌 , 等 . 电力系统信息物理融合建模与综合安全评估:驱动力与研究构想 [J]. 中国电机工程学报 , 2016 , 36 ( 6 ): 1481 - 1489 .

GUO Qinglai , XIN Shujun , SUN Hongbin , et al . Power system cyber-physical modelling and security assessment:motivation and ideas [J]. Proceedings of the CSEE , 2016 , 36 ( 6 ): 1481 - 1489 .

刘涤尘 , 冀星沛 , 王波 , 等 . 基于复杂网络理论的电力通信网拓扑脆弱性分析及对策 [J]. 电网技术 , 2015 , 39 ( 12 ): 3615 - 3621 .

LIU Dichen , JI Xingpei , WANG Bo , et al . Topological vulnerability analysis and countermeasures of electrical communication network based on complex network theory [J]. Power System Technology , 2015 , 39 ( 12 ): 3615 - 3621 .

李永 , 方锦清 , 刘强 . 连续渗流网络模型特性 [J]. 复杂系统与复杂性科学 , 2010 , 7 ( 增刊1 ): 97 - 103 .

LI Yong , FANG Jinqing , LIU Qiang . Characteristics of continuum percolation evolving network [J]. Complex Systems and Complexity Science , 2010 , 7 (Supplement 1 ): 97 - 103 .

王伟 , 舒盼盼 , 唐明 , 等 . 网络传播动力学模拟方法评述 [J]. 电子科技大学学报 , 2016 , 45 ( 2 ): 288 - 294 .

WANG Wei , SHU Panpan , TANG Ming , et al . Simulation methods for spreading dynamics on networks:a recitation [J]. Journal of University of Electronic Science and Technology of China , 2016 , 45 ( 2 ): 288 - 294 .

DURRETT R , GLEESON J P , LLOYD A L , et al . Graph fission in an evolving voter model [J]. Proceedings of the National Academy of Sciences of the United States of America , 2012 , 109 ( 10 ): 3682 - 3687 .

杨孟 , 傅新楚 , 吴庆初 . 复杂网络上带传播媒介SIS模型的全局稳定性 [J]. 系统工程学报 , 2010 , 25 ( 6 ): 767 - 772 .

YANG Meng , FU Xinchu , WU Qingchu . Global stability of SIS epidemic model with infective medium on complex networks [J]. Journal of Systems Engineering , 2010 , 25 ( 6 ): 767 - 772 .

MILLER J C , VOLZ M E . Edge-based compartmental modeling for disease and population structure [J]. Eprint Arxiv , 2011 , 9 ( 70 ): 890 - 906 .

冀星沛 , 王波 , 刘涤尘 , 等 . 相依网络理论及其在电力信息-物理系统结构脆弱性分析中的应用综述 [J]. 中国电机工程学报 , 2016 , 36 ( 17 ): 4521 - 4533 .

JI Xingpei , WANG Bo , LIU Dichen , et al . Review on interdependent networks theory and its applications in the structural vulnerability analysis of electrical cyber-physical system [J]. Proceedings of the CSEE , 2016 , 36 ( 17 ): 4521 - 4533 .

郏琨琪 , 何光宇 . 智能用电网络数据采集与通信机制的研究 [J]. 中国电机工程学报 , 2016 , 36 ( 6 ): 1544 - 1551 .

JIA Kunqi , HE Guangyu . Research of smart electric appliance network data collection and communication mechanism [J]. Proceedings of the CSEE , 2016 , 36 ( 6 ): 1544 - 1551 .

赵俊华 , 文福拴 , 薛禹胜 , 等 . 电力信息物理融合系统的建模分析与控制研究框架 [J]. 电力系统自动化 , 2011 , 35 ( 16 ): 1 - 8 .

ZHAO Junhua , WEN Fushuan , XUE Yusheng , et al . Modeling analysis and control research framework of cyber physical power systems [J]. Automation of Electric Power Systems , 2011 , 35 ( 16 ): 1 - 8 .

曲朝阳 , 张艺竞 , 辛鹏 , 等 . 基于超图的能源互联网最小能量损耗路由算法 [J]. 东北电力大学学报(自然科学版) , 2017 , 37 ( 6 ): 93 - 99 .

QU Zhaoyang , ZHANG Yijing , XIN Peng , et al . An energy internet routing algorithm on hypergraph based minimum-energy loss [J]. Journal of Northeast Dianli University (Natural Science Edition) , 2017 , 37 ( 6 ): 93 - 99 .

CHEN Chuibo , YANG Chun , SHI Xiaohong , et al . The percolation process via a sinusoidal probability modulation [C]// IEEE International Conference on Communiction Problem-solving , December 5 - 7 , 2014 , Beijing, China: 528 - 531 .

李田 , 苏盛 , 杨洪明 , 等 . 电力信息物理系统的攻击行为与安全防护 [J]. 电力系统自动化 , 2017 , 41 ( 22 ): 162 - 167 .

LI Tian , SU Sheng , YANG Hongming , et al . Attacks and cyber security defense in cyber-physical power system [J]. Automation of Electric Power Systems , 2017 , 41 ( 22 ): 162 - 167 .

曹一家 , 陈彦如 , 曹丽华 , 等 . 复杂系统理论在电力系统中的应用研究展望 [J]. 中国电机工程学报 , 2012 , 32 ( 19 ): 1 - 9 .

CAO Yijia , CHEN Yanru , CAO Lihua , et al . Prospects of studies on application of complex system theory in power systems [J]. Proceedings of the CSEE , 2012 , 32 ( 19 ): 1 - 9 .

RUJ S , PAL A . Analyzing cascading failures in smart grids under random and targeted attacks [EB/OL]. [ 2019-01-01 ]. http://www.cse.iitd.ernet.in/~arindamp/talks/Smart-Grid.pdf http://www.cse.iitd.ernet.in/~arindamp/talks/Smart-Grid.pdf .

ALBERT R , ALBERT I , NAKARADO G L . Structural vulnerability of the North American power grid [J]. Physical Review E ， Statistical ， Nonlinear & Soft Matter Physics , 2004 , 69 ( 2 ): 025103 .

皇甫先鹏 , 罗雪山 . 基于非对称balls-into-bins的高效平衡负载分配模型 [J]. 国防科技大学学报 , 2013 , 35 ( 3 ): 67 - 71 .

HUANGFU Xianpeng , LUO Xueshan . An efficient and balanced load allocation model based on non-uniform balls-into-bins [J]. Journal of National University of Defense Technology , 2013 , 35 ( 3 ): 67 - 71 .

吴润泽 , 张保健 , 唐良瑞 . 双网耦合模型中基于级联失效的节点重要度评估 [J]. 电网技术 , 2015 , 39 ( 4 ): 1053 - 1058 .

WU Runze , ZHANG Baojian , TANG Liangrui . A cascading failure based nodal importance evaluation method applied in dual network coupling model [J]. Power System Technology , 2015 , 39 ( 4 ): 1053 - 1058 .

张娟 , 童晓阳 , 姜建伟 . 基于渗流和风险理论的电力系统连锁故障分析 [J]. 电力系统自动化 , 2017 , 41 ( 5 ): 46 - 52 .

ZHANG Juan , TONG Xiaoyang , JIANG Jianwei . Analysis on power system cascading failure based on percolation and risk theory [J]. Automation of Electric Power Systems , 2017 , 41 ( 5 ): 46 - 52 .

韩宇奇 , 郭创新 , 朱炳铨 , 等 . 基于改进渗流理论的信息物理融合电力系统连锁故障模型 [J]. 电力系统自动化 , 2016 , 40 ( 17 ): 30 - 37 .

HAN Yuqi , GUO Chuangxin , ZHU Bingquan , et al . Model cascading failures in cyber physical power system based on improved percolation theory [J]. Automation of Electric Power Systems , 2016 , 40 ( 17 ): 30 - 37 .

KONG Z , YEH E M . Correlated and cascading node failures in random geometric networks: a percolation view [C]// Fourth International Conference on Ubiquitous and Future Networks, July 4-6 , 2012 , Phuket , Thailand .

HUANG Zhen , WANG Cheng , NAYAK A , et al . Small cluster in cyber physical systems: network topology, interdependence and cascading failures [J]. IEEE Transactions on Parallel and Distributed Systems , 2015 , 26 ( 8 ): 2340 - 2351 .

BULDYREV S V , PARSHANI R , PAUL G , et al . Catastrophic cascade of failures in interdependent networks [J]. Nature , 2010 , 464 ( 7291 ): 1025 - 1028 .

HUANG Xuqing , GAO Jianxi , BULDYREV S V , et al . Robustness of interdependent networks under targeted attack [J]. Physical Review E , Statistical , Nonlinear , and Soft Matter Physics , 2011 , 83 ( 6 ): 778 - 804 .

谢丰 , 程苏琦 , 陈冬青 , 等 . 基于级联失效的复杂网络抗毁性 [J]. 清华大学学报(自然科学版) , 2011 , 51 ( 10 ): 1252 - 1257 .

XIE Feng , CHENG Suqi , CHEN Dongqing , et al . Cascade based attack vulnerability in complex networks [J]. Journal of Tsinghua University(Science and Technology) , 2011 , 51 ( 10 ): 1252 - 1257 .

高洋 , 马洋洋 , 张亮 , 等 . 伴随随机攻击的信息物理系统的同步控制 [J]. 清华大学学报(自然科学版) , 2018 , 58 ( 1 ): 14 - 19 .

GAO Yang , MA Yangyang , ZHANG Liang , et al . Synchronization control of cyber physical systems during malicious stochastic attacks [J]. Journal of Tsinghua University (Science and Technology) , 2018 , 58 ( 1 ): 14 - 19 .

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