A Method for Determining Risk Propagation Threshold of Power Cyber Physical System Network Based on Percolation Theory

Zhaoyang QU; Tengyue ZHAO; Yu ZHANG; Nan QU; Yuqing LIU; Jian SUN

doi:10.7500/AEPS20190227002

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A Method for Determining Risk Propagation Threshold of Power Cyber Physical System Network Based on Percolation Theory

Cyber Energy Systems | 更新时间：2025-06-16

- A Method for Determining Risk Propagation Threshold of Power Cyber Physical System Network Based on Percolation Theory
- Automation of Electric Power Systems Vol. 44, Issue 4, Pages: 16-23(2020)
- 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：
- 基金信息：
- DOI：10.7500/AEPS20190227002
  CLC：
- Received：27 February 2019，
  
  Revised：2019-07-15，
  
  Published Online：29 October 2019，
  
  Published：25 February 2020
- 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

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