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Invulnerability analysis of urban power system based multi-layer heterogeneous complex network considering high-security level

Author

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  • Luo, Yichen
  • Xu, Xiao
  • Liu, Junyong
  • Liu, Youbo
  • Xu, Lixiong
  • Hu, Weihao

Abstract

The cyber-physical power system (CPPS) as a typical multi-layer heterogeneous network is widely employed in the field of cyber-attacks on urban power system. However, for the traditional attack methods, the high-security level of CPPS in urban core functional areas (UCFAs) is not considered, resulting in the identified critical links may not be attacked directly. For CPPS models, 5 G and IoT technology promote the deep integration of cyber-physical in CPPS, and the introduction of functional components with diverse scales and technologies intensifies the heterogeneous complexity of CPPS, causing the failure of traditional models. Moreover, most traditional methods only consider the varying attack times, also causing obstacles in analyzing the power loss in distinct UCFAs and various target destruction degrees (TDDs). Thus, a precise attack method is proposed for the invulnerability analysis of CPPS in UCFAs. Firstly, an actual CPPS model considering monitoring, energy supply, and control functional components is established. In this model, the diversity of functional components can reflect the heterogeneous complexity of the CPPS better. Then, based on functional observability theory, a precise attack model for CPPS in UCFA is developed. By attacking the minimum connected nodes set of the target area, the problem that the critical links of the target area with high security-security level cannot be directly attacked is solved. In addition, an attack strategy model is also developed to reveal the quantitative relationship between power loss rates and TDDs. Finally, the attack results are analyzed across four TDDs and the invulnerability of two UCFAs is evaluated. The case study illustrates that compared to the airport, the CBD has stronger invulnerability in a TDD of 40 % or more, and mild and general faults should be vigilant to avoid cumulative effects.

Suggested Citation

  • Luo, Yichen & Xu, Xiao & Liu, Junyong & Liu, Youbo & Xu, Lixiong & Hu, Weihao, 2025. "Invulnerability analysis of urban power system based multi-layer heterogeneous complex network considering high-security level," Reliability Engineering and System Safety, Elsevier, vol. 257(PA).
  • Handle: RePEc:eee:reensy:v:257:y:2025:i:pa:s0951832025000638
    DOI: 10.1016/j.ress.2025.110860
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    as
    1. Wang, Shuliang & Guo, Zhaoyang & Huang, Xiaodi & Zhang, Jianhua, 2024. "A three-stage model of quantifying and analyzing power network resilience based on network theory," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
    2. Qin, Chao & Zhong, Chongyu & Sun, Bing & Jin, Xiaolong & Zeng, Yuan, 2023. "A tri-level optimal defense method against coordinated cyber-physical attacks considering full substation topology," Applied Energy, Elsevier, vol. 339(C).
    3. Jia, Tao & Liu, Wenxuan & Liu, Xintao, 2021. "A cross-city exploratory analysis of the robustness of bus transit networks using open-source data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 580(C).
    4. Zhang, Xi & Liu, Dong & Tu, Haicheng & Tse, Chi Kong, 2022. "An integrated modeling framework for cascading failure study and robustness assessment of cyber-coupled power grids," Reliability Engineering and System Safety, Elsevier, vol. 226(C).
    5. Baidyanath Biswas & Arunabha Mukhopadhyay & Ajay Kumar & Dursun Delen, 2024. "A hybrid framework using explainable AI (XAI) in cyber-risk management for defence and recovery against phishing attacks," Post-Print hal-04337020, HAL.
    6. Varbella, Anna & Gjorgiev, Blazhe & Sansavini, Giovanni, 2023. "Geometric deep learning for online prediction of cascading failures in power grids," Reliability Engineering and System Safety, Elsevier, vol. 237(C).
    7. Li, Xin & Lei, Anzhi & Zhu, Liangkuan & Ban, Mingfei, 2024. "Improving Kalman filter for cyber physical systems subject to replay attacks: An attack-detection-based compensation strategy," Applied Mathematics and Computation, Elsevier, vol. 466(C).
    8. Solat, Amirhossein & Gharehpetian, G.B. & Naderi, Mehdi Salay & Anvari-Moghaddam, Amjad, 2024. "On the control of microgrids against cyber-attacks: A review of methods and applications," Applied Energy, Elsevier, vol. 353(PA).
    9. Rocchetta, Roberto, 2022. "Enhancing the resilience of critical infrastructures: Statistical analysis of power grid spectral clustering and post-contingency vulnerability metrics," Renewable and Sustainable Energy Reviews, Elsevier, vol. 159(C).
    10. Wu, Gongyu & Li, Meiyan & Li, Zhaojun Steven, 2021. "A Gene Importance based Evolutionary Algorithm (GIEA) for identifying critical nodes in Cyber–Physical Power Systems," Reliability Engineering and System Safety, Elsevier, vol. 214(C).
    11. Yang, Yuanzhi & Yu, Lei & Wang, Xing & Zhou, Zhongliang & Chen, You & Kou, Tian, 2019. "A novel method to evaluate node importance in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 526(C).
    12. Wang, Shuliang & Gu, Xifeng & Chen, Jiawei & Chen, Chen & Huang, Xiaodi, 2023. "Robustness improvement strategy of cyber-physical systems with weak interdependency," Reliability Engineering and System Safety, Elsevier, vol. 229(C).
    13. Sergey V. Buldyrev & Roni Parshani & Gerald Paul & H. Eugene Stanley & Shlomo Havlin, 2010. "Catastrophic cascade of failures in interdependent networks," Nature, Nature, vol. 464(7291), pages 1025-1028, April.
    14. Xu, Sheng & Tu, Haicheng & Xia, Yongxiang, 2023. "Resilience enhancement of renewable cyber–physical power system against malware attacks," Reliability Engineering and System Safety, Elsevier, vol. 229(C).
    15. Dong, Zhengcheng & Tian, Meng & Liang, Jiaqi & Fang, Yanjun & Lu, Yuxin, 2019. "Research on the connection radius of dependency links in interdependent spatial networks against cascading failures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 555-564.
    16. Fan, Wenli & Huang, Shaowei & Mei, Shengwei, 2016. "Invulnerability of power grids based on maximum flow theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 977-985.
    17. Zhai, Chengwei & Chen, Thomas Ying-jeh & White, Anna Grace & Guikema, Seth David, 2021. "Power outage prediction for natural hazards using synthetic power distribution systems," Reliability Engineering and System Safety, Elsevier, vol. 208(C).
    18. Zhou, Jian & Coit, David W. & Felder, Frank A. & Tsianikas, Stamatis, 2023. "Combined optimization of system reliability improvement and resilience with mixed cascading failures in dependent network systems," Reliability Engineering and System Safety, Elsevier, vol. 237(C).
    19. Geng, Sunyue & Liu, Sifeng, 2025. "An agent-based framework for resilience analysis of service networks," Reliability Engineering and System Safety, Elsevier, vol. 253(C).
    20. Li, Jingkui & Liu, Xiaona & Lu, Yuze & Wang, Hanzheng, 2024. "Reliability analysis on energy storage system combining GO-FLOW methodology with GERT network," Reliability Engineering and System Safety, Elsevier, vol. 243(C).
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    1. Du, Mijie & Guo, Peng & Zio, Enrico & Zhao, Jing, 2025. "Assessing the vulnerability of power network accounting for demand diversity among urban functional zones," Reliability Engineering and System Safety, Elsevier, vol. 260(C).

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