Technical Papers
Feb 7, 2022

Dynamic Network Flow Model for Power Grid Systemic Risk Assessment and Resilience Enhancement

Publication: Journal of Infrastructure Systems
Volume 28, Issue 2

Abstract

Power infrastructure networks are susceptible to performance disruptions induced by natural or anthropogenic hazard events. For example, extreme weather events or cyberattacks can disrupt the functionality of multiple network components concurrently or sequentially, resulting in a chain of cascading failures throughout the network. Mitigating the impacts of such system-level cascading failures (systemic risks) requires analyzing the entire network considering the physics of its dynamic power flow. This study focuses on the draw-down phase of power infrastructure network resilience—assessing the power grid vulnerability and robustness, through simulating cascading failure propagations using a dynamic cascading failure physics-based model. The study develops and demonstrates the utility of a link vulnerability index to construct power transmission line vulnerability maps, as well as a node importance index for power (sub)station ranking according to the resulting cascading failure size. Overall, understanding the criticality of different network components provides stakeholders with the insights essential for building resilience and subsequently managing it within the context of power grids and supports policymakers and regulators in making informed decisions pertaining to the tolerable degree of systemic risk constrained by available resources.

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Data Availability Statement

Some or all data, models, or code generated or used during the study are proprietary or confidential in nature and may only be provided with restrictions. The Ontario power grid data, based on the IESO Summer 2010 base case scenario, were used to demonstrate the application of the model. Requests for such data may be made directly to IESO.

Acknowledgments

This research was supported by the Canadian Nuclear Energy Infrastructure Resilience under Systemic Risk (CaNRisk)—Collaborative Research and Training Experience (CREATE) program of the Natural Science and Engineering Research Council (NSERC) of Canada. Additional support through the INTERFACE Institute and the INViSiONLab of McMaster University is acknowledged.

References

Albert, R., I. Albert, and G. L. Nakarado. 2004. “Structural vulnerability of the North American power grid.” Phys. Rev. E 69 (2): 25103. https://doi.org/10.1103/PhysRevE.69.025103.
Andersson, G., et al. 2005. “Causes of the 2003 major grid blackouts in North America and Europe, and recommended means to improve system dynamic performance.” IEEE Trans. Power Syst. 20 (4): 1922–1928. https://doi.org/10.1109/TPWRS.2005.857942.
Barabási, A.-L., and M. Pósfai. 2016. Network science. Cambridge, UK: Cambridge University Press.
Bernstein, A., D. Bienstock, D. Hay, M. Uzunoglu, and G. Zussman. 2014. “Power grid vulnerability to geographically correlated failures—Analysis and control implications.” In Proc., IEEE INFOCOM 2014—IEEE Conf. on Computer Communications, 2634–2642. New York: IEEE. https://doi.org/10.1109/INFOCOM.2014.6848211.
Conover, W. J. 1998. Practical nonparametric statistics: Chapter 6: Statistics of the Kolmogorov-Smirnov Type. New York: Wiley.
Costa, L. D. F., O. N. Oliveira Jr, G. Travieso, F. A. Rodrigues, P. R. Villas Boas, L. Antiqueira, M. P. Viana, and L. E. Correa Rocha. 2011. “Analyzing and modeling real-world phenomena with complex networks: A survey of applications.” Adv. Phys. 60 (3): 329–412. https://doi.org/10.1080/00018732.2011.572452.
Crucitti, P., V. Latora, and M. Marchiori. 2005. “Locating critical lines in high-voltage electrical power grids.” Fluct. Noise Lett. 05 (02): L201–L208. https://doi.org/10.1142/S0219477505002562.
Ezzeldin, M., and W. E. El-Dakhakhni. 2019. “Robustness of Ontario power network under systemic risks.” Sustainable Resilient Infrastruct. 6 (3–4): 1–20. https://doi.org/10.1080/23789689.2019.1666340.
Fang, X., Q. Yang, and W. Yan. 2014. “Modeling and analysis of cascading failure in directed complex networks.” Saf. Sci. 65 (Jun): 1–9. https://doi.org/10.1016/j.ssci.2013.12.015.
Freeman, L. C. 1977. “A set of measures of centrality based on betweenness.” Sociometry 40 (1): 35. https://doi.org/10.2307/3033543.
Gasser, P., P. Lustenberger, M. Cinelli, W. Kim, M. Spada, P. Burgherr, S. Hirschberg, B. Stojadinovic, and T. Y. Sun. 2019. “A review on resilience assessment of energy systems.” Sustainable Resilient Infrastruct. 6 (5): 1–27. https://doi.org/10.1080/23789689.2019.1610600.
Haggag, M., A. Yorsi, W. El-Dakhakhni, and E. Hassini. 2021. “Infrastructure performance prediction under climate-induced disasters using data analytics.” Int. J. Disaster Risk Reduct. 56 (Apr): 102121. https://doi.org/10.1016/j.ijdrr.2021.102121.
Heinimann, H. R., and K. Hatfield. 2017. “Infrastructure resilience assessment, management and governance–state and perspectives.” In Resilience and risk, edited by I., Linkov, and J. M., Palma-Oliveira, 147–187. Dordrecht, Netherlands: Springer. https://doi.org/10.1007/978-94-024-1123-2_5.
Hines, P., E. Cotilla-Sanchez, and S. Blumsack. 2010a. “Do topological models provide good information about electricity infrastructure vulnerability?” Chaos: Interdiscip. J. Nonlinear Sci. 20 (3): 33122. https://doi.org/10.1063/1.3489887.
Hines, P., E. Cotilla-Sanchez, and S. Blumsack. 2010b. “Do topological models provide good information about electricity infrastructure vulnerability?” Chaos: Interdiscipl. J. Nonlinear Sci. 20 (3): 33122. https://doi.org/10.1063/1.3489887.
Ju, W. 2018. Modeling, simulation, and analysis of cascading outages in power systems. Knoxville, TN: Univ. of Tennessee, Knoxville.
Kinney, R., P. Crucitti, R. Albert, and V. Latora. 2005. “Modeling cascading failures in the North American power grid.” Eur. Phys. J. B 46 (1): 101–107. https://doi.org/10.1140/epjb/e2005-00237-9.
Li, J., C. Shi, C. Chen, and L. Dueñas-Osorio. 2018. “A cascading failure model based on AC optimal power flow: Case study.” Physica A 508 (Oct): 313–323. https://doi.org/10.1016/j.physa.2018.05.081.
Motter, A. E. 2004. “Cascade control and defense in complex networks.” Phys. Rev. Lett. 93 (9): 98701. https://doi.org/10.1103/PhysRevLett.93.098701.
Motter, A. E., and Y.-C. Lai. 2002. “Cascade-based attacks on complex networks.” Phys. Rev. E: Stat. Nonlinear Soft Matter Phys. 66 (6 Pt 2): 65102. https://doi.org/10.1103/PhysRevE.66.065102.
NERC (North American Electric Reliability Corporation). 2019. Lesson learned: Risks posed by firewall firmware vulnerabilities. Washington, DC: NERC.
Newman, M. 2010. Networks: An introduction. Oxford, UK: Oxford University Press.
Opsahl, T., F. Agneessens, and J. Skvoretz. 2010. “Node centrality in weighted networks: Generalizing degree and shortest paths.” Soc. Networks 32 (3): 245–251. https://doi.org/10.1016/j.socnet.2010.03.006.
Ouyang, M. 2014. “Review on modeling and simulation of interdependent critical infrastructure systems.” Reliab. Eng. Syst. Saf. 121 (Jan): 43–60. https://doi.org/10.1016/j.ress.2013.06.040.
Pagani, G. A., and M. Aiello. 2013. “The power grid as a complex network: A survey.” Physica A 392 (11): 2688–2700. https://doi.org/10.1016/j.physa.2013.01.023.
Pahwa, S., M. Youssef, and C. Scoglio. 2014. “Electrical networks: An introduction.” In Networks of networks: The last frontier of complexity, edited by G., D’Agostino, and A., Scala, 163–186. New York: Springer. https://doi.org/10.1007/978-3-319-03518-5_8.
Panteli, M., and P. Mancarella. 2017. “Modeling and evaluating the resilience of critical electrical power infrastructure to extreme weather events.” IEEE Syst. J. 11 (3): 1733–1742. https://doi.org/10.1109/JSYST.2015.2389272.
Rome, E., P. Langeslag, and A. Usov. 2014. “Federated modelling and simulation for critical infrastructure protection.” In Networks of networks: The last frontier of complexity, edited by G., D’Agostino, and A., Scala, 225–253. New York: Springer. https://doi.org/10.1007%2F978-3-319-03518-5_11.
Rosato, V., S. Bologna, and F. Tiriticco. 2007. “Topological properties of high-voltage electrical transmission networks.” Electr. Power Syst. Res. 77 (2): 99–105. https://doi.org/10.1016/j.epsr.2005.05.013.
Salama, M., W. El-Dakhakhni, and M. Tait. 2021. “Mixed strategy for resilience enhancement of power grid under cyberattack.” Sustainable Resilient Infrastruct. https://doi.org/10.1080/23789689.2021.1974675.
Salama, M., M. Ezzeldin, W. El-Dakhakhni, and M. Tait. 2020. “Temporal networks: A review and opportunities for infrastructure simulation.” Sustainable Resilient Infrastruct. 1–16. https://doi.org/10.1080/23789689.2019.1708175.
Schäfer, B., and G. C. Yalcin. 2019. “Dynamical modeling of cascading failures in the Turkish power grid.” Chaos: Interdiscip. J. Nonlinear Sci. 29 (9): 93134. https://doi.org/10.1063/1.5110974.
Siemens, PTI. 2015. Power system simulator for engineering (PSSE): PSSE 34.0.1. New York: Siemens Industry, Siemens Power Technologies International.
Sun, H. J., H. Zhao, and J. J. Wu. 2008. “A robust matching model of capacity to defense cascading failure on complex networks.” Physica A 387 (25): 6431–6435. https://doi.org/10.1016/j.physa.2008.07.028.
Wang, J. 2013. “Mitigation strategies on scale-free networks against cascading failures.” Physica A 392 (9): 2257–2264. https://doi.org/10.1016/j.physa.2013.01.013.
Wang, J.-W., and L.-L. Rong. 2009. “Cascade-based attack vulnerability on the US power grid.” Saf. Sci. 47 (10): 1332–1336. https://doi.org/10.1016/j.ssci.2009.02.002.
Wang, J.-W., and L.-L. Rong. 2011. “Robustness of the western United States power grid under edge attack strategies due to cascading failures.” Saf. Sci. 49 (6): 807–812. https://doi.org/10.1016/j.ssci.2010.10.003.
Wang, Z., A. Scaglione, and R. J. Thomas. 2010a. Electrical centrality measures for electric power grid vulnerability analysis. New York: IEEE.
Wang, Z., A. Scaglione, and R. J. Thomas. 2010b. “The node degree distribution in power grid and its topology robustness under random and selective node removals.” In Proc., 2010 Int. Conf. on Communications Workshops. 1–5. New York: IEEE. https://doi.org/10.1109/ICCW.2010.5503926.
Wu, B., A. Tang, and J. Wu. 2016. “Modeling cascading failures in interdependent infrastructures under terrorist attacks.” Reliab. Eng. Syst. Saf. 147 (Mar): 1–8. https://doi.org/10.1016/j.ress.2015.10.019.
Yan, J., Y. Tang, H. He, and Y. Sun. 2015. “Cascading failure analysis with DC power flow model and transient stability analysis.” IEEE Trans. Power Syst. 30 (1): 285–297. https://doi.org/10.1109/TPWRS.2014.2322082.
Yang, Y., T. Nishikawa, and A. E. Motter. 2017. “Small vulnerable sets determine large network cascades in power grids.” Science (New York) 358 (6365): 886. https://doi.org/10.1126/science.aan3184.
Zhao, K., C. Ma, J. Sun, B. Zhang, L. Ma, and L. Wang. 2018. A new simulation method for complicated successive power system faults in extreme weather. New York: IEEE.
Zio, E. 2013. The Monte Carlo simulation method for system reliability and risk analysis. London: Springer.

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Go to Journal of Infrastructure Systems
Journal of Infrastructure Systems
Volume 28Issue 2June 2022

History

Received: Apr 18, 2021
Accepted: Dec 14, 2021
Published online: Feb 7, 2022
Published in print: Jun 1, 2022
Discussion open until: Jul 7, 2022

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Authors

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Ph.D. Student, NSERC-CREATE Program on Canadian Nuclear Energy Infrastructure Resilience under Systemic Risks (CaNRisk), McMaster Univ., JHE-301, Hamilton, ON, Canada L8S 4L7 (corresponding author). ORCID: https://orcid.org/0000-0002-6136-5658. Email: [email protected]
Wael El-Dakhakhni, F.ASCE [email protected]
Professor and Director, INTERFACE Institute for Multi-Hazard Systemic Risk Studies, McMaster Univ., JHE-301, Hamilton, ON, Canada L8S 4L7. Email: [email protected]
Michael J. Tait, M.ASCE [email protected]
Professor and Joe Ng/JNE Consulting Chair, Design, Construction, and Management in Infrastructure Renewal, McMaster Univ., JHE-301, Hamilton, ON, Canada L8S 4L7. Email: [email protected]
Program Chair, Power and Energy Engineering Technology, McMaster Univ., JHE-301, Hamilton, ON, Canada L8S 4L7. Email: [email protected]

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