Skip to main content

Study on the Vulnerability of Power Grid Cascade Failures Based on Complex Network Theory

  • Conference paper
  • First Online:
Proceedings of 2020 Chinese Intelligent Systems Conference (CISC 2020)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 706))

Included in the following conference series:

  • 1166 Accesses

Abstract

Reliable, safe, efficient and environmental-friendly power supply ensures the favourable operation of the whole society. With the continuous increase of electricity consumption and with the sustainable development of distributed generation, comprehensive analysis of vulnerability of power grids has become urgent. This paper, based on complex network theory, studies failures on the transmission lines, which little research had been done on before, other than nodes. This paper proposes a new vulnerability assessment algorithm, considering two types of different stress that the power grid undergoes: the increase of electricity consumption and the fluctuations caused by distributed generation. This paper simulates IEEE 30-bus system and IEEE 118-bus system to prove this assessment algorithm efficient, and is different from typical research method using network attacks. It also shows that power grid vulnerability has negative correlation with network average degree. This paper shed new light on the vulnerability analysis of power grid based on complex network theory.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 299.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 379.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 379.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Watts, D.J., Strogatz, S.H.: Collective dynamics of small world networks. Nature 393, 440–442 (1998). https://doi.org/10.1038/30918

    Article  MATH  Google Scholar 

  2. Barabasi, A.L., Albert, R.: Emergence of scaling in random networks. Science 286, 509–512 (1999). https://doi.org/10.1126/science.286.5439.509

    Article  MathSciNet  MATH  Google Scholar 

  3. Watts, D.J.: Small Worlds: The Dynamics of Networks between Order and Randomness. Princeton University Press, Princeton (2003)

    MATH  Google Scholar 

  4. Scala, A., Lucentini, P.G.D.S.: The equal load-sharing model of cascade failures in power grids. Phys. A Stat. Mech. Appl. 462, 737–742 (2015). https://doi.org/10.1103/PhysRevE.77.026102

    Article  MathSciNet  MATH  Google Scholar 

  5. Das, H., Jena, A.K., Rath, P.K., Muduli, B., Das, S.R.: Grid computing-based performance analysis of power system: a graph theoretic approach. In: Intelligent Computing, Communication and Devices, pp. 259–266. Springer, New Delhi (2015). https://doi.org/10.1007/978-81-322-2009-1_30

  6. Sole, R.V., Rosas-Casals, M., Corominas-Murtra, B., Valverde, S.: Robustness of the European power grids under intentional attack. Phys. Rev. E 77, 026102 (2008). https://doi.org/10.1103/PhysRevE.77.026102

    Article  Google Scholar 

  7. Chen, Z., Wu, J., Xia, Y., Zhang, X.: Robustness of interdependent power grids and communication networks: a complex network perspective. IEEE Trans. Circ. Syst. II: Express Briefs 65, 115–119 (2018). https://doi.org/10.1109/TCSII.2017.2705758

    Article  Google Scholar 

  8. Nesti, T., Zocca, A., Zwart, B.: Emergent failures and cascades in power grids: a statistical physics perspective. Phys. Rev. Lett. 120, 258301 (2018). https://doi.org/10.1103/PhysRevLett.120.258301

    Article  Google Scholar 

  9. Han, Y., Guo, C., Shiying, M.A., Song, D.: Modeling cascading failures and mitigation strategies in PMU based cyber-physical power systems. J. Mod. Power Syst. Clean 6, 944–957 (2018). https://doi.org/10.1007/s40565-018-0407-3

    Article  Google Scholar 

  10. Slednev, V., Bertsch, V., Ruppert, M., Fichtner, W.: Highly resolved optimal renewable allocation planning in power systems under consideration of dynamic grid topology. J. Mod. Power Syst. Clean 96, 281–293 (2018). https://doi.org/10.1016/j.cor.2017.12.008

    Article  MATH  Google Scholar 

  11. Glover, J.D., Sarma, M.S.: Power system analysis and design: with personal computer applications. Int. J. Circ. Theor. App. 7, 277–288 (1994). https://doi.org/10.1002/cta.4490070302

    Article  Google Scholar 

  12. Motter, A.E., Lai, Y.: Cascade-based attacks on complex networks. Phys. Rev. E 66, 065102 (2002). https://doi.org/10.1103/PhysRevE.66.065102

    Article  Google Scholar 

  13. Floyd, R.W.: Cascade-based attacks on complex networks. Commun. ACM 5, 345 (1962). https://doi.org/10.1145/367766.368168

    Article  Google Scholar 

  14. Pagani, G.A., Aiello, M.: Power grid network evolutions for local energy trading. arXiv preprint arXiv:1201.0962 (2012)

  15. Pagani, G.A., Aiello, M.: Power grid complex network evolutions for the smart grid. Phys. A Stat. Appl. 396, 248–266 (2014). https://doi.org/10.1016/j.physa.2013.11.022

    Article  Google Scholar 

Download references

Acknowledgment

This work is partially supported by the National Natural Science Foundation of China under Grants (61973110, 61503133), the Province Natural Science Foundation of Hunan under Grant (2016JJ6043).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Chaoyang Chen .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Long, Y., Chen, C. (2021). Study on the Vulnerability of Power Grid Cascade Failures Based on Complex Network Theory. In: Jia, Y., Zhang, W., Fu, Y. (eds) Proceedings of 2020 Chinese Intelligent Systems Conference. CISC 2020. Lecture Notes in Electrical Engineering, vol 706. Springer, Singapore. https://doi.org/10.1007/978-981-15-8458-9_33

Download citation

Publish with us

Policies and ethics