IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v590y2022ics0378437121009249.html
   My bibliography  Save this article

Elementary changes in topology and power transmission capacity can induce failures in power grids

Author

Listed:
  • Lacerda, Juliana C.
  • Freitas, Celso
  • Macau, Elbert E.N.

Abstract

In this work, we show that elementary changes in the topology of power grids, like the addition or removal of a single transmission line or the increase of its maximum transmission capacity can cause failures in the network. Also, we show that the probability of the occurrence of these failures can be related to the level of centralization of energy generation and to the nature of the nodes being connected by the transmission line being considered, although the increase in the transmission capacity does not seem to be much affected by the level of centralization. When considering a centralized power grid, that is, one grid whose power is supplied by just a few generators, one must be very careful when contemplating a change between two consumers, being an addition, removal or increase in the transmission capacity of the transmission line connecting them, as there is a considerable probability that this change may cause a failure in the network. In the decentralized power grid, the modification that cause most of the failures in the grid is between a consumer and a generator when the removal or increase in the transmission capacity is being considered. Therefore, one must be very careful when planning an update in an existing power grid or when building a new one as a single modification in the grid may lead the system out of the synchronous state.

Suggested Citation

  • Lacerda, Juliana C. & Freitas, Celso & Macau, Elbert E.N., 2022. "Elementary changes in topology and power transmission capacity can induce failures in power grids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 590(C).
    • Handle: RePEc:eee:phsmap:v:590:y:2022:i:c:s0378437121009249
    DOI: 10.1016/j.physa.2021.126704
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437121009249
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2021.126704?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Anna Nagurney & David Boyce, 2005. "Preface to “On a Paradox of Traffic Planning”," Transportation Science, INFORMS, vol. 39(4), pages 443-445, November.
    2. Dietrich Braess & Anna Nagurney & Tina Wakolbinger, 2005. "On a Paradox of Traffic Planning," Transportation Science, INFORMS, vol. 39(4), pages 446-450, November.
    3. Yang, Li-xin & Jiang, Jun, 2017. "Impacts of link addition and removal on synchronization of an elementary power network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 479(C), pages 99-107.
    4. Alessandro Pluchino & Vito Latora & Andrea Rapisarda, 2005. "Changing Opinions In A Changing World: A New Perspective In Sociophysics," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(04), pages 515-531.
    5. Pepermans, G. & Driesen, J. & Haeseldonckx, D. & Belmans, R. & D'haeseleer, W., 2005. "Distributed generation: definition, benefits and issues," Energy Policy, Elsevier, vol. 33(6), pages 787-798, April.
    6. G. Filatrella & A. H. Nielsen & N. F. Pedersen, 2008. "Analysis of a power grid using a Kuramoto-like model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 61(4), pages 485-491, February.
    7. Pagani, Giuliano Andrea & Aiello, Marco, 2013. "The Power Grid as a complex network: A survey," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(11), pages 2688-2700.
    8. Emma Marris, 2008. "Energy: Upgrading the grid," Nature, Nature, vol. 454(7204), pages 570-573, July.
    9. Dirk Witthaut & Marc Timme, 2013. "Nonlocal failures in complex supply networks by single link additions," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 86(9), pages 1-12, September.
    10. Peter J. Menck & Jobst Heitzig & Jürgen Kurths & Hans Joachim Schellnhuber, 2014. "How dead ends undermine power grid stability," Nature Communications, Nature, vol. 5(1), pages 1-8, September.
    11. Z. Néda & E. Ravasz & Y. Brechet & T. Vicsek & A.-L. Barabási, 2000. "The sound of many hands clapping," Nature, Nature, vol. 403(6772), pages 849-850, February.
    12. Frank Hellmann & Paul Schultz & Patrycja Jaros & Roman Levchenko & Tomasz Kapitaniak & Jürgen Kurths & Yuri Maistrenko, 2020. "Network-induced multistability through lossy coupling and exotic solitary states," Nature Communications, Nature, vol. 11(1), pages 1-9, December.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Zou, Yanli & Wang, Ruirui & Gao, Zheng, 2020. "Improve synchronizability of a power grid through power allocation and topology adjustment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 548(C).
    2. Li, Fan & Liu, Shuai & Li, Xiaola, 2023. "Effect of phase shift on the dynamics of a single-machine infinite-bus power system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 616(C).
    3. Arinushkin, P.A. & Vadivasova, T.E., 2021. "Nonlinear damping effects in a simplified power grid model based on coupled Kuramoto-like oscillators with inertia," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    4. Liu, Yixuan & Whinston, Andrew B., 2019. "Efficient real-time routing for autonomous vehicles through Bayes correlated equilibrium: An information design framework," Information Economics and Policy, Elsevier, vol. 47(C), pages 14-26.
    5. Bittihn, Stefan & Schadschneider, Andreas, 2021. "The effect of modern traffic information on Braess’ paradox," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 571(C).
    6. Hosseininasab, Seyyed-Mohammadreza & Shetab-Boushehri, Seyyed-Nader & Hejazi, Seyed Reza & Karimi, Hadi, 2018. "A multi-objective integrated model for selecting, scheduling, and budgeting road construction projects," European Journal of Operational Research, Elsevier, vol. 271(1), pages 262-277.
    7. Bittihn, Stefan & Schadschneider, Andreas, 2018. "Braess paradox in a network with stochastic dynamics and fixed strategies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 507(C), pages 133-152.
    8. Wang, Aihu & Tang, Yuanhua & Mohmand, Yasir Tariq & Xu, Pei, 2022. "Modifying link capacity to avoid Braess Paradox considering elastic demand," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 605(C).
    9. Khramenkov, Vladislav & Dmitrichev, Aleksei & Nekorkin, Vladimir, 2021. "Partial stability criterion for a heterogeneous power grid with hub structures," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    10. Zhang, Ding-Xue & Zhao, Dan & Guan, Zhi-Hong & Wu, Yonghong & Chi, Ming & Zheng, Gui-Lin, 2016. "Probabilistic analysis of cascade failure dynamics in complex network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 299-309.
    11. Knies, Austin & Lorca, Jorge & Melo, Emerson, 2022. "A recursive logit model with choice aversion and its application to transportation networks," Transportation Research Part B: Methodological, Elsevier, vol. 155(C), pages 47-71.
    12. Carlo Bianca, 2022. "On the Modeling of Energy-Multisource Networks by the Thermostatted Kinetic Theory Approach: A Review with Research Perspectives," Energies, MDPI, vol. 15(21), pages 1-22, October.
    13. Ye, Jiao & Jiang, Yu & Chen, Jun & Liu, Zhiyuan & Guo, Renzhong, 2021. "Joint optimisation of transfer location and capacity for a capacitated multimodal transport network with elastic demand: a bi-level programming model and paradoxes," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 156(C).
    14. Cruz, F.R.B. & van Woensel, T. & MacGregor Smith, J. & Lieckens, K., 2010. "On the system optimum of traffic assignment in M/G/c/c state-dependent queueing networks," European Journal of Operational Research, Elsevier, vol. 201(1), pages 183-193, February.
    15. Li, Qiaoru & Zhang, Zhe & Li, Kun & Chen, Liang & Wei, Zhenlin & Zhang, Jingchun, 2020. "Evolutionary dynamics of traveling behavior in social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    16. Bagloee, Saeed Asadi & Sarvi, Majid & Wolshon, Brian & Dixit, Vinayak, 2017. "Identifying critical disruption scenarios and a global robustness index tailored to real life road networks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 98(C), pages 60-81.
    17. Novak, D.C. & Sullivan, J.F. & Sentoff, K. & Dowds, J., 2020. "A framework to guide strategic disinvestment in roadway infrastructure considering social vulnerability," Transportation Research Part A: Policy and Practice, Elsevier, vol. 132(C), pages 436-451.
    18. Bahrami, Sina & Roorda, Matthew J., 2020. "Optimal traffic management policies for mixed human and automated traffic flows," Transportation Research Part A: Policy and Practice, Elsevier, vol. 135(C), pages 130-143.
    19. Liu, Zhaocai & Chen, Zhibin & He, Yi & Song, Ziqi, 2021. "Network user equilibrium problems with infrastructure-enabled autonomy," Transportation Research Part B: Methodological, Elsevier, vol. 154(C), pages 207-241.
    20. Yao, Jia & Huang, Wenhua & Chen, Anthony & Cheng, Zhanhong & An, Shi & Xu, Guangming, 2019. "Paradox links can improve system efficiency: An illustration in traffic assignment problem," Transportation Research Part B: Methodological, Elsevier, vol. 129(C), pages 35-49.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:590:y:2022:i:c:s0378437121009249. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.