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On Cournot Equilibria in Electricity Transmission Networks

Author

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  • A. Downward

    (Department of Engineering Science, University of Auckland, Auckland 1010, New Zealand)

  • G. Zakeri

    (Department of Engineering Science, University of Auckland, Auckland 1010, New Zealand)

  • A. B. Philpottt

    (Department of Engineering Science, University of Auckland, Auckland 1010, New Zealand)

Abstract

We consider electricity pool markets in radial transmission networks in which the lines have capacities. At each node there is a strategic generator injecting generation quantities into the pool. Prices are determined by a linear competitive fringe at each node (or equivalently a linear demand function) through a convex dispatch optimization. We derive a set of linear inequalities satisfied by the line capacities that gives necessary and sufficient conditions for the unconstrained one-shot Cournot equilibrium to remain an equilibrium in the constrained network. We discuss the extension of this model to general networks and to lines with transmission losses, and we conclude by discussing the application of this methodology to the New Zealand electricity transmission network.

Suggested Citation

  • A. Downward & G. Zakeri & A. B. Philpottt, 2010. "On Cournot Equilibria in Electricity Transmission Networks," Operations Research, INFORMS, vol. 58(4-part-2), pages 1194-1209, August.
    • Handle: RePEc:inm:oropre:v:58:y:2010:i:4-part-2:p:1194-1209
    DOI: 10.1287/opre.1100.0830
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    References listed on IDEAS

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    Cited by:

    1. Holmberg, Pär & Philpott, Andrew, 2012. "Supply Function Equilibria in Networks with Transport Constraints," Working Paper Series 945, Research Institute of Industrial Economics, revised 10 Aug 2015.
    2. Daron Acemoglu & Ali Kakhbod & Asuman Ozdaglar, 2017. "Competition in Electricity Markets with Renewable Energy Sources," The Energy Journal, , vol. 38(1_suppl), pages 137-156, June.
    3. Ali Kakhbod & Asuman Ozdaglar & Ian Schneider, 2018. "Selling Wind," Papers 1812.11420, arXiv.org.
    4. Holmberg, P. & Philpott, A.B., 2018. "On supply-function equilibria in radial transmission networks," European Journal of Operational Research, Elsevier, vol. 271(3), pages 985-1000.
    5. Yan, Yue & Sun, Mei & Guo, Zhilong, 2022. "How do carbon cap-and-trade mechanisms and renewable portfolio standards affect renewable energy investment?," Energy Policy, Elsevier, vol. 165(C).
    6. Debia, Sébastien & Pineau, Pierre-Olivier & Siddiqui, Afzal S., 2019. "Strategic use of storage: The impact of carbon policy, resource availability, and technology efficiency on a renewable-thermal power system," Energy Economics, Elsevier, vol. 80(C), pages 100-122.
    7. Zhang, Yanfang, 2022. "Competitive investments between basic R&D and applied R&D with information spillovers," International Review of Economics & Finance, Elsevier, vol. 82(C), pages 707-722.
    8. Holmberg, Pär & Lazarczyk, Ewa, 2012. "Congestion Management in Electricity Networks: Nodal, Zonal and Discriminatory Pricing," Working Paper Series 915, Research Institute of Industrial Economics.
    9. Kenneth Judd & Garrett van Ryzin, 2010. "Preface to the Special Issue on Computational Economics," Operations Research, INFORMS, vol. 58(4-part-2), pages 1035-1036, August.
    10. Pär Holmberg & Andy Philpott, 2014. "Supply function equilibria in transportation networks," Working Papers EPRG 1401, Energy Policy Research Group, Cambridge Judge Business School, University of Cambridge.
    11. Rui, Zhaobiao & Peng, Weicai & Qin, Ximei & Wang, Jun, 2023. "Assessing carbon cap-and-trade policies on hybrid renewable energy investments: Implications for pricing and capacity decisions," Resources Policy, Elsevier, vol. 86(PA).
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    13. Mohammad Rasouli & Demosthenis Teneketzis, 2021. "Economizing the Uneconomic: Markets for Reliable, Sustainable, and Price Efficient Electricity," Sustainability, MDPI, vol. 13(8), pages 1-38, April.

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