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The value of cooperation in interregional transmission planning: A noncooperative equilibrium model approach

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  • Kasina, Saamrat
  • Hobbs, Benjamin F.

Abstract

Optimization methods for regional transmission planning overlook boundaries between transmission planning entities and do not account for their lack of coordination. The practical result of those boundaries is inefficient plans because one planning region may disregard the costs and benefits that its network changes impose on other regions. We develop a bi-level EPEC (Equilibrium Problem with Equilibrium Constraints) model that represents a game among multiple noncooperative transmission planners in the upper level together with consumers and generators for the entire region in the lower level. We find that the equilibrium transmission plans from such a framework can differ significantly from those from a cooperative framework and have fewer net benefits. Importantly, we find that cooperation among transmission planners leads to increased competition among generators from adjoining regions, which in turn leads to more efficient generator investments. We prove that the system-wide benefit from cooperation among transmission planners is always positive. We then calculate the value of this cooperation for a small test case with two transmission planners, while also identifying the market parties who gain — and those who lose — from this cooperation.

Suggested Citation

  • Kasina, Saamrat & Hobbs, Benjamin F., 2020. "The value of cooperation in interregional transmission planning: A noncooperative equilibrium model approach," European Journal of Operational Research, Elsevier, vol. 285(2), pages 740-752.
  • Handle: RePEc:eee:ejores:v:285:y:2020:i:2:p:740-752
    DOI: 10.1016/j.ejor.2020.02.018
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    as
    1. Mingming Leng & Mahmut Parlar, 2009. "Allocation of Cost Savings in a Three-Level Supply Chain with Demand Information Sharing: A Cooperative-Game Approach," Operations Research, INFORMS, vol. 57(1), pages 200-213, February.
    2. Parkash Chander & Henry Tulkens, 2006. "The Core of an Economy with Multilateral Environmental Externalities," Springer Books, in: Parkash Chander & Jacques Drèze & C. Knox Lovell & Jack Mintz (ed.), Public goods, environmental externalities and fiscal competition, chapter 0, pages 153-175, Springer.
    3. Pierre-Olivier Pineau & Pauli Murto, 2003. "An Oligopolistic Investment Model of the Finnish Electricity Market," Annals of Operations Research, Springer, vol. 121(1), pages 123-148, July.
    4. Huppmann, Daniel & Egerer, Jonas, 2015. "National-strategic investment in European power transmission capacity," European Journal of Operational Research, Elsevier, vol. 247(1), pages 191-203.
    5. Bilbao, J. M. & Lebron, E. & Jimenez, N., 1999. "The core of games on convex geometries," European Journal of Operational Research, Elsevier, vol. 119(2), pages 365-372, December.
    6. Leng, Mingming & Zhu, An, 2009. "Side-payment contracts in two-person nonzero-sum supply chain games: Review, discussion and applications," European Journal of Operational Research, Elsevier, vol. 196(2), pages 600-618, July.
    7. Steven Stoft, 2006. "Problems of Transmission Investment in a Deregulated Power Market," Chapters, in: François Lévêque (ed.), Competitive Electricity Markets and Sustainability, chapter 4, Edward Elgar Publishing.
    8. Joachim Bertsch & Simeon Hagspiel & Lisa Just, 2016. "Congestion management in power systems," Journal of Regulatory Economics, Springer, vol. 50(3), pages 290-327, December.
    9. Matthew O. Jackson & Simon Wilkie, 2005. "Endogenous Games and Mechanisms: Side Payments Among Players," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(2), pages 543-566.
    10. Pulido, Manuel A. & Sánchez-Soriano, Joaquín, 2009. "On the core, the Weber set and convexity in games with a priori unions," European Journal of Operational Research, Elsevier, vol. 193(2), pages 468-475, March.
    11. Joskow, Paul L., 2005. "Transmission policy in the United States," Utilities Policy, Elsevier, vol. 13(2), pages 95-115, June.
    12. Harker, Patrick T., 1991. "Generalized Nash games and quasi-variational inequalities," European Journal of Operational Research, Elsevier, vol. 54(1), pages 81-94, September.
    13. R. I. Boţ & G. Kassay & G. Wanka, 2005. "Strong Duality for Generalized Convex Optimization Problems," Journal of Optimization Theory and Applications, Springer, vol. 127(1), pages 45-70, October.
    14. Enzo Sauma & Shmuel Oren, 2006. "Proactive planning and valuation of transmission investments in restructured electricity markets," Journal of Regulatory Economics, Springer, vol. 30(3), pages 358-387, November.
    15. Charles A. Holt & William Shobe & Dallas Burtraw & Karen Palmer & Jacob K. Goeree, 2007. "Auction Design for Selling CO2 Emission Allowances Under the Regional Greenhouse Gas Initiative," Reports 2007-03, Center for Economic and Policy Studies.
    16. Gately, Dermot, 1974. "Sharing the Gains from Regional Cooperation: A Game Theoretic Application to Planning Investment in Electric Power," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 15(1), pages 195-208, February.
    17. van der Weijde, Adriaan Hendrik & Hobbs, Benjamin F., 2012. "The economics of planning electricity transmission to accommodate renewables: Using two-stage optimisation to evaluate flexibility and the cost of disregarding uncertainty," Energy Economics, Elsevier, vol. 34(6), pages 2089-2101.
    18. RUIZ, Carlos & CONEJO, Antonio J. & SMEERS, Yves, 2012. "Equilibria in an oligopolistic electricity pool with stepwise offer curves," LIDAM Reprints CORE 2395, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    19. Wang, Qinan & Parlar, Mahmut, 1994. "A three-person game theory model arising in stochastic inventory control theory," European Journal of Operational Research, Elsevier, vol. 76(1), pages 83-97, July.
    20. Xinmin Hu & Daniel Ralph, 2007. "Using EPECs to Model Bilevel Games in Restructured Electricity Markets with Locational Prices," Operations Research, INFORMS, vol. 55(5), pages 809-827, October.
    21. Mario Guajardo & Kurt Jörnsten & Mikael Rönnqvist, 2016. "Constructive and blocking power in collaborative transportation," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(1), pages 25-50, January.
    22. Yihsu Chen & Benjamin Hobbs & Sven Leyffer & Todd Munson, 2006. "Leader-Follower Equilibria for Electric Power and NO x Allowances Markets," Computational Management Science, Springer, vol. 3(4), pages 307-330, September.
    23. Lozano, S. & Moreno, P. & Adenso-Díaz, B. & Algaba, E., 2013. "Cooperative game theory approach to allocating benefits of horizontal cooperation," European Journal of Operational Research, Elsevier, vol. 229(2), pages 444-452.
    24. Han, Deren & Zhang, Hongchao & Qian, Gang & Xu, Lingling, 2012. "An improved two-step method for solving generalized Nash equilibrium problems," European Journal of Operational Research, Elsevier, vol. 216(3), pages 613-623.
    25. Hafalir, Isa E., 2007. "Efficiency in coalition games with externalities," Games and Economic Behavior, Elsevier, vol. 61(2), pages 242-258, November.
    26. Enzo Sauma & Shmuel Oren, 2006. "Proactive planning and valuation of transmission investments in restructured electricity markets," Journal of Regulatory Economics, Springer, vol. 30(3), pages 261-290, November.
    27. Claudia D’Ambrosio & Andrea Lodi, 2013. "Mixed integer nonlinear programming tools: an updated practical overview," Annals of Operations Research, Springer, vol. 204(1), pages 301-320, April.
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