IDEAS home Printed from https://ideas.repec.org/p/enp/wpaper/eprg1838.html
   My bibliography  Save this paper

Increase-Decrease Game under Imperfect Competition in Two-stage Zonal Power Markets – Part II: Solution Algorithm

Author

Listed:
  • M. Sarfati

    (Electricity Market Research Group (EMReG), KTH Royal Institute of Technology, Sweden -Research Institute of Industrial Economics (IFN), Sweden)

  • M.R. Hesamzadeh

    (Electricity Market Research Group (EMReG), KTH Royal Institute of Technology, Sweden.)

  • P. Holmberg

    (Research Institute of Industrial Economics (IFN), Sweden - Energy Policy Research Group (EPRG), University of Cambridge, UK - Program on Energy and Sustainable Development (PESD), Stanford University, CA, USA)

Abstract

In part I of this paper, we proposed a Mixed-Integer Linear Program (MILP) to analyse imperfect competition of oligopoly producers in two-stage zonal power markets. In part II of this paper, we propose a solution algorithm which decomposes the proposed MILP model into several subproblems and solve them in parallel and iteratively. Our solution algorithm reduces the solution time of the MILP model and it allows us to analyze largescale examples. To tackle the multiple Subgame Perfect Nash Equilibria (SPNE) situation, we propose a SPNE-band approach. The SPNE band is split into several subintervals and the proposed solution algorithm finds a representative SPNE in each subinterval. Each subinterval is independent from each other, so this structure enables us to use parallel computing. We also design a pre-feasibility test to identify the subintervals without SPNE. Our proposed solution algorithm and our SPNE-band approach are demonstrated on the 6-node and the modified IEEE 30-node example systems. The computational tractability of our solution algorithm is illustrated for the IEEE 118-node and 300-node systems.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • M. Sarfati & M.R. Hesamzadeh & P. Holmberg, 2018. "Increase-Decrease Game under Imperfect Competition in Two-stage Zonal Power Markets – Part II: Solution Algorithm," Working Papers EPRG 1838, Energy Policy Research Group, Cambridge Judge Business School, University of Cambridge.
    • Handle: RePEc:enp:wpaper:eprg1838
    as

    Download full text from publisher

    File URL: https://www.jbs.cam.ac.uk/wp-content/uploads/2023/12/eprg-wp1838.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Victor DeMiguel & Huifu Xu, 2009. "A Stochastic Multiple-Leader Stackelberg Model: Analysis, Computation, and Application," Operations Research, INFORMS, vol. 57(5), pages 1220-1235, October.
    2. Sarfati, Mahir & Hesamzadeh, Mohammad Reza & Holmberg, Pär, 2018. "Increase-Decrease Game under Imperfect Competition in Two-stage Zonal Power Markets –​ Part II: Solution Algorithm," Working Paper Series 1254, Research Institute of Industrial Economics.
    3. M. Sarfati & M.R. Hesamzadeh & P. Holmberg, 2018. "Increase-Decrease Game under Imperfect Competition in Two-stage Zonal Power Markets – Part II: Solution Algorithm," Working Papers EPRG 1838, Energy Policy Research Group, Cambridge Judge Business School, University of Cambridge.
    4. 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).
    5. Dali Zhang & Huifu Xu & Yue Wu, 2010. "A two stage stochastic equilibrium model for electricity markets with two way contracts," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 71(1), pages 1-45, February.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Sarfati, M. & Hesamzadeh, M-R. & Holmberg, P., 2019. "Production efficiency of nodal and zonal pricing in imperfectly competitive electricity markets," Cambridge Working Papers in Economics 1919, Faculty of Economics, University of Cambridge.
    2. Holmberg, Pär & Tangerås, Thomas & Ahlqvist, Victor, 2018. "Central- versus Self-Dispatch in Electricity Markets," Working Paper Series 1257, Research Institute of Industrial Economics, revised 27 Mar 2019.
    3. Sarfati, Mahir & Hesamzadeh, Mohammad Reza & Holmberg, Pär, 2018. "Increase-Decrease Game under Imperfect Competition in Two-stage Zonal Power Markets –​ Part II: Solution Algorithm," Working Paper Series 1254, Research Institute of Industrial Economics.
    4. M. Sarfati & M.R. Hesamzadeh & P. Holmberg, 2018. "Increase-Decrease Game under Imperfect Competition in Two-stage Zonal Power Markets – Part II: Solution Algorithm," Working Papers EPRG 1838, Energy Policy Research Group, Cambridge Judge Business School, University of Cambridge.

    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. Sarfati, Mahir & Hesamzadeh, Mohammad Reza & Holmberg, Pär, 2018. "Increase-Decrease Game under Imperfect Competition in Two-stage Zonal Power Markets –​ Part II: Solution Algorithm," Working Paper Series 1254, Research Institute of Industrial Economics.
    2. Sarfati, Mahir & Hesamzadeh, Mohammed Reza & Holmberg, Pär, 2019. "Production Efficiency of Nodal and Zonal Pricing in Imperfectly Competitive Electricity Markets," Working Paper Series 1264, Research Institute of Industrial Economics.
    3. Dongyan Chen & Chunying Tian & Zhaobo Chen & Ding Zhang, 2022. "Competition among supply chains: the choice of financing strategy," Operational Research, Springer, vol. 22(2), pages 977-1000, April.
    4. Huifu Xu & Dali Zhang, 2013. "Stochastic Nash equilibrium problems: sample average approximation and applications," Computational Optimization and Applications, Springer, vol. 55(3), pages 597-645, July.
    5. Holmberg, Pär & Tangerås, Thomas & Ahlqvist, Victor, 2018. "Central- versus Self-Dispatch in Electricity Markets," Working Paper Series 1257, Research Institute of Industrial Economics, revised 27 Mar 2019.
    6. David Pozo & Enzo Sauma & Javier Contreras, 2017. "Basic theoretical foundations and insights on bilevel models and their applications to power systems," Annals of Operations Research, Springer, vol. 254(1), pages 303-334, July.
    7. Tsimopoulos, Evangelos G. & Georgiadis, Michael C., 2021. "Nash equilibria in electricity pool markets with large-scale wind power integration," Energy, Elsevier, vol. 228(C).
    8. Kwag, Kyuhyeong & Shin, Hansol & Oh, Hyobin & Yun, Sangmin & Kim, Tae Hyun & Hwang, Pyeong-Ik & Kim, Wook, 2023. "Bilevel programming approach for the quantitative analysis of renewable portfolio standards considering the electricity market," Energy, Elsevier, vol. 263(PD).
    9. Shahmohammadi, Ali & Sioshansi, Ramteen & Conejo, Antonio J. & Afsharnia, Saeed, 2018. "Market equilibria and interactions between strategic generation, wind, and storage," Applied Energy, Elsevier, vol. 220(C), pages 876-892.
    10. Holmberg, Pär & Willems, Bert, 2015. "Relaxing competition through speculation: Committing to a negative supply slope," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 236-266.
    11. Beck, Yasmine & Ljubić, Ivana & Schmidt, Martin, 2023. "A survey on bilevel optimization under uncertainty," European Journal of Operational Research, Elsevier, vol. 311(2), pages 401-426.
    12. Wen Zhou & Nikita Koptyug & Shutao Ye & Yifan Jia & Xiaolong Lu, 2016. "An Extended N-Player Network Game and Simulation of Four Investment Strategies on a Complex Innovation Network," PLOS ONE, Public Library of Science, vol. 11(1), pages 1-18, January.
    13. Javad Khazaei & Golbon Zakeri & Shmuel S. Oren, 2017. "Single and Multisettlement Approaches to Market Clearing Under Demand Uncertainty," Operations Research, INFORMS, vol. 65(5), pages 1147-1164, October.
    14. Jörg Fliege & Huifu Xu, 2011. "Stochastic Multiobjective Optimization: Sample Average Approximation and Applications," Journal of Optimization Theory and Applications, Springer, vol. 151(1), pages 135-162, October.
    15. Mestre, Guillermo & Sánchez-Úbeda, Eugenio F. & Muñoz San Roque, Antonio & Alonso, Estrella, 2022. "The arithmetic of stepwise offer curves," Energy, Elsevier, vol. 239(PE).
    16. Julien, Ludovic A., 2017. "On noncooperative oligopoly equilibrium in the multiple leader–follower game," European Journal of Operational Research, Elsevier, vol. 256(2), pages 650-662.
    17. Ludovic A. Julien, 2021. "Noncooperative oligopoly equilibrium in markets with hierarchical competition," EconomiX Working Papers 2021-14, University of Paris Nanterre, EconomiX.
    18. Dávid Csercsik, 2016. "Competition and Cooperation in a Bidding Model of Electrical Energy Trade," Networks and Spatial Economics, Springer, vol. 16(4), pages 1043-1073, December.
    19. Paul Neetzow & Roman Mendelevitch & Sauleh Siddiqui, 2018. "Modeling Coordination between Renewables and Grid: Policies to Mitigate Distribution Grid Constraints Using Residential PV-Battery Systems," Discussion Papers of DIW Berlin 1766, DIW Berlin, German Institute for Economic Research.
    20. Attila Tasnádi, 2010. "Quantity-setting games with a dominant firm," Journal of Economics, Springer, vol. 99(3), pages 251-266, April.

    More about this item

    Keywords

    Modified Benders decomposition; Multiple Subgame Perfect Nash equilibria; Parallel computing; Wholesale electricity market; Zonal pricing;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • L94 - Industrial Organization - - Industry Studies: Transportation and Utilities - - - Electric Utilities

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    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:enp:wpaper:eprg1838. 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: Ruth Newman (email available below). General contact details of provider: https://edirc.repec.org/data/jicamuk.html .

    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.