IDEAS home Printed from https://ideas.repec.org/a/eee/eneeco/v107y2022ics0140988322000020.html
   My bibliography  Save this article

Nonlinear inverse demand curves in electricity market modeling

Author

Listed:
  • Wan, Yi
  • Kober, Tom
  • Densing, Martin

Abstract

In large-scale energy market models, the price–demand relationship is usually represented by a linear function. In this paper, nonlinear demand functions are fitted to electricity market bid data; in particular, exponential and polynomial (cubic) functions are estimated from EPEX day-ahead data (i.e. Central Western European market area). The corresponding game-theoretic, large-scale electricity models were successfully solved using the Extended Mathematical Programming framework after a suitable adaptation for conjectural variations. Additionally, sufficient conditions for the existence of equilibrium solutions are tested. Numerical results show that nonlinear demand curves lead to an improved modeling especially in high price (peak) load periods and to lower levels of implied market power, which can be considered to be more realistic for markets that have strong transparency measures.

Suggested Citation

  • Wan, Yi & Kober, Tom & Densing, Martin, 2022. "Nonlinear inverse demand curves in electricity market modeling," Energy Economics, Elsevier, vol. 107(C).
    • Handle: RePEc:eee:eneeco:v:107:y:2022:i:c:s0140988322000020
    DOI: 10.1016/j.eneco.2022.105809
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0140988322000020
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.eneco.2022.105809?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. Cludius, Johanna & Hermann, Hauke & Matthes, Felix Chr. & Graichen, Verena, 2014. "The merit order effect of wind and photovoltaic electricity generation in Germany 2008–2016: Estimation and distributional implications," Energy Economics, Elsevier, vol. 44(C), pages 302-313.
    2. Lopez de Haro, S. & Sanchez Martin, P. & de la Hoz Ardiz, J.E. & Fernandez Caro, J., 2007. "Estimating conjectural variations for electricity market models," European Journal of Operational Research, Elsevier, vol. 181(3), pages 1322-1338, September.
    3. Abada, Ibrahim & Briat, Vincent & Massol, Olivier, 2013. "Construction of a fuel demand function portraying interfuel substitution, a system dynamics approach," Energy, Elsevier, vol. 49(C), pages 240-251.
    4. Benjamin F. Hobbs & J. S. Pang, 2007. "Nash-Cournot Equilibria in Electric Power Markets with Piecewise Linear Demand Functions and Joint Constraints," Operations Research, INFORMS, vol. 55(1), pages 113-127, February.
    5. Luis Orea & Jevgenijs Steinbuks, 2018. "Estimating Market Power In Homogenous Product Markets Using A Composed Error Model: Application To The California Electricity Market," Economic Inquiry, Western Economic Association International, vol. 56(2), pages 1296-1321, April.
    6. Ferris, Michael C. & Munson, Todd S., 2000. "Complementarity problems in GAMS and the PATH solver," Journal of Economic Dynamics and Control, Elsevier, vol. 24(2), pages 165-188, February.
    7. Weigt, Hannes & Hirschhausen, Christian von, 2008. "Price formation and market power in the German wholesale electricity market in 2006," Energy Policy, Elsevier, vol. 36(11), pages 4227-4234, November.
    8. Martin K. Perry, 1982. "Oligopoly and Consistent Conjectural Variations," Bell Journal of Economics, The RAND Corporation, vol. 13(1), pages 197-205, Spring.
    9. Alberto Orgaz & Antonio Bello & Javier Reneses, 2019. "A New Model to Simulate Local Market Power in a Multi-Area Electricity Market: Application to the European Case," Energies, MDPI, vol. 12(11), pages 1-15, May.
    10. Caliskan-Demirag, Ozgun & Chen, Youhua (Frank) & Li, Jianbin, 2010. "Channel coordination under fairness concerns and nonlinear demand," European Journal of Operational Research, Elsevier, vol. 207(3), pages 1321-1326, December.
    11. Ventosa, Mariano & Baillo, Alvaro & Ramos, Andres & Rivier, Michel, 2005. "Electricity market modeling trends," Energy Policy, Elsevier, vol. 33(7), pages 897-913, May.
    12. Thao Pham, 2019. "Market Power Issues in Liberalized Wholesale Electricity Markets: A Review of the Literature with a Look into the Future," Revue d'économie politique, Dalloz, vol. 129(3), pages 325-354.
    13. Panos, Evangelos & Densing, Martin, 2019. "The future developments of the electricity prices in view of the implementation of the Paris Agreements: Will the current trends prevail, or a reversal is ahead?," Energy Economics, Elsevier, vol. 84(C).
    14. Susanne Koschker & Dominik Möst, 2016. "Perfect competition vs. strategic behaviour models to derive electricity prices and the influence of renewables on market power," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(3), pages 661-686, July.
    15. Thao Pham, 2019. "Market Power Issues in Liberalized Wholesale Electricity Markets: A Review of the Literature with a Look into the Future," Post-Print hal-02568252, HAL.
    16. Lagarto, João & Sousa, Jorge A.M. & Martins, Álvaro & Ferrão, Paulo, 2014. "Market power analysis in the Iberian electricity market using a conjectural variations model," Energy, Elsevier, vol. 76(C), pages 292-305.
    17. Pape, Christian & Hagemann, Simon & Weber, Christoph, 2016. "Are fundamentals enough? Explaining price variations in the German day-ahead and intraday power market," Energy Economics, Elsevier, vol. 54(C), pages 376-387.
    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. Tavasoli, Ali & Fazli, Mehrdad & Ardjmand, Ehsan & Young, William A. & Shakeri, Heman, 2023. "Competitive pricing under local network effects," European Journal of Operational Research, Elsevier, vol. 311(2), pages 545-566.

    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. Panos, Evangelos & Densing, Martin, 2019. "The future developments of the electricity prices in view of the implementation of the Paris Agreements: Will the current trends prevail, or a reversal is ahead?," Energy Economics, Elsevier, vol. 84(C).
    2. Wolf-Peter Schill & Claudia Kemfert, 2011. "Modeling Strategic Electricity Storage: The Case of Pumped Hydro Storage in Germany," The Energy Journal, International Association for Energy Economics, vol. 0(Number 3), pages 59-88.
    3. Samuli Honkapuro & Jasmin Jaanto & Salla Annala, 2023. "A Systematic Review of European Electricity Market Design Options," Energies, MDPI, vol. 16(9), pages 1-26, April.
    4. Kamiński, Jacek, 2011. "Market power in a coal-based power generation sector: The case of Poland," Energy, Elsevier, vol. 36(11), pages 6634-6644.
    5. Goodarzi, Shadi & Perera, H. Niles & Bunn, Derek, 2019. "The impact of renewable energy forecast errors on imbalance volumes and electricity spot prices," Energy Policy, Elsevier, vol. 134(C).
    6. de Frutos Cachorro, Julia & Willeghems, Gwen & Buysse, Jeroen, 2020. "Exploring investment potential in a context of nuclear phase-out uncertainty: Perfect vs. imperfect electricity markets," Energy Policy, Elsevier, vol. 144(C).
    7. Auer, Benjamin R., 2016. "How does Germany's green energy policy affect electricity market volatility? An application of conditional autoregressive range models," Energy Policy, Elsevier, vol. 98(C), pages 621-628.
    8. Diana Bottger & Philipp Hartel, 2021. "On Wholesale Electricity Prices and Market Values in a Carbon-Neutral Energy System," Papers 2105.01127, arXiv.org.
    9. Schill, Wolf-Peter, 2011. "Electric Vehicles in Imperfect Electricity Markets: The case of Germany," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 39(10), pages 6178-6189.
    10. Gürtler, Marc & Paulsen, Thomas, 2018. "The effect of wind and solar power forecasts on day-ahead and intraday electricity prices in Germany," Energy Economics, Elsevier, vol. 75(C), pages 150-162.
    11. Alberto Orgaz & Antonio Bello & Javier Reneses, 2019. "A New Model to Simulate Local Market Power in a Multi-Area Electricity Market: Application to the European Case," Energies, MDPI, vol. 12(11), pages 1-15, May.
    12. Steinhäuser, J. Micha & Eisenack, Klaus, 2020. "How market design shapes the spatial distribution of power plant curtailment costs," Energy Policy, Elsevier, vol. 144(C).
    13. Gabriel, Steven A. & Leuthold, Florian U., 2010. "Solving discretely-constrained MPEC problems with applications in electric power markets," Energy Economics, Elsevier, vol. 32(1), pages 3-14, January.
    14. Brown, David P. & Eckert, Andrew & Eckert, Heather, 2018. "Carbon pricing with an output subsidy under imperfect competition: The case of Alberta's restructured electricity market," Resource and Energy Economics, Elsevier, vol. 52(C), pages 102-123.
    15. Kamiński, Jacek, 2012. "The development of market power in the Polish power generation sector: A 10-year perspective," Energy Policy, Elsevier, vol. 42(C), pages 136-147.
    16. Concettini, Silvia & Creti, Anna & Gualdi, Stanislao, 2022. "Assessing the regional redistributive effect of renewable power production through a spot market algorithm simulator: The case of Italy," Energy Economics, Elsevier, vol. 114(C).
    17. Christian Pape & Arne Vogler & Oliver Woll & Christoph Weber, 2017. "Forecasting the distributions of hourly electricity spot prices," EWL Working Papers 1705, University of Duisburg-Essen, Chair for Management Science and Energy Economics, revised May 2017.
    18. Kallabis, Thomas & Pape, Christian & Weber, Christoph, 2016. "The plunge in German electricity futures prices – Analysis using a parsimonious fundamental model," Energy Policy, Elsevier, vol. 95(C), pages 280-290.
    19. Jan Abrell & Hannes Weigt, 2012. "Combining Energy Networks," Networks and Spatial Economics, Springer, vol. 12(3), pages 377-401, September.
    20. Berk, Istemi & Çam , Eren, 2019. "The Shift in Global Crude Oil Market Structure: A model-based analysis of the period 2013–2017," EWI Working Papers 2019-5, Energiewirtschaftliches Institut an der Universitaet zu Koeln (EWI).

    More about this item

    Keywords

    Electricity market modeling; Nonlinear inverse demand curve; Market power; Extended Mathematical Programming (EMP);
    All these keywords.

    JEL classification:

    • Q41 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Energy - - - Demand and Supply; Prices
    • Q40 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Energy - - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • Q49 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Energy - - - Other

    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:eee:eneeco:v:107:y:2022:i:c:s0140988322000020. 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.elsevier.com/locate/eneco .

    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.