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Nonlinear inverse demand curves in electricity market modeling

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  • 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
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. Ventosa, Mariano & Baillo, Alvaro & Ramos, Andres & Rivier, Michel, 2005. "Electricity market modeling trends," Energy Policy, Elsevier, vol. 33(7), pages 897-913, May.
    6. 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.
    7. 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.
    8. 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).
    9. 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.
    10. 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.
    11. 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.
    12. Martin K. Perry, 1982. "Oligopoly and Consistent Conjectural Variations," Bell Journal of Economics, The RAND Corporation, vol. 13(1), pages 197-205, Spring.
    13. 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.
    14. 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.
    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.
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    Cited by:

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    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

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