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Investment Equilibria

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Investment in Electricity Generation and Transmission

Abstract

Investment equilibrium analysis constitutes a useful framework for regulators to gain insights into the behavior of strategic producers and the evolution of generation investment in an electricity market. Such a perspective enables regulators to design better market rules, which in turn may contribute to increasing the competitiveness of the market and to stimulating investment in generation capacity. This chapter provides a methodology based on optimization and complementarity modeling for identifying generation investment equilibria in a network-constrained electricity market.

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References

  1. Baldick, R., Hogan, W.W.: Stability of supply function equilibria implications for daily versus hourly bids in a poolco market. J. Regul. Econ. 30(2), 119–139 (2006)

    Article  Google Scholar 

  2. Debreu, G.: A social equilibrium existence theorem. Proc. Natl. Acad. Sci. U. S. A. 38(10), 886–893 (1952)

    Article  MathSciNet  MATH  Google Scholar 

  3. De Wolf, D., Smeers, Y.: A stochastic version of a Stackelberg-Nash-Cournot equilibrium model. Manag. Sci. 43(2), 190–197 (1997)

    Article  MATH  Google Scholar 

  4. Facchinei, F., Kanzow, C.: Generalized Nash equilibrium problems. 4OR - A Q. J. Oper. Res. 5(3), 173–173 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  5. Fletcher, R., Leyffer, S., Ralph, D., Scholtes, S.: Local convergence of SQP methods for mathematical programs with equilibrium constraints. SIAM J. Optim. 17(1), 259–286 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  6. Fortuny-Amat, J., McCarl, B.: A representation and economic interpretation of a two-level programming problem. J. Oper. Res. Soc. 32(9), 783–792 (1981)

    Article  MathSciNet  MATH  Google Scholar 

  7. Gabriel, S., Conejo, A.J., Hobbs, B.F., Fuller, D., Ruiz, C.: Complementarity Modeling in Energy Markets. Springer, New York (2012)

    MATH  Google Scholar 

  8. Garcia, A., Shen, Z.: Equilibrium capacity expansion under stochastic demand growth. Oper. Res. 58(1), 30–42 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  9. Hu, X., Ralph, D.: Using EPECs to model bilevel games in restructured electricity markets with locational prices. Oper. Res. 55(5), 809–827 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  10. Kazempour, S.J., Conejo, A.J., Ruiz, C.: Generation investment equilibria with strategic producers - Part I: formulation. IEEE Trans. Power Syst. 28(3), 2613–2622 (2013)

    Article  Google Scholar 

  11. Kazempour, S.J., Conejo, A.J., Ruiz, C.: Generation investment equilibria with strategic producers - Part II: case studies. IEEE Trans. Power Syst. 28(3), 2623–2631 (2013)

    Article  Google Scholar 

  12. Leyffer, S., Munson, T.: Solving multi-leader-common-follower games. Optim. Methods Softw. 25(4), 601–623 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  13. Martin, S., Smeers, Y., Aguado, J.A.: A stochastic two settlement equilibrium model for electricity markets with wind generation. IEEE Trans. Power Syst. 30(1), 233–245 (2015)

    Article  Google Scholar 

  14. Metzler, C., Hobbs, B.F., Pang, J.-S.: Nash-Cournot equilibria in power markets on a linearized DC network with arbitrage: formulations and properties. Netw. Spat. Econ. 3(2), 123–150 (2003)

    Article  Google Scholar 

  15. Murphy, F.H., Smeers, Y.: On the impact of forward markets on investment in oligopolistic markets wtih reference to electricity. Oper. Res. 58(3), 515–528 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  16. Nash, J.: Equilibrium points in n-person games. Proc. Natl. Acad. Sci. U. S. A. 36(1), 48–49 (1950)

    Article  MathSciNet  MATH  Google Scholar 

  17. Nash, J.: Non-cooperative games. Ann. Math. 54(2), 286–295 (1951)

    Article  MathSciNet  MATH  Google Scholar 

  18. Pandzic, H., Conejo, A.J., Kuzle, I.: An EPEC approach to the yearly maintenance scheduling of generating units. IEEE Trans. Power Syst. 28(2), 922–930 (2013)

    Article  Google Scholar 

  19. Ruiz, C., Conejo, A.J., Smeers, Y.: Equilibria in an oligopolistic electricity pool with stepwise offer curves. IEEE Trans. Power Syst. 27(2), 752–761 (2012)

    Article  Google Scholar 

  20. Scheel, H., Scholtes, S.: Mathematical programs with complementarity constraints: stationarity, optimality, and sensitivity. Math. Oper. Res. 25(1), 1–22 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  21. Shanbhag, U.V., Infanger, G., Glynn, P.W.: A complementarity framework for forward contracting under uncertainty. Oper. Res. 59(4), 810–834 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  22. Sonja, S., Micha, B.: Relaxation approach for equilibrium problems with equilibrium constraints. Comput. Oper. Res. 41, 333–345 (2012)

    MathSciNet  Google Scholar 

  23. Wogrin, S., Barquín, J., Centeno, E.: Capacity expansion equilibria in liberalized electricity markets: an EPEC approach. IEEE Trans. Power Syst. 28(2), 1531–1539 (2013)

    Article  Google Scholar 

  24. Yao, J., Adler, I., Oren, S.S.: Modeling and computing two-settlement oligopolistic equilibrium in a congested electricity network. Oper. Res. 56(1), 34–47 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  25. Zhang, X.-P.: Restructured Electric Power Systems: Analysis of Electricity Markets With Equilibrium Models. ser. Power Engineering. Wiley-IEEE Press, Hoboken, NJ (2010)

    Google Scholar 

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Author information

Authors and Affiliations

  1. Departments of Integrated Systems Engineering, Electrical and Computer Engineering, The Ohio State University, Columbus, OH, USA

    Antonio J. Conejo

  2. E.T.S.I. Industriales, Universidad de Castilla—La Mancha, Ciudad Real, Spain

    Luis Baringo

  3. Department of Electrical Engineering, Technical University of Denmark, Kongens Lyngby, Denmark

    S. Jalal Kazempour

  4. Department of Statistical Science, University College London, London, UK

    Afzal S. Siddiqui

  5. Stockholm University, Stockholm, Sweden

    Afzal S. Siddiqui

Authors
  1. Antonio J. Conejo
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  2. Luis Baringo
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  3. S. Jalal Kazempour
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  4. Afzal S. Siddiqui
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Corresponding author

Correspondence to Antonio J. Conejo .

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© 2016 Springer International Publishing Switzerland

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Conejo, A.J., Baringo, L., Kazempour, S.J., Siddiqui, A.S. (2016). Investment Equilibria. In: Investment in Electricity Generation and Transmission. Springer, Cham. https://doi.org/10.1007/978-3-319-29501-5_6

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  • DOI: https://doi.org/10.1007/978-3-319-29501-5_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-29499-5

  • Online ISBN: 978-3-319-29501-5

  • eBook Packages: EnergyEnergy (R0)

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