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Dynamic Spatial Auction Market Models with General Cost Mappings

Author

Listed:
  • Elisabetta Allevi

    (University of Brescia)

  • Adriana Gnudi

    (University of Bergamo)

  • Igor V. Konnov

    (Kazan Federal University)

  • Giorgia Oggioni

    (University of Brescia)

Abstract

The deregulation of electricity markets in Europe has deeply changed the organization of this sector. Vertically integrated generating companies have been unbundled to create competition and to increase the competitiveness of electricity markets. Directive 96/92/EC was issued by the European Commission to liberalize electricity markets and to pave the way for the creation of the Internal Electricity Market. In particular, this Directive aimed at promoting the competition in the activities of electricity generation and wholesale through the creation of a “marketplace” and the maximization of transparency and efficiency. Competition in European day-ahead electricity markets has been established through auction markets where electricity producers and consumers offer/bid prices and volumes. This paper suggests a dynamic equilibrium model for a system of auction markets linked by transmission lines and subject to energy balance and transmission constraints, such as those characterizing restructured electricity markets. This model is treated as a system of variational inequalities with arbitrary monotone mappings. An inexact splitting type method is proposed to find its solution. Numerical experiments are conducted on the Italian day-ahead electricity market.

Suggested Citation

  • Elisabetta Allevi & Adriana Gnudi & Igor V. Konnov & Giorgia Oggioni, 2017. "Dynamic Spatial Auction Market Models with General Cost Mappings," Networks and Spatial Economics, Springer, vol. 17(2), pages 367-403, June.
    • Handle: RePEc:kap:netspa:v:17:y:2017:i:2:d:10.1007_s11067-016-9330-1
    DOI: 10.1007/s11067-016-9330-1
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    References listed on IDEAS

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    1. WEI, Jing-Yuan & SMEERS, Yves, 1999. "Spatial oligopolistic electricity models with Cournot generators and regulated transmission prices," LIDAM Reprints CORE 1454, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Jacqueline Boucher & Yves Smeers, 2001. "Alternative Models of Restructured Electricity Systems, Part 1: No Market Power," Operations Research, INFORMS, vol. 49(6), pages 821-838, December.
    3. Anna Nagurney, 2000. "Sustainable Transportation Networks," Books, Edward Elgar Publishing, number 2069.
    4. Maria Vespucci & Francesca Maggioni & Maria Bertocchi & Mario Innorta, 2012. "A stochastic model for the daily coordination of pumped storage hydro plants and wind power plants," Annals of Operations Research, Springer, vol. 193(1), pages 91-105, March.
    5. Ibrahim Abada & Steven Gabriel & Vincent Briat & Olivier Massol, 2013. "A Generalized Nash–Cournot Model for the Northwestern European Natural Gas Markets with a Fuel Substitution Demand Function: The GaMMES Model," Networks and Spatial Economics, Springer, vol. 13(1), pages 1-42, March.
    6. Hammond, David & Beullens, Patrick, 2007. "Closed-loop supply chain network equilibrium under legislation," European Journal of Operational Research, Elsevier, vol. 183(2), pages 895-908, December.
    7. Nagurney, Anna & Dong, June & Zhang, Ding, 2002. "A supply chain network equilibrium model," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 38(5), pages 281-303, September.
    8. Nagurney, Anna & Liu, Zugang & Cojocaru, Monica-Gabriela & Daniele, Patrizia, 2007. "Dynamic electric power supply chains and transportation networks: An evolutionary variational inequality formulation," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 43(5), pages 624-646, September.
    9. Ibrahim Abada & Pierre-André Jouvet, 2013. "A stochastic generalized Nash-Cournot model for the northwestern European natural gas markets: The S-GaMMES model," Working Papers 1308, Chaire Economie du climat.
    10. Oggioni, G. & Murphy, F.H. & Smeers, Y., 2014. "Evaluating the impacts of priority dispatch in the European electricity market," Energy Economics, Elsevier, vol. 42(C), pages 183-200.
    11. Igor Konnov, 2009. "Decomposition Approaches for Constrained Spatial Auction Market Problems," Networks and Spatial Economics, Springer, vol. 9(4), pages 505-524, December.
    12. Wei Jing-Yuan & Yves Smeers, 1999. "Spatial Oligopolistic Electricity Models with Cournot Generators and Regulated Transmission Prices," Operations Research, INFORMS, vol. 47(1), pages 102-112, February.
    13. DAXHELET, Olivier & SMEERS, Yves, 2001. "Variational inequality models of restructured electricity systems," LIDAM Reprints CORE 1507, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    14. Min Tao & Xiaoming Yuan, 2012. "An inexact parallel splitting augmented Lagrangian method for monotone variational inequalities with separable structures," Computational Optimization and Applications, Springer, vol. 52(2), pages 439-461, June.
    15. Nagurney, Anna & Toyasaki, Fuminori, 2005. "Reverse supply chain management and electronic waste recycling: a multitiered network equilibrium framework for e-cycling," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 41(1), pages 1-28, January.
    16. 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.
    17. OGGIONI, Giorgia & MURPHY, Frederic H. & SMEERS, Yves, 2014. "Evaluating the impacts of priority dispatch in the European electricity market," LIDAM Reprints CORE 2554, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    18. P. Daniele & A. Maugeri & W. Oettli, 1999. "Time-Dependent Traffic Equilibria," Journal of Optimization Theory and Applications, Springer, vol. 103(3), pages 543-555, December.
    19. BOUCHER , Jacqueline & SMEERS, Yves, 2001. "Alternative models of restructured electricity systems, part 1: no market power," LIDAM Reprints CORE 1538, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    20. Tan Miller & Terry Friesz & Roger Tobin & Changhyun Kwon, 2007. "Reaction Function Based Dynamic Location Modeling in Stackelberg–Nash–Cournot Competition," Networks and Spatial Economics, Springer, vol. 7(1), pages 77-97, March.
    21. Patrizia Daniele, 2006. "Dynamic Networks and Evolutionary Variational Inequalities," Books, Edward Elgar Publishing, number 3516.
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    Cited by:

    1. Igor Konnov, 2021. "Variational Inequality Type Formulations of General Market Equilibrium Problems with Local Information," Journal of Optimization Theory and Applications, Springer, vol. 188(2), pages 332-355, February.
    2. E. Allevi & A. Gnudi & I. V. Konnov & G. Oggioni, 2022. "Dynamic Spatial Equilibrium Models: an Application to the Natural Gas Spot Markets," Networks and Spatial Economics, Springer, vol. 22(2), pages 205-241, June.
    3. Hmaed Najafi Alamdarlo & Fariba Riyahi & Mohamad Hasan Vakilpoor, 2019. "Wheat Self-Sufficiency, Water Restriction and Virtual Water Trade in Iran," Networks and Spatial Economics, Springer, vol. 19(2), pages 503-520, June.

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