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Variational Inequality Models of Restructured Electricity Systems

  • Olivier Daxhelet
  • Yves Smeers
Part of the Applied Optimization book series (APOP, volume 50)

Abstract

Electricity systems are being restructured throughout the world (see [18, 34] for general overviews of the phenomenon). The literature on the subject is now plentiful; it is directed to both academic and professional audiences. It embraces texts on systems descriptions, antitrust and regulatory cases, as well as economic or computational models. Some publications like the Electricity Journal appear to be almost entirely devoted to the various issues generated by the reorganization of the electricity industry. This explosion of interest is due to a major feature of electricity restructuring: the overall process appears to be unusually difficult (see [31] for a discussion of the origins of these difficulties). As a result different paradigms have been proposed and no two systems, even when inspired by the same principles, are identical. Experience with existing systems is now growing but many questions remain. This diversity of paradigms and situations, with no clear cut indication of what is right and wrong, is at the origin of this explosion of interest.

Keywords

Variational Inequality Market Power Problem Versus Infrastructure Cost Bilateral Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1.
    ] Boucher, J. and Y. Smeers (1999). Alternative models of restructured electricity systems. Part 1: No market power. Mimeo, CORE Discussion Paper 9950, Université catholique de Louvain, Louvain-la-Neuve, Belgium. To appear in Operations Research.Google Scholar
  2. [2]
    Boucher, J., Ghilain, B. and Y. Smeers (1998). Security-constrained dispatch gives financially and economically significant nodal prices. The Electricity Journal, 53–59.Google Scholar
  3. [3]
    Chan, D. and J.S. Pang (1989). The Generalized quasi-variational inequality problem. Mathematics of Operations Research, 212–222.Google Scholar
  4. [4]
    Chao, H.-p. and S. Peck (1996). A market mechanism for electric power transmission. Journal of Regulatory Economics, 10, 25–60.CrossRefGoogle Scholar
  5. [5]
    Chao, H.-p. and S. Peck (1997). An institutional design for an electricity contract market with central dispatch. The Energy Journal, 18(1), 85–110.CrossRefGoogle Scholar
  6. [6]
    Chao, H.-p. and S. Peck (1998). Reliability management in competitive electricity markets. Journal of Regulatory Economics, 3, 189–200.CrossRefGoogle Scholar
  7. [7]
    Dafermos, S. (1983). An iterative scheme for variational inequalities. Mathematical Programming, 26, 40–47.MathSciNetzbMATHCrossRefGoogle Scholar
  8. [8]
    Debreu, G. (1952). A social equilibrium existence theorem. Proceedings of the National Academy of Sciences U.S.A., 38, 886–893.MathSciNetzbMATHCrossRefGoogle Scholar
  9. [9]
    EC Energy Monthly (1999). Commission, industry rift over transmission pricing. Financial Times, 122/9.Google Scholar
  10. [10]
    Eurelectric (1998). Draft report on national transmission tariffs. Unipede/Eurelectric, Brussels, November 18, 1998.Google Scholar
  11. [11]
    Greenberg, H.J. and F.H. Murphy (1985). Computing regulated market equilibria with mathematical programming. Operations Research, 35(5), 935–955.MathSciNetCrossRefGoogle Scholar
  12. [12]
    Harker P.T. (1991). Generalized Nash Games and Quasi-Variational Inequalities. European Journal of Operations Research, 54, 81–94.zbMATHCrossRefGoogle Scholar
  13. [13]
    Harker P. T. and J.S. Pang (1990). Finite-dimensional variational inequality and non-linear complementarity problems: a survey of theory, algorithm and applications. Mathematical Programming, 48B, 161–220.MathSciNetCrossRefGoogle Scholar
  14. [14]
    Harvey, S.M., Hogan, W.W. and S. Pope (1997). Transmission capacity reservations and transmission congestion contracts. Center for Business and Government, Harvard University, Cambridge (Mass.).Google Scholar
  15. [15]
    Hobbs, B.F. (1999). Linear complementarity models of Nash Cournot competition in bilateral and POOLCO power markets. Submitted to IEEE Transactions on Power Systems, June 1999.Google Scholar
  16. [16]
    Hogan, W. (1992). Contract networks for electric power transmission. Journal of Regulatory Economics, 4, 211–242.CrossRefGoogle Scholar
  17. [17]
    Hogan, W. (1997). A market power model with strategic interaction in electricity network. The Energy Journal, 18(4), 107–141.CrossRefGoogle Scholar
  18. [18]
    Hunt, S. and G. Shuttleworth (1996). Competition and choice in electricity. New York, John and Wiley and Sons.Google Scholar
  19. [19]
    Joskow, P. and J. Tirole (2000). Transmission rights and market power in electric power networks. MIT-CEEPR 2000–002 Working Paper. Center for Energy and Environmental Policy Research, Massachusetts Institute of Technology.Google Scholar
  20. [20]
    Murphy, F.H., Sherali, H.D. and A.L. Soyster (1983). Stackelberg-Nash-Cournot equilibria: Characterisation and computation. Operations Research, 31(3), 253–276.MathSciNetzbMATHGoogle Scholar
  21. [21]
    Newbery, D.M. and M.G. Pollit (1997). The restructuring and privatisation of the CEGB — was it worth it. Journal of Industrial Economics, 45(3), 269–303.CrossRefGoogle Scholar
  22. [22]
    Oren, S.S. (1997). Economic inefficiency of passive transmission rights in congested electricity systems with competitive generation. The Energy Journal, 18(1), 63–84.CrossRefGoogle Scholar
  23. [23]
    Oren, S.S. (1998). Authority and responsibility of the ISO: objectives, options and tradeoffs. In H.-P. Chao and H. Huntington (eds.), Designing Competitive Electricity Markets. Kluwer’s International Series.Google Scholar
  24. [24]
    Oren, S., Spiller, P. Varariya, P. and F. Wu (1995). Nodal prices and transmission rights: a critical appraisal. The Electricity Journal, 8, 24–35.CrossRefGoogle Scholar
  25. [25]
    Rosen, J.B. (1965). Existence and uniqueness of equilibrium points for concave n-person game. Econometrica, 33, 520–534.MathSciNetzbMATHCrossRefGoogle Scholar
  26. [26]
    Schweppe, F.C., Caramanis, M.C. and R.E. Bohm (1986). The costs of wheeling and optimal wheeling rates. IEEE Transactions on Power System, Volume PWRS-1, No. 1.Google Scholar
  27. [27]
    Schweppe, F.C., Caramanis, M.C. Tabors, R.E. and R.E. Bohn (1988). Spot pricing of electricity. Boston, Kluwer Academic Publishers.CrossRefGoogle Scholar
  28. [28]
    Smeers, Y. and J.-Y. Wei (1997). Do we need a power exchange if there are enough power marketers. CORE Discussion Paper 9760, Université catholique de Louvain, Louvain-la-Neuve, Belgium.Google Scholar
  29. [29]
    Stoft, S. (1999). Financial transmission rights meet Cournot: How TCCS curb market power. The Energy Journal, 20(1), 1–23.CrossRefGoogle Scholar
  30. [30]
    Wilson, R.B. (1998). Design principles. In H.-P. Chao and H. Huntington (eds.), Designing Competitive Electricity Markets. Kluwer’s International Series.Google Scholar
  31. [31]
    Wilson, R.B. (1999). Market architecture. Mimeo, Stanford University, Stanford.Google Scholar
  32. [32]
    Wolfram, CD. (1999). Measuring duopoly in the British electricity spot market. American Economic Review, 89(4), 805–826.CrossRefGoogle Scholar
  33. [33]
    Wu, F. Varaiya, P., Spiller, P. and S. Oren (1996). Folk theorems on transmission access: Proofs and counterexample. Journal of Regulatory Economics, 10(1), 5–24.CrossRefGoogle Scholar
  34. [34]
    Yajima Masajyuki (1997). Deregulatory reforms of the electricity supply industry. Quorum books, Westport Connecticut.Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2001

Authors and Affiliations

  • Olivier Daxhelet
    • 1
  • Yves Smeers
    • 2
  1. 1.ELECTRABELR&D Energy MarketsLouvain-la-NeuveBelgium
  2. 2.COREUniversité catholique de LouvainLouvain-la-NeuveBelgium

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