Transmission Fixed Cost Allocation Using Game Theory in Multilateral Transactions of Restructured Electricity Market

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In deregulated electricity markets there is a strong need for effective allocation of fixed costs to market participants. The conventional usage based methods currently employed in market scenario may fail to send right economic signals. Hence in this paper, cooperative game theory is applied for power system fixed cost allocation. Increasing competition in the energy market can help maximize customers’ payoffs. This can be achieved by applying game theory. In this regard, two solution methodologies such as Nucleolus and Shapley value are adopted in a Multi-lateral market. Both the methods have their pros and cons, while it can be inferred that Shapley value is a more preferable method when the solution is in the core of the game. In this paper, these methods are applied in case of IEEE 14 bus, New England 39 bus and Indian 75 bus power system and the results obtained are compared with the conventional usage based methods
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Core; Coalition; Cooperative Game; Imputation; Nucleolus; Payoff; Shapely

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G.C.Stamsis and I.Erlich , “Use of Cooperative Game Theory in Power System Fixed Cost Allocation”, IEE Proc. Generation, Transmission and Distribution, Vol.151, No.3, May 2004.

Research thesis on “Power Transmission cost calculation in deregulated electricity market” by George Stamsis.

Green R; “Electricity Transmission Pricing: an International Comparison”, Utility Policy, 1997, 6, (3), pp 177-184.

Lima.J.W.M. “Allocation of Transmission Fixed Charges: An Overview”, IEEE Trans. Power System, 1996,11,(4),pp.1409-1418

“Introduction to Game Theory and its application in Electrical Power Markets”, IEEE Computer Applications in Power, CAP Tutorial.

Thomas L.C. “Game Theory and its application” (Ellis Horwood Limited, Chichester, 1984).

D.B.Gillies, “Solution to general non zero sum games” in Contribution to the Theory of Games, Vol IV, A.W. Tuckerand D.R.Luce, Ed Princeton: Princeton University Press, 1959, pp 47-85.

Schmeidler, D “The nucleolus of a characteristic Function game”, SIAM J. Appl. Math., 1969, 17, pp. 1163 -1170

L.S.Shapley, “A value of n person games”, in Contribution to the Theory Of Games.

Tsukamoto, Y., and Iyoda, I.: “Allocation of fixed transmission cost to wheeling transactions by cooperative game theory”, IEEE Trans.Power Syst., 1996, 11, (2), pp. 620–629

Singh, H., Hao, S., Papalexopoulos, A., and Obessis, M.: ‘Cost allocation in electric power networks using cooperative game theory’. in Proc. 12th Power System Computation Conf. (PSCC), Dresden, Germany, 1996, pp. 802–807

Zolezzi, J.M., and Rudnick, H.: ‘Transmission cost allocation by cooperative games and coalition formation’, IEEE Trans. Power Syst., 2002, 17, (4), pp. 1008–1015.

Contreras, J., and Wu, F.F.: ‘A kernel-oriented algorithm for transmission expansion planning’, IEEE Trans. Power Syst., 2002, 15, (4), pp. 1434–1440

Shapley, L.S.: ‘Contributions to the theory of games II’ (Princeton University Press, Princeton, NJ, 1953), pp. 307–317

Tan, X., and Lie, T.T.: ‘Application of the Shapley value on transmission cost allocation in the competitive power environment’, IEE Proc., Gener. Transm. Distrib., 2002, 149, (1), pp. 15–20

P.K.Iyambo, R.Tzoneva, “Transient Stability Analysis of the IEEE 14-Bus Electric Power System”, IEEE conference, Africon 2007.

New England 39 bus system data “”.

75 bus Indian power system data “Data of Uttar Pradesh State, INDIA”.

Nnamdi I. Nwulu , Murat Fahrioglu, “Power System Demand Management Contract Design: a Comparison between Game Theory and Artificial Neural Networks” IREMOS, Vol.4,No.1,pp.104-112,Feb 2011 (Part A).

Mehdi Zareian Jahromi, Mohsen Rahmanian, Roohollah Fadaeinedjad, and Masoud Rashidinejad, “A Novel Security-Considered Transmission and Generation Expansion Planning Using Game Theory and ANN” IREMOS, Vol.5, No.1, pp.394-402, Feb 2012 (Part B).

Jahromi, M.Z., Rahmanian, M., Fadaeinedjad, R., Rashidinejad, M., A novel security-considered transmission and generation expansion planning using game theory and ANN, (2012) International Review on Modelling and Simulations (IREMOS), 5 (1), pp. 394-402


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