Transmission Cost Allocation Using Co-Operative Game Theory Concepts

Smitha M. S. G.*, SatyaRamesh.P.V.**, Sujatha.P***
*Research Scholar, Department of Electrical and Electronics Engineering, Jawaharlal Nehru Technological University, Anantapur, India.
** Divisional Engineer, State Load Dispatch Center, Andhra Pradesh Transmission Corporation, India.
*** Professor, Department of Electrical and Electronics Engineering, JNTUA College of Engineering, Ananthapuramu, India.
Periodicity:April - June'2018
DOI : https://doi.org/10.26634/jee.11.4.14660

Abstract

Transmission cost allocation is an emerging topic of interest in the deregulated power system. In this paper, co-operative game theory concepts such as Shapley value, Tau value, Nucleolus and Proportional Nucleolus methods are applied for analyzing the allocation of transmission cost among the players. Studies on transmission cost allocation based on Shapley and Nucleolus have been done earlier. The Proportional Nucleolus which works on extended core concept is utilized in the co-operative game for allocating transmission cost to the players and gives solution for co-operative games in the empty-core environment also. The structure of the game and its fairness is also discussed in this paper. The transmission cost allocation based on the co-operative game methods are systematically analyzed and compared with existing tracing methods. The proposed methods are carried out by illustrating on the sample six bus system. The paper emphasis the proportional nucleolus of co-operative game theory is the best suitable method for allocating transmission costs.

Keywords

Nucleolus, Proportional Nucleolus, Shapley Value, Tau Value, Tracing Method, Transmission Cost.

How to Cite this Article?

Smitha. M.S.G., Ramesh. P. V. S., and Sujatha, P. (2018). Transmission Cost Allocation Using Cooperative Game Theory Concepts. i-manager’s Journal on Electrical Engineering, 11(4), 18-26. https://doi.org/10.26634/jee.11.4.14660

References

[1]. Andreoiu, A., Bhattacharya, K., & Canizares, C. (2005). Pricing power system stabilisers using game theory. IEE Proceedings-Generation, Transmission and Distribution, 152(6), 780-786.
[2]. Bai, X., Shahidehpour, S. M., Ramesh, V. C., & Yu, E. (1997). Transmission analysis by Nash game method. IEEE Transactions on Power Systems, 12(3), 1046-1052.
[3]. Contreras, J., & Wu, F. F. (2000). A kernel-oriented algorithm for transmission expansion planning. IEEE Transactions on Power Systems, 15(4), 1434-1440.
[4]. Da Silva, E. L., Morales, J. C., & De Melo, A. C. G. (2001). Allocating congestion cost using game theory. In Power Tech Proceedings, 2001 IEEE Porto (pp. 1-5).
[5]. Ferrero, R. W., Shahidehpour, S. M., & Ramesh, V. C. (1997). Transaction analysis in deregulated power systems using game theory. IEEE Transactions on Power Systems, 12(3), 1340-1347.
[6]. Gomez, J. C. (2003). An extension of the core solution concept (No. 04-01). Discussion papers, Institute of Economics, University of Copenhagen, Denmark.
[7]. Hsieh, S. C., & Wang, H. M. (2002, December). Allocation of transmission losses based on cooperative game theory and current injection models. In Industrial Technology, 2002. IEEE ICIT'02. 2002 IEEE International Conference on (Vol. 2, pp. 850-853). IEEE.
[8]. Lemaire, J. (1984). An application of game theory: cost allocation. ASTIN Bulletin: The Journal of the IAA, 14(1), 61-81.
[9]. Lo, K. L., & Lozano, C. A. (2000). Game theory application for determining wheeling charges. In Electric Utility Deregulation and Restructuring and Power Technologies, 2000. Proceedings. DRPT 2000. International Conference on (pp. 308-313). IEEE.
[10]. Minoia, A., Ernst, D., Dicorato, M., Trovato, M., & Ilic, M. (2006). Reference transmission network: A game theory approach. IEEE Transactions on Power Systems, 21(1), 249-259.
[11]. Papalexopoulos, A., & Obessis, M. (1996). Cost allocation in electric power networks using Cooperative Game Theory. Pacific Gas and Electric Company, San Francisco, California.
[12]. Rathore, P., Agnihotri, G., Khan, B., & Naidu, G. (2014). Transmission usage and cost allocation using Shapley value and tracing method: A comparison. Electrical and Electronics Engineering: An International Journal (ELELIJ), 3, 11-29.
[13]. Ruiz, P. A., & Contreras, J. (2007). An effective transmission network expansion cost allocation based on game theory. IEEE Transactions on Power Systems, 22(1), 136-144.
[14]. Satyaramesh, P. V., & Radhakrishna, C. (2009). Use of Cooperative Game Theory concepts for loss allocation in bilateral electricity markets. International Journal of Power & Energy Systems, 29(4), 272.
[15]. Sore, F., Rudnick, H., & Zolezzi, J. (2006). Definition of an efficient transmission system using cooperative games theory. IEEE Transactions on Power Systems, 21(4), 1484-1492.
[16]. Stamtsis, G. C., & Erlich, I. (2004). Use of cooperative game theory in power system fixed-cost allocation. IEE Proceedings-Generation, Transmission and Distribution, 151(3), 401-406.
[17]. Tsukamoto, Y., & Iyoda, I. (1996). Allocation of fixed transmission cost to wheeling transactions by cooperative game theory. IEEE Transactions on Power Systems, 11(2), 620-629.

Purchase Instant Access

Single Article

North Americas,UK,
Middle East,Europe
India Rest of world
USD EUR INR USD-ROW
Pdf 35 35 200 20
Online 35 35 200 15
Pdf & Online 35 35 400 25

If you have access to this article please login to view the article or kindly login to purchase the article
Options for accessing this content:
  • If you would like institutional access to this content, please recommend the title to your librarian.
    Library Recommendation Form
  • If you already have i-manager's user account: Login above and proceed to purchase the article.
  • New Users: Please register, then proceed to purchase the article.