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Analytical Solution to Balanced Quadratic Cooperative Game and its Application to Transmission Loss Allocation


Affiliations
1 Aurora’s Technoogical Research Instiute, Andhra Padesh, India
2 Aurora’s Engineering College, Bhongir
3 JNT University-, Hyderabad, Andhra Pradesh, India
 

The coalition values of the transmission loss allocation problem exhibits a specific variation and it is possible to develop analytical solution to determine the nucleolus. So an analytical solution to determine nucleolus is achieved without use of series of linear programs. It has been applied to a six-bus system and the results are compared with other methods .It is found that his method provides fair allocation and requires less computational time.

Keywords

Cooperative Game, Transmission Loss, Nucleolus, Power Flow
User

  • Bierman HS and Fernandes L (1998) Game Theory with Economic Applications: Addison-Wesley.
  • Chang Y-C and Lu C-N (2002) Bus-oriented transmission loss allocation. IEE. Proc.-Gener. Transm. Distrib. 149, 402-406.
  • Conejo AJ, Arroyo JM, Alguacil N, and Guijarro AL (2002) Transmission loss allocation: a comparison of different practical algorithms. IEEE Trans. Power Syst. 17, 571-576.
  • Daniel JS, Salgado RS and Irving MR (2005) Transmission loss allocation through a modified Ybus. IEE Proceedings- Generation, Transmission and Distribution. 152, 208-214.
  • Ding Q and Abur A (2004) Transmission loss allocation in a multiple transaction framework. IEEE Trans. Power Syst. 19, 214-220.
  • Galiana FD and Phelan M (2000) Allocation of transmission losses to bilateral contracts in a competitive environment. IEEE Trans. Power Syst. 15,143-150.
  • Gross, G and Tao S (2000) A physical-flow-based approach to allocating transmission losses in a transaction framework. IEEE Trans.Power Sys., 15, 631-637.
  • Hsieh S-C and Wang HM (2002) Allocation of transmission losses based on cooperative game theory and current injection models. In: Proc. IEEE Int. Conf. Industral Tech., Bangkok, Thailand, 11-14 Dec. 2002,pp. 850-853.
  • Leite da Silva AM, Guilherme de Carvalho Costa J (2003) Transmission loss allocation: part I – single energy market. IEEE Trans Power Syst. 18, 1389-1394.
  • Shih-Chieh Hsieh (2006) Fair Transmission Loss Allocation Based on Equivalent Current Injection and Shapely Value. IEEEPower Engineering Society Geneal Meeting.
  • Tsukamoto Y and Iyoda I (1996) Allocation of fixed transmission cost to wheeling transactions by cooperative game theory. IEEE Trans. Powe Syst. 11, 620-629.
  • Wood AJ and Wollenberg BF (199) Power Generation Operation and Control, 2nd ed., New York: Wiley, p:124.
  • Young H (1994) Cost Allocation. In: Handbook of Game Theory. vol. 2, pp. 1193-1235.
  • Zolezzi JM and Rudnick H (2002) Transmission cost allocation by cooperative games and coalition formation. IEEE Trans. Power Syst. 17, 1008-1015.

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  • Analytical Solution to Balanced Quadratic Cooperative Game and its Application to Transmission Loss Allocation

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Authors

R. M. Saloman Danaraj
Aurora’s Technoogical Research Instiute, Andhra Padesh, India
Shankarappa F. Kodad
Aurora’s Engineering College, Bhongir
Tulsi Ram Das
JNT University-, Hyderabad, Andhra Pradesh, India

Abstract


The coalition values of the transmission loss allocation problem exhibits a specific variation and it is possible to develop analytical solution to determine the nucleolus. So an analytical solution to determine nucleolus is achieved without use of series of linear programs. It has been applied to a six-bus system and the results are compared with other methods .It is found that his method provides fair allocation and requires less computational time.

Keywords


Cooperative Game, Transmission Loss, Nucleolus, Power Flow

References





DOI: https://doi.org/10.17485/ijst%2F2007%2Fv1i2%2F29208