• P-ISSN 0974-6846 E-ISSN 0974-5645

Indian Journal of Science and Technology


Indian Journal of Science and Technology

Year: 2008, Volume: 1, Issue: 2, Pages: 1-4

Original Article

Analytical solution to balanced quadratic cooperative game and its application to transmission loss allocation


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.


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