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

RM Saloman Danaraj; Shankarappa F Kodad   and Tulsi Ram Das

doi:10.17485/ijst/2008/v1i2/8

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

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2008/v1i2/8

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

RM Saloman Danaraj^*, Shankarappa F Kodad^** and Tulsi Ram Das^***

* Aurora’s Techno ogical Research Insti ute, Andhra P adesh, India
** Aurora’s Engineering College, Bhongir
*** JNT University-, Hyderabad, Andhra Pradesh, India

Author for the correspondence:
Shankarappa F Kodad
Aurora’s Engineering College, Bhongir
E-mail: [email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

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.