{"title":"Optimal Transmission Network Usage and Loss Allocation Using Matrices Methodology and Cooperative Game Theory","authors":"Baseem Khan, Ganga Agnihotri","volume":74,"journal":"International Journal of Electrical and Computer Engineering","pagesStart":196,"pagesEnd":205,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/9996913","abstract":"
Restructuring of Electricity supply industry introduced many issues such as transmission pricing, transmission loss allocation and congestion management. Many methodologies and algorithms were proposed for addressing these issues. In this paper a power flow tracing based method is proposed which involves Matrices methodology for the transmission usage and loss allocation for generators and demands. This method provides loss allocation in a direct way because all the computation is previously done for usage allocation. The proposed method is simple and easy to implement in a large power system. Further it is less computational because it requires matrix inversion only a single time. After usage and loss allocation cooperative game theory is applied to results for finding efficient economic signals. Nucleolus and Shapely value approach is used for optimal allocation of results. Results are shown for the IEEE 6 bus system and IEEE 14 bus system.<\/p>\r\n","references":"[1]\tNarsingh Deo, \"Graph Theory with Applications to Engineering and Computer Science\u201d, Prentice-Hall of India, 1994, pp. 220-227.\r\n[2]\tJ. Bialek, D. B. Tam, \"Tracing The Generators\u2019 Output\u201d, Opportunities and Advances in International Power Generation, 18-20th March 1996.\r\n[3]\tDaniel Kirschen Ron Allan Goran Strbac, \"Contributions of Individual Generators to Loads and Flows\u201d, IEEE Transactions on Power Systems, Vol. 12, No. 1, February 1997.\r\n[4]\tFerdinand Gubina, David Grgi\u02c7c, Ivo Bani\u02c7, \"A Method for Determining the Generators\u2019 Share in a Consumer Load\u201d, IEEE transactions on power systems, vol. 15, no. 4, November 2000.\r\n[5]\tFelix F. 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