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Graph-Theoretical Approach for Solving Loss Allocation Problems in Interconnected Power Grids

Alayande, A. S. and Awosope, C. O. A. and Abdulkareem, Ademola (2016) Graph-Theoretical Approach for Solving Loss Allocation Problems in Interconnected Power Grids. In: 3rd International Conference On African Development Issues (CU-ICADI), May 9- May 11 2016, Covenant University, Ota, Nigeria.

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Abstract

A Fair and transparent allocation of transmission loss to network generators and loads has been a major challenge for efficient transmission pricing in the open access environment. In this paper, the application of graph theory in solving loss allocation problems in highly interconnected and large-sized practical power networks is investigated. The relevant mathematical formulations for solving such problems in power networks are presented. A General Allocation Factor (GAF) matrix, which relies on Kirchoff’s laws, for any given power network is formulated. The transmission line loss is obtained, based on the ac power-flow solution, using Newton Raphson iterative technique. The transmission line losses that are obtained are allocated to the generators within the network according to GAF matrix. The efficiency of the approach is demonstrated using a s standard IEEE 5-bus system and tested on a practical Nigerian 28-bus network. The results obtained, from the simulations, show the effectiveness of the method in solving loss allocation problems in real-time power networks.

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: Generator Contribution, Transmission Pricing, Graph Theory, General Allocation Factor Matrix, Kirchoff’s laws, Loss Allocation.
Subjects: T Technology > TK Electrical engineering. Electronics Nuclear engineering
Divisions: Faculty of Engineering, Science and Mathematics > School of Engineering Sciences
Depositing User: Mrs Hannah Akinwumi
Date Deposited: 29 Jun 2016 07:28
Last Modified: 29 Jun 2016 07:28
URI: http://eprints.covenantuniversity.edu.ng/id/eprint/6675

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