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Mathematics 2018, 6(9), 158; https://doi.org/10.3390/math6090158

A Game-Theoretic Loss Allocation Approach in Power Distribution Systems with High Penetration of Distributed Generations

1
The Centre of Excellence in Power System Management and Control (CEPSMC), Department of Electrical Engineering, Sharif University of Technology, Azadi Avenue, Tehran 11365-11155, Iran
2
Department of Electrical and Computer Engineering School of Engineering and Applied Sciences, George Washington University, Washington, DC 20052, USA
*
Author to whom correspondence should be addressed.
Received: 31 July 2018 / Revised: 28 August 2018 / Accepted: 3 September 2018 / Published: 6 September 2018
(This article belongs to the Special Issue Mathematical Game Theory)
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Abstract

Allocation of the power losses to distributed generators and consumers has been a challenging concern for decades in restructured power systems. This paper proposes a promising approach for loss allocation in power distribution systems based on a cooperative concept of game-theory, named Shapley Value allocation. The proposed solution is a generic approach, applicable to both radial and meshed distribution systems as well as those with high penetration of renewables and DG units. With several different methods for distribution system loss allocation, the suggested method has been shown to be a straight-forward and efficient criterion for performance comparisons. The suggested loss allocation approach is numerically investigated, the results of which are presented for two distribution systems and its performance is compared with those obtained by other methodologies. View Full-Text
Keywords: distributed generation (DG); power distribution systems; game theory; loss allocation; Shapley Value distributed generation (DG); power distribution systems; game theory; loss allocation; Shapley Value
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Pourahmadi, F.; Dehghanian, P. A Game-Theoretic Loss Allocation Approach in Power Distribution Systems with High Penetration of Distributed Generations. Mathematics 2018, 6, 158.

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