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.

Highlights

  • With the emerged competition in electric power systems due to the privatization and emphasis on economic planning and operation of the grid, allocation of system losses to its participants and loss contributors has yet remained a challenging concern

  • The rational expectation from the loss allocation method in a non-radial distribution system is that if conditions of system participants change in a same manner, the allocated losses to these

  • While several research efforts have been conducted on the topic, each with diverse advantages and disadvantages, there is no unique and benchmark solution for loss allocation in distribution systems that are: (i) effective under different network topologies and operating conditions; (ii) applicable to both meshed and radial distribution systems; and (iii) effective for both balanced and unbalanced networks

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Summary

Introduction

With the emerged competition in electric power systems due to the privatization and emphasis on economic planning and operation of the grid, allocation of system losses to its participants and loss contributors has yet remained a challenging concern. A three-step loss allocation approach applicable to radial distribution systems is proposed in [9] which considers both active and reactive power flows and evaluates the loss allocated to each node based on that allocated to its adjacent nodes. (ii) In the second category, distribution systems with meshed structure and high deployment of DG are discussed Such operating conditions result in a bidirectional flow of power, where the distribution system operation becomes more similar to the transmission section. In response to the aforementioned challenges, this paper proposes a method which is applicable to both radial and meshed distribution systems, as well as balanced and unbalanced networks. The proposed approach applies Shapley Value method to find the solutions to loss allocation problem.

Materials and Methods
Concepts of Cooperative Game Theory
Shapley Value
The Proposed Game Theory-Based Loss Allocation
Case Studies and Numerical Results
Radial and Balanced Distribution Systems
Loss Allocation Results in kW
Unsymmetrical
Allocated
Performance Evaluation of the Proposed Loss Allocation Approach
Performance of the Proposed
Sensitivity
Sensitivity Analysis 2
Conclusions

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