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Comparative Study on Game-Theoretic Optimum Sizing and Economical Analysis of a Networked Microgrid

Author

Listed:
  • Liaqat Ali

    (School of Electrical Engineering Computing and Mathematical Science, Curtin University, Perth 6102, Australia)

  • S. M. Muyeen

    (School of Electrical Engineering Computing and Mathematical Science, Curtin University, Perth 6102, Australia)

  • Hamed Bizhani

    (School of Electrical and Computer Engineering, University of Zanjan, Zanjan 45371, Iran)

  • Arindam Ghosh

    (School of Electrical Engineering Computing and Mathematical Science, Curtin University, Perth 6102, Australia)

Abstract

In this paper, two techniques of game theory are considered for sizing and comparative analysis of a grid-connected networked microgrid, based on a multi-objective imperialistic competition algorithm (ICA) for system optimization. The selected networked microgrid, which consists of two different grid-connected microgrids with common electrical load and main grid, might have different combinations of generation resources including wind turbine, photovoltaic panels, and batteries. The game theory technique of Nash equilibrium is developed to perform the effective sizing of the networked microgrid in which capacities of the generation resources and batteries are considered as players and annual profit as payoff. In order to meet the equilibrium point and the optimum sizes of generation resources, all possible coalitions between the players are considered; ICA, which is frequently used in optimization applications, is implemented using MATLAB software. Both techniques of game theory, Shapley values and Nash equilibrium, are used to find the annual profit of each microgrid, and results are compared based on optimum sizing, and maximum values of annual profit are identified. Finally, in order to validate the results of the networked microgrid, the sensitivity analysis is studied to examine the impact of electricity price and discount rates on maximum values of profit for both game theory techniques.

Suggested Citation

  • Liaqat Ali & S. M. Muyeen & Hamed Bizhani & Arindam Ghosh, 2019. "Comparative Study on Game-Theoretic Optimum Sizing and Economical Analysis of a Networked Microgrid," Energies, MDPI, vol. 12(20), pages 1-14, October.
    • Handle: RePEc:gam:jeners:v:12:y:2019:i:20:p:4004-:d:278832
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    References listed on IDEAS

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    1. Petrosjan, Leon & Zaccour, Georges, 2003. "Time-consistent Shapley value allocation of pollution cost reduction," Journal of Economic Dynamics and Control, Elsevier, vol. 27(3), pages 381-398, January.
    2. Lijun Zeng & Laijun Zhao & Qin Wang & Bingcheng Wang & Yuan Ma & Wei Cui & Yujing Xie, 2018. "Modeling Interprovincial Cooperative Energy Saving in China: An Electricity Utilization Perspective," Energies, MDPI, vol. 11(1), pages 1-25, January.
    3. Ikponmwosa Idehen & Shiny Abraham & Gregory V. Murphy, 2018. "A Method for Distributed Control of Reactive Power and Voltage in a Power Grid: A Game-Theoretic Approach," Energies, MDPI, vol. 11(4), pages 1-22, April.
    4. Shenbo Yang & Zhongfu Tan & Liwei Ju & Hongyu Lin & Gejirifu De & Qingkun Tan & Feng’ao Zhou, 2018. "An Income Distributing Optimization Model for Cooperative Operation among Different Types of Power Sellers Considering Different Scenarios," Energies, MDPI, vol. 11(11), pages 1-24, October.
    5. Xiaofeng Liu & Shijun Wang & Jiawen Sun, 2018. "Energy Management for Community Energy Network with CHP Based on Cooperative Game," Energies, MDPI, vol. 11(5), pages 1-18, April.
    6. Ran Li & Huizhuo Ma & Feifei Wang & Yihe Wang & Yang Liu & Zenghui Li, 2013. "Game Optimization Theory and Application in Distribution System Expansion Planning, Including Distributed Generation," Energies, MDPI, vol. 6(2), pages 1-24, February.
    7. Nian Liu & Minyang Cheng & Li Ma, 2017. "Multi-Party Energy Management for Networks of PV-Assisted Charging Stations: A Game Theoretical Approach," Energies, MDPI, vol. 10(7), pages 1-16, July.
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