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Collaborative Game Theory Between Microgrid Operators and Distribution System Operator Considering Multi-Faceted Uncertainties

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  • Shuai Wang

    (School of Electrical Engineering, Xinjiang University, Urumqi 830017, China
    Engineering Research Center of Northwest Energy Carbon Neutrality, Ministry of Education, Xinjiang University, Urumqi 830017, China)

  • Xiaojing Ma

    (School of Electrical Engineering, Xinjiang University, Urumqi 830017, China
    Engineering Research Center of Northwest Energy Carbon Neutrality, Ministry of Education, Xinjiang University, Urumqi 830017, China)

  • Yaling Yan

    (Xinjiang Xinneng Group Company Limited Urumqi Electric Power Construction and Commissioning Institute, Urumqi 830000, China)

  • Tusongjiang Kari

    (School of Electrical Engineering, Xinjiang University, Urumqi 830017, China
    Engineering Research Center of Northwest Energy Carbon Neutrality, Ministry of Education, Xinjiang University, Urumqi 830017, China)

  • Wei Zhang

    (School of Electrical Engineering, Xinjiang University, Urumqi 830017, China
    Engineering Research Center of Northwest Energy Carbon Neutrality, Ministry of Education, Xinjiang University, Urumqi 830017, China)

Abstract

In the vigorous development of the power system, to address the economic challenges of multi-microgrid systems, this paper proposes a Nash bargaining model for collaboration between microgrid operators (MGs) and a distribution system operator (DSO) under conditions of multiple uncertainties. Firstly, a model for energy transactions between multiple complementary microgrid systems and a distribution system is established. Secondly, the chance-constrained method and robust optimization method are applied to model the multiple uncertainties in renewable energy generation and electricity trading prices. Moreover, using Nash bargaining theory, a cooperative operation model between MGs and a DSO is established, which is then transformed into two subproblems: cost minimization in cooperation and revenue maximization from power trading. To protect the privacy of each participant, a distributed solution approach using the alternating direction method of multipliers (ADMM) is applied to solve these subproblems. Finally, the simulation results indicate that the benefit values of all entities have improved after cooperative operation through the proposed model. Specifically, the benefit value of MG 1 is CNY 919,974.3, MG 2 is CNY 1,420,363.2, MG 3 is CNY 790,288.3, and the DSO is CNY 26,257.2. These results demonstrate that the proposed model has favorable economic performance.

Suggested Citation

  • Shuai Wang & Xiaojing Ma & Yaling Yan & Tusongjiang Kari & Wei Zhang, 2025. "Collaborative Game Theory Between Microgrid Operators and Distribution System Operator Considering Multi-Faceted Uncertainties," Energies, MDPI, vol. 18(7), pages 1-25, March.
  • Handle: RePEc:gam:jeners:v:18:y:2025:i:7:p:1577-:d:1617636
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    References listed on IDEAS

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    1. Adriana Grigorescu & Victor Raul Lopez Ruiz & Cristina Lincaru & Elena Condrea, 2023. "Specialization Patterns for the Development of Renewable Energy Generation Technologies across Countries," Energies, MDPI, vol. 16(20), pages 1-26, October.
    2. Alanne, Kari & Cao, Sunliang, 2019. "An overview of the concept and technology of ubiquitous energy," Applied Energy, Elsevier, vol. 238(C), pages 284-302.
    3. Ahmed Elkhatat & Shaheen Al-Muhtaseb, 2024. "Climate Change and Energy Security: A Comparative Analysis of the Role of Energy Policies in Advancing Environmental Sustainability," Energies, MDPI, vol. 17(13), pages 1-31, June.
    4. Kang, Jia-Ning & Wei, Yi-Ming & Liu, Lan-Cui & Han, Rong & Yu, Bi-Ying & Wang, Jin-Wei, 2020. "Energy systems for climate change mitigation: A systematic review," Applied Energy, Elsevier, vol. 263(C).
    5. Zhao, Bingxu & Cao, Xiaodong & Duan, Pengfei, 2024. "Cooperative operation of multiple low-carbon microgrids: An optimization study addressing gaming fraud and multiple uncertainties," Energy, Elsevier, vol. 297(C).
    6. Adewuyi, Oludamilare Bode & Aki, Hirohisa, 2024. "Optimal planning for high renewable energy integration considering demand response, uncertainties, and operational performance flexibility," Energy, Elsevier, vol. 313(C).
    7. Dagoumas, Athanasios S. & Koltsaklis, Nikolaos E., 2019. "Review of models for integrating renewable energy in the generation expansion planning," Applied Energy, Elsevier, vol. 242(C), pages 1573-1587.
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