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Networked microgrid stability through distributed formal analysis

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  • Li, Yan
  • Zhang, Peng
  • Yue, Meng

Abstract

A scalable distributed formal analysis (DFA) via reachable set computation is presented to efficiently evaluate the stability of networked microgrids under disturbances induced by distributed energy resources (DERs). With mathematical rigor, DFA can efficiently compute the boundaries of all possible dynamics in a distributed way, which are unattainable via traditional time-domain simulations or direct methods. A distributed quasi-diagonalized Geršgorin (DQG) theory is then combined with DFA to identify systems’ stability margins. A microgrid-oriented decomposition approach is established to decouple a networked microgrid system and enable calculations of DFA and DQG while also preserving the privacy of each subsystem. Numerical tests on a networked microgrid system validate that DFA and DQG facilitate the efficient calculation and analysis of networked microgrids’ stability.

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  • Li, Yan & Zhang, Peng & Yue, Meng, 2018. "Networked microgrid stability through distributed formal analysis," Applied Energy, Elsevier, vol. 228(C), pages 279-288.
    • Handle: RePEc:eee:appene:v:228:y:2018:i:c:p:279-288
    DOI: 10.1016/j.apenergy.2018.06.038
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    Cited by:

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    2. Saad, Ahmed A. & Faddel, Samy & Mohammed, Osama, 2019. "A secured distributed control system for future interconnected smart grids," Applied Energy, Elsevier, vol. 243(C), pages 57-70.
    3. Wu, Ying & Wu, Yanpeng & Cimen, Halil & Vasquez, Juan C. & Guerrero, Josep M., 2022. "Towards collective energy Community: Potential roles of microgrid and blockchain to go beyond P2P energy trading," Applied Energy, Elsevier, vol. 314(C).
    4. Naderi, Mobin & Khayat, Yousef & Shafiee, Qobad & Blaabjerg, Frede & Bevrani, Hassan, 2023. "Dynamic modeling, stability analysis and control of interconnected microgrids: A review," Applied Energy, Elsevier, vol. 334(C).
    5. Yu, Vincent F. & Le, Thi Huynh Anh & Gupta, Jatinder N.D., 2023. "Sustainable microgrid design with peer-to-peer energy trading involving government subsidies and uncertainties," Renewable Energy, Elsevier, vol. 206(C), pages 658-675.
    6. Mei, Jie & Chen, Chen & Wang, Jianhui & Kirtley, James L., 2019. "Coalitional game theory based local power exchange algorithm for networked microgrids," Applied Energy, Elsevier, vol. 239(C), pages 133-141.
    7. Villanueva-Rosario, Junior Alexis & Santos-García, Félix & Aybar-Mejía, Miguel Euclides & Mendoza-Araya, Patricio & Molina-García, Angel, 2022. "Coordinated ancillary services, market participation and communication of multi-microgrids: A review," Applied Energy, Elsevier, vol. 308(C).

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