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Positive-Mode-Damping Stability Criterion Application and Damping Solutions in Microgrid-Integrated Transmission Grids

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  • Oriol Cartiel

    (Department of Electrical Engineering (DEE), Escola Tècnica Superior d’Enginyeria Industrial de Barcelona (ETSEIB), Universitat Politècnica de Catalunya—BarcelonaTech (UPC), Av. Diagonal 647, 08028 Barcelona, Spain)

  • Pablo Horrillo-Quintero

    (Research Group in Sustainable and Renewable Electrical Technologies—SURET (PAIDI-TEP-023), Department of Electrical Engineering, ETSIA, University of Cádiz, Avda. Ramón Puyol, s/n, 11202 Algeciras, Spain)

  • Juan-José Mesas

    (Department of Electrical Engineering (DEE), Escola d’Enginyeria de Barcelona Est (EEBE), Universitat Politècnica de Catalunya—BarcelonaTech (UPC), Av. d’Eduard Maristany 16, 08019 Barcelona, Spain)

  • Pablo García-Triviño

    (Research Group in Sustainable and Renewable Electrical Technologies—SURET (PAIDI-TEP-023), Department of Electrical Engineering, ETSIA, University of Cádiz, Avda. Ramón Puyol, s/n, 11202 Algeciras, Spain)

  • Raúl Sarrias-Mena

    (Research Group in Sustainable and Renewable Electrical Technologies—SURET (PAIDI-TEP-023), Department of Engineering in Automation, Electronics and Computer Architecture & Networks, ETSIA, University of Cádiz, Avda. Ramón Puyol, s/n, 11202 Algeciras, Spain)

  • Luis M. Fernández-Ramírez

    (Research Group in Sustainable and Renewable Electrical Technologies—SURET (PAIDI-TEP-023), Department of Electrical Engineering, ETSIA, University of Cádiz, Avda. Ramón Puyol, s/n, 11202 Algeciras, Spain)

  • Luis Sainz

    (Department of Electrical Engineering (DEE), Escola Tècnica Superior d’Enginyeria Industrial de Barcelona (ETSEIB), Universitat Politècnica de Catalunya—BarcelonaTech (UPC), Av. Diagonal 647, 08028 Barcelona, Spain)

Abstract

Stability problems are increasing in current power systems with a large number of electronic converters, such as microgrids (MGs) and microgrid clusters (MGCs). Frequency-domain methods, commonly used to analyse traditional power system stability, can also be extended to MGs. In particular, the positive-mode-damping (PMD) stability criterion is a simple and practical method to evaluate the stability of multi-terminal power electronics-based systems, making it a powerful tool for addressing stability issues in MGCs. This paper extends the application of the PMD stability criterion to assess stability in MGC-integrated transmission grids. Moreover, it presents two bandpass filter-based active and passive damping compensators and examines their effectiveness in mitigating instabilities in MGCs. A modified IEEE three-bus power system integrating an MGC is used to conduct a small-signal harmonic stability study and apply active and passive damping solutions with the PMD stability criterion. The modified IEEE three-bus power system is implemented in real-time simulations using a hardware-in-the-loop setup with OPAL-RT4512 to validate the results obtained from MATLAB/Simulink R2022a simulations.

Suggested Citation

  • Oriol Cartiel & Pablo Horrillo-Quintero & Juan-José Mesas & Pablo García-Triviño & Raúl Sarrias-Mena & Luis M. Fernández-Ramírez & Luis Sainz, 2025. "Positive-Mode-Damping Stability Criterion Application and Damping Solutions in Microgrid-Integrated Transmission Grids," Energies, MDPI, vol. 18(12), pages 1-21, June.
    • Handle: RePEc:gam:jeners:v:18:y:2025:i:12:p:3089-:d:1676960
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    References listed on IDEAS

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    1. 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).
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