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Stability assessment of a stand-alone wind-photovoltaic-battery system via Floquet Theory

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  • Vargas, Uriel
  • Lazaroiu, George Cristian
  • Ramirez, Abner

Abstract

This paper presents a methodology, based on both Floquet theory and the participation matrix concepts, aimed at characterization of a time-periodic system in terms of its poles location in the complex plane. The participation matrix allows to find which poles are the most influenced by certain state-variables. The proposed methodology can be utilized as an auxiliary tool for parameter design, stability assessment, and for post-event analysis of time-periodic systems. The proposed methodology is readily applicable to distributed generation systems. A case study involving a stand-alone wind-photovoltaic-battery system is presented to support this statement.

Suggested Citation

  • Vargas, Uriel & Lazaroiu, George Cristian & Ramirez, Abner, 2021. "Stability assessment of a stand-alone wind-photovoltaic-battery system via Floquet Theory," Renewable Energy, Elsevier, vol. 171(C), pages 149-158.
    • Handle: RePEc:eee:renene:v:171:y:2021:i:c:p:149-158
    DOI: 10.1016/j.renene.2021.02.092
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    References listed on IDEAS

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    1. Mohamed Faroug, M. Alfaki & Rao, Dasari Narasimha & Samikannu, Ravi & Venkatachary, Sampath Kumar & Senthilnathan, Karthikrajan, 2020. "Comparative analysis of controllers for stability enhancement for wind energy system with STATCOM in the grid connected environment," Renewable Energy, Elsevier, vol. 162(C), pages 2408-2442.
    2. Xie, Da & Lu, Yupu & Sun, Junbo & Gu, Chenghong, 2017. "Small signal stability analysis for different types of PMSGs connected to the grid," Renewable Energy, Elsevier, vol. 106(C), pages 149-164.
    3. Li, H. & Zhao, B. & Yang, C. & Chen, H.W. & Chen, Z., 2011. "Analysis and estimation of transient stability for a grid-connected wind turbine with induction generator," Renewable Energy, Elsevier, vol. 36(5), pages 1469-1476.
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    1. Negri, Simone & Tironi, Enrico & Superti-Furga, Gabrio & Carminati, Marco, 2021. "VSC-based LVDC distribution network with DERs: Equivalent circuits for leakage and ground fault currents evaluation," Renewable Energy, Elsevier, vol. 177(C), pages 1133-1146.
    2. Oprea, Simona-Vasilica & Bâra, Adela & Ciurea, Cristian-Eugen, 2022. "A novel cost-revenue allocation computation for the competitiveness of balancing responsible parties, including RES. Insights from the electricity market," Renewable Energy, Elsevier, vol. 199(C), pages 881-894.

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