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Sensitivity analysis and low frequency oscillations for bifurcation scenarios in a hydraulic generating system

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  • Zhang, Jingjing
  • Mahmud, Apel
  • Govaerts, Willy
  • Chen, Diyi
  • Xu, Beibei
  • Xiong, Hualin

Abstract

A hydraulic generating system (HGS) may undergo Hopf bifurcations or limit point bifurcations before the occurrence of low-frequency oscillations (LFO). These oscillations severely limit the power transmission capacity and even threaten the stability of the power grid in some situations. Hence it is increasingly crucial to have a clear understanding of LFO in bifurcation scenarios. This problem becomes even more complicated with parametric uncertainties in power systems as it is always challenging to efficiently handle LFO under such conditions. To address this challenge, a mathematical model of a HGS is established which is then utilized to evaluate the sensitivity of state variables against parametric uncertainties. Subsequently, two bifurcation scenarios with variations in two sensitivity parameters (the proportional and integral adjustment coefficients) are analyzed to demonstrate the interactions between oscillation modes and bifurcations. Finally, the results are presented in terms of oscillation indicators of bifurcation scenarios. These indicators include the eigenvalue, frequency, damping and participation factor. One of the most important results shows that the governor provides positive damping to HGS and introduces ultra-low frequency oscillations to the system under certain conditions. The proposed approach and analytical results provide a useful tool for analyzing LFO in a HGS for bifurcation scenarios.

Suggested Citation

  • Zhang, Jingjing & Mahmud, Apel & Govaerts, Willy & Chen, Diyi & Xu, Beibei & Xiong, Hualin, 2020. "Sensitivity analysis and low frequency oscillations for bifurcation scenarios in a hydraulic generating system," Renewable Energy, Elsevier, vol. 162(C), pages 334-344.
    • Handle: RePEc:eee:renene:v:162:y:2020:i:c:p:334-344
    DOI: 10.1016/j.renene.2020.08.087
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    References listed on IDEAS

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    Cited by:

    1. Lu, Xueding & Li, Chaoshun & Liu, Dong & Zhu, Zhiwei & Tan, Xiaoqiang, 2022. "Influence of water diversion system topologies and operation scenarios on the damping characteristics of hydropower units under ultra-low frequency oscillations," Energy, Elsevier, vol. 239(PE).
    2. Ma, Weichao & Zhao, Zhigao & Yang, Jiebin & Lai, Xu & Liu, Chengpeng & Yang, Jiandong, 2024. "A transient analysis framework for hydropower generating systems under parameter uncertainty by integrating physics-based and data-driven models," Energy, Elsevier, vol. 297(C).
    3. Zhang, Jingjing & Li, Huanhuan & Chen, Diyi & Xu, Beibei & Mahmud, Md Apel, 2021. "Flexibility assessment of a hybrid power system: Hydroelectric units in balancing the injection of wind power," Renewable Energy, Elsevier, vol. 171(C), pages 1313-1326.
    4. Liu, Zhe & Yu, Xiaodong & Pérez-Díaz, Juan I. & Liu, Yi & Martínez-Lucas, Guillermo, 2023. "Influence of water hammer effect on low frequency oscillation of grid-connected hydropower station system," Renewable Energy, Elsevier, vol. 219(P2).

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