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Recognition of the developing vortex rope in Francis turbine draft tube based on PSO-CS2

Author

Listed:
  • Wang, Huan
  • Li, Wenfeng
  • Hou, Yaochun
  • Wu, Peng
  • Huang, Bin
  • Wu, Kelin
  • Wu, Dazhuan

Abstract

Condition monitoring and early warning of vortex rope are necessary to prevent unit resonance and other detrimental consequences for the Francis turbine. Previous studies focus on pressure pulsation to determine the vortex rope precession frequency directly. However, non-intrusive vibration monitoring is more suitable for industrial applications. The vibration signal is always accompanied by heavy noise. To eliminate these interferences, this study proposes the particle swarm optimization for second-order cyclostationarity (PSO-CS2) to identify the characteristic frequency bands of vortex rope. Firstly, the evolution process is divided into three states based on its physical behavior and spatial location. Secondly, it is pointed out that the vibration signal induced by vortex rope possesses cyclostationarity, allowing for the establishment of cyclostationary models for different vortex rope stages. Subsequently, the CS2 indicator is designed to evaluate the development state of vortex rope, and the PSO-CS2 algorithm is proposed. Finally, the effectiveness of the proposed PSO-CS2 is validated by simulation signals and experimental data from a scaled turbine model. The results demonstrate that the developing stage is dominated by second-order cyclostationary noise in a relatively high-frequency band of vortex rope and the shaft frequency and vortex rope precession frequency are presented in the final stage.

Suggested Citation

  • Wang, Huan & Li, Wenfeng & Hou, Yaochun & Wu, Peng & Huang, Bin & Wu, Kelin & Wu, Dazhuan, 2023. "Recognition of the developing vortex rope in Francis turbine draft tube based on PSO-CS2," Renewable Energy, Elsevier, vol. 217(C).
    • Handle: RePEc:eee:renene:v:217:y:2023:i:c:s0960148123010285
    DOI: 10.1016/j.renene.2023.119114
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    References listed on IDEAS

    as
    1. Pham, Quang Hung & Gagnon, Martin & Antoni, Jérôme & Tahan, Antoine & Monette, Christine, 2022. "Prediction of hydroelectric turbine runner strain signal via cyclostationary decomposition and kriging interpolation," Renewable Energy, Elsevier, vol. 182(C), pages 998-1011.
    2. Salehi, Saeed & Nilsson, Håkan, 2022. "Effects of uncertainties in positioning of PIV plane on validation of CFD results of a high-head Francis turbine model," Renewable Energy, Elsevier, vol. 193(C), pages 57-75.
    3. Yu, An & Zou, Zhipeng & Zhou, Daqing & Zheng, Yuan & Luo, Xianwu, 2020. "Investigation of the correlation mechanism between cavitation rope behavior and pressure fluctuations in a hydraulic turbine," Renewable Energy, Elsevier, vol. 147(P1), pages 1199-1208.
    4. Sotoudeh, Nahale & Maddahian, Reza & Cervantes, Michel J., 2020. "Investigation of Rotating Vortex Rope formation during load variation in a Francis turbine draft tube," Renewable Energy, Elsevier, vol. 151(C), pages 238-254.
    5. Laouari, Ahmed & Ghenaiet, Adel, 2021. "Investigation of steady and unsteady cavitating flows through a small Francis turbine," Renewable Energy, Elsevier, vol. 172(C), pages 841-861.
    6. Bhattacharjee, Subhadeep & Nayak, Pabitra Kumar, 2019. "PV-pumped energy storage option for convalescing performance of hydroelectric station under declining precipitation trend," Renewable Energy, Elsevier, vol. 135(C), pages 288-302.
    7. Goyal, Rahul & Gandhi, Bhupendra K., 2018. "Review of hydrodynamics instabilities in Francis turbine during off-design and transient operations," Renewable Energy, Elsevier, vol. 116(PA), pages 697-709.
    8. Kumar, Pardeep & Saini, R.P., 2010. "Study of cavitation in hydro turbines--A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 14(1), pages 374-383, January.
    9. Cheng, Huan & Zhou, Lingjiu & Liang, Quanwei & Guan, Ziwu & Liu, Demin & Wang, Zhaoning & Kang, Wenzhe, 2020. "A method of evaluating the vortex rope strength in draft tube of Francis turbine," Renewable Energy, Elsevier, vol. 152(C), pages 770-780.
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