Pressure Pulsation Characteristics and Flow-induced Vibration Optimization in a Turbine Runner under Low Flow Conditions

Document Type : Regular Article

Authors

1 College of Energy and Power Engineering, Lanzhou University of Technology, Lanzhou, Gansu, China

2 Electrical and Information Engineering Institute, Zhengzhou University of Light Industry, Zhengzhou, Henan, China

3 Power Generation Operations Department, Gansu Chaijiaxia Hydropower Co Ltd, Lanzhou, Gansu, China

4 College of Electrical and Information Engineering, Lanzhou University of Technology, Lanzhou, Gansu, China

10.47176/jafm.18.11.3424

Abstract

Hydropower systems, as core components for electricity regulation in renewable energy infrastructures, are increasingly operating under off-design conditions, such as high- and low-flow scenarios. Pressure pulsations induced by off-design operation have posed severe threats to the stability and reliability of flow-passing components. In this study, a 24 MW bulb turbine was selected as the research object. A transient fluid-structure interaction (FSI) method based on the finite element method (FEM) and finite volume method (FVM) was employed to investigate pressure variations and abnormal pulsations within the runner region. The reliability of the flow field analysis was validated through experimental data. The structural response of flow-passing components under complex pressure distributions was evaluated, and a multi-parameter collaborative optimization model was developed. An improved structural design was proposed to mitigate pressure pulsations under off-design conditions. Results show that, under flow-induced pressure mapping, the optimized structure achieved an average increase of 4.04% in prestressed modal frequency and 58.45% in wet modal frequency compared to the original structure, along with a significant alleviation of stress concentration phenomena. This study provides valuable insights into enhancing the safe operation of hydraulic turbines within multi-energy complementary renewable energy systems.

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Ahn, S. H., Xiao, Y., Wang, Z., Zhou, X., & Luo, Y. (2017). Performance prediction of a prototype tidal power turbine by using a suitable numerical model. Renewable Energy113, 293-302. https://doi.org/10.1016/j.renene.2017.06.021
Ahn, S. H., Zhou, X., He, L., Luo, Y., & Wang, Z. (2020). Numerical estimation of prototype hydraulic efficiency in a low head power station based on gross head conditions. Renewable Energy153, 175-181. https://doi.org/10.1016/j.renene.2020.01.113
Amiri, K., Mulu, B., MJ, C., & Raisee, M. (2016). Effects of load variation on a Kaplan turbine runner. International Journal of Fluid Machinery and Systems9(2), 182-193. https://doi.org/10.5293/IJFMS.2016.9.2.182
Bai, X., Tang, R., Zan, Y., & Li, J. (2019). Stability analysis of a cylindrical shell with axially symmetric defects under axial compression based on the reduction stiffness method. Ocean Engineering193, 106584. https://doi.org/10.1016/j.oceaneng.2019.106584
Cao, J., Tian, H., Ahn, S. H., Duo, W., Bi, H., Zhao, L., Zhao, G., Gao, H., Wang, M., Ma, G., Wang, Z. & Liu, Y. (2022). Fatigue analysis in rotor of a prototype bulb turbine based on fluid-structure interaction. Engineering Failure Analysis132, 105940. https://doi.org/10.1016/j.engfailanal.2021.105940
Cao, J., Yang, G., Luo, Y., Chen, J., Liao, R., & Wang, Z. (2022b). Failure investigation of a Kaplan turbine blade lever. Engineering Failure Analysis142, 106840. https://doi.org/10.1016/j.engfailanal.2022.106840
Chen, K., Zhang, W., Xia, B., Tong, P., & Yang, L. (2024). Experimental and numerical study on the flow and heat transfer of ring-ribbed tank in deep-sea manned submersible. Ocean Engineering312, 119091. https://doi.org/10.1016/j.oceaneng.2024.119091
Chen, M., Xie, K., Jia, W., & Xu, K. (2015). Free and forced vibration of ring-stiffened conical–cylindrical shells with arbitrary boundary conditions. Ocean Engineering108, 241-256. https://doi.org/10.1016/j.oceaneng.2015.07.065
Esmaeilzadehazimi, M., Bakhtiari, M., Toorani, M., & Lakis, A. A. (2024). Numerical modeling and analysis of fluid-filled truncated conical shells with ring stiffeners. Journal of Fluids and Structures127, 104121. https://doi.org/10.1016/j.jfluidstructs.2024.104121
Gao, C., Pang, F., Li, H., Huang, X., & Liang, R. (2024). Prediction of vibro-acoustic response of ring stiffened cylindrical shells by using a semi-analytical method. Thin-Walled Structures200, 111930. https://doi.org/10.1016/j.tws.2024.111930
Georgievskaia, E. (2021). Analytical system for predicting cracks in hydraulic turbines. Engineering Failure Analysis127, 105489. https://doi.org/10.1016/j.engfailanal.2021.105489
Moraga, G., Mut, V., Girardelo, J., Mazzouji, F., Valentin, D., Egusquiza, M., Egusquiza, E. & Presas, A. (2024). Excessive vibrations experienced in a Kaplan turbine at speed no load. Engineering Failure Analysis, 160, 108228. https://doi.org/10.1016/j.engfailanal.2024.108228
Guo, Q., Zhou, L., & Wang, Z. (2015). Comparison of BEM-CFD and full rotor geometry simulations for the performance and flow field of a marine current turbine. Renewable Energy75, 640-648. https://doi.org/10.1016/j.renene.2014.10.047
Hemmatnezhad, M., Rahimi, G. H., Tajik, M., & Pellicano, F. (2015). Experimental, numerical and analytical investigation of free vibrational behavior of GFRP-stiffened composite cylindrical shells. Composite Structures120, 509-518. https://doi.org/10.1016/j.compstruct.2014.10.011
Jin, S., Li, Z., Gao, T., Huang, F., Gan, D., & Cheng, R. (2021). Constrained shell finite element method of modal buckling analysis for thin-walled members with curved cross-sections. Engineering Structures240, 112281. https://doi.org/10.1016/j.engstruct.2021.112281
Kudela, J., & Matousek, R. (2022). Recent advances and applications of surrogate models for finite element method computations: a review. Soft Computing26(24), 13709-13733. https://doi.org/10.1007/s00500-022-07362-8
Velasquez, L., Romero-Menco, F., Rubio-Clemente, A., Posada, A. & Chica, E. (2024). Numerical optimization and experimental validation of the runner of a gravitational water vortex hydraulic turbine with a spiral inlet channel and a conical basin. Renewable Energy 220, 119676. https://doi.org/10.1016/j.renene.2023.119676
Lee, H., & Kwak, M. K. (2015). Free vibration analysis of a circular cylindrical shell using the Rayleigh–Ritz method and comparison of different shell theories. Journal of Sound and Vibration353, 344-377. https://doi.org/10.1016/j.jsv.2015.05.028
Li, T. S., Feng, J. J., Zhu, G. J., Li, Y. Z., & Luo, X. Q. (2023). Correlation analysis of cavitation-induced pressure pulsation and vibration in a bulb turbine. Journal of Hydrodynamics35(6), 1052-1063.  https://doi.org/10.1007/s42241-024-0084-9
Liu, Y., Zhu, R., Qin, Z., & Chu, F. (2022). A comprehensive study on vibration characteristics of corrugated cylindrical shells with arbitrary boundary conditions. Engineering Structures269, 114818. https://doi.org/10.1016/j.engstruct.2022.114818
Qu, Y., & Meng, G. (2014). Three-dimensional elasticity solution for vibration analysis of functionally graded hollow and solid bodies of revolution. Part I: Theory. European Journal of Mechanics-A/Solids44, 222-233. https://doi.org/10.1016/j.euromechsol.2013.11.004
Rahmatian, M. A., Nazarian Shahrbabaki, A., & Moeini, S. P. (2023). Single-objective optimization design of convergent-divergent ducts of ducted wind turbine using RSM and GA, to increase power coefficient of a small-scale horizontal axis wind turbine. Energy 269, 126822. https://doi.org/10.1016/j.energy.2023.126822
Roig, R., Sánchez-Botello, X., Escaler, X., Mulu, B., & Högström, C. M. (2022). On the rotating vortex rope and its induced structural response in a Kaplan turbine model. Energies15(17), 6311. https://doi.org/10.3390/en15176311
Shan, C., Sun, J., Jia, X., Wu, R., & Lu, X. (2024). The mechanical behavior of cylindrical shell with composite corrugations under uniform and concentrated pressure. Ocean Engineering298, 117148. https://doi.org/10.1016/j.oceaneng.2024.117148
Soltani Dehkharqani, A., Engström, F., Aidanpää, J. O., & Cervantes, M. J. (2019). Experimental investigation of a 10 MW prototype kaplan turbine during start-up operation. Energies12(23), 4582. https://doi.org/10.3390/en12234582
Su, Z., Jin, G., & Ye, T. (2014). Three-dimensional vibration analysis of thick functionally graded conical, cylindrical shell and annular plate structures with arbitrary elastic restraints. Composite Structures118, 432-447. https://doi.org/10.1016/j.compstruct.2014.07.049
Velásquez, L., Posada, A., & Chica, E. (2022). Optimization of the basin and inlet channel of a gravitational water vortex hydraulic turbine using the response surface methodology. Renewable Energy 187, 508-521. https://doi.org/10.1016/j.renene.2022.01.113
Wang, X., & Luo, S. (2010). Vibration analysis of large bulb tubular pumping station considering flow-structure interaction. 2010 Asia-Pacific Power and Energy Engineering Conference (pp. 1-4). IEEE. https://doi.org/10.1109/APPEEC.2010.5448926
Wang, Z., Chen, J., & Zhang, R. (2023). Calculation method for the interface contact stress of steel tube-to-sleeve grouted connections subjected to bending moments. Structures, 51, 1095-1108). https://doi.org/10.1016/j.istruc.2023.03.111
Weili, L., Hongbo, Q., Xiaochen, Z., & Ran, Y. (2012). Influence of copper plating on electromagnetic and temperature fields in a high-speed permanent-magnet generator. IEEE Transactions on Magnetics, 48(8), 2247-2253. https://doi.org/10.1109/TMAG.2012.2190740
Wu, Y., Li, C., Wang, X., & Zhu, G. (2021). Study on the influence of tip clearance of tidal tubular turbine on pressure pulsation of draft tube. IOP Conference Series: Earth and Environmental Science (Vol. 766, No. 1, p. 012026). IOP Publishing. https://doi.org/10.1088/1755-1315/766/1/012026
Yang, Y., Li, J. J., Zhang, Y., He, Q., & Dai, H. L. (2021). A semi-analytical analysis of strength and critical buckling behavior of underwater ring-stiffened cylindrical shells. Engineering Structures, 227, 111396. https://doi.org/10.1016/j.engstruct.2020.111396
Zhang, M., Valentín, D., Valero, C., Egusquiza, M., & Egusquiza, E. (2019). Failure investigation of a Kaplan turbine blade. Engineering Failure Analysis97, 690-700. https://doi.org/10.1016/j.engfailanal.2019.01.056
Zhao, Y., Li, Y., Feng, J., Dang, M., Ren, Y., & Luo, X. (2023). Vibration characteristics of a tubular turbine prototype at different heads with considering free surface and water gravity. Water15(4), 791. https://doi.org/10.3390/w15040791
Zhou, X. (2012). Vibration and stability of ring-stiffened thin-walled cylindrical shells conveying fluid. Acta Mechanica Solida Sinica25(2), 168-176. https://doi.org/10.1016/S0894-9166(12)60017-2