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Prediction model of stall evolution stages in a centrifugal impeller based on characteristic analysis of the hydraulic torque of blades and support vector machine

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Abstract

If a centrifugal impeller is in deep stall, it requires a large amount of additional energy to break free. As such, it is crucial to study the prediction method of impeller stall and establish its relationship with force and torque. This study employs a computational fluid dynamics numerical simulation method to analyze the flow field within the impeller of a centrifugal pump, while monitoring the changes in hydraulic torque of the blades. By examining the impeller’s internal flow field characteristics and external (energy performance) characteristics curves under different working conditions, the stall process was classified into three stages: germination, transition and stabilization. The evolution of stall cells under different stall stages was also analyzed. We utilized time-frequency conversion and analysis to extract characteristic parameters from instantaneous hydraulic torque results generated under different working conditions. A more effective model for predicting impeller stall stages was built by virtue of support vector machine algorithm. The proposed model exhibits improved feasibility and effectiveness in comparison to traditional prediction methods. It is expected to have significant implications for stable operation monitoring and safety protection of centrifugal pumps.

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References

  1. E. M. Greitzer, The stability of pumping systems—the 1980 freeman scholar lecture, J. of Fluids Engineering, 103 (2) (1981) 193–242, https://doi.org/10.1115/1.3241725.

    Article  Google Scholar 

  2. C. E. Brennen, Hydrodynamics of Pumps, Cambridge University Press (2011) https://doi.org/10.1017/CBO9780511976728.

  3. V. Hasmatuchi, Hydrodynamics of a pump-turbine operating at off-design conditions in generating mode, Thesis, EPFL (2012) https://doi.org/10.5075/epfl-thesis-5373.

  4. Y. Fu, J. Yuan, S. Yuan, G. Pace, L. d’Agostino, P. Huang and X. Li, Numerical and experimental analysis of flow phenomena in a centrifugal pump operating under low flow rates, J. of Fluids Engineering, 137 (1) (2015) 011102, https://doi.org/10.1115/1.4027142.

    Article  Google Scholar 

  5. W. Vaughn and J. Hector, Centrifugal Pumps: Characteristics, Uses and Performance, Nove Science Publishers, Inc. (2017) https://www.researchgate.net/publication/321681537_Centrifugal_pumps_Characteristics_uses_and_performance.

  6. D. Crane, Dictionary of Aeronautical Terms, 4th Ed., Aviation Supplies and Academics, Newcastle, Wash (2012) https://cir.nii.ac.jp/crid/1130282270856692736.

    Google Scholar 

  7. U. Ullum, J. Wright, O. Dayi, A. Ecder, A. Soulaimani, R. Piché and H. Kamath, Prediction of rotating stall within an impeller of a centrifugal pump based on spectral analysis of pressure and velocity data, J. of Physics: Conference Series, 52 (1) (2006) 36, https://doi.org/10.1088/1742-6596/52/1/004.

    Google Scholar 

  8. D. A. Johnson, N. Pedersen and C. B. Jacobsen, Measurements of rotating stall inside a centrifugal pump impeller, Fluids Engineering Division Summer Meeting, 41987 (2005) 1281–1288, https://doi.org/10.1115/fedsm2005-77313.

    Google Scholar 

  9. M. Miyabe, H. Maeda, I. Umeki and Y. Jittani, Unstable head-flow characteristic generation mechanism of a low specific speed mixed flow pump, J. of Thermal Science, 15 (2) (2006) 115–120, https://doi.org/10.1007/s11630-006-0115-6.

    Article  Google Scholar 

  10. N. Krause, K. Zähringer and E. Pap, Time-resolved particle imaging velocimetry for the investigation of rotating stall in a radial pump, Experiments in Fluids, 39 (2) (2005) 192–201, https://doi.org/10.1007/s00348-005-0935-2.

    Article  Google Scholar 

  11. N. Zhang, F. Zheng, X. Liu, B. Gao and G. Li, Unsteady flow fluctuations in a centrifugal pump measured by laser Doppler anemometry and pressure pulsation. Physics of Fluids, 32 (12) (2020) 125108, https://doi.org/10.1063/5.0029124.

    Article  Google Scholar 

  12. S. Lieblein, Aerodynamic Design of Axial-Flow Compressors, Vi-Experimental Flow in Two-Dimensional Cascades, NACA Research Memorandum, Washington, USA (1955) https://ntrs.nasa.gov/citations/20090024980.

    Google Scholar 

  13. P. J. Zhou, J. C. Dai, Y. F. Li, T. Chen and J. G. Mou, Unsteady flow structures in centrifugal pump under two types of stall conditions, J. of Hydrodynamics, 30 (6) (2018) 1038–1044, https://doi.org/10.1007/s42241-018-0125-3.

    Article  Google Scholar 

  14. X. D. Liu, Y. J. Li, Z. Q. Liu and W. Yang, Dynamic stall inception and evolution process measured by high-frequency particle image velocimetry system in low specific speed impeller,. J. of Fluids Engineering, 144 (4) (2022) 041504, https://doi.org/10.1115/1.4053166.

    Article  Google Scholar 

  15. X. Zhao, Y. Xiao, Z. Wang, Y. Luo and L. Cao, Unsteady flow and pressure pulsation characteristics analysis of rotating stall in centrifugal pumps under off-design conditions, J. of Fluids Engineering, 140 (2) (2018) 021105, https://doi.org/10.1115/1.4037973.

    Article  Google Scholar 

  16. N. Zhang, B. Gao, D. Ni and X. Liu, Coherence analysis to detect unsteady rotating stall phenomenon based on pressure pulsation signals of a centrifugal pump, Mechanical Systems and Signal Processing, 148 (2021) 107161, https://doi.org/10.1016/j.ymssp.2020.107161.

    Article  Google Scholar 

  17. N. Zhang, J. Jiang, B. Gao and X. Liu, DDES analysis of unsteady flow evolution and pressure pulsation at off-design condition of a centrifugal pump, Renewable Energy, 153 (2020) 193–204, https://doi.org/10.1016/jrenene.2020.02.015.

    Article  Google Scholar 

  18. N. Pedersen, P. S. Larsen and C. B. Jacobsen, Flow in a centrifugal pump impeller at design and off-design conditions— part I: particle image velocimetry (PIV) and laser Doppler velocimetry (LDV) measurements, J. of Fluids Engineering, 125 (1) (2003) 61–72, https://doi.org/10.1115/L1524585.

    Article  Google Scholar 

  19. F. R. Menter, Two-equation eddy-viscosity turbulence models for engineering applications, AIAA J., 32 (8) (1994) 1598–1605,. https://doi.org/10.2514/3.12149.

    Article  Google Scholar 

  20. F. Menter, Zonal two equation kw turbulence models for aerodynamic flows, 23rd Fluid Dynamics, Plasmadynamics, and Lasers Conference, Orlando, USA (1993) https://doi.org/10.2514/6.1993-2906.

  21. J. Bardina, P. Huang, T. Coakley, J. Bardina, P. Huang and T. Coakley, Turbulence modeling validation, 28th Fluid Dynamics Conference, Snowmass Village, CO, USA (1997) 2121, https://doi.org/10.2514/6.1997-2121.

  22. K. Kan, Y. Zheng, Y. Chen, Z. Xie, G. Yang and C. Yang, Numerical study on the internal flow characteristics of an axial-flow pump under stall conditions, J. of Mechanical Science and Technology, 32 (10) (2018) 4683–4695, https://doi.org/10.1007/s12206-018-0916-z.

    Article  Google Scholar 

  23. H. S. Shim and K. Y. Kim, Relationship between flow instability and performance of a centrifugal pump with a volute, J. of Fluids Engineering, 142 (11) (2020) 111208, https://doi.org/10.1115/1.4047805.

    Article  Google Scholar 

  24. Y. Liu and L. Tan, Spatial–temporal evolution of tip leakage vortex in a mixed-flow pump with tip clearance, J. of Fluids Engineering, 141 (8) (2019) 081302, https://doi.org/10.1115/1.4042756.

    Article  Google Scholar 

  25. J. Zhang, D. Appiah, F. Zhang, S. Yuan, Y. Gu and S. N. Asomani, Experimental and numerical investigations on pressure pulsation in a pump mode operation of a pump as turbine, Energy Science and Engineering, 7 (4) (2019) 1264–1279, https://doi.org/10.1002/ese3.344.

    Article  Google Scholar 

  26. J. Feng, F. K. Benra and H. J. Dohmen, Application of different turbulence models in unsteady flow simulations of a radial diffuser pump, Forschung im Ingenieurwesen, 74 (3) (2010) 123–133, https://doi.org/10.1007/s10010-010-0121-4.

    Article  Google Scholar 

  27. F. K. Osman, J. Zhang, L. Lai and A. A. Kwarteng, Effects of turbulence models on flow characteristics of a vertical fire pump, J. of Applied Fluid Mechanics, 15 (6) (2022) 1661–1674, https://doi.org/10.47176/jafm.15.06.1303.

    Google Scholar 

  28. W. Ye, R. Huang, Z. Jiang, X. Li, Z. Zhu and X. Luo, Instability analysis under part-load conditions in centrifugal pump, J. of Mechanical Science and Technology, 33 (1) (2019) 269–278, https://doi.org/10.1007/s12206-018-1226-1.

    Article  Google Scholar 

  29. T. W. Rauber, F. de Assis Boldt and F. M. Varejäo, Heterogeneous feature models and feature selection applied to bearing fault diagnosis, IEEE Transactions on Industrial Electronics, 62 (1) (2014) 637–646, https://doi.org/10.1109/tie.2014.2327589.

    Article  Google Scholar 

  30. A. Jami and P. S. Heyns, Impeller fault detection under variable flow conditions based on three feature extraction methods and artificial neural networks, J. of Mechanical Science and Technology, 32 (9) (2018) 4079–4087, https://doi.org/10.1007/s12206-018-0807-3.

    Article  Google Scholar 

  31. X. Yan and M. Jia, A novel optimized SVM classification algorithm with multi-domain feature and its application to fault diagnosis of rolling bearing, Neurocomputing, 313 (2018) 47–64, https://doi.org/10.1016/j.neucom.2018.05.002.

    Article  Google Scholar 

  32. M. A. Sattari, G. H. Roshani, R. Hanus and E. Nazemi, Applicability of time-domain feature extraction methods and artificial intelligence in two-phase flow meters based on gamma-ray absorption technique, Measurement, 168 (2021) 108474, https://doi.org/10.1016/j.measurement.2020.108474.

    Article  Google Scholar 

  33. Z. Araste, A. Sadighi and M. Jamimoghaddam, Fault diagnosis of a centrifugal pump using electrical signature analysis and support vector machine, J. of Vibration Engineering and Technologies, 11 (2023) 2057–2067, https://doi.org/10.1007/s42417-022-00687-6.

    Article  Google Scholar 

  34. V. Vapnik, The Nature of Statistical Learning Theory, Springer Science and Business Media (2000) https://doi.org/10.1007/978-1-4757-3264-1.

  35. T. Inoue and S. Abe, Fuzzy support vector machines for pattern classification, Transactions of the Institute of Systems Control and Information Engineers, 2 (2001) 1449–1454, https://doi.org/10.1109/IJCNN.2001.939575.

    Google Scholar 

  36. A. Widodo and B. S. Yang, Support vector machine in machine condition monitoring and fault diagnosis, Mechanical Systems and Signal Processing, 21 (6) (2007) 2560–2574, https://doi.org/10.1016/j.ymssp.2006.12.007.

    Article  Google Scholar 

  37. S. Zidi, T. Moulahi and B. Alaya, Fault detection in wireless sensor networks through SVM classifier, IEEE Sensors J., 18 (1) (2017) 340–347, https://doi.org/10.1109/jsen.2017.2771226.

    Article  Google Scholar 

  38. M. C. Gomes, L. C. Brito, M. B. da Silva and M. A. V. Duarte, Tool wear monitoring in micromilling using support vector machine with vibration and sound sensors, Precision Engineering, 67 (2021) 137–151, https://doi.org/10.1016/j.precisioneng.2020.09.025.

    Article  Google Scholar 

  39. W. Tuerxun, X. Chang, G. Hongyu, J. Zhijie and Z. Huajian, Fault diagnosis of wind turbines based on a support vector machine optimized by the sparrow search algorithm, IEEE Access, 9 (2021) 69307–69315, https://doi.org/10.1109/access.2021.3075547.

    Article  Google Scholar 

  40. C. Cortes and V. Vladimir, Support-vector networks, Machine Learning, 20 (3) (1995) 273–297, https://doi.org/10.1023/A:1022627411411.

    Article  MATH  Google Scholar 

  41. S. Knerr, L. Personnaz and G. Dreyfus, Single-layer learning revisited: a stepwise procedure for building and training a neural network, Neurocomputing: Algorithms, Architectures and Applications, Springer Berlin Heidelberg (1990) 41–50, https://doi.org/10.1007/978-3-642-76153-9_5.

    Chapter  Google Scholar 

  42. R. K. Byskov, C. B. Jacobsen and N. Pedersen, Flow in a centrifugal pump impeller at design and off-design conditions— part II: large eddy simulations, J. of Fluids Engineering, 125 (1) (2003) 73–83, https://doi.org/10.1115/L1524586.

    Article  Google Scholar 

  43. H. W. Emmons, C. E. Pearson and H. P. Grant, Compressor surge and stall propagation, Transactions of the American Society of Mechanical Engineers, 77 (4) (1955) 455–467, https://doi.org/10.1115/1.4014389.

    Google Scholar 

  44. X. D. Liu, Y. J. Li, Z. Q. Liu and W. Yang, Experimental and numerical investigation of stall mechanism in centrifugal pump impeller, J. of Applied Fluid Mechanics, 15 (3) (2022) 927–941, https://doi.org/10.47176/jafm.15.03.33165.

    Google Scholar 

  45. J. Lu, S. Yuan, P. Siva, J. Yuan, X. Ren and B. Zhou, The characteristics investigation under the unsteady cavitation condition in a centrifugal pump, J. of Mechanical Science and Technology, 31 (3) (2017) 1213–1222, https://doi.org/10.1007/s12206-017-0220-3.

    Article  Google Scholar 

  46. R. S. Miskovish and C. E. Brennen, Some unsteady fluid forces on pump impellers, J. of Fluids Engineering, 114 (4) (1993) 632–637, https://doi.org/10.1115/L2910078.

    Article  Google Scholar 

  47. K. Imaichi, Y. Tsujimoto and Y. Yoshida, An analysis of unsteady torque on a two-dimensional radial impeller, J. of Fluids Engineering, 104 (2) (1982) 228–234, https://doi.org/10.1115/1.3241815.

    Article  Google Scholar 

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Acknowledgments

The study was financially supported by the National Natural Science Foundation of China (Grant No. 52179093).

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Correspondence to Zhuqing Liu.

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Luan Shi is a master in College of Water Resources and Civil Engineering, China Agricultural University, Beijing, China. His research interests include research on the monitoring method of stall state in centrifugal pump.

Zhuqing Liu is a Professor in College of Water Resources and Civil Engineering, China Agricultural University, Beijing, China. His research interests include flow measurement and numerical simulation research in fluid machinery.

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Shi, L., Liu, Z., Yang, W. et al. Prediction model of stall evolution stages in a centrifugal impeller based on characteristic analysis of the hydraulic torque of blades and support vector machine. J Mech Sci Technol 37, 5185–5198 (2023). https://doi.org/10.1007/s12206-023-0921-8

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