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Chaotic dynamic characteristics of pressure fluctuation signals in hydro-turbine

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Abstract

The pressure fluctuation characteristics in a Francis hydro-turbine running at partial flow conditions were studied based on the chaotic dynamic methods. Firstly, the experimental data of pressure fluctuations in the draft tube at various flow conditions was de-noised using lifting wavelet transformation, then, for the de-noised signals, their spectrum distribution on the frequency domain, the energy variation and the energy partition accounting for the total energy was calculated. Hereby, for the flow conditions ranging from no cavitation to severe cavitation, the chaos dynamic features of fluctuation signals were analyzed, including the temporal-frequency distribution, phase trajectory, Lyapunov exponent and Poincaré map etc. It is revealed that, the main energy of pressure fluctuations in the draft tube locates at low-frequency region. As the cavitation grows, the amplitude of power spectrum at frequency domain becomes larger. For all the flow conditions, all the maximal Lyapunov exponents are larger than zero, and they increase with the cavitation level. Therefore, it is believed that there indeed exist the chaotic attractors in the pressure fluctuation signals for a hydro-turbine.

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Authors and Affiliations

  1. School of Management, Harbin Institute of Technology, Harbin, 15001, China

    Wen-Tao Su & Shi An

  2. School of Energy Science and Engineering, Harbin Institute of Technology, Harbin, 150000, China

    Wen-Tao Su, Xiao-Bin Li, Chao-Feng Lan & Feng-Chen Li

  3. Key Laboratory of Efficient Utilization of Low and Medium Grade Energy (Tianjin University), Ministry of Education of China, Tianjin, 300072, China

    Xiao-Bin Li & Jian-Sheng Wang

  4. College of Electrical and Electronic Engineering, Harbin University of Science and Technology, Harbin, 150080, China

    Chao-Feng Lan

Authors
  1. Wen-Tao Su
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  2. Xiao-Bin Li
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  3. Chao-Feng Lan
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  4. Shi An
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  5. Jian-Sheng Wang
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  6. Feng-Chen Li
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Corresponding authors

Correspondence to Xiao-Bin Li or Feng-Chen Li.

Additional information

Recommended by Associate Editor Weon Gyu Shin

Xiao-Bin Li received his Ph.D. in Engineering Thermophysics from Harbin Institute of Technology in 2012, and accomplished his post-doc research on microscaled flow in the University of Tokyo in 2015. He is currently a Lecturer of School of Energy Science and Engineering at Harbin Institute of Technology in Harbin, China. His research interests are in the fields of fluid machinery, microscaled flow and heat transfer, and experimental fluid mechanics.

Wen-Tao Su received his Ph.D. in Engineering Thermophysics from Harbin Institute of Technology in 2014. His research interests are in the fields of fluid machinery and computational fluid dynamics.

Chao-Feng Lan received her Ph.D. in Underwater Acoustics Engineering from Harbin Engineering University in 2012. Her research is focusing on the nonlinear acoustics, intelligent control of vibration and noise, and the chaos control and application.

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Su, WT., Li, XB., Lan, CF. et al. Chaotic dynamic characteristics of pressure fluctuation signals in hydro-turbine. J Mech Sci Technol 30, 5009–5017 (2016). https://doi.org/10.1007/s12206-016-1020-x

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  • DOI: https://doi.org/10.1007/s12206-016-1020-x

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