Investigation of Pressure Fluctuation and Pulsating Hydraulic Axial Thrust in Francis Turbines

Under the circumstances of rapid expansion of diverse forms of volatile and intermittent renewable energy sources, hydropower stations have become increasingly indispensable for improving the quality of energy conversion processes. As a consequence, Francis turbines, one of the most popular options,...

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Published inEnergies (Basel) Vol. 13; no. 7; p. 1734
Main Authors Zhou, Xing, Shi, Changzheng, Miyagawa, Kazuyoshi, Wu, Hegao, Yu, Jinhong, Ma, Zhu
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.04.2020
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Abstract Under the circumstances of rapid expansion of diverse forms of volatile and intermittent renewable energy sources, hydropower stations have become increasingly indispensable for improving the quality of energy conversion processes. As a consequence, Francis turbines, one of the most popular options, need to operate under off-design conditions, particularly for partial load operation. In this paper, a prototype Francis turbine was used to investigate the pressure fluctuations and hydraulic axial thrust pulsation under four partial load conditions. The analyses of pressure fluctuations in the vaneless space, runner, and draft tube are discussed in detail. The observed precession frequency of the vortex rope is 0.24 times that of the runner rotational frequency, which is able to travel upstream (from the draft tube to the vaneless space). Frequencies of both 24.0 and 15.0 times that of the runner rotational frequency are detected in the recording points of the runner surface, while the main dominant frequency recorded in the vaneless zone is 15.0 times that of the runner rotational frequency. Apart from unsteady pressure fluctuations, the pulsating property of hydraulic axial thrust is discussed in depth. In conclusion, the pulsation of hydraulic axial thrust is derived from the pressure fluctuations of the runner surface and is more complicated than the pressure fluctuations.
AbstractList Under the circumstances of rapid expansion of diverse forms of volatile and intermittent renewable energy sources, hydropower stations have become increasingly indispensable for improving the quality of energy conversion processes. As a consequence, Francis turbines, one of the most popular options, need to operate under off-design conditions, particularly for partial load operation. In this paper, a prototype Francis turbine was used to investigate the pressure fluctuations and hydraulic axial thrust pulsation under four partial load conditions. The analyses of pressure fluctuations in the vaneless space, runner, and draft tube are discussed in detail. The observed precession frequency of the vortex rope is 0.24 times that of the runner rotational frequency, which is able to travel upstream (from the draft tube to the vaneless space). Frequencies of both 24.0 and 15.0 times that of the runner rotational frequency are detected in the recording points of the runner surface, while the main dominant frequency recorded in the vaneless zone is 15.0 times that of the runner rotational frequency. Apart from unsteady pressure fluctuations, the pulsating property of hydraulic axial thrust is discussed in depth. In conclusion, the pulsation of hydraulic axial thrust is derived from the pressure fluctuations of the runner surface and is more complicated than the pressure fluctuations.
Author Wu, Hegao
Shi, Changzheng
Yu, Jinhong
Miyagawa, Kazuyoshi
Zhou, Xing
Ma, Zhu
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Cites_doi 10.1016/j.renene.2019.12.057
10.1016/j.jfluidstructs.2019.01.013
10.3390/en9020074
10.1115/1.4024805
10.1063/1.5030867
10.1016/j.rser.2015.01.037
10.1016/j.rser.2017.08.090
10.1080/00221686.2012.732971
10.1115/1.2409363
10.1016/j.renene.2013.09.013
10.1016/j.renene.2017.06.005
10.1115/1.4036248
10.1177/1687814015568938
10.1016/j.energy.2015.09.042
10.1016/j.ymssp.2018.02.007
10.1016/j.rser.2014.11.045
10.3390/en9030149
10.1088/1755-1315/240/7/072034
10.1063/1.4999123
10.1088/1755-1315/12/1/012115
10.1177/1687814018824468
10.1016/j.renene.2015.05.026
10.1088/1755-1315/22/3/032054
10.1016/j.renene.2019.12.141
10.1115/1.2409332
10.1115/1.2201631
10.1115/1.4027794
10.1115/1.4038535
10.1115/1.4037500
10.1007/s12206-016-0409-x
10.1115/1.3155944
10.1016/j.jfluidstructs.2016.11.018
10.1016/j.renene.2018.03.089
10.1016/j.rser.2016.09.121
10.1063/1.4994884
10.1631/jzus.A0820478
10.1115/1.4026818
10.1016/j.rser.2013.05.006
10.1016/j.renene.2018.08.111
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References Foroutan (ref_23) 2014; 81
Wu (ref_13) 2007; 129
Laouari (ref_24) 2018; 133
Muhirwa (ref_11) 2019; 150
Okot (ref_5) 2013; 26
Hegao (ref_41) 2020; 48
Trivedi (ref_27) 2017; 9
Anup (ref_25) 2014; 65
Trivedi (ref_9) 2015; 83
Elbatran (ref_3) 2015; 43
Trivedi (ref_31) 2017; 113
Zhang (ref_40) 2009; 10
Bilgili (ref_2) 2018; 126
Xia (ref_21) 2017; 139
Goyal (ref_10) 2017; 29
Gohil (ref_7) 2015; 93
ref_15
ref_37
Ji (ref_12) 2016; 30
Ciocan (ref_22) 2007; 129
Trivedi (ref_26) 2018; 108
Favrel (ref_18) 2017; 69
Arpe (ref_17) 2009; 131
Pasche (ref_16) 2019; 86
Wang (ref_33) 2006; 128
Trivedi (ref_32) 2018; 30
Li (ref_1) 2018; 82
Iliev (ref_35) 2019; 240
Aggidis (ref_4) 2015; 45
Muntean (ref_19) 2010; 12
Trivedi (ref_36) 2014; 136
Trivedi (ref_6) 2013; 51
Trivedi (ref_29) 2013; 135
ref_28
Kan (ref_14) 2015; 7
Trivedi (ref_38) 2018; 140
Zhu (ref_30) 2020; 149
Xing (ref_39) 2019; 50
Zhou (ref_8) 2019; 11
Trivedi (ref_20) 2017; 68
Gao (ref_34) 2018; 140
References_xml – volume: 149
  start-page: 298
  year: 2020
  ident: ref_30
  article-title: Solving the runner blade crack problem for a Francis hydro-turbine operating under condition-complexity
  publication-title: Renew. Energy
  doi: 10.1016/j.renene.2019.12.057
  contributor:
    fullname: Zhu
– volume: 86
  start-page: 13
  year: 2019
  ident: ref_16
  article-title: Origin of the synchronous pressure fluctuations in the draft tube of Francis turbines operating at part load conditions
  publication-title: J. Fluids Struct.
  doi: 10.1016/j.jfluidstructs.2019.01.013
  contributor:
    fullname: Pasche
– ident: ref_37
  doi: 10.3390/en9020074
– volume: 135
  start-page: 111102
  year: 2013
  ident: ref_29
  article-title: Experimental and Numerical Studies for a High Head Francis Turbine at Several Operating Points
  publication-title: J. Fluids Eng.
  doi: 10.1115/1.4024805
  contributor:
    fullname: Trivedi
– volume: 30
  start-page: 075101
  year: 2018
  ident: ref_32
  article-title: Interaction between trailing edge wake and vortex rings in a Francis turbine at runaway condition: Compressible large eddy simulation
  publication-title: Phys. Fluids
  doi: 10.1063/1.5030867
  contributor:
    fullname: Trivedi
– volume: 45
  start-page: 135
  year: 2015
  ident: ref_4
  article-title: State of the art in numerical modelling of Pelton turbines
  publication-title: Renew. Sustain. Energy Rev.
  doi: 10.1016/j.rser.2015.01.037
  contributor:
    fullname: Aggidis
– volume: 82
  start-page: 232
  year: 2018
  ident: ref_1
  article-title: Hydropower development situation and prospects in China
  publication-title: Renew. Sustain. Energy Rev.
  doi: 10.1016/j.rser.2017.08.090
  contributor:
    fullname: Li
– volume: 51
  start-page: 121
  year: 2013
  ident: ref_6
  article-title: Effect of transients on Francis turbine runner life: A review
  publication-title: J. Hydraul. Res.
  doi: 10.1080/00221686.2012.732971
  contributor:
    fullname: Trivedi
– volume: 129
  start-page: 159
  year: 2007
  ident: ref_13
  article-title: CFD-based design optimization for hydro turbines
  publication-title: J. Fluids Eng. Trans. ASME
  doi: 10.1115/1.2409363
  contributor:
    fullname: Wu
– volume: 48
  start-page: 1
  year: 2020
  ident: ref_41
  article-title: Flow-induced vibration analysis of hydropower plant under two transfer paths
  publication-title: J. Huazhong Univ. Sci. Technol. Sci. Ed.
  contributor:
    fullname: Hegao
– volume: 65
  start-page: 227
  year: 2014
  ident: ref_25
  article-title: Transient numerical analysis of rotor-stator interaction in a Francis turbine
  publication-title: Renew. Energy
  doi: 10.1016/j.renene.2013.09.013
  contributor:
    fullname: Anup
– volume: 113
  start-page: 397
  year: 2017
  ident: ref_31
  article-title: Investigations of unsteady pressure loading in a Francis turbine during variable-speed operation
  publication-title: Renew. Energy
  doi: 10.1016/j.renene.2017.06.005
  contributor:
    fullname: Trivedi
– volume: 139
  start-page: 091101
  year: 2017
  ident: ref_21
  article-title: Evolutions of Pressure Fluctuations and Runner Loads During Runaway Processes of a Pump-Turbine
  publication-title: J. Fluids Eng.
  doi: 10.1115/1.4036248
  contributor:
    fullname: Xia
– volume: 7
  start-page: 1
  year: 2015
  ident: ref_14
  article-title: Numerical study on unidirectional fluid-solid coupling of Francis turbine runner
  publication-title: Adv. Mech. Eng.
  doi: 10.1177/1687814015568938
  contributor:
    fullname: Kan
– volume: 93
  start-page: 613
  year: 2015
  ident: ref_7
  article-title: Effect of temperature, suction head and flow velocity on cavitation in a Francis turbine of small hydro power plant
  publication-title: Energy
  doi: 10.1016/j.energy.2015.09.042
  contributor:
    fullname: Gohil
– volume: 108
  start-page: 188
  year: 2018
  ident: ref_26
  article-title: Investigation of the unsteady pressure pulsations in the prototype Francis turbines—Part 1: Steady state operating conditions
  publication-title: Mech. Syst. Signal Process.
  doi: 10.1016/j.ymssp.2018.02.007
  contributor:
    fullname: Trivedi
– volume: 43
  start-page: 40
  year: 2015
  ident: ref_3
  article-title: Operation, performance and economic analysis of low head micro-hydropower turbines for rural and remote areas: A review
  publication-title: Renew. Sustain. Energy Rev.
  doi: 10.1016/j.rser.2014.11.045
  contributor:
    fullname: Elbatran
– ident: ref_28
  doi: 10.3390/en9030149
– volume: 240
  start-page: 072034
  year: 2019
  ident: ref_35
  article-title: Variable-speed operation and pressure pulsations in a Francis turbine and a pump-turbine
  publication-title: IOP Conf. Ser. Earth Environ. Sci.
  doi: 10.1088/1755-1315/240/7/072034
  contributor:
    fullname: Iliev
– volume: 29
  start-page: 104104
  year: 2017
  ident: ref_10
  article-title: Experimental study of mitigation of a spiral vortex breakdown at high Reynolds number under an adverse pressure gradient
  publication-title: Phys. Fluids
  doi: 10.1063/1.4999123
  contributor:
    fullname: Goyal
– volume: 12
  start-page: 012115
  year: 2010
  ident: ref_19
  article-title: Failure analysis of a Francis turbine runner
  publication-title: IOP Conf. Ser. Earth Environ. Sci.
  doi: 10.1088/1755-1315/12/1/012115
  contributor:
    fullname: Muntean
– volume: 11
  start-page: 1
  year: 2019
  ident: ref_8
  article-title: Numerical and experimental investigation of the effect of baffles on flow instabilities in a Francis turbine draft tube under partial load conditions
  publication-title: Adv. Mech. Eng.
  doi: 10.1177/1687814018824468
  contributor:
    fullname: Zhou
– volume: 83
  start-page: 828
  year: 2015
  ident: ref_9
  article-title: Experimental investigations of a model Francis turbine during shutdown at synchronous speed
  publication-title: Renew. Energy
  doi: 10.1016/j.renene.2015.05.026
  contributor:
    fullname: Trivedi
– ident: ref_15
  doi: 10.1088/1755-1315/22/3/032054
– volume: 150
  start-page: 743
  year: 2019
  ident: ref_11
  article-title: A Review on Remedial Attempts to Counteract the Power Generation Compromise from Draft Tubes of Hydropower plants
  publication-title: Renew. Energy
  doi: 10.1016/j.renene.2019.12.141
  contributor:
    fullname: Muhirwa
– volume: 129
  start-page: 146
  year: 2007
  ident: ref_22
  article-title: Experimental Study and Numerical Simulation of the FLINDT Draft Tube Rotating Vortex
  publication-title: J. Fluids Eng.
  doi: 10.1115/1.2409332
  contributor:
    fullname: Ciocan
– volume: 128
  start-page: 649
  year: 2006
  ident: ref_33
  article-title: Simulations and measurements of pressure oscillations caused by vortex ropes
  publication-title: J. Fluids Eng. Trans. ASME
  doi: 10.1115/1.2201631
  contributor:
    fullname: Wang
– volume: 136
  start-page: 121107
  year: 2014
  ident: ref_36
  article-title: Transient Pressure Measurements on a High Head Model Francis Turbine During Emergency Shutdown, Total Load Rejection, and Runaway
  publication-title: J. Fluids Eng.
  doi: 10.1115/1.4027794
  contributor:
    fullname: Trivedi
– volume: 140
  start-page: 1
  year: 2018
  ident: ref_34
  article-title: Experimental Study of the Francis Turbine Pressure Fluctuations and the Pressure Fluctuations Superposition Phenomenon Inside the Runner
  publication-title: J. Fluids Eng.
  doi: 10.1115/1.4038535
  contributor:
    fullname: Gao
– volume: 140
  start-page: 1
  year: 2018
  ident: ref_38
  article-title: Investigations of Compressible Turbulent Flow in a High-Head Francis Turbine
  publication-title: J. Fluids Eng. Trans. ASME
  doi: 10.1115/1.4037500
  contributor:
    fullname: Trivedi
– volume: 30
  start-page: 2029
  year: 2016
  ident: ref_12
  article-title: On the hydraulic axial thrust of Francis hydro-turbine
  publication-title: J. Mech. Sci. Technol.
  doi: 10.1007/s12206-016-0409-x
  contributor:
    fullname: Ji
– volume: 131
  start-page: 081102
  year: 2009
  ident: ref_17
  article-title: Experimental Evidence of Hydroacoustic Pressure Waves in a Francis Turbine Elbow Draft Tube for Low Discharge Conditions
  publication-title: J. Fluids Eng.
  doi: 10.1115/1.3155944
  contributor:
    fullname: Arpe
– volume: 50
  start-page: 1242
  year: 2019
  ident: ref_39
  article-title: Overview and discussion on hydraulic axial thrust in Francis turbine research
  publication-title: J. Hydraul. Eng.
  contributor:
    fullname: Xing
– volume: 69
  start-page: 56
  year: 2017
  ident: ref_18
  article-title: Fluid–structure interaction mechanisms leading to dangerous power swings in Francis turbines at full load
  publication-title: J. Fluids Struct.
  doi: 10.1016/j.jfluidstructs.2016.11.018
  contributor:
    fullname: Favrel
– volume: 126
  start-page: 755
  year: 2018
  ident: ref_2
  article-title: The role of hydropower installations for sustainable energy development in Turkey and the world
  publication-title: Renew. Energy
  doi: 10.1016/j.renene.2018.03.089
  contributor:
    fullname: Bilgili
– volume: 68
  start-page: 87
  year: 2017
  ident: ref_20
  article-title: Fluid-structure interactions in Francis turbines: A perspective review
  publication-title: Renew. Sustain. Energy Rev.
  doi: 10.1016/j.rser.2016.09.121
  contributor:
    fullname: Trivedi
– volume: 9
  start-page: 064502
  year: 2017
  ident: ref_27
  article-title: Investigation of the unsteady pressure pulsations in the prototype Francis turbines during load variation and startup
  publication-title: J. Renew. Sustain. Energy
  doi: 10.1063/1.4994884
  contributor:
    fullname: Trivedi
– volume: 10
  start-page: 1231
  year: 2009
  ident: ref_40
  article-title: Nonlinear dynamic analysis of the Three Gorge Project powerhouse excited by pressure fluctuation
  publication-title: J. Zhejiang Univ. Sci. A
  doi: 10.1631/jzus.A0820478
  contributor:
    fullname: Zhang
– volume: 81
  start-page: 061011
  year: 2014
  ident: ref_23
  article-title: Flow in the Simplified Draft Tube of a Francis Turbine Operating at Partial Load—Part II: Control of the Vortex Rope
  publication-title: J. Appl. Mech.
  doi: 10.1115/1.4026818
  contributor:
    fullname: Foroutan
– volume: 26
  start-page: 515
  year: 2013
  ident: ref_5
  article-title: Review of small hydropower technology
  publication-title: Renew. Sustain. Energy Rev.
  doi: 10.1016/j.rser.2013.05.006
  contributor:
    fullname: Okot
– volume: 133
  start-page: 712
  year: 2018
  ident: ref_24
  article-title: Predicting Unsteady Behavior of Small Francis Turbine at Several Operating Points
  publication-title: Renew. Energy
  doi: 10.1016/j.renene.2018.08.111
  contributor:
    fullname: Laouari
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Snippet Under the circumstances of rapid expansion of diverse forms of volatile and intermittent renewable energy sources, hydropower stations have become increasingly...
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StartPage 1734
SubjectTerms Design
Draft tubes
Electricity
Electricity distribution
Energy conversion
Energy sources
Fluctuations
Francis turbine
hydraulic axial thrust
Hydraulic loading
Hydraulics
Hydroelectric plants
Hydroelectric power
Hydroelectric power stations
Investigations
Load
numerical simulation
partial load operation
Pressure
pressure fluctuation
Pulsation
Renewable energy sources
Researchers
Simulation
Thrust bearings
Turbines
Turbulence models
Vortices
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Title Investigation of Pressure Fluctuation and Pulsating Hydraulic Axial Thrust in Francis Turbines
URI https://www.proquest.com/docview/2387897400
https://doaj.org/article/4b365f1daece40b6ad6281c854c0a70f
Volume 13
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