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    Hydro power plants

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    Hydro power plants

    Tail water

    Draft tube gate

    Draft tube

    Turbine

    Main valve

    Penstock

    Air inlet

    Inlet gate

    Surge shaft

    TunnelSand trap

    Trash rack

    Self closing valve

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    The principle the water conduits of

    a traditional high head power plant

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    Ulla- Frre

    Original figur ved Statkraft Vestlandsverkene

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    Intake gate

    Intake trashrack

    Headrace tunnel

    Anchor block

    Surge tank

    Penstock inletValve

    Tunnel Inlettrashrack

    Tunnel Inlet

    Anchor block

    Exp. joint

    Shaddle

    Power house

    Tailrace

    IV G

    SC

    DTR

    DT end gate

    Desilting basin

    gate hoist

    IV -inlet valveR -turbine runnerSC -spiral caseG -generator

    Typ ica l Pow er House w i th Franc is Turb ine

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    Arrangement of a small

    hydropower plant

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    H = 39 mQ = 513 m3/sP = 182 MW

    Drunner=7,5 m

    Ligga Power Plant, Norrbotten, Sweden

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    Borcha Power Plant, Turkey

    H = 87,5 m

    P = 150 MWDrunner=5,5 m

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    Slab concrete dam

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    Arc dam

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    Gates in Hydro Power Plants

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    Types of Gates

    Radial Gates Wheel Gates

    Slide Gates

    Flap Gates

    Rubber Gates

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    Radial Gates at lvkarleby, Sweden

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    Slide Gate

    Jhimruk Power Plant, Nepal

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    Circular gate

    Jhimruk Power Plant, Nepal

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    Trash Racks

    Panauti Power Plant, Nepal

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    Materials

    190Steel, St.42

    206Steel, St.52

    ~ 400~5Concrete

    80~5Wood

    320Max. D: 1,4 m.2,4Max. p = 160 m.GUP

    5160~ 1,0PE

    150Steel, St.37

    [MPa][m][m]

    Max.

    Stresses

    Max.Pressure

    Max.Diameter

    Material

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    Calculation of the change of length

    due to the change of the temperature

    LTL =Where:

    L = Change of length [m]L = Length [m] = Coefficient of thermal expansion [m/oC m]

    T = Change of temperature [o

    C]

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    ExampleCalculation of the head loss

    =

    DcRe

    Power Plant data:H = 100 m Head

    Q = 10 m3/s Flow Rate

    L = 1000 m Length of pipeD = 2,0 m Diameter of the pipeThe pipe material is steel

    Where:c = 3,2 m/s Water velocity

    = 1,30810-6 m2/s Kinetic viscosityRe = 4,9 106 Reynolds number

    g2

    c

    D

    L

    fh

    2

    f =

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    0,013

    Where:Re = 4,9 106 Reynolds number = 0,045 mm RoughnessD = 2,0 m Diameter of the pipe

    /D = 2,25 10-5

    Relative roughnessf = 0,013 Friction factorThe pipe material is steel

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    Calculation of maximum pressure Static head, Hgr (Gross Head)

    Water hammer, hwh Deflection between pipe supports

    Friction in the axial direction

    Hgr

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    E l

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    Example

    m61Tg

    L2chC

    maxwh =

    =

    L = 300 [m]TC = 10 [s]cmax = 10 [m/s]

    g = 9,81 [m/s2]

    L

    C=10m/s

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    Example

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    ExampleCalculation of the pipe thickness

    m009,0Crpt

    tL2CpDL

    t

    si

    tsi

    ==

    =

    MPa57,1hHgp whgr =+=

    Where:

    L = 0,001 m Length of the pipeDi = 2,0 m Inner diameter of the pipet = 206 MPa Stresses in the pipe material = 1000 kg/m3 Density of the waterCs = 1,2 Coefficient of safety

    Hgr = 100 m Gross Head

    hwh = 61 m Pressure rise due to water hammer

    ri

    t

    p

    t t

    Based on:

    Material properties

    Pressure from:

    Water hammer

    Static head

    Calculation of the economical

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    Calculation of the economical

    correct diameter of the pipe

    Diameter [m]

    Cost[$

    ]

    Installationcosts,Kt

    Costsforhydrauliclosses,Kf

    Totalc

    osts,Ktot

    ( )

    0dD

    KKd

    dD

    dK tftot

    =

    +

    =

    Example

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    ExampleCalculation of the economical correct diameter of the pipe

    Hydraulic Losses

    Where:PLoss = Loss of power due to the head loss [W] = Density of the water [kg/m3]

    g = gravity [m/s2

    ]Q = Flow rate [m3/s]hf = Head loss [m]f = Friction factor [ - ]L = Length of pipe [m]

    r = Radius of the pipe [m]C2 = Calculation coefficient

    52

    42

    2

    fLoss

    r

    C

    rg2

    Q

    r2

    LfQghQgP =

    ==

    Power Plant data:H = 100 m HeadQ = 10 m3/s Flow Rate

    plant = 85 % Plant efficiencyL = 1000 m Length of pipe

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    Example

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    Example

    Calculation of the economical correct diameter of the pipeCost for the Pipe Material

    21mmm rCL

    rpr2Ltr2Vm =

    ===

    Where:m = Mass of the pipe [kg]m = Density of the material [kg/m3]V = Volume of material [m3]r = Radius of pipe [m]

    L = Length of pipe [m]p = Pressure in the pipe [MPa] = Maximum stress [MPa]C1 = Calculation coefficientKt = Installation costs []

    M = Cost for the material [/kg]

    21t rCMmMK ==

    NB:

    This is a simplificationbecause no othercomponent then the pipe

    is calculated

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    Calculation of the forces acting on

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    Calculation of the forces acting on

    the anchors

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    Principle drawings of valvesOpen position

    Closed position

    Spherical valve Gate valve

    Hollow-jet valve Butterfly valve

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    Bypass system

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    Pelton turbines

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    Pelton turbines

    Large heads (from

    100 meter to 1800meter)

    Relatively small flow

    rate Maximum of 6

    nozzles

    Good efficiency overa vide range

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