ข้อสอบสามัญเครื่องกล Plant 3/2548

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    6 4

    POWER PLANT 1 - 3 2

    GAS TURBINE 4 - 6 2

    POWER PLANT

    1. 27 MWe 60 bar, 450C Turbine 3 bar Feedheater Turbine Condenser 730 mm Isentropic efficiency Turbine 87%

    . Turbine kg/kg Turbine Pump

    . GeneratorPower transmission Turbine Generator 95% 98%

    . Overall efficiency 90% 10% Auxiliary

    (25 )

    1P = 60 bar

    1T = 450C

    2P = 3 bar

    3P = vac. 730 mm.Hg.

    t = 87%

    1h = 3,301 kJ/kg

    1s = 6.719 kJ/kgK

    3 bar, satT = 133.5C

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    fh = 561 kJ/kg

    fgh = 2,164 kJ/kg

    Q 2'12' x5.3211.672kJ/kgK6.719ss +===

    0.9485x 2' = kJ/kg2,613.572,1640.9485561h 2' =+=

    2,613.573,301

    h3,301

    hh

    hh0.87 2

    2'1

    21t

    =

    ==Q

    kJ/kg2,702.93h 2 = 3 bar, kJ/kg2,725h g =

    2 22 x2,1645612,702.93h +== 0.99x 2 =

    ( ) kJ/kgK6.93985.3210.991.672s2 =+=

    3's= 0.04 bar[ vac.,Hgmm.730PP 3'3 == = 760-730 = 30 mm.Hg 1.01325 bar = 760 mm.Hg bar0.04P3 = ] 6.9398 = 0.422 + 8.051 3'x 3'x = 0.8096 kJ/kg2,090.672,4330.8096121h 3' =+=

    2,090.672,702.93

    h2,702.93

    hh

    hh0.87 3

    3'2

    32t

    =

    ==

    kJ/kg2,170.26h 3 = 33 x2,4331212,170.26h +== 0.842x 3 =

    Feed Heater Heater( ) ( )( )561621 hhm1hhm =

    ( ) ( )( )511 h561m15612,702.93m =

    54 hh =

    ( )( )121561m1m2,141.93 11 =

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    kg/kg0.1704m1 = ( ) ( )( )32121t hhm1hh1W +=

    ( ) ( )26.170,293.702,28296.093.702,2301,3 +=

    kJ/kg1,039.97441.90598.07 =+=

    eMW27OutputNet = 98%95%, mg ==

    Turbine eMW290.980.95

    27=

    =

    Boiler 3s 1029m1,039.97 =&

    100.39kg/s27.886m s ==& /h

    Boiler

    OverallBoilerQ

    OutputNet90%,

    ==

    ( )0.9

    hhm

    MW2710%MW27

    71S

    ee

    =

    &

    ( )7

    3

    h3,30127.886

    0.91024.3

    =

    Pump Work, 76 hh =

    ( )5613,30127.886

    1021.87

    3

    Overall

    =

    28.62%=

    2. 15 bar 300C Parsons turbine 20 stages 0.1

    bar Turbine Stage efficiency 75% Reheat factor 1.05 10 MW Turbine Stage

    Turbine 1 bar Blade 20 Blade speed ratio = 0.7 Diameter

    Turbine Blade =10

    1

    Blade Blades (25 )

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    15 bar, 300C Parsons Turbine 20 Stages 0.1 bar

    et MW10W1.05,factorReheat75%,Stage == Stage Degree of Reaction = 50%- Stator Rotor

    OptimumC

    U

    1

    W Stage 2Um&= Turbine ( )o Stage ( )s

    R so = R Reheat factor

    1C

    UOptimum 1.050.75o = 7875.0=

    o'i

    oi

    hh

    hh

    =

    15 bar, 300C,

    kJ/kg3,039h i =

    kJ/kgK6.919s i =

    0.1 bar,

    kJ/kg921h f =

    kJ/kg2,392h fg =

    kJ/kgK649.0s f =

    kJ/kgK5.7s fg =

    o'o'i x7.50.649s6.919s +=== 0.836x o' = ( ) kJ/kg2,191.72,3920.836192h o' =+=

    o

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    2,191.73,039

    h3,0390.7875 o

    = kJ/kg2,371.76h o =

    20 Stages Stage sW= Stage

    20

    667.24

    20

    hh oi =

    =

    kJ/kg33.36=

    2U 33.36U2 =

    m/s182.65U = eMW10W =

    ( ) e3

    oi kW1010hhm =&

    31010m667.24 =&

    kg/s14.99m =& Turbine Turbine, P = 1 bar, Blade = 20 2

    0.7C

    U

    1

    =

    Stage,( )UCosC2UVUW 11ws ==

    21 = Degree of Reaction 50% ( )11s C0.720CosC2UW =

    ( )[ ]111 C0.70.9397C2C0.7 = 32

    1 1033.36C0.8256 == m/s201.02C1 =

    m/s140.71U =

    , 11a SinCC = aC 1C

    = 20Sin201.02Ca

    m/s68.75=

    Axial-flow Turbine

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    v

    CACAm aa ==&

    1 bar, Saturated Steam, /kgm1.694v 3g =

    hdA m=

    md h

    10

    dh m=

    10

    dA

    2m=

    1.694

    68.75

    10

    d14.99m

    2

    m ==&

    1.1757d 2m =

    m1.084dm =

    N

    60

    NdU m=

    ( )

    rpm.2,479.11.084

    60140.71N =

    =

    3. (25 )

    3.1 3.2

    1.

    1,000 W/m2 () 700 W/m2

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    2 Solar Thermal powerplant ( ) Solar Photovoltaic Plant (,Solar Cell)

    Solar Photovoltaic Plant (Direct Current, DC) (Alternate Current, AC) (Battery)

    ( 150 1 ) 15 /

    2.

    (Propeller Wind Turbine) (Multiple Blade) (High Torque)

    ( 4 /)

    5 10

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    GAS TURBINE

    4. 7:1 1,000 K 85 % 90% 288 K 750 Cp 1.005 kJ/kg K

    (25 )

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    5. Gas turbine power plant Compressor 6 :1 Recuperator Turbine 2 Compressor Turbine Recuperator Turbine 800C Compressor 15C Isentropic efficiency Compressor 80% Turbine 85% 98%

    (P) Kinetic energy Potential energy Plant Power0.7 kg/s Thermal ratio Effectiveness Heat exchanger 0.65 = 42.6 MJ/kg 97% Specific fuelconsumption kg/kWh = 1.005 1.147 kJ/kgK

    ( ) = 1.4 1.333 (25 )

    80%c =

    98%85%, mtt 21 ===

    MJ/kg42.6HV =

    kJ/kgK1.147CkJ/kgK,1.005C97%, 9a ppb === 1.3331.4, ga ==

    ( ) 1.66866rT

    T 0.28571.4

    0.4

    1

    c

    1

    2' a

    a

    ====

    K480.522881.668T2' ==

    12

    12'c

    TT

    TT0.8

    ==

    240.650.8

    288480.52TT 12 =

    =

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    K528.65T2 =

    K1,073C800T3 ==

    9

    9

    1

    1

    t

    4'

    3 rT

    T

    = (1)

    cmt WW 1 =Q

    af mm ( ) ( )12p43pm TTCTTC ag =

    K215.1698.0

    240.651.1471.005TT 43 ==

    K84.578215.161,073T4 ==

    4'3

    43

    tTT

    TT0.85

    1

    ==Q

    K13.5320.85

    215.16TT 4'3 ==

    K819.87253.131,073T4' ==

    (1)

    1.309rr819.87

    1,073 0.2498t

    1.333

    0.333

    t 11===

    ( ) 2.9384r1.3091t

    4.003==

    2.0422.9384

    6r2t

    ==

    ( ) 1.19522.042rT

    T 0.24981

    t

    5'

    4 9

    9

    2===

    K717.7381.1952

    857.84T5' ==

    5'4

    54t

    TT

    TT0.85

    2

    ==

    ( ) K119.087717.738857.840.85TT 54 ==

    K738.753119.087857.84T5 ==

    ( )54pam TTCm/pPower g =

    KkgK

    kJ

    s

    kg087.1911.1470.70.98 =

    kW703.39=

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    528.65738.753

    TT

    TT

    TT0.65 27

    25

    27

    =

    ==

    K567.361TT 27 =

    K665.217528.65136.567T7 =+=

    C/C, ( )73paf TTCmHVm g =

    ( ) /skg0.00769665.2171,07342,600

    1.1470.7m ff =

    =

    /skg0.00793

    97.0

    00769.0m

    ff==

    /kWhkg0.2953h

    s3,600

    kW93.703

    kg/s0.00793

    W

    mf

    f ==

    42,6000.00793

    93.703

    HVm

    W

    f

    cy

    ==

    27.74%=

    6. SPP Combined cycle 3.16 kg/s =156 /GJ Gasturbine = 25.79 MW Steam turbine 11.45 MW 2

    20 bar 250C 2.6 kg/s 30 bar 250C 1.8 kg/s 35.5 MJ/kg (25 )

    SPP CC

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    NG = 156 /GJHV = 35.5 MJ/kg

    GT 25.79 MWST 11.45 MW

    1. 20 bar 250C 2.6 kg/s 2. 30 bar 250C 1.8 kg/s

    STGT21

    +++=

    +=cc

    1 MW7.552,9042.6hm11 ss

    ===

    2 MW5.1442,8581.8hm22 ss

    ===

    MW112.1835.53.16HVm f ===

    44.51%112.18

    49.934

    112.18

    11.4525.795.1447.55cc ==

    +++=