000 TD C 5.1 GAS TURBINE CYCLES 18.04.2012.ppt

7/25/2019 000 TD C 5.1 GAS TURBINE CYCLES 18.04.2012.ppt

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GAS TURBINE CYCLESand

Power Plants


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Simple Brayton Cycle


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8/64

'eta / o(0*12&alp"a / &(*&&

T03T& / alp"aT0 / 14#(4#4&%

P0 / * 'ar p#/p0/*'ar p4/p&/& 'ar


9/64

T#3T4 / alp"aT4 / 2&2(51%

6 s / 25$(#1 -73-g6 r / 4&8(22wc / 044(5wt / 1*1(0#

w/ wt 9 wc / #4$(15

w/6s:6r e..iciency/44(*;


10/64


11/64

CC GT PP


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A/C Stationary


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GT Cycles wit" Compressor andT)r'ine Losses


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15/64


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Egwit" comp and t)r'ine losses

In an air std Baryton cycle! air entes t"ecompressor at #$$% and & 'ar( T"e press)re

ratio is * and t"e m+m allowa'le temperat)re is$$%( ,etermine t"e temperat)res andpress)res at eac" state in t"e cycle ! t"e t)r'inewor- ! t"e compressor wor- per -g and

e..iciency o. t"e cycle(Compressor E.. / $(*T)rni'e e.. / $(8


17/64

'eta / o(0*12&alp"a / &(*&&Comp e.. / $(*

T)r'ine e.. / $(8

T0=3T& / alp"aT0= / 14#(4#4&%P0 / * 'ar p#/p0/*'ar p4/p&/& 'ar


18/64

K T

T T

T T

K T

T

T

K T

T T

T T

t

c

05.776

83.717

3.604

4

'43

43

'4

'4

3

2

12

1'

2

=

=

==

=

=


19/64

>wc ?a / #$1(* -73-g

>wt?a / 105(2#

wa / 00$(80

6sa / 588(028e..iciency/ #&(1* ; >Compare wit" 44(*;?


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21/64


22/64


23/64


24/64

Egwit" RG


ratio is * and t"e m+m allowa'le temperat)re is$$%( ,etermine t"e temperat)res andpress)res at eac" state in t"e cycle ! t"e t)r'inewor-! t"e compressor wor- per -g and e..iciencyo. t"e cycle(RG E..ecti@eness / 8$;


25/64

T03T& / alp"aT0 / 14#(4#%

T4 / $$%T43T1 /alp"aT1 / 2&2(*4


26/64

K 4.700T

TTTT

3

25

23

=

=


27/64

wc / 044(5

wt / 1*1(0#

w/ wt 9 wc / #4$(15


28/64

6s / 5$0(18 -73-g

E..iciency / 15(48;


29/64


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T:s ,iagram .or Ideal GTC wit"Per.ect Intercooler

T s i gr m or GTC it" Per ect


31/64

T:s ,iagram .or GTC wit" Per.ectIntercooler and Compressor and

T)r'ine losses


32/64


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p&

p 0

p i


34/64

[ ]

12

211

i

i

2

1

2

3

43 p

1

21 p

5

65 p

i

22

1

i1

1

2

34 p12 p65 p

2c1ct

ct

r

r r

r r p p

p p

p pr

1TT

Tc1TT

Tc)TT

1(Tcw

p p

r , p p

r , p p

r

)TT(c)TT(c)TT(cw

)ww(ww

www

=

===

+

=

===

+=+=

=


35/64

= ==

=

==

112

3

4

11

2

p6

5

r r

r r

r TT

r TT

r r T

T


36/64

( ) ( )

0dr dw

Max Work For

1r r Tc1r Tcr 1Tcw

1TT

Tc1TT

Tc)TT

1(Tcw

1

13 p11 p5 p

3

43 p

1

21 p

5

65 p

=

+=

+

=


37/64

( ) ( ) ( )[ ]( ) ( )[ ]

r TT

r

r T

Tr

r TTr

r TT

r r

r )(r Tcr Tc

00r )(r Tc0r Tc0

00r )(r Tc0r Tc00Tc

21

1

31

21

1

3

1

1

321

1

31

1

11

113 p

111 p

113 p

111 p

113 p

111 p5 p

=

=

=

=

=

=+=+


38/64

r TT

r

r TT

r r

r r

r

r r r

21

1

32

21

1

3

2

12

21

=

=

=

=


39/64

I. T# / T& Per.ect IC


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1

21

1

2

1

1

31

p pr

r r

r TTr

=

=

=


41/64

r r

r T

Tr

2

21

1

32

=

=


42/64

1

221

1

21

1

22

p p

r r

p pr

!t

p

pr

==

=

=


43/64

21i

1

21i

1

2

1

i

1

21

p p p p

p p p

p p

p p

p p

r

!t

=

=

=

=


44/64

Eg


ratio is * and t"e m+m allowa'le temperat)re is$$%( ,etermine t"e temperat)res andpress)res at eac" state in t"e cycle ! t"e t)r'inewor- ! t"e compressor wor- per -g ande..iciency o. t"e cycle(Per.ect IC


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p&

p 0

p i


46/64

( )

( ) 346.1r p p

346.1r

p p

811.1

2857.0

2

i

21

1

1

i1

==

=

==

=

==


47/64

K 65.717T

TT

K 1300T

K 77.403T

TT

K 300TT

K 77.403T

TT

6

6

5

5

4

23

4

13

2

1

1

2

=

=

==

=

===

=


48/64

( ) ( )

( ) ( )( ) ( )

( ) ( )

( ) ( )

( )")7.44"(84.41

#w

")27.4$)(k%&k02.66(k%&k71.$00TTc#

")65.01)(k%&k40.363(k%&k67.376www

)(0.0")k%&k25.585(k%&k25.585TTcw

( 14.74")k%)(244.64k &k%&k57.208ww

k &k2$.104TTcw

k%&k2$.104TTcw

45 p

ct

65 pt

cc

34 p2c

12 p1c

==+==

+==

==

====

==

T:s iagram or GTC wit"


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T:s ,iagram .or GTC witCompressor and t)r'ine losses and

Per.ect Intercooler

p&

p 0

p i

0=04=

4

5=5


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[ ]( ) ( )

( ) ( )

( ) ( )

2ic

3'

3434

3'

2ic

1ic

1'

1212

1'

1ic

it'

565'

5

65it

34 p12 p65 p

2c1ct

ct

TTTT

TT

TT

TTTT

TT

TT

TTTT

TT

TT

)TT(c)TT(c)TT(cw

)ww(ww

www

44

22

6

6

=

=

=

=

=

=

+=+=

=


51/64

[ ]

( ) ( ) ( )

+

=

+

=

+=

2ic

3

'

3 p1ic

1

'

1 pit5

'

5 p

2ic

3'

p1ic

1'

pit'

5 p

34 p12 p65 p

1T

T

Tc

1T

T

TcT

T1Tcw

TTc

TTcTTcw

)TT(c)TT(c)TT(cw

42

6

42

6


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12

211

i

i

2

1

2

i

22

1

i1

1

2

r

r r

r r p

p

p

p

p

pr

p

pr ,

p

pr ,

p

pr

=

===

===


53/64

=

==

=

==

&&0

#

&&

p1

r r

r r

r T

T

r T

T

r r T

T

4

0

5


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( ) ( )

0dr dw

Max Work For

1r r Tc1r Tcr 1Tcw

1

12ic

3 p1

1ic

1 p

it

5 p

=

+=


55/64

( ) ( )

++

=

=

=

=+

=

r TT

r

r T

Tr

r r )(Tcr Tc

00r r )(Tc

0r Tc

0

0dr

dw

w*axi*!*For

2ic

1ic

1

321

2ic

1ic

1

3111

11

2ic

3 p11

1ic

1 p

11

2ic

3 p11

1ic

1 p

1


56/64

21i

11

2i

1

2

1

i

1

2ic1ic

21

2ic

1ic

1

2

1

2ic

1ic

1

31

21

2ic

1ic

1

31

p p p

p p p

p

p p

p p

r r

a+dT1T3+%i+t rcoo-i p r ctFor

r r

T1T3+%i+t rcoo-i p r ctFor

r TTr

r TT

r

=

=

=

===

=

=

=

=


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58/64


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60/64

K 82.$65T

TT

K 1300TT

K 82.$65T

346.1TT

K 1300TK 43.543T

TT

6

26

5

35

4

1

4

3

3

2

1

2

==

===

==

==

=


61/64

( ) ( )

( ) ( ) ( )

( ) ( )( ) ( )

")7.44"($.38#

w

)k%&k02.66(k%&k2.10$6TTcTTc#

k%&k07.427www

k%&k71.671TTcTTcw

k%&k64.244TTcw

65 p23 p

ct

65 p43 pt

12 pc

==

=+===

=+=

==


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