POWER GENERATING MACHINE SYSTEM

Information

  • Patent Application
  • 20220325636
  • Publication Number
    20220325636
  • Date Filed
    November 11, 2019
    5 years ago
  • Date Published
    October 13, 2022
    2 years ago
  • Inventors
    • ARI; Bayram
Abstract
A power generating machine system is connected to the thermodynamic field similar to a steam power plant that can be used both mobile and in a fixed manner, which uses fluid liquid nitrogen and/or liquid air mixture and atmosphere air as an energy source. The power generating machine system is not harmful to the environment.
Description
TECHNICAL FIELD

The invention is related to a power generating system connected to the thermodynamic field similar to a steam power plant that can be used both mobile and in a fixed manner, which uses fluid liquid nitrogen and/or liquid air mixture and atmosphere air as an energy source.


BACKGROUND

Water and water vapor is used in the steam power plants of the art. In steam power plants, additionally a boiler is present. In these boilers various fuels such as LPG, diesel oil, fuel oil, natural gas etc., are used. Some of these power plants operate according to the supercritical rankine cycle. In the steam power plants in such closed systems, liquid and steam is heated at a constant pressure and is then cooled. The fluid inside the pump is isoentropically compressed and the fluid inside the turbine can be isoentropically expanded. Differences in kinetic and potential energy are neglected and the heat transfer in a heat exchanger is carried out at a constant pressure. Continuous process conditions apply and heat loss in the heat exchanger, tanks, pipes and turbines are negligibly isolated. The properties of the fluid are kept constant, heat transfer in axial length is minimal and continuity equation is continuously provided.


In order to obtain the real cycle of steam engines, it is necessary to take into account the required difference in order to overcome frictional losses occurring at various points and heat losses and to provide heat transfer in the heaters.


Due to isoentropical compression and expansion division processes that are a crucial part of the compression process and the expansion process in a turbine, differences occur in thermodynamic features.


Several developments have been carried out in relation to a power generating machine system.


In the patent document numbered GB1214758A of the prior art, overloaded steam generators with super charge apparatus comprising a compressor and a gas turbine is disclosed.


In the United States patent document numbered U.S. Pat. No. 6,729,136B2 of the prior art, an energy generating power plant for a utility device which is used to expand and contract a liquid metal similar to mercury in order to actuate alternatively a piston, a crank shaft and following this an actuator using liquid nitrogen and a heated transfer fluid is disclosed. By operating the piston to control the various solenoid valves and pumps, timing is provided by allowing the liquid nitrogen to flow into a jacket around a reservoir containing the liquid metal, thereby allowing the piston to cool during the return movement. When suitable, the heated transfer fluid, is pumped with different jacket housing in order to force the remaining nitrogen and thereby to heat the liquid metal and drive the piston by means of force impact. The process is continued such that continuous power is provided to the utility device.


The patent document numbered GB787808A of the prior art, discloses a thermal power plant used to heat seawater and propel a marine tanker. The plant consists of a working environment in which a gaseous working environment flowing in a closed cycle is increased to a higher pressure in a compressor, and then said working environment is heated and following this said environment is discharged from the turbine which emits heat to the working environment that has been compressed inside a heat exchanger before being re-compressed.


In the Chinese patent document numbered CN107035447A of the prior art, compressed critical carbon dioxide energy, and a heat storage system and the operation method thereof is disclosed. The system is formed of a motor, a compressor, a low pressure super critical carbon dioxide storage tank, a cooler, a heat accumulator, a high temperature oil tank, a high pressure super critical carbon dioxide storage tank, a low temperature oil pump and low temperature heating oil.


However the present steam machines obtained as a result of the developments in the art leads to air pollution as they use fossil fuels. Due to this reason the power generating machine system subject to the invention has been required to be developed.


SUMMARY

The aim of this invention is to provide a power generating machine system which eliminates air pollution, where the exhaust discharges only atmospheric air and does not cause any pollution.


Another aim of the invention is to provide a power generating machine system which saves the world from greenhouse effect, reduces global warming, stops the glaciers from melting and enables to cool the earth and which obtains continuous energy from the atmosphere.


Another aim of the invention is to provide a power generating machine system which is not harmful to the environment as it uses air instead of fossil fuel.


Another aim of the invention is to provide a power generating machine system which eliminates the cancerous effects and toxicities caused by CO, CO2 and NOx, sulphur oxides, lead compounds, petrol and diesel steam, emitted out of the exhausts of petrol, diesel fuel and LPG engines.





BRIEF DESCRIPTION OF THE DRAWINGS

The power generating machine system provided to reach the aims of the invention has been illustrated in the attached FIGURES.


According to these figures;


FIGURE is the schematic view of the power generating machine system.





The parts in the figures have each been numbered and their references have been listed below.

  • 17. Heater I
  • 18. Heater II
  • 19. Heater III
  • 20. Heater IV
  • 21. Turbine I
  • 22. Turbine II
  • 23. Housing
  • 24. Pump I
  • 25. Pump II
  • 26. Pump II
  • 27. Pump IV
  • 28. Valve
  • 29. Turbine opening I,
  • 30. Turbine opening II,
  • 31. Turbine opening III,
  • 32. Exhaust opening


DETAILED DESCRIPTION OF THE EMBODIMENT

A force machine system comprising the parts of;

    • Heater I (1) located in the system,
    • Heater II (2) connected to the Heater I (1),
    • Heater III (3) connected to the Heater II (2),
    • Heater IV (4) connected to the Heater III (3),
    • Turbine I (5) connected to the Heater IV (4),
    • Heater (4) whose one end is connected to the Heater I (1) and the other end to the turbine I (5),
    • Reservoir (7) connected to the Heater I (1),
    • Pump I (8) located between the Heater I (1) and reservoir (7),
    • Pump II (9) located between the Heater I (1) and the heater II (2),
    • Pump II (10) located between the Heater I (2) and the heater III (3),
    • Pump IV (11) located between the Heater I (3) and the heater IV (4),
    • Valve (12) located between heater I (1), and heater II (2), heater II (2) and heater III (3) and heater III (3) and heater IV (4),
    • Turbine opening I (15) which enables connection between the turbine I (5) and heater I (1),
    • Turbine opening II (14) which enables connection between the turbine I (5) and heater II (2),
    • Turbine opening II (13) which enables connection between the turbine I (5) and the heater I (3),
    • Exhaust opening (16) located on the turbine II (6).


In the system subject to the invention the superheated steam from the heater IV (4) located inside the heater IV (4) heated by means of air, enters into the turbine I (5). The superheated steam expands and is operated isoentropically in the turbine I (5). The expanded superheated steam in the turbine I (5), is transferred to heater I (1), heater II (2) and heater III (3) respectively by means of the turbine opening I (13), turbine opening II (4) and turbine opening I (15).


If necessary, isoentropical expansion needs to be supported in the turbine I (6) and turbine I (5) located in the system subject to the invention. Following this steam is re-heated until ambient temperature is reached with the heater IV (4). The heated steam operates isoentropically and is discharged.


Liquid nitrogen or liquid air in the reservoir (7) at atmospheric pressure is drawn from the reservoir (7) with the aid of a pump I (8). Pump I (8) pumps the liquid obtained from the reservoir (7) up to a pressure of 8.925 bars. Liquid steam obtained from the pump I (8) is sprayed onto the heater I (1). Steam can be condensed up to m3/kg depending on the amount of sprayed liquid.


The steam condensed in the heater I (1) is transferred to the heater II (2) via the pump II (9). The cool liquid pumped from the heater (1) is sprayed to the heater II (2). Due to the sprayed liquid, steam received from the turbine opening II (14) of the turbine I (5) is condensed depending on the amount of steam and the temperature of cool steam. The steam condensed in the heater I (1) is transferred to heater I (2) pressure via the pump II (9).


The cold liquid pumped from heater I (1) is sprayed to Heater II (2) and the cold liquid pumped from heater II (2) is sprayed to the heater (III). Steam received from the turbine opening I (13) is condensed depending on the amount of steam and the temperature of cool steam. The pump III (10) pumps the liquid obtained from heater II (2) and transfers it to heater III (3). The heater III (3) sprays the liquid received from pump III (10) to heater IV (4) and the liquid obtained from heater (III) is pumped to heater (IV). The pump III (10) pumps the liquid obtained from heater III (3) to heater IV (4). The heater IV (4), heats the liquid received from pump III (10) via a ventilator by using atmosphere air and the system is completed.


In order to obtain the real cycle of steam engines, it is necessary to take into account the required difference in order to overcome frictional losses occurring at various points and heat losses and to provide heat transfer in the heaters. This value is accepted as +5K in calculations. It has been accepted that heat flow to the environment from the pump and the turbines is accepted to be zero. Said losses have been accepted to be ηit=0.90 ve ηip=0.80 when the pump and turbine indicated yields are taken into consideration.


According to a different embodiment of the invention, number of heaters can be changed according to turbine numbers and machine size located in the system.


Thermodynamic calculations relating to the Invention;


Thermodynamic features in 1 atmosphere of air: air=−25° C., m=28.9586 g/mol

















P (MPa)
0.09129(MPa)
0.101325(MPa)
0.10245(MPa)


h (j/mol)
−3702.1/2198.3
hs/hb
−3,645.9/2221.2


s (j/mol · K)
85.624/163.09
ss/sb
86.334/162.34


v (mol/dm3)
30.357
vs
30.200


T (K)
78
T
79


















0.101325
-
0.09129


0.10245
-
0.09139


=




h

s

+

3
,
702.1




-
3
,
645.9

+

3
,
702.1





h
s








=

-
3651.11

j
/
mol







~

=




S

s

-
85.624


86.334
-
85.624




S
s









=

86.268

j
/

mol
.
K








~

=




V

s

-
30.357


30.2
-
30.357




V
s









=

30.21455

mol
/
1







~

=



T
-
78


79
-
78



T








=

78.91

K







~

=




h

b

-
2198.3


2221.2
-
2198.3




h
b









=

2
,
219.1





j
/
mol







~

=




S

b

-
163.09


162.34
-
163.09




S
b









=

162.41

j
/
mol








P1=10,0 MPa, h1=217.055kj/kg

T1=248K, s1=152.164j/mol·K→




















T
240
248
250



h
5,985.3
h1
6,360.7



s
150.94
s1
152.47



















248
-
240


250
-
240


=




h

1

-

5
,
985.3




6
,
360.7

-

5
,
985.3





h
1








=

6
,
285.62

j
/
mol







~

=




S

1

-
150.94


152.47
-
150.94




S
1









=

152.164

j
/

mol
.
K









P2=3.72284MPa, h2=158.983kj/kg

S2=S1=152.164j/mol·K


P=2.0 MPa




















s
151.50
152.169
152.69



h
3,822.5
h2.0
4004.9
















152.164
-
151.9


152.69
-
151.9


=





h

2.

-

3
,
882.5




4
,
4.9

-

3
,
882.5





h
2.


=

3
,
924.28

j
/
mol
























s
151.90
152.164
153.69



h
5,053.8
h5.0
5,419.6
















152.164
-
151.9


153.69
-
151.9


=





h

5.

-

5
,
53.8




5
,
419.6

-

5
,
53.8





h
5.


=

5
,
107.75

j
/
mol
























P
2.0
3.72284
5.0



H
3,924.28
h2
5,107.75

















3
,
722.84

-
2.


5.
-
2.


=





h

2

-

3
,
924.28




5
,
107.75

-

3
,
924.28





h
2


=

4
,
603.92

j
/
mol






P3=2.87207 MPa, h3=147.393 kj/kg

s3=s1=152.164 j/mol·K


P=2.0 MPa




















s
151.50
152.164
152.69



h
3,882.5
h2.0
4,004.9
















152.164
-
151.9


152.69
-
151.9


=





h

2.

-

3
,
882.5




4
,
4.9

-

3
,
882.5





h
2.


=

3
,
924.285

j
/
mol






P=5.0 MPa




















s
151.90
152.164
153.69



h
5,053.8
h5.0
5,419.6
















152.164
-
151.9


153.69
-
151.9


=





h

5.

-

5
,
53.8




5
,
419.6

-

5
,
53.8





h
5.


=

5
,
107.75

j
/
mol
























p
2.0
2.87207
5.0



h
3,924.28
h3
5,107.75
















2.87207
-
2.


5.
-
2.


=





h

3

-

3
,
924.28




5
,
107.75

-

3
,
924.26





h
3


=

4
,
268.3

j
/
mol






P4=1.04961 MPa, h4=112.559 kj/kg

s4=s1=152.164 j/mol·K




















s
152.13
152.164
152.70



h
3,220.6
h1.0
3,292.1
















152.164
-
152.13


152.7
-
152.13


=





h

1.

-

3
,
220.6




3
,
292.1

-

3
,
220.6





h
1.


=

3
,
224.86

j
/
mol






P=2.0 MPa




















s
151.50
152.164
152.69



h
3,822.5
h2.0
4,004.9
















152.164
-
151.5


152.69
-
151.5


=





h

2.

-

3
,
822.5




4
,
4.9

-

3
,
822.5





h
2.


=

3
,
924.285

j
/
mol
























p
1.0
1.04961
2.0



h
3,224.86
h4
3,924.28
















1.04961
-
1.


2.
-
1.


=





h

4

-

3
,
224.86




3
,
924.28

-

3
,
224.86





h
4


=

3
,
259.55

j
/
mol






P5=1,04961 MPa h5=244.873 kj/kg

T5=248 K s5=173.689 j/mol·K




















T
240
248
250



h
6,857.4
h1.0
7,155.5



s
173.01
s1.0
174.23



















248
-
240


250
-
240


=







h

1.

-

6
,
857.4




7
,
155.5

-

6
,
857.4









h
1.


=

7
,
95.885

j
/
mol













=







s

1.

-
173.01


174.23
-
173.01








s
1.


=

173.99

j
/
mol













P=2.0 MPa




















T
240
248
250



h
6,756.1
h2.0
7,062.2



s
166.92
s2.0
168.17



















248
-
240


250
-
240


=







h

2.

-

6
,
756.1




7
,
62.2

-

6
,
756.1









h
2.


=

7
,
0.98

j
/
mol













=







s

2.

-
166.92


168.17
-
166.92








s
2.


=

167.92

j
/
mol































p
1.0
1.04961
2.0



h
7,095.88
h5.0
7,000.98



s
173.99
s5
167.92

















1
,
496.1

-
1.


2.
-
0.1


=





h

5

-

7
,
95.88




7
,
0.98

-

7
,
95.88





h
5


=

7
,
91.172

j
/
mol










=





s

5

-
173.99


167.92
-
173.99





s


5


=

173.689

j
/
mol







P6=0.101325MPa h5=125.706kj/kg

s6=s5=173.689 j/mol·K T6=126.8 K


S6=ss=ss+x(sb−ss)


173,689=86.268+x(162,41−86,268)


173,689−86.268=76.142x


x=1.148 (at the superheated vapour region)




















s
173.50
173.689
173.96



h
3,616.0
h6
3,675.1



T
126
T6
128
















173.689
-
173.5


173.96
-
173.5


=





h

6

-

3
,
616.




3
,
6751

-

3
,
616.





h
6


=

3
,
640.28

j
/
mol










=





T

6

-
126


128
-
126




T
6


=

126.8
K







P7=0.101325 MPa

v7=30.21455 mol/l→v7=0.00114289 m3/kg

h7=−3651.11 j/mol→h7=−126.080 kj/kg

−WPa=v7 (P8−P7)→−WPa=0.00114289 (1049.61−101.325)=1.084 kj/kg

−WPa=1.084 kj/kg

−WPa−h8−h7→1.084=h8+126.080→h8=−124.996 kj/kg

P9=1.04961 MPa v9=25.058 mol/l→v9=0.00137809 m3/kg

h9=−1,967.8 j/mol→h9=−67,952 kj/kg

−WPb=v9(P10−P9)→−WPb=0.00137809(2872.07−1,049.6)


−WPb=2.511 kj/kg

−WPb=h10−h9→2.511=h10+67.952→h10=−65.411 kj/kg

P11=2.87207 MPa v11=19.278 mol/l→v11=0.00179127 m3/kg

h11=−475.47 j/mol→h11=−16.419 kj/kg

−WPc=v11(P12−P11)→−WPc=0.00179127(3722.84−2872.07)


−WPc=1.524 kj/kg

−WPc=h12−h11→1.524=h12+16.419→h12=−14.899 kj/kg

P13=3.72284 MPa v13=14.198 mol/l→v13=0.00243218 m3/kg

h13=478.83 j/mol→h13=16.535 kj/kg

−WPd=v13(P14−P13)→−WPd=0.00243218(10,000−3,722.84)


−WPd=15.267 kj/kg

−WPd=h14−h13→15.267=h14−16.535→h14=31.802 kj/kg

Calculations regarding Enthalpy points, pump works and condensed masses;




















h1 = 217.055 kj/kg






h2 = 158.983 kj/kg






h3 = 147.393 kj/kg






h4 = 112.559 kj/kg






h5 = 244.873 kj/kg






h6 = 125.706 kj/kg






h7 = 126.080 kj/kg






h8 = −124.996 kj/kg






h9 = −67.952 kj/kg





h10 = −65.441 kj/kg




h11 = −16.419 kj/kg




h12 = −14.895 kj/kg




h13 = 16.535 kj/kg




h14 = 31.802 kj/kg











m1=0.180 kg, m2=0.189 kg, m3=0.152 kg, m=0.520 kg

−WPa=1.084 kj/kg, WPb=2.511 kj/kg, −WPc=1.524 kj/kg, −WPd=15.267 kj/kg

m1(h2−h13)=(1−m1)(h13−h12)→m1(158.983−16.353)=(1−m1)(16.553+14.895)


142.63m1=31.43−31.43m1→142.63m1+31.43m1=31.43


m1=0.180 kg

m2(h3−h11)=(1−m1−m2)


m2(147,393+16.419)=(1−0.180−m2)(−16.419+65.441)


163.812m2=40.198−49.022m2→m2=0.189kg

m3(h4−h9)=(1−m1−m2−m3)(h9−h8)


m3(112.559+67.952)=(1−0.180−0.189−m3)(−67.952+124.996)


180.511m3=35.995−57.044m3

180.511m3+57.044m4=35.995→m3=0.151kg

m=m1+m2+m3=0.180+0.188+0.0151=0.52kg

W=Specific job;


WT=h1−h2+(1−m1)(h2−h3)+(1−m1−m2)(h3−h4)+(1−m)(h5−h6)


WT=217.055−158.983+(1−0.180)(158.983−147.393)+(1−0.180−0.189) . . . x(147.393−112.559)+(1−0.520)(244.873−125.706)=


WT=58.072+9.504+21.980+57.200=146.756

WT=146.756kj/kg

Wnet=WT−(1−m)WPa−(1−m+m3)WPb−(1−m+m2+m3)WPc−WPd


Wnet=146.756−(1−0.520)1.084−(1−0,520+0.152)2.511+(1−0.520+0.152+0.189) . . . x 1.524−15.267
Wnet=146.756−0.520−1.758−1.251−15.267

Wnet=128.131 kj/kg


Thermal Efficiency;

q=h1−h14+(1−m)(h5−h4)


q=217.055−31.802+(1−0.520)(244.873−112.559)


q=185.253+63.511=248,764 kj/kg, q=248.764 kj/kg


ηtherma=Wnet/q=128.131/248.764=%51.51,ηthermal=%51.51


Capacity of 1 kg fluid;


k=Wnet/(1−m)=128.131/(1−0.520)=266.939kj/kg, k=266.939kj/kg


Capacity for M=400 kg reservoir;







K
=


kM
3600

=



(


(
266.938
)



(
400
)


)


/
3600

=

29.66

kWh




,



K
=

29.66


kWh






Irreversibility effect and Real Cycle;


In order to obtain the real cycle of steam engines, it is necessary to take into account the required difference in order to overcome frictional losses occurring at various points and heat losses and to provide heat transfer in the heaters.


Due to isoentropical compression and expansion division processes that are a crucial part of the compression process and the expansion process in a turbine, differences occur in thermodynamic features. It has been accepted that heat flow to the environment from the pump and the turbine is accepted to be zero. Said losses are as follows when pump and turbine indicated yields are taken into consideration;


Has been accepted as, ηit=0.90, ηip=0.80


Wit=WT·ηit=146.756×0.90=132.080kj/kg, Wit=132.080kj/kg

−Wip=Wpip=(WT−Wnet)/ηip=(146−756−128.131)/0.8


−Wip=23.281 kj/kg

Wnet,i=Wit−Wip=132.080−23.281=108.799 kj/kg

Wnet,i=108.799 kj/kg










η
thermal

=





w
it

-

w
ip




h

1

-

h

14

+


(

1
-
m

)



(


h

5

-

h

4


)







h
14








=



h
13

+

(


(


h
14

-

h
13


)

/

η
ip


)








=


16.535
+


(

(

31.802
-
16.535

)

)

/


(
0.8
)



h
14










=


35.619

kj
/
kg








ηthermal=(132.080−23.281)/((217.055−35.619)+(1−0.520)(244.873−112.559))


ηthermal=%44.42


Yield provided by 1 kg liquid air: k=Wnet/1−m=108.799/1−0.52


k=226.664kj/kg

Capacity of M=400 kg reservoir


K=k·M/3600=((226.664×400))/3600→K=25.185 kWh

Thermodynamic calculations relating to the Invention;


Thermodynamic features of air in the atmosphere: air=+35° C., m=28.9586 g/mol

















P (MPa)
0.09129(MPa)
0.101325(MPa)
0.10245(MPa)


h (j/mol)
−3702.1/2198.3
hs/hb
−3,645.9/2221.2


s (j/mol · K)
 85.624/163.09
ss/sb
 86.334/162.34


v (mol/dm3)
30.357
vs
30.200


T (K)
78
T
78.91


















0.101325
-
0.09129


0.10245
-
0.09139


=




hs
+

3
,
702.1





-
3

,
645.9

+

3
,
702.1





h
s








=



-
3651.11



j
/
mol









=





Ss
-
85.624


86.334
-
85.624




s
s


=

86.268

j
/

mol
·
K












=





Vs
-
30.357


30.2
-
30.357




v
s


=

30.21455

mol
/
l











=





T
-
78


79
-
78



T

=

78.91

K











=





hb
-
2198.3


2221.2
-
2198.3




h
b


=

2
,
219.1

j
/
mol











=





Sb
-
163.09


162.34
-
163.09




s
b


=

162.41

j
/
mol










P1=10.0 MPa, h1=289.446 kj/kg

T1=308K, s1=159.752j/mol·K




















T
300
308
310



h
8,114.2
h1
8,448.9



s
158.88
s1
159.9



















308
-
300


310
-
300


=






h

1

-

8
,
114.2




8
,
448.9

-

8
,
114.2





h
1


=

8
,
381.96

j
/
mol










=






S

1

-
158.88


159.97
-
158.88




s
1


=

159.752

j
/

mol
·
K











P2=3.72284MPa, h2=211.815kj/kg

S1=S2=159.752 j/mol·K


P=2.0 MPa




















s
159.58
159.752
160.42



h
5,187.6
h2.0
5,348.6
















159.752
-
159.58


160.42
-
159.58


=






h

2

.0

-

5
,
187.6




5
,
348.6

-

5
,
187.6





h
2.


=

5
,
220.57

j
/
mol
























s
159.66
159.752
160.94



h
6,787.4
h5.0
7,114.6
















159.752
-
159.66


160.94
-
159.66


=






h

5

.0

-

6
,
787.4




7
,
114.6

-

6
,
787.4





h
5.


=

6
,
810.92

j
/
mol
























P
2.0
3.72289
5.0



H
5,220.57
h2
6,810.92
















3.72284
-
2.


5.
-
2.


=





h

2

-

5
,
220.57




6
,
810.92

-

5
,
220.57





h
2


=

6
,
133.876

j
/
mol






P3=2,87207 MPa, h3=196.241 kj/kg

s3=s1=159.752j/mol·K


P=2 MPa




















s
159.58
159.752
160.42



h
5487.6
h2.0
5,348.6
















159.752
-
159.58


160.42
-
159.58


=






h

2

.0

-

5
,
187.6




5
,
348.6

-

5
,
187.6





h
2.


=

5
,
220.57

j
/
mol






P=5.0 MPa




















s
159.66
159.752
160.94



h
6,787.4
h5.0
7,114.6
















159.752
-
159.66


160.94
-
159.66


=






h

5

.0

-

6
,
787.4




7
,
114.6

-

6
,
787.4





h
5.


=

6
,
810.92

j
/
mol
























p
2.0
2.87207
5.0



h
5,220.57
h3
6,810.92
















2.87207
-
2.


5.
-
2.


=





h

3

-

5
,
220.57




6
,
810.92

-

5
,
220.57





h
3


=

5
,
682.87

j
/
mol






P4=1.04961 MPa h4=149.421 kj/hg

s4=s1=159.752 j/mol·K




















s
159.62
159.752
160.63



h
4,259.6
h1.0
4,418.16
















159.752
-
159.62


160.63
-
159.62


=






h

1

.0

-

4
,
259.6




4
,
418.16

-

4
,
259.6





h
1.


=

4
,
280.38

j
/
mol






P=2.0 MPa




















s
159.58
159.752
160.42



h
5,187.6
h2.0
5,348.6
















159.752
-
159.58


160.42
-
159.58


=






h

2

.0

-

5
,
187.6




5
,
348.6

-

5
,
187.6





h
2.


=

5
,
220.57

j
/
mol
























p
1.0
1.04961
2.0



h
4,280.38
h4
5,220.57
















1.04961
-
1.


2.
-
1.


=





h

4

-

4
,
280.38




5
,
220.57

-

4
,
280.38





h
4


=

4
,
327.02

j
/
mol






P5=1,04961 MPa h5=306.352 kj/kg

T5=308 K s5=180.121 j/mol·K




















T
300
308
310



h
8,638.1
h1.0
8,933.6



s
179.64
s1.0
180.61



















308
-
300


310
-
300


=





h

1

.0

-

8
,
638.1




8
,
933.6

-

8
,
638.1





h
1.








=

8
,
874.5

j
/
mol







~

=





s

1

.0

-
179.64


180.61
-
179.64




s
1.









=

180.416

j
/

mol
.
K









P=2.0 MPa




















T
300
308
310



h
8,574.3
h2.0
8,874.3



s
173.68
s2.0
174.67



















308
-
300


310
-
300


=




h

2.

-

8
,
574.3




8
,
874.3

-

8
,
574.3





h
2.








=

8
,
814.3

j
/
mol







~

=





s

2

.0

-
173.68


174.7
-
173.68




s
2.









=

174.472

j
/

mol
.
K



























p
1.0
1.04961
2.0



h
8,874.5
h5
8,814.3



s
180.416
s5
174.472



















1.04961
-
1.


2.
-
1.


=




h

5

-

8
,
874.5




8
,
814.3

-

8
,
874.5





h
5








=

8
,
871.51

j
/
mol







~

=




s

5

-
180.416


174.472
-
180.416




s
5









=

180.121

j
/

mol
.
K









P6=0.101325 MPa h6=157.217 kj/kg

s6=s5=180.120 j/mol·K T6=157.88 K


s6=s5+x(sb−ss)


180,121=86.268+x(162,41−86,268)


180,121−86.268=76.142x


x=1.232 (at the superheated vapour region)




















s
179.59
180.121
180.51



h
4,468.3
h6
4,614.7



T
155
T6
160



















180.121
-
179.59


180.51
-
179.59


=




h

6

-

4
,
468.3




4
,
614.7

-

4
,
468.3





h
6








=

4
,
552.798

j
/
mol







~

=




T

6

-
155


160
-
155




T
6









=

157.88

K








P7=0.101325 MPa

v7=30.21455 mol/l→v7=0.00114289 m3/kg

h7=−3651.11 j/mol→h7=−126.080 kj/kg

−WPa=v7(P8−P7)→−WPa=0.00114289 (1049.61−101.325)=1.084 kj/kg

−WPa=1.084 kj/kg

−WPa=h8−h7→1.084=h8+126.080Θh8=−124.996 kj/kg

P9=1.04961 MPa v9=25.058 mol/l→v9=0.00137809 m3/kg

h9=−1,967.8j/mol→h9=−67,952 kj/kg

−WPb=v9(P10−P9)→−WPb=0.001378085 (2872.07−1,049.61)


−WPb=2.511 kj/kg

−WPv=h10−h9→2.511=h10+67.952→h10=−65.411 kj/kg

P11=2.87207 MPa v11=19.278 mol/l→v11=0.00179127 m3/kg

h11=−475.47 j/mol→h11=−16.419 kj/kg

−WPc=v11(P12−P11)→−WPc=0.00179127(3722.84−2872.07)


−WPc=1.524 kj/kg

−WPc=h12−h11→1.524=h12+16.419→h12=−14.899 kj/kg

P13=3.72284 MPa v13=14.198 mol/l→v13=0.00243218 m3/kg

h13=478.83 j/mol→h13=16.535 kj/kg

−WPd=v13(P14−P13)→−WPd=0.00243218(10,000−3,722.84)


−WPd=15.267 kj/kg

−WPd=h14−h13→15.267=h14−16.535→h14=31.802 kj/kg

Calculations regarding Enthalpy points, pump works and condensed masses;















h1 = 289.446 kj/kg  




h2 = 211.815 kj/kg  




h3 = 196.24 kj/kg   




h4 = 149.421 kj/kg  




h5 = 306.352 kj/kg  




h6 = 157.217 kj/kg  




h7 = −126.080 kj/kg




h8 = −124.996 kj/kg




h9 = −67.952 kj/kg



h10 = −65.441 kj/kg


h11 = −16.419 kj/kg


h12 = −14.895 kj/kg


h13 = 16.535 kj/kg   


h14 = 31.802 kj/kg   










md1=0.139 kg, m2=0.161 kg, m3=0.145 kg, m=0,445 kg

−WPa=1.084 kj/kg, −WPb=2.511 kj/kg, −WPc=1.524 kj/kg, −WPd=15.267 kj/kg

m1(h2−h13)=(1-m1)(h13−h12)→m1(211.815−16.353)=(1−m1)(16.553+14.895)


195.28m1=31.43−31.43m1→195.28m1+31.43m1=31.43


m1=0.139 kg

m2(h3−h1)=(1−m1−m2)(h11−h10)


m2(196,24+16.419)=(1−0.39−m2)(−16.419+65.441)


212.66m2+49.022m2=42.208→m2=0.161 kg

m3(h4−h9)=(1−m1−m2−m3)(h9−h8)


m3(149.421+67.952)=(1−0.139−0.161−m3)(−67.952+124.996)


217.373m3=39.931−57.044m3


217.373m3+57.044m1=39.931→m3=0.145 kg

m=m1+m2+m3=0.139+0.161+0.0145=0.445 kg

WT=h1-h2+(1−m1)(h2−h3)+(1−m1−m2)(h3−h4)+(1−m)(h5−h6)


WT=289.446−211.815+(1−0.139)(211.815−196.24)+(1−0.139−0.161) . . . =(196.24−149.421)+(1−0.446)(306.352−157.217=
WT=77.631+13.410+32.773+82.770=206.584

WT=206.584 kj/kg

Wnet=WT−(1−m)WPa−(1−m+m3)WPb−(1−m+m2+m3)WPc−WPd


Wnet=206.584−(1−0.445)1.084−(1−0,445+0.145)2.511−(1−0.445+0.161+0.145) . . . ×1.524−15.267
Wnet=206.584−0.602−1.758−1.312−15.267

Wnet=187.645 kj/kg


Thermal Efficiency;

q=h1−h14+(1−m)(h5−h4)


q=289.446−31.802+(1−0.445)(306.352−149.421)


q=257.644+87.097=344,741 kj/kg, q=344.741 kj/kg


ηthermal=Wnet/q=187.645/344.741=%54.43,ηthermal=%54.43


Capacity of 1 kg fluid;


k=Wnet/(1−m)=187.645/(1−0.445)=338.099 kj/kg, k=338.099 kj/kg


Capacity for M=400 kg reservoir;







K
=



k
·
M

3600

=



(


(
338.099
)



(
400
)


)

/
3600

=

37.57

kWh




,

K
=

37.57

kWh






Irreversibility effect and Real Cycle;


In order to obtain the real cycle of steam engines, it is necessary to take into account the required difference in order to overcome frictional losses occurring in various amounts and heat losses and to provide heat transfer in the heaters.


Due to isoentropical compression and expansion division processes that are a crucial part of the compression process and the expansion process in a turbine, differences occur in thermodynamic features. It has been accepted that heat flow to the environment from the pump and the turbine is accepted to be zero. Said losses are as follows when pump and turbine indicated yields are taken into consideration;


Has been accepted as, ηit=0.90, ηip=0.80.


Wit=WTit=206.584.090=185.926 kj/kg, Wnet=185.926 kj/kg

−Wip=Wpip=(WT−Wnet)/ηip=(206−584−187.645)/0.8


−Wip=23.674 kj/kg

Wnet,i=Wit−Wip=185.926−23.674=162.252 kj/kg

Wnet,i=162.252 kj/kg








η



i
,

t

h

e

r

m

a

l



=





W

i

t

-

W

i

p




h

1

-

h

14

+


(

1
-
m

)



(


h

5

-

h

4


)






h
14


=



h
13

+

(


(


h
14





h
13


)

/
η

i

p

)


=


16.535
+


(

(

31.802

16.535

)

)

/


(
0.8
)



h
14




=

35.619

k


j
/
k


g












η



i
,

n

e

t




=


(

185.962

23.674

)

/

(


(

289.446

35.619

)

+

(

1


0.52

)



(

306.352

149.421

)


)












η



i
,

n

e

t



=

%49
.42






Yield provided by 1 kg liquid air: k=Wnet/1−m=162.252/1−0.445


k=292.346 kj/kg

Capacity of M=400 kg reservoir

Claims
  • 1- A power generating machine system, comprising the following components: a first heater located in the system,a second heater connected to the first heater,a third heater connected to the second heater,fourth heater connected to the third heater,a first turbine connected to the fourth heater,a second turbine having a first end connected to the first heater and second end connected to the first turbine,a first pump located between the first heater and a reservoir,a second pump located between the first heater and the second heater,a third pump located between the second heater and the third beater,a fourth pump located between the third heater and the fourth heater.
  • 2- The power generating machine system according to claim 1, wherein the reservoir is connected to the first heater.
  • 3- The power generating machine system according to claim 1, comprising a valve located between the first heater and the second heater, between the second heater and the third heater and between the third heater and the fourth heater.
  • 4- The power generating machine system according to claim 1, comprising a first turbine opening enabling a connection between the turbine and the first heater.
  • 5- The power generating machine system according to claim 1, comprising a second turbine opening enabling a connection between the first turbine and the second.
  • 6- The power generating machine system according to claim 1, comprising a third turbine opening enabling a connection between the first turbine and the third heater.
  • 7- The power generating machine system according to claim 1, comprising an exhaust opening located on the on turbine.
  • 8- The power generating machine system according to claim 2, comprising a valve located between the first heater and the second heater, between the second heater and the third heater and between the third heater and the fourth heater.
  • 9- The power generating machine system according to claim 2, comprising a first turbine opening enabling a connection between the turbine and the first heater.
  • 10- The power generating machine system according to claim 3, comprising a first turbine opening enabling a connection between the turbine and the first heater.
  • 11- The power generating machine system according to claim 2, comprising a second turbine opening enabling a connection between the first turbine and the second heater.
  • 12- The power generating machine system according to claim 3, comprising a second turbine opening enabling a connection between the first turbine and the second heater.
  • 13- The power generating machine system according to claim 4, comprising a second turbine opening enabling a connection between the first turbine and the second heater.
  • 14- The power generating machine system according to claim 2, comprising a third turbine opening enabling a connection between the first turbine and the third heater.
  • 15- The power generating machine system according to claim 3, comprising a third turbine opening enabling a connection between the first turbine and the third heater.
  • 16- The power generating machine system according to claim 4, comprising a third turbine opening enabling a connection between the first turbine and the third heater.
  • 17- The power generating machine system according to claim 5, comprising a third turbine opening enabling a connection between the first turbine and the third heater.
  • 18- The power generating machine system according to claim 2, comprising an exhaust opening located on the second turbine.
  • 19- The power generating machine system according to claim 3, comprising an exhaust opening located on the second turbine.
  • 20- The power generating machine system according to claim 4, comprising an exhaust opening located on the second turbine.
Priority Claims (1)
Number Date Country Kind
2019/12112 Aug 2019 TR national
CROSS REFERENCE TO THE RELATED APPLICATIONS

This application is the national phase entry of International Application No. PCT/TR2019/050938, filed on Nov. 11, 2019, which is based upon and claims priority to Turkish Patent Application No. 2019/12112, filed on Aug. 8, 2019, the entire contents of which are incorporated herein by reference.

PCT Information
Filing Document Filing Date Country Kind
PCT/TR2019/050938 11/11/2019 WO