In the United States, electricity is sold using the SI units of kilowatt (kW) or megawatt (MW), and fuel for power generation stations is generally purchased using English units, e.g., British thermal unit (Btu), gallon (gal), and ton. An industrial power plant has an average annual load of 100 MW (electrical). If the overall thermal efficiency is 33% (based on HHV), what is the annual cost of fuel if the plant is fired with (a) natural gas, (b) No. 2 fuel oil, and (c) bituminous coal? Use the data from Tables 2.2, 2.7, and 2.13. Assume the cost of natural gas is $5/million Btu, the cost of No. 2 fuel oil is $3/gal, and the cost of bituminous coal is $60/ton (1 ton = 2000 lbm)

Elements Of Electromagnetics
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In the United States, electricity is sold using the SI units of kilowatt (kW) or megawatt (MW), and fuel for power

generation stations is generally purchased using English units, e.g., British thermal unit (Btu), gallon (gal), and ton. An industrial power plant has an average annual load of 100 MW (electrical). If the overall thermal efficiency is 33% (based on HHV), what is the annual cost of fuel if the plant is fired with (a) natural gas, (b) No. 2 fuel oil, and (c) bituminous coal? Use the data from Tables 2.2, 2.7, and 2.13. Assume the cost of natural gas is $5/million Btu, the cost of No. 2 fuel oil is $3/gal, and the cost of bituminous coal is $60/ton (1 ton = 2000 lbm)

 

TABLE 2.7
Typical Properties of Fuel Oils
Fuel Grade No.
Property
Color
Specific gravity at 16°C
Kinematic viscosity at 38°C (m²/s)
Pour point (°C)
Flash point (°C)
Autoignition temp. (°C)
Carbon (wt%)
Carbon residue (wt%)
Hydrogen (wt %)
Oxygen (wt%)
Ash (wt%)
HHV (MJ/kg)
Fuel Type
Proximate analysis, wt%
Volatile matter
Fixed carbon
Ultimate analysis, wt%
Hydrogen
Carbon
Sulfur
Nitrogen
Oxygen
HHV
(Btu/lb)
(MJ/kg)
81
19
Wood
6
50
0.1
0.1
44
1
Kerosene
Clear
0.825
8700
20.2
1.6 x 10-6
<-17
38
230
86.5
Trace
13.2
0.01
46.2
65
35
6
55
0.4
2
Peat Lignite
0.6
38
Distillate
Amber
0.865
2.6 x 10-6
<-18
38
260
86.4
Trace
12.7
0.04
9500
22.1
<0.01
45.4
TABLE 2.13
Representative Proximate Analysis, Ultimate Analysis, and Heating Value
of Solid Fuels (Dry, Ash-free)
55
45
51115
68
4
10,700
24.9
Very
Light
Residual
Black
0.928
15 x 10-6
-23
55
263
86.1
2.5
11.9
0.27
0.02
43.8
40
60
58223
78
13
5
Light
Residual
Bituminous
Coal
14,000
32.5
Black
0.953
50 x 10-6
-1
55
-
85.5
5.0
11.7
0.3
0.03
43.2
Residual
Black
0.986
360 x 10-6
19
6
66
408
85.7
12.0
10.5
0.38-0.64
0.04
42.4
Refuse-Derived
Fuel
85
15
7
52
0.3
0.7
40
9700
22.5
TABLE 2.2
Typical Heating Value of Some Gaseous Fuels
Fuel
HHV
Hydrogen (H₂)
Carbon monoxide (CO)
Methane (CH₂)
Ethane (C₂H₂)
Propane (C₂H₂)
Butane (C₂H₁0)
Ethylene (C₂H₂)
Acetylene (C₂H₂)
Propylene (C₂H₂)
Natural gas (typical)
Coal producer gas (typical)
Wood producer gas (typical)
At 1 atm, 25°C
(MJ/m³) MJ/kg (MJ/m³) MJ/kg
142.2
11.7
11.6
36.4
63.8
90.8
117
57.7
53.2
84.2
38.3
5.2
4.8
10.1
55.5
51.9
50.4
49.5
50.3
49.9
48.9
53.5
5.3
5.1
LHV
9.9 121.2
11.6
10.1
32.8
50.0
58.4
47.8
83.6
46.4
45.8
47.2
48.2
45.8
48.3
4.4
4.2
108
54.1
51.4
78.8
34.6
4.3
4.0
Transcribed Image Text:TABLE 2.7 Typical Properties of Fuel Oils Fuel Grade No. Property Color Specific gravity at 16°C Kinematic viscosity at 38°C (m²/s) Pour point (°C) Flash point (°C) Autoignition temp. (°C) Carbon (wt%) Carbon residue (wt%) Hydrogen (wt %) Oxygen (wt%) Ash (wt%) HHV (MJ/kg) Fuel Type Proximate analysis, wt% Volatile matter Fixed carbon Ultimate analysis, wt% Hydrogen Carbon Sulfur Nitrogen Oxygen HHV (Btu/lb) (MJ/kg) 81 19 Wood 6 50 0.1 0.1 44 1 Kerosene Clear 0.825 8700 20.2 1.6 x 10-6 <-17 38 230 86.5 Trace 13.2 0.01 46.2 65 35 6 55 0.4 2 Peat Lignite 0.6 38 Distillate Amber 0.865 2.6 x 10-6 <-18 38 260 86.4 Trace 12.7 0.04 9500 22.1 <0.01 45.4 TABLE 2.13 Representative Proximate Analysis, Ultimate Analysis, and Heating Value of Solid Fuels (Dry, Ash-free) 55 45 51115 68 4 10,700 24.9 Very Light Residual Black 0.928 15 x 10-6 -23 55 263 86.1 2.5 11.9 0.27 0.02 43.8 40 60 58223 78 13 5 Light Residual Bituminous Coal 14,000 32.5 Black 0.953 50 x 10-6 -1 55 - 85.5 5.0 11.7 0.3 0.03 43.2 Residual Black 0.986 360 x 10-6 19 6 66 408 85.7 12.0 10.5 0.38-0.64 0.04 42.4 Refuse-Derived Fuel 85 15 7 52 0.3 0.7 40 9700 22.5 TABLE 2.2 Typical Heating Value of Some Gaseous Fuels Fuel HHV Hydrogen (H₂) Carbon monoxide (CO) Methane (CH₂) Ethane (C₂H₂) Propane (C₂H₂) Butane (C₂H₁0) Ethylene (C₂H₂) Acetylene (C₂H₂) Propylene (C₂H₂) Natural gas (typical) Coal producer gas (typical) Wood producer gas (typical) At 1 atm, 25°C (MJ/m³) MJ/kg (MJ/m³) MJ/kg 142.2 11.7 11.6 36.4 63.8 90.8 117 57.7 53.2 84.2 38.3 5.2 4.8 10.1 55.5 51.9 50.4 49.5 50.3 49.9 48.9 53.5 5.3 5.1 LHV 9.9 121.2 11.6 10.1 32.8 50.0 58.4 47.8 83.6 46.4 45.8 47.2 48.2 45.8 48.3 4.4 4.2 108 54.1 51.4 78.8 34.6 4.3 4.0
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