Parameter
|
Triphosphor Tube
|
LED Tube
|
Colour
|
Cool White
|
Cool White
|
Actual Colour Temp. (K)
|
4000
|
4000
|
Average Life (hours)
|
20000
|
50000
|
Tube Diameter (cm)
|
26
|
26
|
Tube Length (mm)
|
1200
|
1200
|
Light Output (lumens)
|
1350
|
1600
|
Wattage (W)
|
36
|
10.5
|
Tube Cost
|
$ 4.75
|
$ 12.50
|
Starter Cost
|
$ 1.25
|
$ 1.50
|
Step: 2: Using
the above information hardware cost will be calculated as the installation cost
includes both hardware cost and contractor cost. The hardware cost includes
tube cost and starter cost per unit of LED lights. See the following table for
the hardware cost of LED lights.
Hardware Cost
|
|
|
|
Type
|
Tube Cost
|
Starter Cost
|
Units
|
Total Hardware Cost
|
LED Tube
|
$ 12.50
|
$ 1.50
|
1
|
$ 14.00
|
LED Tube
|
$ 12.50
|
$ 1.50
|
400
|
$ 5,600.00
|
Step: 3: Contractor
Cost calculation is the next step to calculate total installation cost. The
contractor cost will be calculated by using labour cost per hour and fixed call
fee of labour. See the following table for contractor cost:
Contractor Cost
|
|
|
|
Units
|
Time (min)
|
Cost/hr
|
Fixed Call Fee
|
Total Contractor Cost
|
1
|
10
|
$ 12.00
|
$ 400.00
|
$ 402.00
|
400
|
10
|
$ 12.00
|
$ 400.00
|
$ 1,200.00
|
Step: 4: Now
by adding up all contract cost and hardware cost the following installation
cost is calculated for LED lights.
Total Installation Cost
|
|
Units
|
Total Hardware Cost
|
Total Contractor Cost
|
Total Installation Cost
|
1
|
$ 14.00
|
$ 402.00
|
$ 416.00
|
400
|
$ 5,600.00
|
$ 1,200.00
|
$ 6,800.00
|
i)
Annual Maintenance and
Replacement Cost for Option A and Option B
Option A is the use of Triphosphor
Tubes. While option B is related to the use of LED Tubes. The stated below
basic assumptions are used for the calculation of maintenance cost and
replacement cost for each option:
·
Lamps fail at a
uniform rate based on total hours of lamp operation in the warehouse and lamp
lifetimes.
·
Each lamp replacement
takes 10 minutes
·
All labour costs
$12/hour.
The following table represents the
maintenance cost and replacement cost for both options.
Maintenance Cost
|
|
|
|
|
|
|
Type
|
Cleaning Session
|
Per Unit Time (min)
|
Units
|
Labor Cost /hr
|
Total Maintenance Cost
|
|
Triphosphor Tube
|
Annual
|
5
|
400
|
$ 12.00
|
$ 400.00
|
|
LED Tube
|
Annual
|
5
|
400
|
$ 12.00
|
$ 400.00
|
|
Replacement Cost
|
|
|
|
|
|
|
Type
|
Average Life (hrs)
|
Usage (hrs)
|
Per Unit Time (min)
|
Units
|
Labor Cost /hr
|
Total Replacement Cost
|
Triphosphor Tube
|
20000
|
4896
|
10
|
150
|
$ 12.00
|
300
|
LED Tube
|
50000
|
4896
|
10
|
100
|
$ 12.00
|
200
|
ii)
Annual Energy Cost for
Lighting System
In this question, the annual energy
cost for the lighting system and AC are calculated. The following assumptions
are set for energy cost calculation.
·
Air Conditioning
Operates for 10 months at COP 2.8
·
Average Cost of kwh is
$28.5
·
If AC is 3500 watt
then watt after COP calculation would be 9800
·
Triphosphor Tube works
on 36 watt
·
The LED tube requires
10.5 watts for lighting
Step 1: The
following table represents the kW calculation for all lights and AC energy consumption.
Step: 1 kW Calculation
|
Triphosphor
|
LED
|
AC
|
Watt
|
36
|
10.5
|
3500
|
COP
|
|
|
2.8
|
Conversion
|
1000
|
1000
|
1000
|
kW
|
0.036
|
0.0105
|
9.8
|
Step: 2:
Now the next step is to calculate hours of energy consumption for lights and
AC.
Step: 2 Hours Calculation
|
Triphosphor
|
LED
|
AC
|
Working Hours Per Day
|
16
|
16
|
16
|
Working Days
|
6
|
6
|
6
|
Number of Weeks Per month
|
4
|
4
|
4
|
Number of Months in a Year
|
12
|
12
|
10
|
Total Hours
|
4896
|
4896
|
3840
|
Step: 3: Now using all
the above-stated calculations and assumptions the annual energy cost for
lighting and AC is calculated in the following table.
Type
|
kW
|
Hours
|
KWh
|
Cost (cents/kWh)
|
Total Cost (cents)
|
Triphosphor
|
0.036
|
4896
|
176.256
|
28.5
|
5023.296
|
LED
|
0.0105
|
4896
|
51.408
|
28.5
|
1465.128
|
AC
|
9.8
|
3840
|
37632
|
28.5
|
1072512
|
iii)
Net Present Cost
The net present cost of option A and
option B is calculated by using the discount rate of 10% over the next 15
years. The total cost used in the analysis for each option is the sum of total
energy consumption cost (option A or option B) and AC energy consumption. See
the following table for both options.
Option A
|
Year
|
Cost
|
Discount Rate (10%)
|
Net Present Cost
|
1
|
1077535
|
0.91
|
979577.54
|
2
|
1077535
|
0.83
|
890525.04
|
3
|
1077535
|
0.75
|
809568.22
|
4
|
1077535
|
0.68
|
735971.11
|
5
|
1077535
|
0.62
|
669064.64
|
6
|
1077535
|
0.56
|
608240.58
|
7
|
1077535
|
0.51
|
552945.98
|
8
|
1077535
|
0.47
|
502678.17
|
9
|
1077535
|
0.42
|
456980.15
|
10
|
1077535
|
0.39
|
415436.50
|
11
|
1077535
|
0.35
|
377669.55
|
12
|
1077535
|
0.32
|
343335.95
|
13
|
1077535
|
0.29
|
312123.59
|
14
|
1077535
|
0.26
|
283748.72
|
15
|
1077535
|
0.24
|
257953.38
|
The following table is developed for
option B.
Option B
|
Year
|
Cost
|
Discount Rate (10%)
|
Net Present Cost
|
1
|
1073977
|
0.91
|
976342.84
|
2
|
1073977
|
0.83
|
887584.40
|
3
|
1073977
|
0.75
|
806894.91
|
4
|
1073977
|
0.68
|
733540.83
|
5
|
1073977
|
0.62
|
666855.30
|
6
|
1073977
|
0.56
|
606232.09
|
7
|
1073977
|
0.51
|
551120.08
|
8
|
1073977
|
0.47
|
501018.26
|
9
|
1073977
|
0.42
|
455471.14
|
10
|
1073977
|
0.39
|
414064.67
|
11
|
1073977
|
0.35
|
376422.43
|
12
|
1073977
|
0.32
|
342202.21
|
13
|
1073977
|
0.29
|
311092.92
|
14
|
1073977
|
0.26
|
282811.74
|
15
|
1073977
|
0.24
|
257101.59
|
Thus analysis represents that net
present cost for option A is greater than option B. The option B is more
cost-efficient therefore the company should give preference to the use of LED
lights rather than using Triphosphor tubes in their workplaces. Thus the recommended option is Option B. the
following are assumptions for this analysis:
·
The discount rate is
10% annual
·
Each option is for 15
years period
·
AC will work 10 months
only
·
Lighting will operate
51 weeks a year and 16 hours daily.
Question:
2
1. Heat
balance table: The missing values of heat balance
table can be calculated by measuring the energy in input fuel. See the stated
below table for this.
Energy In Input Fuel
|
MJ/m3
|
Energy
|
39
|
loss
|
2%
|
Wasted Energy
|
0.78
|
Total Energy In Input Fuel
|
39.78
|
Based on the above table the missing
value of heat balance table is calculated.
Item
|
Energy, MJ/shift
|
The energy in Input Fuel
|
39.78
|
Breakdown of energy ows:
|
|
Energy into charge
|
1219
|
Door losses
|
452
|
Structural losses
|
550
|
Light up losses
|
508
|
Flue exhaust losses
|
3.2564
|
Unaccounted losses
|
0.78
|
TOTAL:
|
2733.0364
|
2. Sankey Energy Diagram: The following diagram is
developed for the aluminum heating furnace.
3.
Heat
recovery system
Energy
extracted is about 45%
To find,
reduction in natural gas consumption per shift
What is the
efficiency of furnace?
According to the information, the reduction of natural
gas each shift is about 162.82.
Due to this it will become only 0.12% loss due to
natural gas.
The efficiency of furnace will become
Energy extracted will become
4. Preheating process
Given
data
The flow rate of the inlet combustion air
is about 0.51 kg/s
Inlet temperature =30 degree centigrade
Specific heat of the air =1.07
To
find: Average amount of heat transferred to inlet combustion
Average temperature of the air leaving the
heat recovery unit
Solution:
The heat transfer can be calculated through this
Average
temperature of the air
The average temperature of the air in the
heat recovery unit will be same
Question 3
Part
1: Hot boiler blowdown fluid temperature =
148.9
Flow rate =15
The boiler feedwater enters the heat
exchanger with temperature =25.6
Flow rate = 13.9
The temperature of boiler increased by
9.4 and move towards heat exchanger
Specific heat of water in boiler
feedwater is about 4.179
Specific heat of water in blowdown fluid=
4.32
To
find
The temperature of blowdown fluid
Solution
The temperature leaves the heat exchanger
Putting values
Part
2: Rate of energy gain
Efficiency of natural gas =88%
Rate of energy gain
The rate of energy gain will be decrease
due to efficiency of natural gas
Annual energy saving
Annual energy saving will be about 5781.6
Part
3
Gas cost =2.50