Geoscience Reference
In-Depth Information
Salvage value = 0
Interest rate (
i
) = 8%
Lifetime of baghouse (
m
) = 15 yr
m
i
(
+
+−
1
i
)
(
)
Annualinstalled capital cost (AICC)
=
Instal
led capital cost
m
(
1
i
)
1
Solution:
Determine the annual maintenance cost by first calculating the number of bags (
N
):
N
=
Q
/(Air-to-cloth ratio ×
A
)
where
Q
= Total exhaust volumetric flow rate.
A
= Surface area of a bag.
N
=
Q
/(Air-to-cloth ratio ×
A
) = (70,000)/(5.81 × 12) = 1004 bags
Calculate the annual maintenance cost in dollars per year:
Cost of replacing 25% of bags each year
=
0.2
5
×
1004
×
75.00
=
$18,825
Annualmaintenance cos
t
=
$5000
+
$
18,825
=
$23,825/yr
Determine the annualized installed capital cost (AICC) by first calculating the installed capital cost
in dollars:
Installed capital cost = (
Q
)($2.536/acfm) = 70,000 × 2.536 = $177,520
Calculate the AICC using the equation given above:
m
i
(
+
+−
1
i
)
=
(
)
AICC
Installed capitalcost
m
(
1
i
)
1
15
0081 008
1008
.(
+
.)
=
(
177 520
,
)
15
(
+
.
)
−
1
= $20,740/yr
Calculate the operating cost in dollars per year:
Operating cost =
Q
∆
p
(Operating time)(0.03/kWh/E)
Because 1 ft-lb/s = 0.0013558 kW,
Operating cost = [(70,000/60)(17.16)(6240)(0.03)(0.0012558)]/0.6 = $8470/yr
Calculate the total annualized cost in dollars per year:
Total annualized cost = (Maintenance cost) + AICC + (Operating cost)
= 23,825 + 20,740 + 8470 = $53,035/yr
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