|
Improving
Air
System
Efficiency
by: R. Scot Foss, Plant Air
Technology
Part 4: Dealing with pressure drop and
correctly sizing the piping system.
When sizing pipe for
a compressed air system, keep in mind that without resistance to flow,
there is no flow. Some pressure drop or some mass flow resistance is
necessary. The amount of pressure drop only needs to be hundredths of a
psig for the system to work, but it can be very high - and, therefore,
inefficient - if you size the pipe incorrectly for the required flow and
pressure. Both the energy efficiency and cost of the system are function
of your decisions.
As the pressure
differential increases in the system, more energy will be needed to
support the same results. Compressor manufacturers usually define this
energy requirement as 0.5% of the total connected brake horsepower for
each psig of elevated pressure. This relationship is theoretical and
highly unlikely to occur in the real world. If the system is balanced
and all operating stations are regulated below the lowest supply
pressure, it may be true. If the demand were 100% controlled and raising
the pressure changed nothing (including isothermal efficiency), the
adjustment of supply pressure would equate to 0.5% of the total
connected on-board energy per psig of elevation. This generalization
assumes compressors are operating at approximately 100 psig. (In over
800 systems audits my company has performed, only two systems were
balanced and neither owner/operator knew what they had done to
accomplish this.)
The 0.5% theory also
assumes that the supply mass produced or pounds of gas are not effected
by changes in pressure. In all cases, the change in operating pressure
adjustment will have some influence on mass. Sometimes it can be
favorable, depending on the type of compressors and the design pressure
relative to the operating pressure.
In the more likely
event that a portion of the total use volume is unregulated or has
regulators wide open (this includes leaks), then the elevation of
pressure will increase the demand volume proportionately - with a
correction for the specific density of the gas at operating pressure. In
an unregulated system at 100 psig, if the pressure is increased by 10
psig, the volume and supply energy to support it will increase by 10.75%
plus 5% for increasing the supply pressure - a total energy increase of
15.75%. If half of the total system's volume was unregulated, the
increase in energy would be 10.375%. If the elevation of pressure is
achieved by adding a compressor, and the existing compressors run at
part load as a result, the increase in onboard energy could be as high
as 50%.
Differential
pressure in the system changes as a square function of flow. We have X
volume of air flowing through a 2-in. pipe in the header system with a
resulting 2 psid pressure drop. Doubling the flow (2X) increases the
differential pressure four times, to 8 psid. So, if a new actuator is
added downstream (which would require double the flow through the pipe),
the system's pressure at the supply would have to be increased by 8 psig
in order to maintain the same resulting pressure at the point of use.
Pressure in the
system is a function of volume. To elevate the system's pressure, the
volumetric input from the compressors must be increased. This will cause
an exponential increase in the differential across the drying and
filtering equipment and increase the velocity. That will increase the
latent heat load on the clean-up equipment and reduce the contact time
for drying. The elevated pressure will increase the volume of all users
in the system that are not regulated, including leaks. The impact across
the entire system may require an 11-12 psig compressor pressure increase
to net the same pressure at the point of use. When the system pressure
is increased, the dewpoint will rise, resulting in additional water
contaminant. Since most compressors have a 10-15 psig operating range, a
10 psig increase in supply may require another compressor. Depending
upon the size and the part-load efficiency of the unit, the operating
cost of the system may increase 25% to accommodate a 50 cfm application.
Measuring the differential and evaluating the impact of the user on the
piping could result in applying a $50,000 solution to a $100 problem.
Sizing
the Piping System:
A major error in
systems sizing which has been present in the past is how to determine
flow requirements. We have been taught to apply use factors to using
equipment to determine the system requirement. This can also be referred
to as diversity. Here we apply a percentage of time the equipment is in
use. This is also referred to as a use factor. As an example, a
pneumatic hand tool which consumes or flows 30 scfm at 90 psig
continuously and is used no more than 30% of the time is considered to
have an average consumption of 9 scfm at 90 psig. For determining
average load on the compressors, this is reasonable. It is not
reasonable for sizing the components that transmit air to the inlet of
the tool. Even though the tool may only consume 9 cf in a cycle once per
minute, it consumes it at 30 scfm during that fraction of a minute it is
in use.
Sizing must be done
based on rate of flow, not average flow. If you sized the particular
drop for the diversity factor, you would have a high pressure drop which
is common in most applications. It is not unusual to see 10 to 20 psig
at the point-of-use. As we expand this problem, the probability of
several tools being used at the same time increases as the cycle
durations shortens. All of the users will flow at their rate of flow in
scfm, which will cause a high momentary pressure differential. If you
operate the system based on minimum allowable pressure, operators will
complain of the low pressure in their part of the piping arrangement
and, consequently, the system's pressure will be raised to compensate.
The closer you get to the users, the greater effect this problem will
have on low pressure.
Other
Sizing Issues:

Fast-acting valves,
such as pulse valves on dust collectors, are often misapplied. The
typical pulse time is 0.1 or 0.2 sec. If the valve discharges 1 scf of
air in 0.1 sec, the rate of flow would be 600 scfm. Some manufacturers
insist that if this happens 10 times per minute at 1 scf per cycle, the
valve is using 10 scfm.
Another element of
this particular sizing problem is the pressure. Most OEMs provide the
initial pressure that they want as the pressure requirement. There are
two issues here. One is: where are they specifying the pressure? Is it
at the inlet to the tool or valve or is it at the inlet to the
filter/regulator upstream of hose, disconnects, and fittings? In most
cases, it is the latter. If the manufacturer assumes a 15 to 20 psig
pressure loss through those components, the system may be operating at
an unreasonably high pressure and cost. The second issue is that sizing
is not based on initial pressure, but article pressure (the lowest
pressure at the using equipment's final fitting).
When averaging in
evaluating the cumulative demand, a process flow diagram should be used.
List the air-using equipment in flow per minute. Use factors are applied
and the percentage established is moved to the right hand column. Then,
the factored volumes are added up, regardless of pressure - this is
called the demand. The total factored volume is then expressed at the
highest single use pressure of all components. The supply compressors
are sized on this basis. All of the system components are then sized
based on the rate of flow of the compressors, including dryers, filters,
and piping. A receiver or receivers are also included in the components
selected. Storage tanks and piping will increase the rate of flow based
on their cf per psi capacitance and how much the designer plans on
allowing the pressure to fluctuate.
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Table 1 -
Calculating Pressure Drop in Compressed
Air Piping Systems (scfm vs. nominal pipe diameter) |
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SCFM Flow Rate |
1/2 In. |
3/4 In. |
1 In. |
1-1/4 In. |
1-1/2 In. |
2 In. |
2-1/2 In. |
3 In. |
4 In. |
5 In. |
6 In. |
8 In. |
10 In. |
12 In. |
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10 |
50.7 |
7.8 |
2.2 |
0.5 |
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20 |
202 |
30.4 |
8.7 |
2 |
0.9 |
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30 |
456 |
70.4 |
19.6 |
4.5 |
2 |
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40 |
811 |
126.3 |
34.8 |
8.1 |
3.6 |
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50 |
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196 |
54.4 |
12.6 |
5.6 |
1.4 |
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60 |
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282 |
78.3 |
18.2 |
8 |
2.2 |
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80 |
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503 |
139.2 |
32.3 |
14.3 |
3.8 |
1.5 |
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100 |
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785 |
217.4 |
50.5 |
22.3 |
6 |
2.3 |
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120 |
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318 |
72.7 |
32.2 |
8.6 |
3.3 |
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140 |
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426 |
96.9 |
43.8 |
11.7 |
4.6 |
1.4 |
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160 |
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570 |
129.3 |
57.2 |
15.3 |
5.9 |
1.9 |
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180 |
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705 |
163.5 |
72.6 |
19.4 |
7.5 |
2.4 |
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200 |
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870 |
202 |
89.4 |
23.9 |
9.3 |
2.9 |
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240 |
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291 |
128.7 |
34.4 |
13.4 |
4.2 |
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280 |
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395 |
175 |
46.8 |
18.2 |
5.7 |
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320 |
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61.1 |
23.8 |
7.5 |
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360 |
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77.3 |
40.1 |
9.5 |
2.2 |
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400 |
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94.7 |
37.1 |
11.7 |
2.7 |
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440 |
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115.5 |
44.9 |
14.1 |
3.4 |
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480 |
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137.6 |
53.4 |
16.8 |
4 |
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500 |
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150 |
58 |
18.3 |
4.3 |
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550 |
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181.5 |
70.2 |
22.1 |
5.2 |
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600 |
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215 |
83.5 |
26.3 |
6.2 |
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650 |
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253 |
96 |
30.9 |
7.3 |
2.2 |
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700 |
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294 |
113.7 |
35.8 |
8.5 |
2.4 |
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800 |
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382 |
148.4 |
46.7 |
11.1 |
2.9 |
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900 |
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468 |
188 |
59.1 |
14 |
4.2 |
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1000 |
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600 |
232 |
73 |
17.3 |
5.2 |
2.2 |
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1100 |
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723 |
280.6 |
88.4 |
21 |
6.3 |
2.6 |
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1200 |
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850 |
344 |
105.2 |
25 |
7.5 |
2.8 |
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1400 |
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33.9 |
10.2 |
3.8 |
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1600 |
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44.3 |
13.4 |
5.1 |
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1800 |
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56.1 |
16.9 |
6.4 |
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2000 |
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69.3 |
20.9 |
7.8 |
1.8 |
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2200 |
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83.6 |
25.3 |
9.5 |
2.2 |
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2400 |
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99.8 |
30.1 |
11.3 |
2.6 |
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2600 |
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117.2 |
35.3 |
13.3 |
3.1 |
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2800 |
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136 |
41 |
15.4 |
3.6 |
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3000 |
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156 |
47 |
17.7 |
4.1 |
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3400 |
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200 |
60.4 |
22.7 |
5.3 |
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3800 |
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250 |
75.5 |
28.4 |
6.6 |
2 |
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4000 |
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277 |
83.6 |
31.4 |
7.3 |
2.2 |
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4400 |
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335 |
101.2 |
38.1 |
8.9 |
2.7 |
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4800 |
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399 |
120.4 |
45.2 |
10.5 |
3.2 |
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5000 |
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433 |
131 |
49.1 |
11.5 |
3.4 |
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5500 |
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524 |
158 |
59.4 |
13.9 |
4.2 |
1.6 |
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6000 |
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188 |
70.7 |
16.5 |
5 |
1.9 |
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7000 |
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256 |
96.2 |
22.5 |
6.8 |
2.6 |
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8000 |
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335 |
125.7 |
29.4 |
8.8 |
3.6 |
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10000 |
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523 |
196 |
45.9 |
13.8 |
5.4 |
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12000 |
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282 |
66.1 |
19.8 |
7.7 |
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14000 |
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|
387 |
89.9 |
27 |
10.5 |
|
16000 |
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|
503 |
117.7 |
35.3 |
13.7 |
|
20000 |
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184 |
55 |
21.4 |
|
24000 |
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264 |
70.3 |
30.1 |
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28000 |
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360 |
108 |
42.1 |
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30000 |
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413 |
123.9 |
48.2 |
The highest rate of
flow of the system from both the supply and demand perspectives must be
carefully determined, in order to achieve the desired pressures at the
point of use with the lowest energy needed at the supply end of the
system.
Let's say the
compressors are capable of 1000 cfm at 110 psig. The total system
capacitance for piping and tanks is 45 cf per psi. If the pressure is
allowed to fluctuate 10 psig, the downstream components would have to be
sized for:
1000 cfm + (45 cf/psi
x 10 psi) = 1450 cfm. Thus, 1450 cfm is the highest supply rate of flow.
The calculations should be done progressively from the individual
compressors out, in a process flow format, tracking rate of flow and
pressure.
Reprinted
with permission from R. Scot Foss, president of Plant Air Technology,
Charlotte, N.C., a company specializing in system auditing and design. This
article is based on his book, "Compressed Air System Solution."
A
portion of the proceeds from sales of the book is donated to children’s
charities. To order a
copy of the book, please
contact Southern Corporation. |