Who, What, Where
Authored by Michael Foy
Design Engineer
Philipp Klaschka
Team Leader Air Services,
Festo Corp.
Hauppauge, N.Y.
Edited by Kenneth J. Korane ken.korane@penton.com
Key points
- Calculate flow capacity to prevent
oversized valves.
- Using different pressures to extend
and retract cylinders saves energy.
- Leaks make even the best designs
subpar performers.
Resources
Festo Corp., festo.com
Monitoring pneumatics,
tinyurl.com/5hxncl
Preventing leaks, tinyurl.com/6y22cn
|
In today’s manufacturing environments, pneumatics often
provides ideals solutions for motion-control applications.
Pneumatic systems are well suited for applications
involving linear or rotary speeds of 4 m/sec (13 ft/sec) with
forces up to 20 kN (4,500 lb). Linear actuators can come in
stroke lengths as large as 10 m (33 ft) and, when coupled
with a closed-loop system with a servocontroller and proportional
valve, they can provide multiple speed, force,
and positioning capabilities.
With the advent of fieldbus networking, pneumatic
components can be simply attached to a system with less
wiring and with the added capability to create centralized
or decentralized valve systems.
Given the role pneumatic systems play in many industries,
the question then becomes: How can manufacturing
companies optimize performance and reduce energy costs associated with compressed air? The following are some
important factors to consider.
Sizing valves
Sizing an air cylinder for an application is usually a
straightforward process. Knowing the force and stroke
requirements, and the available air pressure, engineers can
readily calculate the minimum piston diameter to get the
job done. When sizing a cylinder, a good rule of thumb is
to initially make it large enough to provide approximately
twice the calculated required force to overcome internal
friction, guide friction, and other external forces.
Selecting and sizing pneumatic valves for a circuit is
a bit more involved. Initial selection criteria include the
type of valve and the operations it must perform; how it’s
turned on and off; and whether it’s a stand-alone unit or
mounted on a manifold. Beyond these basic criteria, however,
flow capacity is arguably one of the most important
factors. Oversized valves often lead to bigger-than-necessary
connectors, tubing, and actuators, which increase the
cost of components as well as the energy costs of electricity
and compressed air while undersized valves hurt system
performance.
Flow capacity indicates the amount of resistance a valve
presents to a pneumatic circuit, and is typically measured
as volume coefficient (Cv) or in liters per minute. All devices
that conduct air resist flow to some degree, and pressure
drop across a device will increase with flow.
In the past, common practice was to match the port
size of the valve with the port size of the actuators. Experts
no longer recommend this method because today’s valves
are smaller yet have greater flow capacity than their counterparts
of a few years ago. Smaller valves tend to switch
quicker, cost less, and consume less power.
Thus, the first step in selecting a valve means calculating
the flow required to move an actuator within an allotted
time. The following equation lets you calculate the
flow coefficient required for the valve. For U.S. units, flow rate is defined as:
Q = VCf/(28.8t)
and for SI units,
Q = VCf/t.
The compression factor Cf is defined as
Cf = (P1 + Pa)/Pa.
Then determine the required Cv. For U.S. units,
Cv =
Q
22.48
TG
!P P2 + Pa ( )
For SI units,
Cv =
Q
114.5
TG
!P P2 + Pa ( )
As an example, consider a double-acting cylinder with a
25-mm bore and 100-mm stroke. Rod diameter is 10 mm,
air pressure is 6 bar, and pressure drop across the valve is
0.25 bar. The application requires the cylinder to extend in
0.25 sec and return in 0.2 sec.
The goal is to determine the necessary valve Cv. First
calculate areas and volumes on the extend side of the
cylinder.
Ae = (d/2)2 = 490.87 mm2
Ve = AeL = 49,087 mm3 = 0.049 liters
Areas and volumes on the retract side are:
Ar = ((d/2)2 (dr/2)2) = 412.33 mm2
Vr = ArL = 41,233 mm3 = 0.041 liters
Second, calculate the compression factor,
Cf = (6 + 1)/1 = 7.
Third, calculate the flow rate required to extend and retract
the cylinder.
Qe = (VeCf)/te = 1.372 liters/sec
Qr = (VrCf)/tr = 1.439 liters/sec.
Finally, calculate the Cv necessary to extend
and retract the cylinder.
For this example, the valve must have at least a
Cv = 0.158 for the extend stroke and Cv = 0.166 to retract
within the system’s time requirements. A valve with the
exact specific flows for both extend and retract most likely
does not exist, so select a valve with a larger Cv. One with a
Cv = 0.200 should suffice. A slightly larger valve also takes
into account restrictions caused by fittings and tubing
which can affect reaction time.
Note that any device, fitting, or run of tubing can affect
the system flow rate. In time-critical applications, a few extra
inches of tubing or the wrong fitting can mean the difference
between a circuit that works and one that does not. For this reason, valve ratings alone cannot predict flow
rates through a system branch.
Regulating pressure
The pneumatic energy used to perform a task is a function
of pressure and volume. In typical pneumatic systems,
volume equals cylinder volume plus the volume of
the pipe between the valve and cylinder. These volumes
are typically pressurized and emptied each time a cylinder
extends or retracts. The combined cylinder and pipe
volumes should ideally only be charged to the pressure
required to successfully stroke the cylinder. Exceeding this
pressure wastes energy, and it is easy to both calculate the
correct pressure and reduce overpressure.
NOMENCLATURE
d = Cylinder diameter, mm or in.
dr = Rod diameter, mm or in.
G = Specific gravity (1.0 for air)
L = Stroke, mm or in.
Pa
= Atmospheric pressure, 14.7 psi or 1 bar
P1 = Inlet pressure, psi or bar
P2 = Outlet pressure, psi or bar
Q = Flow rate, ft3/min or liter/sec
T = Temperature, Rankine or Kelvin
t = Time, sec
te = Cylinder extend time, sec
tr = Cylinder retract time, sec
V = Volume, in.3 or liter
P = Pressure drop across valve, psi or bar |
In many applications there is a significant difference
between the cylinder force needed to extend (push a load)
versus retract (pull a load). It does not matter which force
is larger; the point is, there is usually a big difference between
the two. The vast majority of pneumatic controls,
however, apply the same pressure for both extend and retract
strokes. In addition to wasting energy, charging a cylinder
to a higher-than-necessary pressure increases noise, vibration, and leakage and, therefore, lowers mean time
between failure (MTBF). Higher pressures also reduce
cylinder speed, because the cylinder wastes time charging
beyond the level required, and it takes longer to empty the
chamber. And overpressurizing magnifies internal and
external leaks.
To illustrate the problem, let’s estimate how much energy
used to compress air is wasted by pressurizing cylinders
beyond the levels necessary to stroke a cylinder. Assume
that the cylinder is sized correctly for the push load,
but only half the pressure is needed to retract the cylinder.
With a 2:1 ratio of loaded versus unloaded cylinder stroke,
about 20% of total energy is wasted if the cylinder operates
at the same pressure for push/pull loads.
In the cylinder in the above example, reducing pressure
on the return stroke from 6 to 3 bar would reduce compressed-
air consumption on the return stroke by nearly
half. For a setup operating on an 8-hr shift year round,
resulting savings could be well over $100/yr for a single
cylinder, paying for a regulator in a matter of months.
Many practical, low-cost components can control individual
cylinder pressure and help eliminate energy waste.
On subbase-mounted valves, for example, sandwich pressure
regulators independently control a cylinder’s load and
nonload pressure.
Elbow pressure regulators provide another easy and
low-cost solution. These compact devices look like elbow
flow-control valves, but they control pressure. The regulators
have a built-in check valve for reverse flow and a dial
to indicate pressure settings.
Minimizing volume
The development of decentralized fieldbuses for pneumatic-
valve manifolds lets designers reduce the distance
between valve and cylinders. This reduces pipe volume.
In fact, from an efficiency standpoint, the ideal place to
mount a valve is directly on the cylinder and completely
eliminate the piping.
Reducing pipe volume between the valve and cylinder
saves energy even if pipe volume increases between the
compressor and valve manifold. That is because the volume
between valve and cylinder pressurizes and empties
every cycle, whereas the volume between the compressor and manifold rarely empties.
Some bus protocols, such as AS-Interface, permit a
simple, low-cost serial link to a single valve. This lets designers
mount valves on the cylinder, considerably reducing
air consumption.
System considerations
Smaller cylinders and valves require less space, save
money, and consume less air. But keep in mind that valves
and cylinders are only one part of a complete system
every component that potentially causes a flow restriction
or delay must be considered as part of the overall design.
Here are some additional factors to consider.
Cylinder and valve ports can restrict airflow due to the
fitting’s internal orifices. Flow controls can restrict airflow
even in their full-open position. And 90° fittings cause
pressure drops and add delays.
Make air lines between the valve and cylinder as straight
as possible with minimal bends. And keep in mind air
lines have different flow characteristics depending on
whether they are rigid pipe or flexible tubing. Each application
has an optimum air-line ID. Increasing the air-line
diameter increases Cv but also increases the volume that
must be filled and emptied each cycle.
For actuators, select cylinder bore sizes to handle the
expected load plus a reasonable safety factor. Larger-thannecessary
cylinders cost more, waste energy, and add cycle
time. Likewise, cylinder stroke should be no more than
required. Longer-stroke cylinders are also more expensive,
waste energy, and add cycle time.
In general, components with the smallest Cvs and largest
pressure drops limit circuit performance the most. Increase
these Cvs first to have the greatest impact on circuit
performance. Similarly, components with the largest Cvs
and smallest pressure drops are possibly oversized. Decreasing
these Cvs could improve circuit performance.