Module 3
Module 3
• In most control systems we can not avoid the presence of certain types
of nonlinearities in control system.
These can be classified as static or dynamic.
• A system for which there is a nonlinear relationship between input and
output, that does not involve a differential equation is called a static
non linearity.
• On the other hand, the input and output may be related through a non
linear differential equation. Such a system is called a dynamic non
linearity.
1
NONLINEARITIES IN CONTROL SYSTEM
BACKLASH
2
NONLINEARITIES IN CONTROL SYSTEM
BACKLASH
• An example, in the context of gears and gear trains, is the amount of
clearance between mated gear teeth. It can be seen when the
direction of movement is reversed and the slack or lost motion is
taken up before the reversal of motion is complete.
3
NONLINEARITIES IN CONTROL SYSTEM
BACKLASH
4
NONLINEARITIES IN CONTROL SYSTEM
FRICTION
• Anything which opposes the relative motion of the body is called
friction. It is a kind of non linearity present in the system. The
common example in an electric motor in which we find coulomb
friction drag due to the rubbing contact between the brushes and the
commutator.
5
NONLINEARITIES IN CONTROL SYSTEM
FRICTION
Friction may be of three types:
• Static Friction : The static friction acts on the body when the body is
at rest.
• Dynamic Friction: Dynamic friction acts on the body when there is a
relative motion between the surface and the body.
• Limiting Friction: It is defined as the maximum value of friction that
acts on the body when it is at rest.
6
NONLINEARITIES IN CONTROL SYSTEM
FRICTION
Dynamic friction can also be classified as
(a) Sliding friction
(b) Rolling friction.
• Sliding friction acts when two bodies slides over each other while
rolling acts when the bodies rolls over another body.
In mechanical system we have two types of friction namely
(a) Viscous friction
(b) Static friction.
7
NONLINEARITIES IN CONTROL SYSTEM
DEAD BAND
• This type of non linearity is shown by various electrical devices like
motors, DC servo motors, actuators etc.
• Dead zone nonlinearities refer to a condition in which output
becomes zero when the input crosses certain limiting value.
8
NONLINEARITIES IN CONTROL SYSTEM
HYSTERESIS
• Hysteresis is a common phenomenon in physical systems and occurs when the
system's output depends not only on its present inputs but also on past inputs
(history).
• Types of Hysteresis
1. Systems with rate-dependent hysteresis have a memory of recent inputs that
fades with time - if the input stops changing and we wait long enough, the output
will (eventually) reach the same value for that particular input.
2. Systems with rate-independent hysteresis retain a permanent memory of certain
input patterns and even the steady state value of the output depends on the nature
of the input history.
9
NONLINEARITIES IN CONTROL SYSTEM
HYSTERESIS
10
NONLINEARITIES IN CONTROL SYSTEM
HYSTERESIS
11
NONLINEARITIES IN CONTROL SYSTEM
HYSTERESIS
• Hysteresis is expressed as the percent difference in the rated current
required to give the same output when approached from higher and
lower inputs.
12
HYDRAULIC CIRCUITS
•
13
Control of a
Single-Acting
Hydraulic
Cylinder
14
HYDRAULIC CIRCUITS
Control of a Single-Acting Hydraulic Cylinder
• Figure shows that the control of a single-acting, spring return
cylinder using a three-way two-position manually actuated, spring
offset direction-control valve (DCV).
• In the spring offset mode, full pump flow goes to the tank through
the pressure-relief valve (PRV).
• The spring in the rod end of the cylinder retracts the piston as the oil
from the blank end drains back into the tank.
• When the valve is manually actuated into its next position, pump
flow extends the cylinder. After full extension, pump flow goes
through the relief valve.
15
Control of a
Double-Acting
Hydraulic
Cylinder
16
HYDRAULIC CIRCUITS
Control of a Double-Acting Hydraulic Cylinder
• The control of a double-acting hydraulic cylinder is described as
follows:
2. When the 4/3 valve is actuated into the flow path, the cylinder is
extended against its load as oil flows from port P through port A. Oil
in the rod end of the cylinder is free to flow back to the tank through
the four-way valve from port B through port T.
17
HYDRAULIC CIRCUITS
Control of a Double-Acting Hydraulic Cylinder
3. When the 4/3 valve is actuated into the right-envelope
configuration, the cylinder retracts as oil flows from port P through
port B. Oil in the blank end is returned to the tank via the flow path
from port A to port T.
• At the ends of the stroke, there is no system demand for oil. Thus,
the pump flow goes through the relief valve at its pressure level
setting unless the four-way valve is deactivated.
18
Regenerative
cylinder circuit
19
HYDRAULIC CIRCUITS
Regenerative Cylinder Circuit
• A regenerative circuit is used to speed up the extending speed of a
double-acting cylinder.
• When the DCV is shifted in to its left-mode, the oil flows from the
pump to the blind end of the cylinder and hence cylinder extends.
20
HYDRAULIC CIRCUITS
Regenerative Cylinder Circuit
• During retraction stroke, the 4/3 valve is configured to the right
mode. During this stroke, the pump flow bypasses the DCV and
enters the rod end of the cylinder.
• Oil from the blank end then drains back to the tank through the DCV.
21
HYDRAULIC CIRCUITS
Regenerative Cylinder Circuit
Expression for the Cylinder Extending Speed
22
HYDRAULIC CIRCUITS
Regenerative Cylinder Circuit
Expression for the Cylinder Extending Speed
• In general, the greater the ratio of the piston area to rod area, the greater is
the ratio of the extending speed to retraction speed
23
HYDRAULIC CIRCUITS
Regenerative Cylinder Circuit
Load-Carrying Capacity During Extension
• These cylinders must be synchronized. There are two ways that can
be used to synchronize cylinders: Parallel and series
25
HYDRAULIC CIRCUITS
Cylinder Synchronization Circuits
Cylinders in Parallel
• When the two cylinders are identical, the loads on the cylinders are
identical, and then extension and retraction are synchronized.
• If the loads are not identical, the cylinder with smaller load extends
first. Thus, the two cylinders are not synchronized.
26
Cylinder
Synchronization
Circuits
(Cylinders in
Parallel)
27
HYDRAULIC CIRCUITS
Cylinder Synchronization Circuits
Cylinders in Series
• As cylinder 1 extends, fluid from its rod end is delivered to the blank
end of cylinder 2 causing the extension of cylinder 2.
• As cylinder 2 extends, fluid from its rod end reaches the tank. For
two cylinders to be synchronized, the piston area of cylinder 2 must
be equal to the difference between the areas of piston and rod for
cylinder 1.
28
Cylinder
Synchronization
Circuits
(Cylinders in
Series)
29
HYDRAULIC CIRCUITS
High-Low Circuit
• Many systems require a high volume at low pressure for rapid
movement of a vise or tool, then low volume at high pressure for
clamping or feeding. This can be accomplished by a high-low circuit
using two pumps.
• During rapid traverse, both pumps supply the system. When pressure
rises during clamping or feed, the large-volume main pump unloads,
and the small pump maintains pressure.
30
High-Low Circuit
31
HYDRAULIC CIRCUITS
Pressure Intensifier Circuits
• Pressure or fatigue-testing machines often require high pressure for
long periods of time. Other circuits might need a small volume of
high-pressure fluid for a short period while most of the cycle only
needs low pressure.
• Other machines can use air cylinders to manipulate a part but need
very high pressure to perform one operation.
32
HYDRAULIC CIRCUITS
Pressure Intensifier Circuits
• When a circuit calls for a small volume of high-pressure oil or air, an
intensifier can be used — sometimes called a booster. Most cylinder
manufacturers build air- or hydraulic-powered intensifiers.
33
HYDRAULIC CIRCUITS
Pressure Intensifier Circuits
• The difference between the two areas gives high-pressure capability
at the small ram. This capability is indicated by the area ratio.
• If the air piston has a 5-in. diameter and the oil piston has a 1-in.
diameter, the area ratio is 25:1.
• With this area ratio, 80 psi acting on the air piston produces 2000 psi
at the hydraulic piston.
34
Air-oil
Intensifier
Circuit
35
HYDRAULIC CIRCUITS
Pressure Intensifier Circuits
Air-oil intensifier Circuit
• Extension: when the first 4/2 DCV (valve 1) is shifted to left mode,
the air from the reservoir flows to the approach tank. In the
approach tank the air forces the oil to the blind end of the cylinder
through the bottom of the intensifier. Now the cylinder extends.
• Useful work: when the cylinder experiences its load, the second 4/2
DCV (valve 2) is actuated to the left mode. This valve position sends
air to the top end of the intensifier. Now the intensifier moves down,
and piston of the intensifier blocks path of oil from the approach
tank. Now the cylinder receives high pressure oil at the blind end to
perform the useful work.
36
HYDRAULIC CIRCUITS
Pressure Intensifier Circuits
Air-oil intensifier Circuit
39
HYDRAULIC CIRCUITS
Speed Control of a Hydraulic Cylinder
METER-IN CIRCUIT
• In the return stroke, however, the fluid can bypass the needle valve
and flow through the check valve and hence the return speed is not
controlled.
40
Meter-out
Circuit
41
HYDRAULIC CIRCUITS
• When the cylinder extends, the flow coming from the pump into the
cylinder is not controlled directly.
• However, the flow out of the cylinder is controlled using the flow-
control valve (metering orifice).
• On the other hand, when the cylinder retracts, the flow passes
through the check valve unopposed, bypassing the needle valve.
Thus, only the speed during the extend stroke is controlled.
42
HYDRAULIC CIRCUITS
Bleed-off Circuit
• Compared to meter-in and meter-out circuits, a bleed-off circuit is
less commonly used.
• To slow down the actuator, some of the flow is bled-off through the
flow-control valve into the tank before it reaches the actuator.
• This reduces the flow into the actuator, thereby reducing the speed
of the extend stroke.
44
Bleed-off Circuit
45
Speed Control
of a Hydraulic
Motor
46
HYDRAULIC CIRCUITS
Speed Control of a Hydraulic Motor
• It uses a pressure-compensated FCV.
• In a spring-centered position of the four-way valve, the motor is
hydraulically blocked.
• When the valve is actuated to the left envelope, the motor rotates in
one direction. Its speed can be varied by adjusting the throttle of the
FCV. Thus, the speed can be infinitely varied and the excess oil goes
through the PRV.
• When the valve is deactivated, the motor stops suddenly and
becomes locked.
• When the right envelope is in operation, the motor turns in the
opposite direction. The PRV provides overload protection if, for
example, the motor experiences an excessive torque load.
•
47
HYDRAULIC CIRCUITS
Fail-safe circuit
• Fail-safe circuits are those designed to prevent injury to the operator
or damage to the equipment.
48
HYDRAULIC CIRCUITS
Fail-safe circuit
Protection from inadvertent cylinder extension
49
Fail-safe circuit
Protection from
inadvertent
cylinder
extension
50
HYDRAULIC CIRCUITS
Fail-safe circuit
Protection from inadvertent cylinder extension
• To lower the cylinder, pilot pressure from the blank end of piston
must pilot open the check valve to allow oil to return through the
DCV to the tank.
• This happens when the push button is actuated to permit the pilot
pressure actuation of DCV or when the DCV is directly manually
actuated when the pump operates.
51
HYDRAULIC CIRCUITS
Counterbalance valve circuit
52
Counter-
balance valve
circuit
53
HYDRAULIC CIRCUITS
Counterbalance valve circuit
Valve Operation (Lowering)
• The pressure setting on the counterbalance valve is set slightly higher
than the pressure required to prevent the load from free falling. Due
to this back pressure in line A, the actuator piston must force down
when the load is being lowered.
• This causes the pressure in line A to increase, which raises the spring-
opposed spool, thus providing a flow path to discharge the exhaust
flow from line A to the DCV and then to the tank. The spring-
controlled discharge orifice maintains back pressure in line A during
the entire downward piston stroke.
54
HYDRAULIC CIRCUITS
Counterbalance valve circuit
Valve Operation (Lifting)
• When the load is raised again, the internal check valve opens to
permit flow for the retraction of the actuator.
55
HYDRAULIC CIRCUITS
Counterbalance valve circuit
Valve Operation (Suspension)
56
ACCUMULATOR
57
ACCUMULATOR
Functions of Accumulator
• Energy storage
• Pulsation absorption
• Shock cushioning
• Supplementing pump flow
• Maintaining pressure
• Fluid dispensing
58
ACCUMULATOR
Types of Accumulator
60
ACCUMULATOR
Types of Accumulator
Spring-loaded accumulator
Spring-loaded accumulator
62
ACCUMULATOR
Types of Accumulator
Gas-loaded accumulator
A gas accumulator can be very large and is often used with water or
high water-based fluids using air as a gas charge.
63
ACCUMULATOR
Types of Accumulator
Gas-loaded accumulator
64
ACCUMULATOR
Types of Accumulator
Gas-loaded accumulator
65
ACCUMULATOR
Types of Accumulator
66
ACCUMULATOR
Types of Accumulator
67
ACCUMULATOR
Types of Accumulator
• In this type, the hydraulic fluid and nitrogen gas are separated by a
synthetic rubber diaphragm.
69
ACCUMULATOR
Types of Accumulator
• Here the gas and the hydraulic fluid are separated by a synthetic
rubber bladder.
70
ACCUMULATOR
Types of Accumulator
71
ACCUMULATOR SIZING
72
73
74
75
76
77
ACCESSORIES USED IN FLUID POWER SYSTEMS
Hydraulic Seals
• Seals are used in hydraulic systems to prevent excessive internal and
external leakage and to keep out contamination.
78
ACCESSORIES USED IN FLUID POWER SYSTEMS
Hydraulic Seals
Classification of Hydraulic Seals
79
ACCESSORIES USED IN FLUID POWER SYSTEMS
Hydraulic Seals
Classification of Hydraulic Seals
1. Static seals: These are used between mating parts that do not
move relative to one another.
80
ACCESSORIES USED IN FLUID POWER SYSTEMS
Hydraulic Seals
Classification of Hydraulic Seals
81
ACCESSORIES USED IN FLUID POWER SYSTEMS
Hydraulic Seals
Classification of Hydraulic Seals
2. V-ring seal and U-ring seal: V- and U-ring seals are compression-
type seals used in virtually in all types of reciprocating motion
applications.
82
ACCESSORIES USED IN FLUID POWER SYSTEMS
Hydraulic Seals
Classification of Hydraulic Seals
83
ACCESSORIES USED IN FLUID POWER SYSTEMS
Hydraulic Seals
Classification of Hydraulic Seals
Plastic and synthetic rubber materials are used and must compatible
with hydraulic fluid.
1. Neoprene (chloroprene).
2. Buna-N.
3. Silicone (Teflon).
4. Tetrafluoroethylene.
5. Viton.
84
ACCESSORIES USED IN FLUID POWER SYSTEMS
Reservoirs
1. To provide a chamber in which any change in the volume of fluid in a
hydraulic circuit can be accommodated.
2. To provide a filling point for the system.
3. To serve as a storage space for the hydraulic fluid used in the system.
4. It is used as the location where the fluid is conditioned.
5. To provide a volume of fluid which is relatively stationery to allow
entrained air to separate out and heavy contaminants to settle.
6. It is a place where the entrained air picked up by the oil is allowed to
escape.
7. To accomplish the dissipation of heat by its proper design and to
provide a radiating and convective surface to allow the fluid to cool.
85
ACCESSORIES USED IN FLUID POWER SYSTEMS
Reservoirs
86
ACCESSORIES USED IN FLUID POWER SYSTEMS
Reservoirs
Features of a Hydraulic Reservoir
1. Filler cap (breather cap): It should be airtight when closed but may
contain the air vent that filters air entering the reservoir to provide a
gravity push for proper oil flow.
2. Oil level gauge: It shows the level of oil in the reservoir without
having to open the reservoir.
3. Baffle plate: It is located lengthwise through the center of the tank
and is two-third the height of the oil level. It is used to separate the
outlet to the pump from the return line. This ensures a circuitous
flow instead of the same fluid being recirculated. The baffle prevents
local turbulence in the tank and allows foreign material to settle, get
rid of entrapped air and increase heat dissipation.
87
ACCESSORIES USED IN FLUID POWER SYSTEMS
Reservoirs
Features of a Hydraulic Reservoir
Types of Reservoirs
89
ACCESSORIES USED IN FLUID POWER SYSTEMS
Filters and Strainers
Filters
90
ACCESSORIES USED IN FLUID POWER SYSTEMS
Filters and Strainers
Strainers
• It does not provide as fine a screening action as filters do, but offers
less resistance to flow and is used in pump suction lines where
pressure drop must be kept to a minimum.
91
ACCESSORIES USED IN FLUID POWER SYSTEMS
Types of Filters
93
ACCESSORIES USED IN FLUID POWER SYSTEMS
Types of Filters
• Surface filters: These are nothing but simple screens used to clean oil
passing through their pores. The screen thickness is very thin and
dirty unwanted particles are collected at the top surface of the
screen when the oil passes, for example, strainer.
94
ACCESSORIES USED IN FLUID POWER SYSTEMS
Types of Filters
95
ACCESSORIES USED IN FLUID POWER SYSTEMS
Types of Filters
96
ACCESSORIES USED IN FLUID POWER SYSTEMS
Types of Filters
• Return line filters (low-pressure filters): These filters filter the oil
returning from the pressure-relief valve or from the system, that is,
the actuator to the tank. They are generally placed just before the
tank.
97
ACCESSORIES USED IN FLUID POWER SYSTEMS
Types of Filters
98
ACCESSORIES USED IN FLUID POWER SYSTEMS
Types of Filters
• Full flow filters: In this type, complete oil is filtered. Full flow of oil
must enter the filter element at its inlet and must be expelled
through the outlet after crossing the filter element fully.
99
ACCESSORIES USED IN FLUID POWER SYSTEMS
Types of Filters
100
ACCESSORIES USED IN FLUID POWER SYSTEMS
Types of Filters
101
ACCESSORIES USED IN FLUID POWER SYSTEMS
Heat Exchangers
• Heat can cause the hydraulic fluid temperature to exceed its normal
operating range of 35–70oC.
103
MAINTENANCE OF HYDRAULIC SYSTEM
104
MAINTENANCE OF HYDRAULIC SYSTEM
106
MAINTENANCE OF HYDRAULIC SYSTEM
• Good hydraulic oils hold these contaminants in suspension and filters collect
them as the oil passes through.
• Good hydraulic oil contains many additives that work to keep contaminants
from damaging or plugging the system.
107
MAINTENANCE OF HYDRAULIC SYSTEM
• The system filters can absorb only a limited amount of dirt particles
and other contaminants from the oil.
• After that the filters stop working. At this point, the filters should be
cleaned or replaced with new ones so that the cleaning process can
be maintained.
108
MAINTENANCE OF HYDRAULIC SYSTEM
109
MAINTENANCE OF HYDRAULIC SYSTEM
• It is advisable to clean and flush the system after draining the oil out.
After draining the system, clean any sediment from the reservoir and
clean or replace the filter elements.
110
MAINTENANCE OF HYDRAULIC SYSTEM
• Use only clean oil and funnels or containers, and then be sure to
replace the filler cap before operating the equipment.
111
MAINTENANCE OF HYDRAULIC SYSTEM
Preventing Leaks
• There are internal and external leakages.
• Internal leakage does not result in actual loss of oil but it does reduce
the efficiency of the system.
• External leakage does result in direct loss of oil and can have other
undesirable effects as well.
Preventing Overheating
• Heat causes hydraulic oil to breakdown faster and lose its
effectiveness. This is why cooling of the oil is needed.
• To help prevent overheating, keep the oil at the proper level; clean
dirt and mud from lines, reservoirs and coolers; check for dented and
kinks lines; and keep relief valves adjusted properly.
113
MAINTENANCE OF HYDRAULIC SYSTEM
b) Entrained gas
• Entrained gas (gas bubbles within the hydraulic fluid) is created when
the pressure drops below the vapor pressure of the hydraulic fluid.
115
MAINTENANCE OF HYDRAULIC SYSTEM
c) Dissolved Air
• Dissolved air is in the solution and thus cannot be seen and does not
add to the volume of the hydraulic fluid.
117
MAINTENANCE OF HYDRAULIC SYSTEM
118