PRINCIPLES
OF PROPORTIONAL CONTROL
By
James W. Dennis
Manufacturers demand consistent quality in their
manufacturing processes because their customers
expect high quality. So it is no surprise that
controlling process values and the parameters
which effect them are a high priority.
Proportional, Integral, and derivative (PID) controllers
used in a closed loop system are the most common
method used to achieve consistent results desired.
In a typical closed loop system using a furnace
as an example, the controller reads the temperature
inside the furnace through a signal generated
by a thermocouple and generates an output to a
gas control valve, contactor, or SCR to bring
the actual temperature into coincidence with the
set point.
Given the importance of process control, one might
be surprised to learn that many people struggle
to understand how these controllers work and how
to make them work for their process. But in today's
competitive climate and never ending technological
advances, is it any wonder that people have trouble
keeping up. Many of the manuals provided with
PID controllers are overly technical and well
just downright frustrating. With that in mind
lets try to cover the basic concepts which are
critical to improving process control.
Lets
first contrast PID control with something that's
a bit more straight forward, "ON/OFF"
control. (Reference Fig.1)
ON/OFF control systems are as the name suggests
either 100% ON or 100% off. These types of systems
use a "deadband" or "Hysteresis"
to determine which state the controller is in.
This type of system dictates that the process
value will always oscillate around the set point
value. If the deadband is too narrow the controller
will chatter between the on and off positions.
In a process where precise control is not a critical
factor an ON/OFF control system may be an option.
And in general these types of control systems
are less expensive than a PID control system.
PID control as stated before consists of three
components: Proportional, integral, and derivative.
Each component has a different effect on the control
loop. Here is a brief outline of each component.
Time Proportioning:
1.) More precise control by applying a corrective
action
proportional to the deviation between the process
variable, PV, and the set point,(SP). (Reference
Fig. 2).
2.) A proportional band determines when the controller
applies this corrective action.
3.) Outside the proportional band the controller
behaves like an
"on/off" controller.
4.) Within the proportional band the controller
is either on or off as established by a "cycle
time".
5.) The deviation between the PV and SP determines
what
percentage of the cycle time the controller is
on.
6.) Required for more precise control of process
temperature.
7.) Generally more expensive than on/off control.
Integral and derivative terms
1.) Integral (reset) is incorporated to compensate
for temperature droop. (Reference Fig.3)
2.) Manual reset controllers require the operator
to make an adjustment for each specific SP.
3.) Automatic reset controllers compensate for
temperature droop automatically. (Reference Fig.4)
4.) Automatic reset only functions when the PV
is inside the proportional band.
5.) Rate (derivative) prevents large overshoots
during system startup or disturbances. (Reference
Fig.5)
6.) Rate measures the rate of increase of the
PV an accelerates the proportional action to slow
the increase.
7.) Rate is proportional to the rate of change
of the PV.
Applications:
Now that we've outlined the basics of how PID
control works, we can look at a typical application.
UNIQUE/PERENY USA-Series
Gas Fired Kiln
This type of kiln uses two burners in a single
zone configuration. One PID controller uses a
thermocouple input signal to measure the temperature
inside the kiln chamber and a variable current
output signal to control the volume of gas to
the burners. The volume of air introduced into
the kiln is fixed. The current output signal from
the controller drives a motor which in turn positions
the gas valve between 0 and 100% open. As in typical
heating applications the controller operates in
a "reverse action" mode. This means
that the controller output increases as the process
value, PV, decreases in relation to the set point,
SP, and conversely the controller output decreases
as the PV increases in relation to the SP.
When adjusting the PID controller, the operator
must consider the dynamics of the process. For
example, If the process requires opening and closing
of the kiln door at operating temperature, then
the controllers PID terms, specifically the derivative,
should be adjusted to compensate for this type
of system upset.
Once adjusted for the particular process the PID
controller should operate consistently. A sudden
change in the behavior of the controller is a
good indication that something in the process
has changed.
UNIQUE/PERENY Pro-Cast
Tape Casting Machine
This type of machine used in the production of
thin ceramic tapes and films employs three different
PID control loops during operation. These are
used to control the heaters, the belt speed, and
the level of product.
1.) Heaters - A Pro-Cast tape casting machine
may have multiple zones of heat. In a typical
control system, each control zone uses a single
loop controller (ie-Honeywell 200 series) with
a type-J thermocouple input and a 4-20ma output.
The 4-20ma signal connects to a Silicone Control
Rectifier (SCR) and varies the voltage output
to the heaters.
2.) Conveyor Belt - A Pro-Cast tape casting machine
with a mylar carrier unwinds a spool of mylar
at the entrance end and winds up the mylar at
the exit end. An SCR DC voltage drive is used
in conjunction with a tachometer feedback to guarantee
constant speed. This closed loop system allows
the SCR DC drive to correct itself for any disturbances
to the system.
3.) Product level control - Pro-Cast tape casting
machines use a closed loop control system to control
the level (amount) of slurry (product) being introduced
into the machine. Here a single loop controller
(ie-Honeywell 200 series) with a 4-20ma signal
input and a 4-20ma signal output reads the level
of slurry via a proximity sensor and then opens
or closes a valve to control to a specific set
point.
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