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 LEVEL CONTROL OF WOOD CHIP TANK
The level control system for a wood chip
tank is simulated. The purpose of the level control is to keep the level
between specified limits: It is important that the level is not too high,
otherwise the chip will not be sufficiently pre-heated (by steam from the
cookery), or the tank will simply run full. And it is important that the
level is not too low, otherwise the steam will stream through the chip
causing an awful smell in the neighbourhood.
The level control system is (quite) similar to an
existing control system at Tofte Södra Cell in Norway.
Here is a mathematical process
model
(however, the tasks given below do not assume knowledge about this model).
The values of the model are available via the
front panel of the
simulator.
The aims of the tasks given below
are
- to give an understanding of how an automatic feedback
control system works, and which benefits feedback control has compared
to using a fixed value of the manipulated variable
- to give an understanding of the properties of two
important control functions, namely PID control and on/off-control
- to develop skills in tuning controller parameters
- to give insight into how various parameters (in the controller, in the
process, and in the measurement device) influates
the dynamic properties and the stability properties of the control
system.
In other words: This lab will give your (more) insight
into the most important issues of control engineering!
Control systems are essential in industry because it is
important to control process variables so that they are kept equal to or
close to set-points. The PID-controller is by far the most frequently used
controller function, and it is a main topic in this lab.
This lab is about level control, and in most plants there is a need to
control level. The simulated tank with it's level control system in this
lab is a "real" system, as it actually exists, as mentioned
above.
In the tasks below it is assumed that the process is in
it's nominal operating point unless something else is stated. The
nominal operating point is defined as follows:
- The reference is 8.7 meter (which is in the middle of
the operating area, which is from 7.2 to 10.2 m).
- The chip outflow is wout = 1500
kg/min = wout,nom.
- The nominal value of the manipulated variable is unom =
45%, which gives an inflow that is equal to the nominal outflow.
In the tasks about PID-control: Set the set-point
weights wp and wd equal to 1, and the coefficient a
= Tf/Td equal to 0.1 (these are also the default values as set on the
front panel). Let the PID-controller have anti-windup.
- First: No controller!
Set the controller in manual mode. Give the outflow a step from e.g. 1500
to 1800 kg/min, which implies that unom no longer fits to
the nominal outflow, wut,nom. Characterize the response in
the level. Is control using a fixed value of the manipulated variable
(unom = constant) an acceptable way of
controlling this process?
- Then: Manual control,
that is: YOU are the controller! Set the controller
in manual mode. Give the outflow a step from e.g. 1500 to 1800 kg/min.
Compensate for this disturbance by adjusting unom. How long
time do you need to bring the level back to the set-point with an
error less than 0.1 meter? Are there any drawbacks with using a human
being as a continuous controller?
- Automatic control using
an on/off controller: Set the controller in automatic
mode. Set the on/off controller's amplitude to 10 % and the hysteresis
width to 0%. Give wut and unom
their nominal values.
- Characterize the response in the level. Explain!
- Apply a step to wut from 1500 to 1800 kg/min.
How is the response in the level? Explain! What happens with the
response if you increase M (from 10%)?
- Automatic control with
a PID-controller: Parameter tuning:
In the tasks above you should have observed that there are certain
problems connected to having a constant manipulated variable, and also
with on/off-control. May be continuous control with PID-controller
will work better?
- Find the PID-parameters using the
Åstrøm-Hägglund-method. (You will see that the response in the
level is not sinusoidal, but just pretend it is - that is, you can
read off the amplitude of the oscillations in the usual way.)
- Find the PID-parameters also using
Ziegler-Nichols' closed-loop method. Are the parameters
approximately the same as with the relay- or on/off-tuner?
In the following tasks you shall use the
PID-parameter values as found in task 4a or 4b. If you have not
executed task 4, you can use the following PID-parameter values,
which you can regard as "standard values":
Kp = 1.8, Ti = 9 min = 540 sec, Td = 2.25 min =
135 sec.
- Is the stability of the
control system OK? Give wut a step from
e.g. 1500 to 2000 kg/m, and observer how the level returns to the
set-point. Does the controller have proper stability?
- Compensation properties:
- How large is the stationary control error using a
PID-controller after a step in wut from 1500 to 1800 kg/min?
- How long time time does it take for the
PID-controller to bring the level back to the set-point with an
error smaller than 0,1m (after the step in wut as
described above)? Which controller is best in this respect: You,
the on/off-controller, or the PID?
- Use a P-controller. Choose a proper value of Kp
in the P-controller. How large is now the stationary control error?
Zero?
- Tracking properties:
How large is the stationary control error with a PID-ontroller after a
step in the set-point (choose the step value yourself)?
- How the P-, I- and D-term woks:
Observe how the three terms in the control signal, u, works after a step
in the disturbance. (There is a button beneath the diagram of u to show
the time-response of the individual control signal terms.)
- How parameter changes
influates the stability of the control system: Observe
how the stability of the control system changes due to the parameter
changes describes below. In each subtask/experiment you can excite the
control system with a small step in the set-point. The experiments
must be performed independant of each other, that is, you have to
reset the parameters to the standard values (defines above) between each experiment.
- The controller gain Kp is increased (much).
- The integral time Ti is reduced (much).
- The derivate time Td is increased (much).
- The screw gain Ku is increased (much).
- The sampling interval of the controller, Ts_reg (which
can be adjusted in the parameter field in the upper part of the
front panel) is increased (much).
- The dead-time (time-delay) td of the conveyor is increased (much).
- The cross sectional area A is reduced (much).
- The measurement gain Km,LT is
increased (much).
- The set-point gain Km,LC is increased
(much).
-
The importance of using
the correct measurement function in the setpoint generation:
- What happens with the control error of the
set-point gain Km,LC is different from the measurement
gain Km,LT?
- What happens with the control error if the
lower limit, rm0, of the set-point range is different
from the lower limit, ym0, of the measurement range?
[KYBSIM] [TechTeach]
Updated March 6, 2004.
Developed by
Finn Haugen.
E-mail: finn@techteach.no. |