LEVEL CONTROL OF WOOD CHIP TANK



Description of the system to be simulated

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.


Aim of this lab

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!


Motivation

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.


Suggested exercises

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.

  1. 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?

     

  2. 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?

     

  3. 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.
    1. Characterize the response in the level. Explain!
    2. 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%)?

     

  4. 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?
    1. 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.)

    2. 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.

       

  5. 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?

  6. Compensation properties:
    1. How large is the stationary control error using a PID-controller after a step in  wut from 1500 to 1800 kg/min? 
    2. 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?
    3. Use a P-controller. Choose a proper value of Kp in the P-controller. How large is now the stationary control error? Zero?



  7. 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)?

  8. 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.)

  9. 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.
    1. The controller gain Kp is increased (much).
    2. The integral time Ti is reduced (much).
    3. The derivate time Td is increased (much).
    4. The screw gain Ku is increased (much).
    5. 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).
    6. The dead-time (time-delay) td of the conveyor is increased (much).
    7. The cross sectional area A is reduced (much).
    8. The measurement gain Km,LT is increased (much).
    9. The set-point gain Km,LC is increased (much).
  10. The importance of using the correct measurement function in the setpoint generation:

    1.  What happens with the control error of the set-point gain Km,LC is different from the measurement gain Km,LT
    2.  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?

     


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Updated March 6, 2004. Developed by Finn Haugen. E-mail: finn@techteach.no.