1. In practice, we can adjust T using an electrical heater (Q). Draw a flowsheet and...
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1. In practice, we can adjust T using an electrical heater (Q). Draw a flowsheet and suggest how to control the temperature in the tank (y=T) using the heater with a single feedback controller. 2. The time delay due to the long pipe can be a problem for good control of T. Suggest an improved control structure (with cascade) based on measuring also To. Comment: the outer cascade is intended, for example, to correct for possible heat loss in the pipe and in the tank. 3. Consider a step disturbance in TF. Consider that the disturbance is at t=100s for this example. • What is the best possible control (ideal control) one can get for T for this system using feedback based on measuring T? Complete the green line in Figure 3b. • What if we can measure To? 4. What if we can measure TF(d) and use feedforward control? What is the best possible? 2.4 Figures In Figure 3, the input u (scaled heat input; red line) and the disturbance Tj (blue line) are plotted for the whole simulation, but the output T (green line) is plotted to 300 s. Please sketch by hand the behavior of output T (green line) for the remaining time. Temperature Temperature 0.5 -1.5 1.5 1 0.5 0 -0.5 1 -1 -1.5 0 0 Open-loop 100 200 300 400 500 600 700 800 Time, [s] (a) Open-loop response P Controller K =0.5 200 400 Time, [s] (c) Proportional control 600 800 Temperature Temperature -it -1.34 1.5 I 0.5 0 -0.5 -1 -1.5 0 100 0 200 300 400 500 600 Time. [s] Perfect control (b) Perfect control SIMC PI; T =100 200 400 Time, [s] (d) Proportional-Integral control Figure 3: Step response plots 700 800 600 T 800 1. In practice, we can adjust T using an electrical heater (Q). Draw a flowsheet and suggest how to control the temperature in the tank (y=T) using the heater with a single feedback controller. 2. The time delay due to the long pipe can be a problem for good control of T. Suggest an improved control structure (with cascade) based on measuring also To. Comment: the outer cascade is intended, for example, to correct for possible heat loss in the pipe and in the tank. 3. Consider a step disturbance in TF. Consider that the disturbance is at t=100s for this example. • What is the best possible control (ideal control) one can get for T for this system using feedback based on measuring T? Complete the green line in Figure 3b. • What if we can measure To? 4. What if we can measure TF(d) and use feedforward control? What is the best possible? 2.4 Figures In Figure 3, the input u (scaled heat input; red line) and the disturbance Tj (blue line) are plotted for the whole simulation, but the output T (green line) is plotted to 300 s. Please sketch by hand the behavior of output T (green line) for the remaining time. Temperature Temperature 0.5 -1.5 1.5 1 0.5 0 -0.5 1 -1 -1.5 0 0 Open-loop 100 200 300 400 500 600 700 800 Time, [s] (a) Open-loop response P Controller K =0.5 200 400 Time, [s] (c) Proportional control 600 800 Temperature Temperature -it -1.34 1.5 I 0.5 0 -0.5 -1 -1.5 0 100 0 200 300 400 500 600 Time. [s] Perfect control (b) Perfect control SIMC PI; T =100 200 400 Time, [s] (d) Proportional-Integral control Figure 3: Step response plots 700 800 600 T 800
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Related Book For
Stats Data and Models
ISBN: 978-0321986498
4th edition
Authors: Richard D. De Veaux, Paul D. Velleman, David E. Bock
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