Consider the furnace shown in Figure 2, which is used to heat
air that is supplied to a catalytic regenerator. The temperature
transmitter is calibrated from 300 to 500°F. The following data
correspond to the response obtained for a step change of + 5% in
the control valve that supplies fuel to the furnace.
a. Draw the block diagram of the control system, specify the
units in each signal and in each block. Describe the needs of
controller operation in this system.
b. From the data, fit the process to a first-order model with dead
time. Determine the coefficient of determination R^2 in the
obtained model.
c) Tune a PID controller whose response fits the 1/4 Ziegler
& Nichols decay criterion. Describe the design of the
controller and its control response using performance graphs.
d. Consider that at minute 40, there is a disturbance on
the air temperature whose model is given by
Gd(s)=T(s)/2=-0.5/(1.8s+1). Determine the maximum deviation in the
temperature that occurs before said disturbance and the time in
which the controller corrects it.
Tiempo [min] 0 0.5 1.0 2.0 2.5 3.0 3.5 4.0 4.5 5.0 T(t) [°F] 425 425 425 425 426.4 428.5 430.6 432.4 434 435.3 Tiempo [min] T(t) [°F] 5.5 436.6 6.0 437.6 7.0 439.4 8.0 440.7 9.0 441.7 10.0 442.5 11.0 443.0 12.0 443.5 14.0 444.1 20.0 445
Air Air Stack gases Fuel TT 23 TC 23
Consider the furnace shown in Figure 2, which is used to heat air that is supplied to a catalytic regenerator. The tempe
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