A process stream is heated using a shell and tube heat exchanger. The exit temperature is controlled by adjusting the steam control valve shown in Fig. E12.5. During an open-loop experimental test, the steam pressure Ps was suddenly changed from 18 to 20 psig and the temperature data shown below were Exercises 233 Steam Figure E12.5 obtained. At the nominal conditions, the control valve and current-to-pressure transducers have gains of Kv = 0.9 psi/psi and K1p = 0.75 psi/rnA, respectively. Determine appropriate PID controller settings using the following approaches: (a) Internal Model Control (select a reasonable value of Tc) (b) ITAE(setpoint) (c) IT AE (disturbance) t(min) Tzm(mA) 0 12.0 1 12.0 2 12.5 3 13.1 4 14.0 5 14.8 6 15.4 7 16.1 8 16.4 9 16.8 10 16.9 11 17.0 12 16.9
Problem 12.5A process stream is heated using a shell and tube heat exchanger. The exit temperature iscontrolled by adjusting the steam control valve shown in Fig. E12.5. During an open-loopexperimental test, the steam pressure Pswas suddenly changed from 18 to 20 psig and thetemperature data shown belowwere obtained. At the nominal conditions, the control valve and current-to-pressure transducershave gains of K = 0.9 psi/psi and K = 0.75 psi/mA, respectively. Determine appropriate PID v 1Pcontroller settings using the following approaches:(a) Internal Model Control (select a reasonable value oc )(b) ITAE(setpoint)(c) IT AE (disturbance) t(min) Tzm(mA) 0 12.0 1 12.0 2 12.5 3 13.1 4 14.0 5 14.8 6 15.4 7 16.1 8 16.4 9 16.8 10 16.9 11 17.0 12 16.9 Step-by-step solution Step 1 of 9 ^The plot with step response and a tangent line from the infection point from the given data isshown in Figure 1.\n Figure 1