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A pressure measuring device has been analyzed and can be described by a model with the structure shown in

A pressure-measuring device has been analyzed and can be described by a model with the structure shown in Fig E6.7a. In other words, the device responds to pressure changes as if it were a first-order process in parallel with a second-order process. Preliminary tests have shown that the gain of the first-order process is -3 and the time constant equals 20 min, as shown in Fig. E6.7a. An additional test is made on the overall system. The actual output Pm (not Pm) resulting from a step change in P from 4 to 6 psi is plotted in Fig. E6.7b. R'(s) 2.2 P(s) Pm(s) -3 20s 1 Q(s) Figure E6.7a 30 26 Pm () 18 14 10 0 20 40 60 80 100 Time (min) Figure E6.7b (a) Determine Q'(t) (b) What are the values of K, T, and (c) What is the overall transfer function for the measure- ment device Pm(s)/P'(s)? (d) Find an expression for the overall process gain

 

Jul 23 2020 View more View Less

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