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1. Consider the liquid level, PI control system in the following figure. The liquid level is measured and the level transmitter output is sent to
1. Consider the liquid level, PI control system in the following figure. The liquid level is measured and the level transmitter output is sent to a feedback controller that controls liquid level h by adjusting flow rate 92. A second inlet flow rate 91, is the disturbance variable. The liquid density p and the cross-sectional area of the tank A are constant. The flow-head relation is linear, 93 = h/R. The level transmitter, I/P transducer, and pneumatic control valve have negligible dynamics. An electronic controller with input and output in % is used (full scale=100%). P 11 92 LC 1/P h 93 a) Draw a block diagram for the system (10 Points) b) What is the closed-loop transfer function for set-point changes? (20 Points) c) Assume: A=3 ft? R=1.0 min/ft? K&=0.2 ft3/min psi, Ko=4 mA/A, K=5.33, Kyp=0.75 psi/mA, and 5=3min. Suppose that the system is initially at the nominal steady state with a liquid level of 2 ft. If the set point is suddenly changed from 2 to 3 f how long will it take the system to reach 2.5 ft and 3ft. (20 Points)
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