Subject Name: Instrumentation & Process Control
Time: 02:30 PM TO 05:00 PM Total Marks: 70
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Instructions:
- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
Q.1
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- (a) Why P mode controller creates offset? How can it be overcome? 03
- (b) Define the following terms: 04
- Overshoot
- Response time
- Rise time
- Stability of the process
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- (c) A thermometer with time constant 10 sec showing a steady temperature of 35 °C is suddenly immersed in heated oil bath at 200 °C. Find: 07
- Time required for temperature reading of 150 °C.
- Temperature reading on the thermometer after 25 sec.
- The percentage response after 40 sec.
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OR
- (a) List out the assumptions for mercury thermometer as first order system and justify them. 03
- (b) Prove that the effect of feedback is to speed-up the response of the control. 04
- (c) Define second order system. Derive the transfer function of U-Tube Manometer in which pressure P is acting in one limb and other limb is open to the atmosphere. 07
Q.2
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- (a) What is offset? Why it cannot be eliminated when P-controller is used? 03
- (b) Explain transfer lag and transportation lag. 04
- (c) The transfer function of the second order control system is given as, 07
G(s)= 5 / (s2+s)
A step change of magnitude 5 is given in the input variable. Determine,
- Overshoot
- Rise time
- Period of oscillation
- Maximum value of response
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OR
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- (a) Solve the following by using Laplace transforms: 03
d2x/dt2 +4x = 2e-t; given x(0) = x'(0) = 0.
- (b) Draw the block diagram for temperature control system of heated stirred tank with proportional controller. 04
- (c) What are Bode diagrams? Explain the graphical rules for Bode diagrams. 07
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GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER-V (NEW) EXAMINATION - SUMMER 2019
Subject Code: 2150504 Date: 03/06/2019
Q.3
- (a) Explain rules of Root-Locus diagram. 03
- (b) A proportional derivative controller having the gain Kc and the derivative time is 4 is used to controller two first order non-interacting systems having time constant t1=1 and t2=0.5. If the gain of the process is 0.5. Sketch the Root locus diagram for the control system. The transfer function of the measuring element is 1/S. 04
- (c) For two interacting first order liquid level systems derive the transfer function. Show the effect at-outlet flow rate from second tank to step and pulse input disturbance-in-flow to the first tank. 07
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OR
- (a) Explain Servo and Regulator control with suitable examples. 03
- (b) What do you mean by open loop transfer function and closed loop transfer function? Determine the transfer function Y(s) / X(s) for the following block diagram. 04
[Block diagram description: X goes into a summing junction (+). The output of the summing junction goes through G1, then G2, then G3 to Y. Y is fed back through H to the (-) input of the summing junction.]
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- (c) Determine the stability of the system having the open loop transfer function given as, 07
G(s) = Kc / (s(s+1)(s+2))
Use Routh criterion. Determine the value of gain of the controller for which the system just causes instability.
Q.4
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- (a) Define following terms: 03
- Static error
- Drift
- Reproducibility
- (b) Explain principle and working of venturimeter. 04
- (c) Describe the bubbler system for liquid level measurement with neat sketch. 07
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OR
- (a) Mention various temperature measurement methods. 03
- (b) Explain dynamic characteristics of an instrument. 04
- (c) Describe the principle, construction and working of thermocouple used for temperature measurement. 07
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Q.5
- (a) Explain rules of Root-Locus diagram. 03
- (b) A proportional derivative controller having the gain Kc and the derivative time is 4 is used to controller two first order non-interacting systems having time constant t1=1 and t2=0.5. If the gain of the process is 0.5. Sketch the Root locus diagram for the control system. The transfer function of the measuring element is 1/S. 04
- (c) For two interacting first order liquid level systems derive the transfer function. Show the effect at-outlet flow rate from second tank to step and pulse input disturbance-in-flow to the first tank. 07
OR
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- (a) Explain Servo and Regulator control with suitable examples. 03
- (b) What do you mean by open loop transfer function and closed loop transfer function? Determine the transfer function Y(s) / X(s) for the following block diagram. 04
[Block diagram description: X goes into a summing junction (+). The output of the summing junction goes through G1, then G2, then G3 to Y. Y is fed back through H to the (-) input of the summing junction.]
- (c) Determine the stability of the system having the open loop transfer function given as, 07
G(s) = Kc / (s(s+1)(s+2))
Use Routh criterion. Determine the value of gain of the controller for which the system just causes instability.
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