Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Summer 8th Sem New 2183607 Process Instrumentation Dynamics And Control Previous Question Paper
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?VIII(NEW) EXAMINATION ? SUMMER 2019
Subject Code:2183607 Date:15/05/2019
Subject Name:Process Instrumentation, Dynamics & Control
Time:10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
MARKS
Q.1 (a) Mention the following terms relating to control system
(i) set point tracking (ii) disturbance rejection (iii) block diagram
03
(b) Write a short note on characteristics of laplace transform mentioning
it for input of unit step function .
04
(c) Find the laplace transform of function x(t) that satisfies the
differential equation and initial conditions
?? 3
?? ?? ?? 3
+ 2
?? 2
?? ?? ?? 2
?
???? ???? ? 2?? = 2
?? (0) = 1, ?? ?
(0) = 0, ?? ??
(0) = ?1
07
Q.2 (a) State and prove final value theorem. 03
(b) Write the systematic procedure for determining transfer function of a
process.
04
(c) A thermometer exhibiting first order dynamics having a time constant
of 5 sec is at a steady state temperature of 25?C. At time t = 0 , the
thermometer is placed in a temperature bath at 70 ?C. Show that value
of response reaches 63.2 % of its ultimate vale when time elapsed is
equal to one time constant.
07
OR
(c) Derive the transfer function of first order system of mercury in
thermometer mentioning assumptions involved.
07
Q.3 (a) A control system is subjected to a step change of magnitude 10. The
transfer function of the control system is expressed as
?? (?? ) =
6
0.9?? 2
+ 0.3?? + 10
Calculate (i) overshoot (ii) Radian frequency (iii) Decay ratio
03
(b) Mention characteristic features of an underdamped second order
system for a step forcing function.
04
(c) Derive the transfer function relating head to that of flow rate for liquid
level system connected in a noninteracting manner
07
OR
Q.3 (a) A PI controller with integral time ? I 1 min having a sensitivity KC =
1. The error is subjected to a linear change of 3 ?C/min. Obtain
response equation of controller.
03
(b) Describe a second order system. Mention how the response in such a
system varies with variables characterizing the system.
04
(c) Derive the step response of an underdamped second order system. 07
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1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?VIII(NEW) EXAMINATION ? SUMMER 2019
Subject Code:2183607 Date:15/05/2019
Subject Name:Process Instrumentation, Dynamics & Control
Time:10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
MARKS
Q.1 (a) Mention the following terms relating to control system
(i) set point tracking (ii) disturbance rejection (iii) block diagram
03
(b) Write a short note on characteristics of laplace transform mentioning
it for input of unit step function .
04
(c) Find the laplace transform of function x(t) that satisfies the
differential equation and initial conditions
?? 3
?? ?? ?? 3
+ 2
?? 2
?? ?? ?? 2
?
???? ???? ? 2?? = 2
?? (0) = 1, ?? ?
(0) = 0, ?? ??
(0) = ?1
07
Q.2 (a) State and prove final value theorem. 03
(b) Write the systematic procedure for determining transfer function of a
process.
04
(c) A thermometer exhibiting first order dynamics having a time constant
of 5 sec is at a steady state temperature of 25?C. At time t = 0 , the
thermometer is placed in a temperature bath at 70 ?C. Show that value
of response reaches 63.2 % of its ultimate vale when time elapsed is
equal to one time constant.
07
OR
(c) Derive the transfer function of first order system of mercury in
thermometer mentioning assumptions involved.
07
Q.3 (a) A control system is subjected to a step change of magnitude 10. The
transfer function of the control system is expressed as
?? (?? ) =
6
0.9?? 2
+ 0.3?? + 10
Calculate (i) overshoot (ii) Radian frequency (iii) Decay ratio
03
(b) Mention characteristic features of an underdamped second order
system for a step forcing function.
04
(c) Derive the transfer function relating head to that of flow rate for liquid
level system connected in a noninteracting manner
07
OR
Q.3 (a) A PI controller with integral time ? I 1 min having a sensitivity KC =
1. The error is subjected to a linear change of 3 ?C/min. Obtain
response equation of controller.
03
(b) Describe a second order system. Mention how the response in such a
system varies with variables characterizing the system.
04
(c) Derive the step response of an underdamped second order system. 07
2
Q.4 (a) How stability is mentioned for linear systems? 03
(b) For the case of a servo problem prove that an increase in controller
gain will reduce the value of offset.
04
(c) Determine the transfer function Y(s)/X(s) for the system as shown in
the figure
07
OR
Q.4 (a) Differentiate Servo problem and regulator problem. 03
(b) Mention the rule for plotting root locus diagram for a negative
feedback system.
04
(c) Obtain the response of a regulator problem for a change in load
variable.
07
Q.5 (a) Mention various laws of thermoelectricity. 03
(b) Write a short note on McLeod Vacuum gauge. 04
(c) Describe various static and dynamic characteristics of measuring
instruments.
07
OR
Q.5 (a) Write a short note on pressure measurement scales. 03
(b) Describe the working of pressure spring thermometer. 04
(c) With a neat diagram explain how venturimeter is used for measuring
flow deriving the equation for discharge.
07
*************
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This post was last modified on 20 February 2020