(b) Consider a strain gauge with a nominal resistance of 3400 and a gauge factor of 4. due to strain of a mm/m the gauges resistance became 5000. 1. Calculate the value of the applied strain that led to this resistance change. ii. If the strain gauge was incorporated in a Wheatstone bridge circuit as depicted in Figure Q4. (b) derive the mathematical expression of Van as a function of V, R1, R2, R3 and Rs. iii. R1 R2 R3 8- Rs Figure Q4. (b) Assuming R1 R2 R3 = 600 with a supply voltage of 15 V, determine the increase in strain given that the voltage increase is detected by 0.03 V.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter12: Power System Controls
Section: Chapter Questions
Problem 12.2P
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Solve B part only plz in 30 min please
Question 4
(a) A negative feedback DC motor speed controller is required to maintain a speed of 1000
revolution per minute (RPM) with a varying mechanical load on the output shaft. The
simplified transfer function (T. Fn.) for the motor is 150 RPM per amp. The power
amplifier driving the motor has a T. Fn. of 55 amps per volt and the tachometer which
provides the speed feedback information has a T. Fn. of 0.15V per RPM.
i. Draw the block diagram of the motor system
What is the open loop gain of the system?
What is the closed loop gain of the system?
iv. Calculate the required input demand voltage to set the output at 1650RPM.
ii.
iii.
V.
(b) Consider a strain gauge with a nominal resistance of 3400 and a gauge factor of 4.
due to strain of a mm/m the gauges resistance became 5000.
i. Calculate the value of the applied strain that led to this resistance change.
ii.
Find the transfer function that relates the error voltage to the input voltage? What
is the error voltage when the motor speed is 650 RPM?
iii.
If the strain gauge was incorporated in a Wheatstone bridge circuit as depicted in
Figure Q4. (b) derive the mathematical expression of VAR as a function of V, R1,
R2, R3 and Rs.
R1
R2
R3
Rs
Figure Q4. (b)
Assuming R1 = R2 = R3 = 600 with a supply voltage of 15 V, determine the
increase in strain given that the voltage increase is detected by 0.03 V.
Transcribed Image Text:Question 4 (a) A negative feedback DC motor speed controller is required to maintain a speed of 1000 revolution per minute (RPM) with a varying mechanical load on the output shaft. The simplified transfer function (T. Fn.) for the motor is 150 RPM per amp. The power amplifier driving the motor has a T. Fn. of 55 amps per volt and the tachometer which provides the speed feedback information has a T. Fn. of 0.15V per RPM. i. Draw the block diagram of the motor system What is the open loop gain of the system? What is the closed loop gain of the system? iv. Calculate the required input demand voltage to set the output at 1650RPM. ii. iii. V. (b) Consider a strain gauge with a nominal resistance of 3400 and a gauge factor of 4. due to strain of a mm/m the gauges resistance became 5000. i. Calculate the value of the applied strain that led to this resistance change. ii. Find the transfer function that relates the error voltage to the input voltage? What is the error voltage when the motor speed is 650 RPM? iii. If the strain gauge was incorporated in a Wheatstone bridge circuit as depicted in Figure Q4. (b) derive the mathematical expression of VAR as a function of V, R1, R2, R3 and Rs. R1 R2 R3 Rs Figure Q4. (b) Assuming R1 = R2 = R3 = 600 with a supply voltage of 15 V, determine the increase in strain given that the voltage increase is detected by 0.03 V.
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