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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. Draw the block diagram of the motor system i. ii. What is the open loop gain of the system? iii. What is the closed loop gain of the system? iv. Calculate the required input demand voltage to set the output at 1650RPM. v. 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?

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. Draw the block diagram of the motor system i. ii. What is the open loop gain of the system? iii. What is the closed loop gain of the system? iv. Calculate the required input demand voltage to set the output at 1650RPM. v. 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?

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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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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