A common actuator in control systems is the DC motor. It directly provides rotary motion and, coupled with wheels or drums and cables, can provide transitional motion. The electric circuit of the armature and the free body diagram of the rotor are shown in figure 3. Determine the following. i. The differential equations from the electrical circuit and the mechanical part. ii. Convert the differential equations to state space representation. The output is the speed of the de motor dt ii. Given component values R=5 Ohms, L= 6H, J= 8 kg-m?, b=4 N-m s/rad, assuming back Emf constant and motor torque constant are equal Kb=Kt=K=10, determine its controllability of the DC motor. iv. Based on the performance of the DC motor, recommend at least 3 ways on how to increase it angular velocity, and justify your answer. Fixed field R L Armature circuit indows bui انتقل إلى الإعدادت Rotor Figure 3

A common actuator in control systems is the DC motor. It directly provides rotary motion and, coupled with wheels or drums and cables, can provide transitional motion. The electric circuit of the armature and the free body diagram of the rotor are shown in figure 3. Determine the following. i. The differential equations from the electrical circuit and the mechanical part. ii. Convert the differential equations to state space representation. The output is the speed of the de motor dt ii. Given component values R=5 Ohms, L= 6H, J= 8 kg-m?, b=4 N-m s/rad, assuming back Emf constant and motor torque constant are equal Kb=Kt=K=10, determine its controllability of the DC motor. iv. Based on the performance of the DC motor, recommend at least 3 ways on how to increase it angular velocity, and justify your answer. Fixed field R L Armature circuit indows bui انتقل إلى الإعدادت Rotor Figure 3

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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A dc motor develops 5 N-m of torque at a speed of 75 rad/s when 10 volts are applied. It stalls out at this voltage with 10 N-m of torque. Find the transfer function, G(s) = 02(s)/E.(s). N = 10 ealt) Motor J =1 kg-m2 W= 10 N, = 20 J = 2 kg-m? J, = 2 kg-m- N= 20 D
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