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
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Publisher:Sadiku, Matthew N. O.
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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
Transcribed Image Text: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
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