A DC motor drive dynamic can be expressed as follows: J=Te-Bw-T₁ and the variable torque produced is Te = krpia where kr is a torque constant, is flux level, i, is armature current, T, is load torque and B is the viscous friction constant. J is the motor inertia and w is the motor rotational speed. The motor has an armature current control loop that is designed to have a first-order system

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With the aid of appropriate diagram, describe how the application of
estimation of back emf can simplify the model of DC drive armature current
loop if the power converter dynamics are much faster than the armature
circuit. (Also state the required assumptions need to be established)
(ii) Figure Q.2 shows a speed profile of a DC motor with the parameters given
in Table Q.2. Assume the motor runs under no-load condition, sketch the
torque developed by the motor. Also, find the maximum armature current
produced.
(10)
(rad/sec)
60
0
10
J
kg
KT
PARAMETERS
B
40
Figure Q.2
dt
Table Q.2
50
VALUES
5 Nm/rad/sec
25 kgm
10.0V/rad/s
10 Nm/A
(b) A DC motor drive dynamic can be expressed as follows:
= T₂ - Bw-T₁
t
(sec)
and the variable torque produced is Te = krpia where kr is a torque constant, is
flux level, iis armature current, T, is load torque and B is the viscous friction
constant. J is the motor inertia and wo is the motor rotational speed. The motor has
an armature current control loop that is designed to have a first-order system
Transcribed Image Text:With the aid of appropriate diagram, describe how the application of estimation of back emf can simplify the model of DC drive armature current loop if the power converter dynamics are much faster than the armature circuit. (Also state the required assumptions need to be established) (ii) Figure Q.2 shows a speed profile of a DC motor with the parameters given in Table Q.2. Assume the motor runs under no-load condition, sketch the torque developed by the motor. Also, find the maximum armature current produced. (10) (rad/sec) 60 0 10 J kg KT PARAMETERS B 40 Figure Q.2 dt Table Q.2 50 VALUES 5 Nm/rad/sec 25 kgm 10.0V/rad/s 10 Nm/A (b) A DC motor drive dynamic can be expressed as follows: = T₂ - Bw-T₁ t (sec) and the variable torque produced is Te = krpia where kr is a torque constant, is flux level, iis armature current, T, is load torque and B is the viscous friction constant. J is the motor inertia and wo is the motor rotational speed. The motor has an armature current control loop that is designed to have a first-order system
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