obtain the state model of armature controlled DC motor
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A motor is an actuator, converting electrical energy in to rotational mechanical energy. Motor requiring DC supply for operation is termed as DC motor. DC motors are widely used in control applications like robotics, tape drives, machines and many more. Separately excited DC motors are suitable for control applications because of separate field and armature circuit. Two ways to control DC separately excited motors are:
1. Armature Control.
2. Field Control.
Modelling of armature control DC motor is discussed in the article.
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A armature-controlled DC motor has the characteristic equation LIs^2 + (RI + cL)s + (cR + K_b K_T) = 0 Using the following parameter values: K_b = K_T = 0.1 N middot/A I = 6 times 10^-5 kg middot m^2 R_a = 0.6 ohms L = 4 times 10^-3 H Obtain the expressions for the damping ratio zeta and undamped natural frequency W_n in terms of the damping c. Assuming that zeta < 1, obtain the expression for the time constant.