QUESTION 1: Consider the DC motor below, with an armature resistance R, a mechanical inertia J, motor back-emf and torque constants Ke? and Kt?, and fed from a supply voltage va?(t). The transfer function for this motor can be shown to take the form: Va?(s)?(s)?=s?+1kDC?? Define the parameters kDC? and ? in terms of the DC motor parameters, R,J solutionspile.com

Question

student submitted image, transcription available below

QUESTION 1: Consider the DC motor below, with an armature resistance

R

, a mechanical inertia

J

, motor back-emf and torque constants

K_{e}

and

K_{t}

, and fed from a supply voltage

v_{a} (t)

. The transfer function for this motor can be shown to take the form:

\frac{? ( s )}{V _{a} ( s )} = \frac{k _{D C}}{s ? + 1}

Define the parameters

k_{D C}

and

?

in terms of the DC motor parameters,

R, J, K_{e}

and

K_{t}

. QUESTION 2: A servo motor with the first order transfer function defined in question 1 has parameters

k_{D C} = 80 rpm / V

and

? = 0.5 s

, and is placed under closed loop speed control with an integral controller of the form

H (s) = K_{I} / s

. Determine the gain constant required to achieve an overshoot of

25%

for a step command in the reference speed.

Accepted Answer

Expert Answer to -     QUESTION 1: Consider the DC motor below, with an armature resistance R, a mechanical inertia J,

Answer

Solution for -     QUESTION 1: Consider the DC motor below, with an armature resistance R, a mechanical inertia J,

Answer

This an additional answer to -     QUESTION 1: Consider the DC motor below, with an armature resistance R, a mechanical inertia J,

(Solved): QUESTION 1: Consider the DC motor below, with an armature resistance R, a mechanical inertia J, ...