Part A: Calculation 1- An open-loop DC motor shown in Figure 1. Derive the transfer functions e(s) N(s) and Ea(s) where 0(s) = L(0(t)), N(s) = L(w(t)) and E (s) = L(ea(t)) 2- Find the steady state error in both the position and the speed if the input voltage is 10u(t), and the motor parameters are: La = 10 mH, Ra = 0.5 N, Ja +JL = 3 × Ea(s) %3D %3D 10-4 N.m.sec? rad , Da = 3 x 10-3 N.m.sec/rad and K = Kp = K = 0.1 N. m/A 3- If the motor is subjected to a step torque disturbance of amplitude 0.3, calculate the steady state speed in this case.

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Part A: Calculation
1- An open-loop DC motor shown in Figure 1. Derive the transfer functions
e(s)
and
E.(s)
n(s)
where 0(s) = L(0(t)), N(s) = L(@(t)) and Ea(s) = L(ea(t))
2- Find the steady state error in both the position and the speed if the input voltage is
10u(t), and the motor parameters are: La = 10 mH, Ra = 0.5 0, Ja +JL = 3 x
%3D
10-4
N.m.sec²
Da = 3 x 10-N.m. sec/rad and K, = K, = K = 0.1 N.m/A
%3D
rad
3- If the motor is subjected to a step torque disturbance of amplitude 0.3, calculate the
steady state speed in this case.
%3Dconstant
R.
L,
mm
ww.
Ja
ea(t)
HH
DA
M.
K=0
Fig. 1
Transcribed Image Text:Part A: Calculation 1- An open-loop DC motor shown in Figure 1. Derive the transfer functions e(s) and E.(s) n(s) where 0(s) = L(0(t)), N(s) = L(@(t)) and Ea(s) = L(ea(t)) 2- Find the steady state error in both the position and the speed if the input voltage is 10u(t), and the motor parameters are: La = 10 mH, Ra = 0.5 0, Ja +JL = 3 x %3D 10-4 N.m.sec² Da = 3 x 10-N.m. sec/rad and K, = K, = K = 0.1 N.m/A %3D rad 3- If the motor is subjected to a step torque disturbance of amplitude 0.3, calculate the steady state speed in this case. %3Dconstant R. L, mm ww. Ja ea(t) HH DA M. K=0 Fig. 1
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