Question

D.C. motor is shown below, where the inductance L and the resistance R model the armature circuit. The voltage Vbrepresents the back-emf which is proportional to dθ/dt via Kf. The torque T generated by the motor is proportional to the i via a constant Kt. In this application, let the constants Kt = Kf. The inertia J represents the combined inertia of the motor and load. The viscous friction acting on the output shaft is b. Attached to the shaft is a N1:N2 gear train that decreases the output velocity. There is no load on the motor. (Note: DO NOT neglect the electrical characteristics of the motor with relationship to the mechanical characteristics.)

For the transfer function Gp(s) , find the following parameters (if applicable):

  1. ξ
  2. ωn
  3. Settling Time TS
  4. %OS
  5. Rise Time Tr
  6. Peak Time Tp
  7. Is the Underdamped, Overdamped, critically damped? Why?
  8. Is there steady state error for this system shown?  

T. NI:N2 out e Vi imput + final be Rotor where K K

0 0
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Answer #1

Bock ennt V dt Lood Tor que dt01S OLS) 2 2し丁 L J L J 2. % toleranci Settling hme LJ L3 bl+ R丁 2. Cos e -1% ovey shoot f Peal time bp cod to-=-1 his is ondbed becovse amy mochine ure de motur stauts sitb Stable maintain the equilib

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