D.C. motor is shown below, where the inductance L and the resistance R model the armature circuit. The voltage V_{b}represents the back-emf which is proportional to dθ/dt via K_{f}. The torque T generated by the motor is proportional to the i via a constant K_{t}. In this application, let the constants K_{t} = K_{f}. 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):
D.C. motor is shown below, where the inductance L and the resistance R model the armature...
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 Jrepresents the combined inertia of the motor and load. The viscous friction acting on the output shaft is b. Attached to the shaft is...
(30 pts) A D.C. motor is shown below, where the inductance L and the resistance R model the armature circuit. The voltage Vb represents the back-emf which is proportional to dθ/dt via K. The torque T generated by the motor is proportional to the i via a constant K. The inertia J represents the combined inertia of the motor and load. The viscous friction acting on the output shaft is B 1. pur voltaop a. A. (10 pts) Find the...
Figure Q1(b) shows the simplified diagram of the armature controlled D.C. b) servomotors used in instruments and employed a fixed permane nt magnet field. The control signal is app lied to the amature terminals. The inductance of armature winding is negligible. Obtain the transfer function of the servo mot or (assume K, K, and K, are constant) i) (10marks) Derive a state spa ce model for the servomotor (armature resistance is 0.2) (5marks) i) La Fixed field (if) Ra ww00...
Problem-5 (20 pts): Consider the DC servo motor shown in Figure-5. Assume that the input of the system is the applied armature voltage ea and the output is the load shaft position θ2. Assume also the following numerical values for the components: Ra-) Armature winding resistance = 0.2Ω La → Armature winding inductance = 0.1 mH Kb-) Back emf constant 0.05 Vs/rad K > Motor torque constant 0.06 Nm/A Jr Moment of inertia of the rotor of the motor =...
2. (20 points) A field controlled DC motor model is given below where eaſt) is an applied input voltage, ia(t) is the armature current, Ra and La are the armature resistance and inductance, respectively, e(t) is a back (or counter) emf (electro-motive force) le (t) = K w here K is a motor (torque) constant, t(t) is the torque generated by the motor, w(t) is the angular velocity, 0(t) is the angular position, J represents the rotor inertia and load...
Q 1- 08 Pts) Figure below is a diagram of a DC motor connected in parnllel to a current source i,. The torque and back-EMF constants of the motor are Ko K respectively, the motor resistance is R, also modeled as connected in parallel, the motor inertia is 1- (not shown), and the motor inductance is negligible. The motor load is an inertia J with compliance (stiffness) K and viscous friction coefficient b, and it is attached a gear pair...
01- (08 Pts) Figure below is a diagram of a DC motor connected in parallel to a current source is the torque and back-EMF constants of the motor are K. K respectively, the motor resistance is R, also modeled as connected in parallel, the motor inertia is I. (not shown), and the motor inductance is negligible. The motor load is an inertia compliance (stiffness) K and viscous friction coefficient b, and it is attached to the motor via a gear...
Problem 2: (30 points) A mode ontrolled DC motor is she l or is shown below. The em 2: (30 points) A model of an armature contro aller, here modeled as a rigid body with mass load attached to the rotor of the motor is a prope is transmitted to the propeller through a shaft moment of inertia IL. The rotation of the rotor with torsional damping constant br. The proper eller motion generate a further load TL due to...
The simplified diagram of a DC motor is shown in Fig. 4. Assume that the rotor has inertia m J and viscous friction coefficient Bm. The torque developed by the motor is assumed to be related linearly to the field current by , m m f T K i where the motor torque constant m f a K K K I 1 when the armature current a i is assumed constant (i.e. ) a a i I...
8 bbe KA PC Useful Equations Voltage generation via ro DC Output Torque Va Ky R Parameters R-4 N-m-sec ba -0.05 N-m-sec kx 0.5 N/m Kv 0.7 volt-soc L,-0.1 Henry Rotor polar moment of inertia Rotor damping coefficient Rotor spring constant Rotor e.m.f constant KE 0.1 volt-sec JC-0.2 N-m-see Kt-0.5 N-m/amp boc 0.05 N-m-soc BpC 0.03 N-m-sec koc 0.5 Nm Armature resistance Back e.m.f constant DC motor polar moment of inertia DC motor torque constant DC motor damping coefficient Viscous...