Question 4 (Could be considered as Quiz 3- 4.5 pts). An armature-controlled DC motor of figure...
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...
otor shown below is controlled by the armature voltage va and load torque ease i ngular velocity w, and ts is the back-emf generated by op a model (first order differential equation) of armature current i in terms velop a model (irst order differential equation) of motor output speed w in terms ta and w as state variables, and va and Ti as inputs, write the state equations the motor. complete the following of motor output speed w and input...
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 =...
An armature-controlled dc motor operates at steady state, with an armature drive voltage va = 10 V. The motor runs at 600 rpm, and the armature current is found to be ia = 0.2 A. The armature resistance is Ra = 15 Ω. Determine: (a) The torque constant km of the motor (b) Electrical damping constant be (c) The efficiency under the given operating conditions, if the mechanical damping constant is bm = 8.25 × 10−5 N ⋅ m/rad/s (d)...
A motor drives a load requiring 0.006 N-m. Motor data is as follows: armature resistance, 4 ohms; applied voltage, 8 volts; torque constant (KT), 0.06 N-m/A; generating constant (KE), 0.0026 volts/rpm. Find the motor's running speed.
3. The figure shows a DC servomotor system. Assume that the armature inductance of the DC motor is negligible (it is not shown in the figure.) Obtain the transfer function between the output 02 and the input ea. (Hint: the motor torque T-Kia, and its back emf, es kvm) Gear 1 y constant Gear 2
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...
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...
A series of excitation DC motors have an armature winding resistance of 0.3 ohms, a field winding resistance of 0.1 ohms, a rotational speed of 650 rpm, a back emf is 120 V, and an armature current of 78 A. If the torque is constant, 0.6 ohms is connected in series with the armature, what is the speed of the motor after it is stabilized?
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...