Otor shown below is controlled by the armature voltage va and load torque ease i ngular velocity ...
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)...
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...
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...
Question 4 (Could be considered as Quiz 3- 4.5 pts). An armature-controlled DC motor of figure below has the following characteristics: Ra=1.2 ohms, L. - 0, KT = 0.06 N-m/A (motor-torque constant), K = 0.06 V-s/rad (back-emf constant). It has maximum speed of 500 rad's with a maximum current of 2 A. We suppose that all possible frictions are represented in friction torque Tr=0.012N-m. R: armature resistance, 2 La armature inductance, H is : armature current, A is: field current,...
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 =...
Question 3: DC motors can be simplistically modeled as shown in Figure 5 MoTor back emf Vi: +1 Resistor Ra Ia Figure 5: Simplified model of DC Motor (a) Write the three characteristic equations that determine the behavior of the DC motor. Denote torque constant and speed constant as Ka, K, respectively. (b) Motor parameters are the quantities that define the behavior of the motor. List the motor parameters from the described model. What are their units? (c) For given...
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...
The questions are at the bottom. I posted this previously without the information at the top and the answer was missing some key information. Consider the electromechanical dynamic system shown in Figure 1(a). It consists of a cart of mass m moving without slipping on a linear ground track. The cart is equipped with an armature-controlled DC motor, which is coupled to a rack and pinion mechanism to convert the rotational motion to translation and to create the driving force...
A separately excited DC motor has the following data P=32kW (rated power); Va=220V (rated voltage); Ia=171A (rated curent); n=1000 rpm (rated speed); Ra = 0.096 ohm a.Calculate the armature voltage to reduce the speed to 900 rpm, assuming the load torque is kept constant? b.Calculate the resistance should be added to armature circuit to reduce the speed to 800 rpm, assuming the load torque is kept constant? c.Calculate the reduction of magnetic flux to reach the speed of 1100 rpm,...
(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...