An armature controlled d.c motor is supplied in series with a resistance from a 24 d.c. supply. The motor takes a current of 5A on stalling and the stalling torque being 0.915 N-m. The motor runs at 1000rpm taking a current of 1 A. The moment of inertia and coefficient of viscous friction are 4 x 10^3 kg-m^2 and 1.5 x 10^-3 Nm/(rad/sec) respectively. Determine the transfer function of the motor
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 =...
Obtain the Simulink diagram of position control system shown in figure 1 and run the simulation. Assume the following numerical values for system constants:r = angular displacement of reference input shaft, radiansc = angular displacement of the output shaft, radiansθ = angular displacement of the motor shaft, radiansk1 = gain of the potentiometer error detector = 24/π volt/radkp = amplifier gain = 10 volt/voltea = applied armature voltage, volteb = back emf, voltRa = armature resistance, ohmsLa = armature winding...
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...
The speed of a separately excited de motor is controlled by a one-phase full-wave converter. The field circuit is also controlled by a full-wave converter and the field current is set to its maximum value. The AC supply voltage to the armature and field converters is one-phase, 400V, 50Hz. The armature resistance Ra 0.232, the field circuit resistance Rf- 1812, and the motor voltage constant is Kv 1.3V/A - rad/s. The armature current corresponding to the load demand Ia 42A...
(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...
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sure.
The DC machine, which has the armature resistance Ra=0.12, shunt field winding resistance Rfw=8022 and control rheostat (Rfc), is connected to a 100V DC power supply and operated at a DC shunt motor. At no-load condition, the motor runs at 1000rpm and armature takes 6A. The magnetization curve of the machine at 1000rpm is shown in the Fig. 1. 120 ,...
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,...
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...
A separately excited dc motor controlled by a 3 phase full wave fullcontrolled converter connected to the armature and field circuits. the acsupply voltage is 208v and the frequency is 60 Hz. If the field currentadjusted to If =1 A and the armature resistance Ra = 0.2 Ω ,the fieldresistance Rf = 250 Ω and the voltage constant K = 1.2V/A-rad/sec. The loadtorque TL=120 Nm and The firing angle of the armeture circuit adjusted tobe αa=30. Consider armature inductance La...