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3. The figure shows a DC servomotor system. Assume that the armature inductance of the DC...
Problem-5 (20 pts): Consider the DC servo motor shown in Figure-5. Assume that the input of the s...
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 =...
B-3-25 Consider the system shown in Figure 3-90. An armature-controlled de servomotor drives a lo...
B-3-25 Consider the system shown in Figure 3-90. An armature-controlled de servomotor drives a load consisting of the moment of inertia J. The torque developed by the motor is T. The moment of inertia of the motor rotor is Jm The angular displacements of the motor rotor and the load element areo,1, and θ, respectively. The gear ratio is 0/6,n. Obtain the transfer function θίη(s)/Eds). Figure 3-90 Armature-controliled de servomotor system.
B-3-25 Consider the system shown in Figure 3-90. An...
Q 1- 08 Pts) Figure below is a diagram of a DC motor connected in parnllel to a current source i,...
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...
Figure Q1(b) shows the simplified diagram of the armature controlled D.C. b) servomotors used in instruments...
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...
01- (08 Pts) Figure below is a diagram of a DC motor connected in parallel to...
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...
Answer Question B-3-13 above with the instructions listed B-3-13. Consider the system shown in Figure 3-42. An armature...
Answer Question B-3-13 above with the instructions listed
B-3-13. Consider the system shown in Figure 3-42. An armature-controlled dc servomotor drives a load consisting of the moment of inertia Ji. The torque developed by the motor is T.The moment of inertia of the motor rotor is J. The angular displacements of the motor rotor and the load er circuit Eo(s)/E(s) of the element are 0 and 0, respectively. The gear ratio is n 0/0m. Obtain the transfer function O(s)/E(s) L...
onsider a DC electric motor. Assume the armature inductance is negligible. Consider the harmature voltage ea...
onsider a DC electric motor. Assume the armature inductance is negligible. Consider the harmature voltage ea as the input and the angular displacement @t) as the ulput. By measuring an input and the system's response as functions of time, the transfer function is then found to be 10s(s +1) What are the motor time-constant and the motor gain? a. b. iIt the input is 2 u(l), find the output i.e. the angular displacement et) c. Find the angular speed o(t)
Question 4 (Could be considered as Quiz 3- 4.5 pts). An armature-controlled DC motor of figure...
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,...
2. (20 points) A field controlled DC motor model is given below where eaſt) is an...
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...
Consider the DC motor-driven wheeled mobile robot shown in figure, in which m is the mass...
Consider the DC motor-driven wheeled mobile robot shown in figure, in which m is the mass of the wheeled mobile robot, r is the radius of the driving wheel, and T is the torque delivered to the wheeled mobile robot by the DC motor. For simplicity, the motion is restricted to one spatial dimension. The figure also shows the simplified drive system, including the equivalent electrical circuit of the DC motor, the gears, and the driving wheel. The motor parameter...
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 =...
B-3-25 Consider the system shown in Figure 3-90. An armature-controlled de servomotor drives a load consisting of the moment of inertia J. The torque developed by the motor is T. The moment of inertia of the motor rotor is Jm The angular displacements of the motor rotor and the load element areo,1, and θ, respectively. The gear ratio is 0/6,n. Obtain the transfer function θίη(s)/Eds). Figure 3-90 Armature-controliled de servomotor system.
B-3-25 Consider the system shown in Figure 3-90. An...
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...
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...
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...
Answer Question B-3-13 above with the instructions listed
B-3-13. Consider the system shown in Figure 3-42. An armature-controlled dc servomotor drives a load consisting of the moment of inertia Ji. The torque developed by the motor is T.The moment of inertia of the motor rotor is J. The angular displacements of the motor rotor and the load er circuit Eo(s)/E(s) of the element are 0 and 0, respectively. The gear ratio is n 0/0m. Obtain the transfer function O(s)/E(s) L...
onsider a DC electric motor. Assume the armature inductance is negligible. Consider the harmature voltage ea as the input and the angular displacement @t) as the ulput. By measuring an input and the system's response as functions of time, the transfer function is then found to be 10s(s +1) What are the motor time-constant and the motor gain? a. b. iIt the input is 2 u(l), find the output i.e. the angular displacement et) c. Find the angular speed o(t)
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,...
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...
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