Texts:
I) Given a 24 V DC permanent magnet motor with Ra = 227.9 mΩ and Kv = 0.125 Vs/a) Sketch the electromagnetic torque (Te) versus speed (ω on the x-axis) characteristic. Calculate the y-intercept, x-intercept, and slope. b) If Tload = 250e^-6 ω^2 Nm/s^2 and Tloss is negligible, what is the steady-state operating speed and the armature current? c) What is the efficiency at this operating point?
II) We wish to reduce the speed of the motor above to half its current value by adjusting the armature voltage. a) Find the load torque at this speed. b) Find the new armature current. c) Find the required applied voltage at the input of the motor. d) What is the efficiency at this operating point?
Name:
Section
EE331: Problem Set 13, Worksheet 4
Problem 1: Given a 24 V DC permanent magnet motor with Ra = 227.9 mΩ and Kv = 0.125 Vs, a. Sketch the electromagnetic torque (Te) versus speed (ω on the x-axis) characteristic. Calculate the y-intercept, x-intercept, and slope. Ans. y-int = 13.1637 Nm, x-int = 192 rad/s, slope = -0.06856 b. If Tload = 250e^-6 Nm/s^2 and Tloss is negligible, what is the steady-state operating speed and the armature current? Ans. ω = 130.1 rad/s, I = 33.85 A c. What is the efficiency at this operating point? Ans. n = 67.8%
Problem 2: We wish to reduce the speed of the motor above to half its current value by adjusting the armature voltage. a. Find the load torque at this speed. Ans. Tot = 1.058 Nm b. Find the new armature current. Ans. I = 8.44 A c. Find the required applied voltage at the input of the motor. Ans. V = 10.1 V d. What is the efficiency at this operating point? Ans. n = 80.9%