Homework 7
Chapter 6 Synchronous Motors
1. A 2300 V, 1000 hp. 0.8 PF leading, 60 Hz, two poles, Y-connected synchronous
motor has a synchronous reactance of 2.8 Ω and an armature resistance of 0.4 Ω. At
60 Hz, its friction and windage losses are 24 kW, and it’s core losses are 18 kW. The
filed circuit has a dc voltage of 200 V, and the maximum I F is 10 A. The open circuit
characteristic of this motor is shown in below Figure.
Answer the following questions about the motor, assuming that it is being supplied by
an infinite bus.
(a) How much field current would be required to make this machine operate at unity
power factor when supplying full load?
(b) What is the motor’s efficiency at full load and unity power factor?
(c) If the filed current were increased by 5 percent, what would the new value of the
armature current be? What would the new power factor be? How much reactive
power is being consumed or supplied by the motor?
(d) What is the maximum torque this machine is theoretically capable of supplying at
unity power factor? At 0.8 PF leading?
2. A 480 V, 100 kW, 50 Hz, four pole, Y connected synchronous motor has a rated power
factor of 0.85 leading. At full load, the efficiency is 91 percent. The armature resistance
is 0.25 Ω, and the synchronous reactance is 4.4 Ω. Find the following quantities for this
machine when it is operating at full load:
(a) Output torque
(b) Input power
(c) nm
(d) E A
(e) I A
(f) Pconv
(g) Pmech + Pcore + Pstray