480 V, 200 kVA, 08 PF lagging, 60 Hz two pole Y connected
synchronous generator has a synchronous reactance of 0.25 Ω and an
armature resistance of 0.03 Ω. At 60 Hz, its friction and windage
losses are 6 kW, and its core losses are 4 kW. The field circuit
has a dc voltage of 200 V, and the maximum IF is 10 A. The
resistance of the field circuit is adjustable over the range from
20 to 200 Ω. The OCC of the generator is shown in figure
a. How much the field current is required to make VT equal to
480 V when the generator is running at no load? [4.55 A]
b. What the internal generated voltage of this machine at
rated conditions? [322 @ 7.8°]
c. How much the field current is required to make VT equal to
480 V when the generator is running at rated conditions? [558
V]
d. How much power and torque must the generator’s prime mover
be capable of supplying? [175.2 kW, 465 Nm]
e. Assume that the field current of the generator is adjusted
to achieve rated voltage (480 V) at full load conditions in each of
the questions below.
1. What is the efficiency of the generator at rated load?
[91.3%]
2. What is the voltage regulation of the generator if it is
loaded to rated kilovoltamperes with 0.8-PF lagging loads?
[16.2%]
3. What is the voltage regulation of the generator if it is
loaded to rated kilovoltamperes with 0.8-PF leading loads?
[-9.0%]
4. What is the voltage regulation of the generator if it is
loaded to rated kilovoltamperes with unity power-factor loads?
[5.1%]
f. Assume that the field current of the generator in Problem
5-2 has been adjusted so that it supplies rated voltage when loaded
with rated current at unity power factor. (You may ignore the
effects of RA when answering these questions.)
1. What is the torque angle δ of the generator when supplying
rated current at unity power factor? [12°]
2. What is the maximum power that this generator can deliver
to a unity power factor load when the field current is adjusted to
the current value? [941 kW]
3. When this generator is running at full load with unity
power factor, how close is it to the static stability limit of the
machine? [196 kW]
4. Plot the torque angle δ as a function of the power supplied
by the generator for these conditions.
3. A 3-phase 50-Hz star-connected 2000-kVA, 2300 V