A 2500 V, 1000 kVA, 0.85 power factor (PF) lagging, four-pole, A-connected synchronous generator has a synchronous reactance of 1.2 Q and an armature resistance of 0.15 Q. At 60 Hz, its friction and windage losses are 25 kW, and its core losses are 17 kW. The field circuit has a DC voltage of 220 V, and the maximum If is 10 A. The resistance of the field circuit is adjustable over the range from 22 to 220 N. The Open Circuit Characteristic (OCC) of this generator is shown in Figure Q1(a). (a) (i) Calculate the internal generated voltage, Ea of this machine at rated conditions. (ii) Determine the required field current to make Vr equal to 2500 V when the generator is running at rated conditions. (iii) If this machine is operating at rated conditions, determine the input torque, TAPP that must be applied to the shaft of this generator?

A 2500 V, 1000 kVA, 0.85 power factor (PF) lagging, four-pole, A-connected synchronous generator has a synchronous reactance of 1.2 Q and an armature resistance of 0.15 Q. At 60 Hz, its friction and windage losses are 25 kW, and its core losses are 17 kW. The field circuit has a DC voltage of 220 V, and the maximum If is 10 A. The resistance of the field circuit is adjustable over the range from 22 to 220 N. The Open Circuit Characteristic (OCC) of this generator is shown in Figure Q1(a). (a) (i) Calculate the internal generated voltage, Ea of this machine at rated conditions. (ii) Determine the required field current to make Vr equal to 2500 V when the generator is running at rated conditions. (iii) If this machine is operating at rated conditions, determine the input torque, TAPP that must be applied to the shaft of this generator?

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Three Phase Induction Motor

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Question

A 2500 V, 1000 kVA, 0.85 power factor (PF) lagging, four-pole, A-connected
synchronous generator has a synchronous reactance of 1.2 Q and an armature
resistance of 0.15 Q. At 60 Hz, its friction and windage losses are 25 kW, and its core
losses are 17 kW. The field circuit has a DC voltage of 220 V, and the maximum If is
10 A. The resistance of the field circuit is adjustable over the range from 22 to 220 N.
The Open Circuit Characteristic (OCC) of this generator is shown in Figure Q1(a).
Q1
(a)
(i)
Calculate the internal generated voltage, EA of this machine at rated
conditions.
(ii)
Determine the required field current to make Vr equal to 2500 V when the
generator is running at rated conditions.
If this machine is operating at rated conditions, determine the input torque,
TAPP that must be applied to the shaft of this generator?
(iii)
(iv)
Calculate the efficiency of the generator.

3000
2750
2500
2250
2000
1750
1500
1250
1000
750
500
250
0.0
1.0
2.0
3.0
4.0
5.0
6.0
7.0
8.0
9.0
10.0
Field current, A
Figure Q1(a)
Open-circuit teminal voltage, V

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A 350 V, 50 Hz, Y-connected, eight poles synchronous generator has the OCC given in tabular form below (Phase Voltage versus the field current). The generator has a per-phase synchronous reactance of 3.2 Q, and an armature resistance of 0.6 Q. The machine supplies a 20 KVA load, at 0.8 PF lagging. How much field current must be supplied to the generator to keep the terminal voltage at 350 V? EA. (V) 65 125 260 290 320 350 380 420 450 470 IF, (A) 0.00 0.5 1.0 2.0 2.25 2.55 2.7 3.0 3.7 4.1 4.25 Select one: O a. If = 2.7 A O b. IF = 2.25 A O c. None O d. Ip = 2.55 A Clear my choice