3) The single-line diagram of a three-phase system is given in Figure 3. The three-phase generator is rated 4160 kVA, 2.4 kV, and 1000 A. The three-phase transformer T1 is rated 6000 kVA, 2.4Y/24Y kV, with leakage reactance of 0.04 pu. Transformer T2 is made up of three single-phase transformers and is rated 4000 kVA, 24Y/12Y kV, with leakage reactance of 0.04 pu. The load draws 2000KVA with 0.8 PF leading at 12kV. Assume that the line length between the two transformers is negligible. Select a base power value and base voltages DIFFERENT than the ratings of the equipment. Determine the following for all three circuits, 2.4-, 24-, and 12-kV circuits: (a) Base impedance values (b) Base current values (c) Per-unit and actual current values (neglect magnetizing currents in transformers and charging currents in lines) (d) Per-unit and actual voltage values at buses 1, 2, and 4 (e) Per-unit and actual apparent power values at buses 1, 2, and 4 24 kV N1 N2 2.4 kV 24 kV 12 kV N2 N1 Load T1 T2 Figure 3

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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3) The single-line diagram of a three-phase system is given in Figure 3. The three-phase generator is
rated 4160 kVA, 2.4 kV, and 1000 A. The three-phase transformer T1 is rated 6000 kVA, 2.4Y/24Y kV,
with leakage reactance of 0.04 pu. Transformer T2 is made up of three single-phase transformers and
is rated 4000 kVA, 24Y/12Y kV, with leakage reactance of 0.04 pu. The load draws 2000KVA with 0.8
PF leading at 12kV. Assume that the line length between the two transformers is negligible. Select a
base power value and base voltages DIFFERENT than the ratings of the equipment.
Determine the following for all three circuits, 2.4-, 24-, and 12-kV circuits:
(a) Base impedance values
(b) Base current values
(c) Per-unit and actual current values (neglect magnetizing currents in transformers and charging
currents
in lines)
(d) Per-unit and actual voltage values at buses 1, 2, and 4
(e) Per-unit and actual apparent power values at buses 1, 2, and 4
24 kV
N1 N2
2.4 kV
24 kV
12 kV
N2 N1
Load
T1
T2
Figure 3
Transcribed Image Text:3) The single-line diagram of a three-phase system is given in Figure 3. The three-phase generator is rated 4160 kVA, 2.4 kV, and 1000 A. The three-phase transformer T1 is rated 6000 kVA, 2.4Y/24Y kV, with leakage reactance of 0.04 pu. Transformer T2 is made up of three single-phase transformers and is rated 4000 kVA, 24Y/12Y kV, with leakage reactance of 0.04 pu. The load draws 2000KVA with 0.8 PF leading at 12kV. Assume that the line length between the two transformers is negligible. Select a base power value and base voltages DIFFERENT than the ratings of the equipment. Determine the following for all three circuits, 2.4-, 24-, and 12-kV circuits: (a) Base impedance values (b) Base current values (c) Per-unit and actual current values (neglect magnetizing currents in transformers and charging currents in lines) (d) Per-unit and actual voltage values at buses 1, 2, and 4 (e) Per-unit and actual apparent power values at buses 1, 2, and 4 24 kV N1 N2 2.4 kV 24 kV 12 kV N2 N1 Load T1 T2 Figure 3
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