INSTRUCTION: Round your answer to six decimal places, and round your answer to three decimal places for power factor. Show your complete solution and box your final answer. 1. A three-phase alternator has a nameplate rating of 10MVA, 4160V, 10%X and is connected to a step-up transformer T1 with a rating of 5MVA, 4.16kV/110kV, 20%X. The high voltage side of the transformer T1 is connected to a 40km transmission line with resistance of 0.1 ohm per phase and reactance of 1 ohm per phase. At the end of the transmission line, the transmission line is connected to a step-down transformer T2 with a rating of 5MVA, 110kV/34.5kV, 15%X. The low voltage side of transformer T2 is connected to a synchronous motor with a rating of IMVA, 34.5kV, 50%X. Neglecting 30-degree phase shift between phase and line voltage, if the voltage at the terminals of the synchronous motor is 34kV at 0.95 leading at full load, determine: a. the current at the HV side of transformer T1 in Amperes; b. back emf of the synchronous motor in kV; c. generated emf of the alternator in kV. d. the current at the LV side of transformer T1 in Amperes; e. terminal voltage of the alternator in kV.
INSTRUCTION: Round your answer to six decimal places, and round your answer to three decimal places for power factor. Show your complete solution and box your final answer. 1. A three-phase alternator has a nameplate rating of 10MVA, 4160V, 10%X and is connected to a step-up transformer T1 with a rating of 5MVA, 4.16kV/110kV, 20%X. The high voltage side of the transformer T1 is connected to a 40km transmission line with resistance of 0.1 ohm per phase and reactance of 1 ohm per phase. At the end of the transmission line, the transmission line is connected to a step-down transformer T2 with a rating of 5MVA, 110kV/34.5kV, 15%X. The low voltage side of transformer T2 is connected to a synchronous motor with a rating of IMVA, 34.5kV, 50%X. Neglecting 30-degree phase shift between phase and line voltage, if the voltage at the terminals of the synchronous motor is 34kV at 0.95 leading at full load, determine: a. the current at the HV side of transformer T1 in Amperes; b. back emf of the synchronous motor in kV; c. generated emf of the alternator in kV. d. the current at the LV side of transformer T1 in Amperes; e. terminal voltage of the alternator in kV.
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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Transcribed Image Text:INSTRUCTION: Round your answer to six decimal places, and round your
answer to three decimal places for power factor. Show your complete solution and
box your final answer.
1. A three-phase alternator has a nameplate rating of 10MVA, 4160V, 10%X and is
connected to a step-up transformer T1 with a rating of 5MVA, 4.16kV/110kV,
20%X. The high voltage side of the transformer T1 is connected to a 40km
transmission line with resistance of 0.1 ohm per phase and reactance of 1 ohm per
phase. At the end of the transmission line, the transmission line is connected to a
step-down transformer T2 with a rating of 5MVA, 110kV/34.5kV, 15%X. The low
voltage side of transformer T2 is connected to a synchronous motor with a rating of
IMVA, 34.5kV, 50%X. Neglecting 30-degree phase shift between phase and line
voltage, if the voltage at the terminals of the synchronous motor is 34kV at 0.95
leading at full load, determine:
a. the current at the HV side of transformer T1 in Amperes;
b. back emf of the synchronous motor in kV;
c. generated emf of the alternator in kV.
d. the current at the LV side of transformer T1 in Amperes;
e. terminal voltage of the alternator in kV.
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