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A 3-phase, 440-V, 50-Hz motor delivers an output power of 40 kW. The efficiency and power factor of the motor for the above operating condition are 88% and 0.80 (lagging), respectively. (a) Determine the complex power drawn by the motor and draw the power triangle. (b) A 3-phase capacitor bank is added at the motor terminals to improve the power factor to 0.95 lagging. Determine the kVAr rating of the capacitor bank. What would be the capacitance per phase if the capacitor bank is (i) A-connected (ii) Y-connected? (c) If the motor is supplied through a cable having an impedance of (0.1+j0.3) /phase, determine the cable copper loss and voltage at sending-end of the cable before and after adding the capacitor bank. Assume that the motor terminal voltage remains constant at 440 V. [(a) (45.45+j34.1) kVA; (b) 19.2 kVAr, 105.2 µF, 315.8 µF; (c) 1.67 kW, 473.6 V, 1.18 kW, 461.2 V]

A 3-phase, 440-V, 50-Hz motor delivers an output power of 40 kW. The efficiency and power factor of the motor for the above operating condition are 88% and 0.80 (lagging), respectively. (a) Determine the complex power drawn by the motor and draw the power triangle. (b) A 3-phase capacitor bank is added at the motor terminals to improve the power factor to 0.95 lagging. Determine the kVAr rating of the capacitor bank. What would be the capacitance per phase if the capacitor bank is (i) A-connected (ii) Y-connected? (c) If the motor is supplied through a cable having an impedance of (0.1+j0.3) /phase, determine the cable copper loss and voltage at sending-end of the cable before and after adding the capacitor bank. Assume that the motor terminal voltage remains constant at 440 V. [(a) (45.45+j34.1) kVA; (b) 19.2 kVAr, 105.2 µF, 315.8 µF; (c) 1.67 kW, 473.6 V, 1.18 kW, 461.2 V]

Introductory Circuit Analysis (13th Edition)
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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3.1 A 3-phase, 440-V, 50-Hz motor delivers an output power of 40 kW. The efficiency and power factor of the motor for the above operating condition are 88% and 0.80 (lagging), respectively. (a) Determine the complex power drawn by the motor and draw the power triangle. (b) A 3-phase capacitor bank is added at the motor terminals to improve the power factor to 0.95 lagging. Determine the KVA rating of the capacitor bank. What would be the capacitance per phase if the capacitor bank is (i) A-connected (ii) Y-connected? (c) If the motor is supplied through a cable having an impedance of (0.1+j0.3) /phase, determine the cable copper loss and voltage at sending-end of the cable before and after adding the capacitor bank. Assume that the motor terminal voltage remains constant at 440 V. [(a) (45.45+j34.1) kVA; (b) 19.2 kVAr, 105.2 µuF, 315.8 µF; (c) 1.67 kW, 473.6 V, 1.18 kW, 461.2 V]
Transcribed Image Text:3.1 A 3-phase, 440-V, 50-Hz motor delivers an output power of 40 kW. The efficiency and power factor of the motor for the above operating condition are 88% and 0.80 (lagging), respectively. (a) Determine the complex power drawn by the motor and draw the power triangle. (b) A 3-phase capacitor bank is added at the motor terminals to improve the power factor to 0.95 lagging. Determine the KVA rating of the capacitor bank. What would be the capacitance per phase if the capacitor bank is (i) A-connected (ii) Y-connected? (c) If the motor is supplied through a cable having an impedance of (0.1+j0.3) /phase, determine the cable copper loss and voltage at sending-end of the cable before and after adding the capacitor bank. Assume that the motor terminal voltage remains constant at 440 V. [(a) (45.45+j34.1) kVA; (b) 19.2 kVAr, 105.2 µuF, 315.8 µF; (c) 1.67 kW, 473.6 V, 1.18 kW, 461.2 V]
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