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Homework problem: The per-phase equivalent circuit parameters of a 400 V, 33 kW, 60 Hz, star-connected, 4 pole, 1755 rpm 3-0 IM are: R1= 0.2 Q, X1= j0.5 Q, Xm= j20 Q, R½ = (windage and friction) are 650 W and iron losses are 300 W, determine the following when the motor operates at full load at rated speed: (a) The synchronous speed. (b) The slip. (c) The input current and power factor. (d) The input power. (e) The useful mechanical power. (f) The output torque. (g) The motor efficiency. = 0.1 N , X½ = 0.2 Q. If the mechanical losses Answers: (a) 1800 rpm; (b) 0.025; (c) Iş = 57.34 – 21°, 0.93 lag; (d) 36918 W; (e) 33 kW; (f) 179.6 Nm; and (g) 89.4%

Homework problem: The per-phase equivalent circuit parameters of a 400 V, 33 kW, 60 Hz, star-connected, 4 pole, 1755 rpm 3-0 IM are: R1= 0.2 Q, X1= j0.5 Q, Xm= j20 Q, R½ = (windage and friction) are 650 W and iron losses are 300 W, determine the following when the motor operates at full load at rated speed: (a) The synchronous speed. (b) The slip. (c) The input current and power factor. (d) The input power. (e) The useful mechanical power. (f) The output torque. (g) The motor efficiency. = 0.1 N , X½ = 0.2 Q. If the mechanical losses Answers: (a) 1800 rpm; (b) 0.025; (c) Iş = 57.34 – 21°, 0.93 lag; (d) 36918 W; (e) 33 kW; (f) 179.6 Nm; and (g) 89.4%

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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Homework problem: The per-phase equivalent circuit parameters of a 400 V, 33 kW, 60 Hz, star-connected, 4 pole, 1755 rpm 3-0 IM are: R1= 0.2 Q, X1= j0.5 2, Xm= j20 N, R'2 = 0.1 2 , X2 = 0.2 N. If the mechanical losses (windage and friction) are 650 W and iron losses are 300 W, determine the following when the motor operates at full load at rated speed: (a) The synchronous speed. (b) The slip. (c) The input current and power factor. (d) The input power. (e) The useful mechanical power. (f) The output torque. (g) The motor efficiency. Answers: (a) 1800 rpm; (b) 0.025; (c) I, = 57.34 – 21°, 0.93 lag; (d) 36918 W; (e) 33 kW; (f) 179.6 Nm; and (g) 89.4%
Transcribed Image Text:Homework problem: The per-phase equivalent circuit parameters of a 400 V, 33 kW, 60 Hz, star-connected, 4 pole, 1755 rpm 3-0 IM are: R1= 0.2 Q, X1= j0.5 2, Xm= j20 N, R'2 = 0.1 2 , X2 = 0.2 N. If the mechanical losses (windage and friction) are 650 W and iron losses are 300 W, determine the following when the motor operates at full load at rated speed: (a) The synchronous speed. (b) The slip. (c) The input current and power factor. (d) The input power. (e) The useful mechanical power. (f) The output torque. (g) The motor efficiency. Answers: (a) 1800 rpm; (b) 0.025; (c) I, = 57.34 – 21°, 0.93 lag; (d) 36918 W; (e) 33 kW; (f) 179.6 Nm; and (g) 89.4%
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