Q23. What will be the current drawn (in Amp) and torque angle of a 3-phase, Y-connected, 50 Hz, 440 V, 4-poles, 100 hp, cylindrical rotor synchronous motor which is operating at rated conditions and 0.80 power factor leading? The efficiency, excluding field and stator losses is 92% and the synchronous reactance is 1.8 Ohm per phase. (a) 159.73 & 30.68° (b) 206.51& -33.81° (c) 141.13 & 36.86° (d) 132.56 & -25.66°

Q23. What will be the current drawn (in Amp) and torque angle of a 3-phase, Y-connected, 50 Hz, 440 V, 4-poles, 100 hp, cylindrical rotor synchronous motor which is operating at rated conditions and 0.80 power factor leading? The efficiency, excluding field and stator losses is 92% and the synchronous reactance is 1.8 Ohm per phase. (a) 159.73 & 30.68° (b) 206.51& -33.81° (c) 141.13 & 36.86° (d) 132.56 & -25.66°

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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The equivalent circuit parameters of a 230-V, 1-phase, 6-pole, 60-Hz induction motor are: R1 = R2’ =10ohm, X1 = X2’ = 10ohm, and Xm = 100ohm. At a slip of 5%, calculate the developed torque and The input power to the motor at 230V, while running on no-load, is 31.4 W at 1.2 A. What is the approximate efficiency of the motor at 5% slip?
Please show a complete solution to the problem 4. A three-phase, 20-hp, 60-Hz, 2300-V, 600 r/min, salient-pole synchronous motor has direct-axis and quadrature-axis reactances equal to 39.56 Ohms/phase and 23.33 Ohms/phase, respectively. Neglecting losses, determine the developed torque if the field current is adjusted so that the excitation voltage is equal to 2.1 times the applied stator voltage, and the power angle is -17º. Give your final answer in 2 decimal places. Correct Answer: 1,268.55 ± 0.01
A 1000-V, 3-phase, 2-pole, Y-connected synchronous motor runs at 750 r.p.m. The excitation is constant and corresponds to an Open-circuit terminal voltage of 1000 V. The resistance is negligible as compared with synchronous reactance of 1.5Ω per phase. Determine the power input, power factor and torque developed for an armature current of 100 A.
(b) A three phase, 5-hp, 60Hz, 115V, 4-pole induction motor is operating at rated voltage, rated frequency, and 125 percent rated load has an efficiency of 85.4 percent. The stator conductor loss, rotor copper loss and core loss are 223.2W, 153W, and 114.8W respectively. Sketch the power flow diagram, enter the given data, and determine i) shaft speed ii) shaft torque
Please show a complete solution to the problem 7. A 100-hp, three-phase, wye-connected, 50-Hz, 450-V, four-pole, cylindrical-rotor synchronous motor is operating at rated conditions and 80 percent power-factor leading. The efficiency, excluding field and stator losses, is 91 percent, and the synchronous reactance is 3.55 Ohms/phase. Determine the magnitude of the excitation voltage in volts. Give your final answer in 2 decimal places. Correct Answer: 656.39 ± 0.01
1.1. A 3-phase, 10 MVA, Salient Pole, Synchronous Motor is run off an 11 kV supply at 50Hz. The machine has Xd = 0.8 pu and Xq = 0.4 pu (using the Machine Rating as the base). Neglect the rotational losses and Armature resistance. Calculate 1.1.1. The maximum input power with no field excitation. 1.1.2. The armature current (in per unit) and power factor for this condition.
Please show a complete solution to the problem 2. A 100-hp, three-phase, wye-connected, 50-Hz, 470-V, four-pole, cylindrical-rotor synchronous motor is operating at rated conditions and 86 percent power-factor leading. The efficiency, excluding field and stator losses, is 97 percent, and the synchronous reactance is 3.54 Ohms/phase. Determine the developed torque in lb-ft. Give your final answer in 2 decimal places. Correct Answer: 360.96 ± 0.01
A three phase, 5-hp, 60Hz, 115V, 4-pole induction motor is operating at rated voltage, rated frequency, and 125 percent rated load has an efficiency of 85.4 percent. The stator conductor loss, rotor copper loss and core loss are 223.2W, 153W, and 114.8W respectively. Sketch the power flow diagram, enter the given data, and determine i) shaft speed ii) shaft torque
A three phase, 5-hp, 60Hz, 115V, 4-pole induction motor is operating at rated voltage, rated frequency, and 125 percent rated load has an efficiency of 85.4 percent. The stator conductor loss, rotor copper loss and core loss are 223.2W, 153W, and 114.8W respectively.Sketch the power flow diagram, enter the given data, and determine i) shaft speed ii) shaft torque
The full load slip of a 4-pole, 60Hz, 440V (line-to-line) three phase induction motor is 0.05. (i). What is the speed of the rotating stating? What is the frequency (in Hz) of the rotor current? (ii). When the output power of the motor is 90 hp at a speed of 1732 rmp, rotational losses (which include frictional and core losses) are 10,100W, while copper losses for both the rotor and stator total 3700W. Determine the motor efficiency and line current, assuming the motor has a 0.8pf lagging under the conditions.
A 3000 V, 3 phase synchronous motor running at 1500 rpm, has its excitation kept constantcorresponding to no load terminal voltage of 3000 V. Determine the power input, powerfactor and torque developed for the armature current of 250 A if the synchronous reactance is 5ohm per phase and armature resistance is neglected.
Please show a complete solution to the problem 5. A 110-hp, three-phase, wye-connected, 50-Hz, 440-V, four-pole, cylindrical-rotor synchronous motor is operating at rated conditions and 80 percent power-factor leading. The efficiency, excluding field and stator losses, is 96 percent, and the synchronous reactance is 3.43 Ohms/phase. Determine the pull-out torque of the motor in lb-ft. Give your final answer in 2 decimal places. Correct Answer: 693.61 ± 0.01