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1. A 3-phase, 115-volt induction motor has the following constants : R, = 0.07 Q ; R,' = 0.08 2, X, = 0.4 2 and X,' = 0.2 2. All the values are for one phase only. At which slip the gross power output will be maximum and the value of the gross power output ? %3D %3D [11.4% ; 8.6 kW|

1. A 3-phase, 115-volt induction motor has the following constants : R, = 0.07 Q ; R,' = 0.08 2, X, = 0.4 2 and X,' = 0.2 2. All the values are for one phase only. At which slip the gross power output will be maximum and the value of the gross power output ? %3D %3D [11.4% ; 8.6 kW|

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Please i need the solutions for these problems.
1. A 3-phase, 115-volt induction motor has the following constants : R, = 0.07 2: R,= 0.08 Q, X, = 0.4 Q and X will be maximum and the value of the gross power output ? = 0.2 2, All the values are for one phase only. At which slip the gross power output [11.4%; 8.6 kW] 2. A 3-phase, 400-V, Y-connected induction motor has an equivalent T-circuit consisting of R, = 1 2, X, = 2 2, equivalent rotor values are R, = 1.2 Q, X,' = 1.5 Q. The exciting branch has an impedance of (4 + j 40) 2. If slip is 5% find (i) current (ii) efficiency (iii) power factor (iv) output. Assume friction loss to be 250 W. | (i) 10.8 A (ii) 81% (iii) 0.82 (iv) 5 kW] 3. A 50 HP, 440 Volt, 3-phase, 50 Hz Induction motor with star-connected stator winding gave the following test results: (i)No load test: Applied line voltage 440 V, line current 24 A, wattmeter reading 5150 and 3350 watts. (ii)Blocked rotor test: applied line voltage 33.6 volt. line current 65 A, wattmeter reading 2150 and 766 watts. Calculate the parameters of the equivalent circuit. |Rajiv Gandhi Technical University, Bhopal, 2000|| | (1) Shunt branch : R= 107.6 ohms, X= 10.60 ohms (ii) Series branch : r=0.23 ohm, x 0.19 ohm | %3D
Transcribed Image Text:1. A 3-phase, 115-volt induction motor has the following constants : R, = 0.07 2: R,= 0.08 Q, X, = 0.4 Q and X will be maximum and the value of the gross power output ? = 0.2 2, All the values are for one phase only. At which slip the gross power output [11.4%; 8.6 kW] 2. A 3-phase, 400-V, Y-connected induction motor has an equivalent T-circuit consisting of R, = 1 2, X, = 2 2, equivalent rotor values are R, = 1.2 Q, X,' = 1.5 Q. The exciting branch has an impedance of (4 + j 40) 2. If slip is 5% find (i) current (ii) efficiency (iii) power factor (iv) output. Assume friction loss to be 250 W. | (i) 10.8 A (ii) 81% (iii) 0.82 (iv) 5 kW] 3. A 50 HP, 440 Volt, 3-phase, 50 Hz Induction motor with star-connected stator winding gave the following test results: (i)No load test: Applied line voltage 440 V, line current 24 A, wattmeter reading 5150 and 3350 watts. (ii)Blocked rotor test: applied line voltage 33.6 volt. line current 65 A, wattmeter reading 2150 and 766 watts. Calculate the parameters of the equivalent circuit. |Rajiv Gandhi Technical University, Bhopal, 2000|| | (1) Shunt branch : R= 107.6 ohms, X= 10.60 ohms (ii) Series branch : r=0.23 ohm, x 0.19 ohm | %3D
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