In the following circuit, the lights (lamps) loads (L) are balanced. Each lamp (L) is set at 500 W and 120 V. The fixed resistance (i.e. lamps) only draws the specified current. The three-phase motor is at 5kW and 0.8 reverse power factor. The secondary side of the transformer (lower part of the network) supplies voltage between 208 V balanced phases (ll-line line). The motor is 1500 meters away from the side (length from the secondary side). Hattin resistance and reactance values ​​are 0.403 ohms for 1000 meters and 0.143 ohms. In that case  a) Calculate the phase neutral voltage of the motor. b) Calculate the phase-to-phase voltage of the motor.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter3: Power Transformers
Section: Chapter Questions
Problem 3.10P: A single-phase step-down transformer is rated 13MVA,66kV/11.5kV. With the 11.5 kV winding...
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In the following circuit, the lights (lamps) loads (L) are balanced. Each lamp (L) is set at 500 W and 120 V. The fixed resistance (i.e. lamps) only draws the specified current. The three-phase motor is at 5kW and 0.8 reverse power factor. The secondary side of the transformer (lower part of the network) supplies voltage between 208 V balanced phases (ll-line line). The motor is 1500 meters away from the side (length from the secondary side). Hattin resistance and reactance values ​​are 0.403 ohms for 1000 meters and
0.143 ohms. In that case 

a) Calculate the phase neutral voltage of the motor.

b) Calculate the phase-to-phase voltage of the motor.

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