Derive, for both star- and delta-connected systems, an expression for the total power input for a balanced three-phase load in terms of line voltage, line current and power factor. The star-connected secondary of a transformer supplies a delta-connected motor taking a power of 90 kW at a lagging power factor of 0.9. If the volt age between lines is 600 V, calculate the current in the transformer winding and in the motor winding. Draw circuit and phasor diagrams, properly labelled, showing all voltages and currents in the transformer secondary and the motor. ANS:  . 96.2 A, 55.6 A

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 3.31P
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Derive, for both star- and delta-connected systems, an

expression for the total power input for a balanced

three-phase load in terms of line voltage, line current

and power factor.

The star-connected secondary of a transformer

supplies a delta-connected motor taking a power of

90 kW at a lagging power factor of 0.9. If the volt

age between lines is 600 V, calculate the current in

the transformer winding and in the motor winding.

Draw circuit and phasor diagrams, properly labelled,

showing all voltages and currents in the transformer

secondary and the motor. ANS: 

. 96.2 A, 55.6 A

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