b) A three-phase supply operating at 400 V 50 Hz is supplying a factory with two loads. Load A is consuming 350 kVA at power factor of 0.72 lagging. Load B is powered by a 260 kVA synchronous motor with a mechanical load of 200 kW. The Loads A and B remain constant and synchronous motor is running at over- excited to achieve the power factor of whole system at 0.92 lagging. Determine: (i) the reactive power of the synchronous motor; (ii) the power factor of the synchronous motor; (iii) whether unity power factor of whole system can be achieved; (iv) the best power factor of the whole system at given loads within the rated conditions; (v) the line current of the whole system under the conditions in part (iv).

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
Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.16P: A single-phase, 120V(rms),60Hz source supplies power to a series R-L circuit consisting of R=10 and...
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(b) A three-phase supply operating at 400 V 50 Hz is supplying a
factory with two loads. Load A is consuming 350 kVA at power
factor of 0.72 lagging. Load B is powered by a 260 kVA
synchronous motor with a mechanical load of 200 kW. The Loads
A and B remain constant and synchronous motor is running at over-
excited to achieve the power factor of whole system at 0.92 lagging.
Determine:
(i) the reactive power of the synchronous motor;
(ii) the power factor of the synchronous motor;
(iii) whether unity power factor of whole system can be achieved;
(iv) the best power factor of the whole system at given loads
within the rated conditions;
(v)
the line current of the whole system under the conditions in
part (iv).
Transcribed Image Text:(b) A three-phase supply operating at 400 V 50 Hz is supplying a factory with two loads. Load A is consuming 350 kVA at power factor of 0.72 lagging. Load B is powered by a 260 kVA synchronous motor with a mechanical load of 200 kW. The Loads A and B remain constant and synchronous motor is running at over- excited to achieve the power factor of whole system at 0.92 lagging. Determine: (i) the reactive power of the synchronous motor; (ii) the power factor of the synchronous motor; (iii) whether unity power factor of whole system can be achieved; (iv) the best power factor of the whole system at given loads within the rated conditions; (v) the line current of the whole system under the conditions in part (iv).
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