single phase distributor 1 km long supplies a load of 100A at 0.8 p.f. lagging at its far end and a load of 200A at unity p.f. at its mid-point. Both power factors are referred to the voltage at the far end. The resistance and reactance per km (go and return) are 0.1 Ω and 0.2Ω respectively. If the voltage at the far end is maintained at 200V, calculate feeder current, voltage at the sending end . Also find phase angle between voltages at mid-point and sending end.

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 2.14MCQ: The instantaneous power absorbed by the load in a single-phase ac circuit, for a general R LC load...
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A single phase distributor 1 km long supplies a load of 100A at 0.8 p.f. lagging at its far end and a load of 200A at unity p.f.  at its mid-point. Both power factors are referred to the voltage at the far end. The resistance and reactance per km (go and return) are 0.1 Ω and 0.2Ω respectively. If the voltage at the far end is maintained at 200V, calculate feeder current, voltage at the sending end . Also find phase angle between voltages at  mid-point and sending end.

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