Problem : The industrial load requires 40 kW with a power factor of 0.84 leading. The load voltage is 220 Vrms at 60 Hz, and the transmission line impedance is 0.1 + j0.25Ω. Calculate the active and reactive power losses on the transmission line and determine the required active and reactive power at the input end of the transmission line. The answer given : Pline=4.685 kW, Qline=11.713 kvar, PS=44.685 kW, QS=37.55 kvar and I want to know the concept of 'Complex Power'.

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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Problem : The industrial load requires 40 kW with a power factor of 0.84 leading. The load voltage is 220 Vrms at 60 Hz, and the transmission line impedance is 0.1 + j0.25Ω. Calculate the active and reactive power losses on the transmission line and determine the required active and reactive power at the input end of the transmission line.

The answer given : Pline=4.685 kW, Qline=11.713 kvar, PS=44.685 kW, QS=37.55 kvar and I want to know the concept of 'Complex Power'.

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