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A balanced three-phase source supplies power to three wye-connected loads, as depicted in the single-phase

Question

A balanced three-phase source supplies power to three wye-connected loads, as depicted in the single-phase

diagram of Figure 4.34. 

The loads are

Load 1:S1 = 38 kVApf1 = 0.7 lagging
Load 2:S2 = 30 kVApf2 = 0.75 leading
Load 3:Unknown

The line voltage at the loads and the line current at the source are 240 V and 150 A, respectively.  If the combined power factor at the loads is unity, determine: (a) the real, apparent, and reactive powers of the unknown load; and (b) the pf of the unknown load. (c) Vary the resistive component of Load 3 from 0 to 10 Ω, and determine the resistance that corresponds to a power factor of 0.96.

 
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