short, 3-phase 3-wire transmission line has a receiving end voltage of 4,160 V phase to neutral and serving a balanced 3-phase load of 998,400 volt-amperes at 0.82 pf lagging. At the receiving end, the voltage is 4,600 V, phase to neutral and the pf is 0.77 lagging. Solve for the size in kVAR of a capacitor needed to improve the receiving end pf to 0.9 lagging maintaining 4,160 V.

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A short, 3-phase 3-wire transmission line has a receiving end voltage of 4,160 V
phase to neutral and serving a balanced 3-phase load of 998,400 volt-amperes
at 0.82 pf lagging. At the receiving end, the voltage is 4,600 V, phase to neutral
and the pf is 0.77 lagging. Solve for the size in kVAR of a capacitor needed to
improve the receiving end pf to 0.9 lagging maintaining 4,160 V.
Hint:
Answer: Qt = 175 kVAR

 

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