This was my work.
Would anyone please verify my approach is correct?
Initial 3 phase load of Ptotal =520kW, Pf1=0.85, and Vline=31540volts
3*Pf=Ptotal
Pf=520kW/3=173.33kW
For grounded wye,
Vf=Vline/SQRT3=18209volts
Pf1=0.85,
Pf1=Sf1 * (cosf1), where Sf1= Pf1/(cosf1)...
The system with a balanced 3 phase load of 100kW at a 0.75 power factor, the system voltage is 12500V line to line, grounded wye.
What size of capacitor can bring the power factor to 0.90 lagging, then what will be the real power?