Question

A load of 15 MVA with power factor 0.86 lagging is given. Calculate the reactive power
delivered by the shunt capacitors to increase the power factor from 0.86 to 0.9 lagging

Answer 1

Answer:

Given : a load of 15 MVA with power

factor 0.86 lagging

to find : reactive power delivered by

shunt capacitors to increase power factor to 0.9 lagging

solution :

a load of 15 MVA

power factor 0.86

=> cosa = 0.86

=> a = cos-¹(0.86)

=> a = 30.68°

=> tan a = 0.593

improved Power factor = 0.9

=> cosß = 0.9

=> ß = cos-¹(0.9)

=> B = 25.84

=> tan ß = 0.484

reactive power delivered by shunt capacitors to increase power factor to 0.9 lagging = 15(0.593 - 0.484)

= 15(0.109)

= 1.635 VAR

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