Question

a load of 15 mva with power factor 0.86 lagging is given. Calculate the reactive power delivered by shunt capacitors to increase power factor to 0.9 lagging​

Answer 1

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

=> cosα = 0.86

=> α = cos⁻¹(0.86)

=> α =  30.68°

=> tan α  = 0.593

improved Power factor = 0.9

=> cosβ = 0.9

=> β = cos⁻¹(0.9)

=> β =  25.84°

=> tan β  = 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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Answer 2

$\huge\underline\mathfrak\blue{❥︎ANSWER}$

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

=> cosα = 0.86

=> α = cos⁻¹(0.86)

=> α = 30.68°

=> tan α = 0.593

improved Power factor = 0.9

=> cosβ = 0.9

hope it helps you.....☺☺