kW kVA kVAR formula:
kW is nothing but a kilowatt and it is the unit of real power in kilo rating. kVA is a unit of apparent power in kilo rating. kVAR is the unit of reactive power in kilo rating.
Look at the power triangle, kW kVA kVAR formula can be written as below,
kVA2 = kW2 + kVAR2
kVA = √ (kW2 + kVAR2)
Look at the above formula, the kVA is equal to the square root of the sum of the square of the kW and KVAR.
From that formula, we can easily find out the kW and KVAR,
kW2 = kVA2 – kVAR2
kW = √ (kVA2 – kVAR2)
Like that, kVAR can be calculated from kW and kVA,
kVAR2 = kVA2 – kW2
kVAR = √ (kVA2 – kW2)
Also if you know the power factor, then we can relate them
KW, KVA and power factor formula,
kW is equal to power factor times of kVA, the formula can be written as
kW = kVA * power factor
kW = kVA * cos (φ)
The real power in kW = apparent power in kVA * power factor.
kVA = KW / cos(φ)
kVAR kVA, power factor formula:
kVAR is equal to the sin of power angle times of kVA.
kVAR = kVA * sin(φ)
Reactive power = apparent power * sin of power angle.
The power angle φ can be calculated by the cosine inverse of power factor.
kVA = KVAR / Sin(φ)
kW, kVAR and power factor formula:
kVAR is equal to the tan of kW. Hence the formula can be
kVAR = kW * tan (φ)
Reactive power in kilo volt-ampere reactive = kW * tan (power angle)
kW = kVAR / tan(φ)