ClueLuma

Correction factor from the power triangle calculator

Subtract target reactive-to-real ratio from the initial ratio under sinusoidal conditions.

K=1−PFold2PFold−1−PFnew2PFnewK = \frac{\sqrt{1 - \mathrm{PF}_{\text{old}}^{2}}}{\mathrm{PF}_{\text{old}}} - \frac{\sqrt{1 - \mathrm{PF}_{\text{new}}^{2}}}{\mathrm{PF}_{\text{new}}}

Calculator

Enter the values you know and leave one box empty. Calculate finds the empty one, the result or any input.

decimal
decimal
kVAR/kW

Worked example

Given

  • PFold\mathrm{PF}_{\text{old}} = 0.72 decimal
  • PFnew\mathrm{PF}_{\text{new}} = 0.94 decimal
K=1−0.7220.72−1−0.9420.94≈0.6009K = \frac{\sqrt{1 - {0.72}^{2}}}{0.72} - \frac{\sqrt{1 - {0.94}^{2}}}{0.94} \approx 0.6009

Symbols and units

SymbolMeaningUnit
KKpower triangle factor for the stated initial and target PFkVAR/kW
PFold\mathrm{PF}_{\text{old}}original power factordecimal
PFnew\mathrm{PF}_{\text{new}}desired power factordecimal

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Results are estimates for study and screening. Check the inputs, units and assumptions before you use them for design, billing or contract decisions.