Methods / kVA Triangle
How RokBench checks this

kVA Triangle

The power triangle relating real, reactive and apparent power.

1. What this check does

Solves the power triangle from any two of kW, kVA, kVAR and power factor. Calculated in your browser.

2. Inputs used

3. Formulas and assumptions

Triangle
kVA2=kW2+kVAR2\mathrm{kVA}^2 = \mathrm{kW}^2 + \mathrm{kVAR}^2
Power factor
PF=kWkVA=cos⁡φ\mathrm{PF} = \dfrac{\mathrm{kW}}{\mathrm{kVA}} = \cos\varphi
Symbols
kW\mathrm{kW}Real powerkW
kVAR\mathrm{kVAR}Reactive powerkVAR
kVA\mathrm{kVA}Apparent powerkVA
φ\varphiPower factor angle between kW and kVA°
Right triangle with kW on the horizontal side, kVAR on the vertical side, kVA on the hypotenuse and angle phi between kW and kVA.
Figure 1. The power triangle: kW, kVAR and kVA, and the angle φ.

4. What is NOT checked

5. Reference standards

Pointers only; consult the edition adopted by your authority having jurisdiction.

6. Validation cases

No worked example with a published answer is registered for this page yet. Have one we should add? Use the Feedback link. All cases: Validation.

7. Known issues and changes

See the Engineering Notes. Try the tool: kVA Triangle.

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