Güç Üçgeni Nasıl Hesaplanır? (P, Q, S, cosφ)
In the power triangle S = P/cosφ (apparent power), Q = P·tanφ (reactive power) and S² = P² + Q² The following relationships are valid. For example, for 100 kW active power and cosφ 0.85, S ≈ 117.6 kVA, Q ≈ 62.0 kVAr, phase angle φ ≈ 31.8°.
S = P/cosφ · Q = P·tanφ · S² = P² + Q²
Example calculation: 100 kW active power, cosφ 0.85 → S = 100/0.85 ≈ 117.6 kVA, Q = P·tanφ ≈ 62.0 kVAr, phase angle φ ≈ 31.8°.
Power Triangle Converter (P / Q / S / cosφ)
Enter the active power (P) and power factor (cosφ); instantly view the apparent power (S), reactive power (Q), and phase angle (φ).
Apparent power S
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Reactive power Q
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Phase angle φ
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tanφ
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Notes: S = P/cosφ, Q = P·tanφ, S² = P² + Q². The values are calculated according to the P and cosφ you enter. For inductive loads, Q is taken as lagging (positive), and for capacitive loads, it is taken as leading (negative).
How is it calculated?
- Enter the active power (kW).
- Enter the power factor (cosφ).
- Press Calculate; S, Q, phase angle, and tanφ will be displayed.
Frequently Asked Questions
How to find apparent power (kVA)?
Active power divided by the power factor: S = P/cosφ.
How is reactive power (kVAr) calculated?
Q = P·tanφ; or the square root of the difference of squares of apparent and active power: Q = √(S²−P²).
What is the difference between kW and kVA?
kW is active (work-doing) power; kVA is apparent power (the combination of P and Q). Their ratio gives the power factor: cosφ = kW/kVA.
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