Calculator · Electrical Engineering

Three-Phase Power Calculator

In a balanced three-phase system the total power is P = √3·VLL·Iline·PF whether the load is star- or delta-connected; only the line/phase relations differ.

Inputs

Assumption: balanced three-phase system. Line and phase quantities stay explicit; supplying both forms of a quantity checks their consistency.

Line-to-line voltage VLL[V]

Line current Iline[A]

Power factor

Results

Real power P

5.543 kW

Reactive power Q

4.157 kvar

Apparent power S

6.928 kVA

Line-to-line voltage VLL	400 V
Phase voltage Vphase	230.9 V
Line current Iline	10 A
Phase current Iphase	10 A
Connection	Star: VLL = √3·Vphase, Iline = Iphase

Assumptions

· balanced three-phase system

Explore in the Lab

Open this system in the Power & Three-Phase Lab

Carries the connection, line quantities, PF and nature.

Technical reference

P = √3 · VLL · Iline · PF = 3 · Vphase · Iphase · PF

S = √3 · VLL · Iline

Q = ±S · √(1 − PF²)

VLL: line-to-line voltage (≥ 0)[V]
Iline: line current (≥ 0)[A]
PF: power factor, 0 ≤ PF ≤ 1

Reference: 400 VLL, 10 A line, PF 0.8 lagging → P ≈ 5542.56 W.

Balanced systems only; inconsistent line/phase pairs are refused.