Three-Phase Calculator (Star/Delta)
Solve star and delta circuits: P = root3 VL IL cos phi, phase vs line voltage (root3), currents, and reactive power for industrial loads.
Figures are estimates from this calculator’s standard formula — adjust the inputs in the tool below for your exact number.
How the Three-Phase Calculator Works
Calculates power relationships in three-phase systems, which are more efficient than single-phase for high-power applications. Supports both star (Y) and delta (Δ) configurations. Worked example: star-connected load, 400 V line, 10 A line current, PF 0.85: phase voltage = 400/1.732 = 231 V, P = 1.732 x 400 x 10 x 0.85 = 5.9 kW, Q = 3.66 kVAR. Line and phase quantities trade by root3: in star a 400 V line means 231 V per phase winding, while delta puts the full 400 V across each element - the same load, different currents per connection.
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Step 1
Select the connection type (Star or Delta)
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Step 2
Enter line voltage and line current
- 3
Step 3
Enter the power factor
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Step 4
View active, reactive, and apparent power
Use Cases
Industrial motor power calculations
Commercial electrical system design
Generator sizing and selection
Power distribution network planning
Tips
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Star connection: VL = √3 × Vph, IL = Iph
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Delta connection: VL = Vph, IL = √3 × Iph
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Three-phase delivers constant power (no pulsation)
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More efficient transmission than single-phase
Common Mistakes
Confusing line and phase values
Using wrong √3 factor for star vs. delta
Forgetting power factor in power calculations
Assuming unbalanced loads follow balanced formulas
FAQs
What is the difference between star and delta connections?
Why is three-phase more efficient than single-phase?
When should I use star vs. delta?
What is the three-phase power formula?
Star or delta - which draws more current?
Why root3 and not 3?
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