3 Phase Power Calculator
Professional electrical power calculations for industrial and commercial applications
Input Parameters
Calculated Results
Real Power (P)
0 kW
Apparent Power (S)
0 kVA
Reactive Power (Q)
0 kVAR
Phase Voltage
0 V
Phase Current
0 A
Phase Angle (φ)
0°
Phase Relationships
Unit Converter
0 kV | 0 MV
0 kW | 0 MW
0 mA | 0 kA
Three-Phase Power Fundamentals
Power Calculation Formulas
Real Power (Active Power):
P = √3 × VLL × IL × cos(φ)
Where P is measured in watts (W), representing actual power consumed by the load.
Apparent Power:
S = √3 × VLL × IL
Where S is measured in volt-amperes (VA), representing total power in the circuit.
Reactive Power:
Q = √3 × VLL × IL × sin(φ)
Where Q is measured in volt-amperes reactive (VAR), representing power stored in reactive components.
Configuration Differences
Wye (Star) Configuration:
- Line Voltage = √3 × Phase Voltage
- Line Current = Phase Current
- More stable voltage supply
- Neutral point available
Delta Configuration:
- Line Voltage = Phase Voltage
- Line Current = √3 × Phase Current
- Higher line current for same power
- No neutral point
Power Factor Significance
Power factor (cos φ) represents the ratio between real power and apparent power. A power factor of 1.0 indicates purely resistive load, while lower values indicate reactive components (inductors or capacitors) in the circuit.
Safety Notice: Always follow proper electrical safety procedures when working with three-phase systems. High voltages and currents can be dangerous. Consult qualified electrical personnel for installations and modifications.
Common Applications
- Industrial Motors: Large induction motors for manufacturing equipment
- Power Distribution: Commercial and industrial facility power systems
- HVAC Systems: Large air conditioning and heating systems
- Welding Equipment: High-power industrial welding applications
- Data Centers: Uninterruptible power supply (UPS) systems
Advantages of Three-Phase Systems
- Higher Power Density: More power with less conductor material
- Balanced Load: Even power distribution across phases
- Constant Power: Smoother power delivery compared to single-phase
- Motor Efficiency: Self-starting capability and higher efficiency
- Economic Benefits: Lower installation and operational costs
Technical References
- IEEE Std 141-1993: IEEE Recommended Practice for Electric Power Distribution for Industrial Plants
- NEMA MG 1-2016: Motors and Generators Standard
- IEC 60038:2009: IEC standard voltages
- National Electrical Code (NEC) Article 430: Motors, Motor Circuits, and Controllers
- IEEE Std 519-2014: Recommended Practice and Requirements for Harmonic Control in Electric Power Systems