3 Phase Delta/Wye Calculator


3 Phase Delta/Wye Calculator

Power Source

Delta Configuration Formulas

Wye Configuration Formulas

LINE VOLTAGE (Vline)
LINE CURRENT (Iline)
PHASE VOLTAGE (Vph)
PHASE CURRENT (Iph)
APPARENT POWER (S)
REAL POWER (P)
REACTIVE POWER (Q)
Power factor only valid from -1 to 1 Real power must be greater than 0  
Apparent Power (S), VA Reactive Power (Q), VAR Real Power (P), W Phase Angle __ deg Power Factor __
The three phase calculator uses the power triangle in which Real Power is expressed in Watts (W). Reactive Power is expressed in Reactive Volt Amps (VAR). Apparent Power is expressed in Volt Amps (VA). With power in an AC system there is always an inductive or reactive aspect to the circuit which causes the current to lead or lag the voltage. The actual power draw from a circuit takes this into consideration and is described as Apparent Power. Three phase power means that each phase is 120 degrees out of phase with each other. The voltage between two lines is the line voltage. Three phase power is typically used for induction motors (as it helps reduce the need for a starter capacitor) and heavy loads because it is usually more economical that two-wire/single phase. Voltage availability is regional and is 50 or 60Hz. In both Delta and Star (or Wye) configurations the calculations for real/active, apparent, and reactive power are the same. Phase and line current are equal in the Star (or Wye) configuration, and the line voltage is equal to √3 times the phase voltage. In Delta configuration line and phase voltage are equal and line current √3 times the phase current.
Voltage and Current in phase Pure Resistance
Current leads Voltage Pure Capacitance
Voltage leads Current Pure Inductance

3 Phase Delta/Wye Calculator: Electrical Load & Current Estimator

The 3 Phase Delta/Wye Calculator is an essential tool for electrical engineers, electricians, and students working with three-phase AC power systems. It allows you to calculate line current, phase current, line voltage, phase voltage, and total power for both Delta (Δ) and Wye (Y or Star) configurations. Whether you're designing industrial power systems or troubleshooting loads, this calculator helps ensure accurate and safe calculations.

What Is a 3-Phase Power System?

A 3-phase power system uses three alternating currents, each set 120 degrees apart. It is commonly used in commercial and industrial environments for efficient power delivery and equipment operation.

There are two major configurations:

Why Use a 3 Phase Delta/Wye Calculator?

This calculator helps you:

Key Inputs

Formulas Used in the Calculator

1. Wye (Y) Configuration

2. Delta (Δ) Configuration

Example Calculation: Wye System

Power: √3 × 400 × 20 × 0.9 = 12,474 W or 12.47 kW

Example Calculation: Delta System

Line Current (IL): √3 × 20 = 34.64 A

Power: √3 × 400 × 34.64 × 1.0 = 24,000 W or 24 kW

Advantages of Delta vs Wye

Feature Delta (Δ) Wye (Y)
Neutral Wire Not available Available
Voltage Output Higher phase currents Higher phase voltage (when VL constant)
Motor Starting Better for heavy loads Often used in light loads
Maintenance More complex Simpler grounding

Use Cases

Benefits of Using This Calculator

Frequently Asked Questions

1. When should I use Wye vs Delta?

Use Wye when a neutral is needed or for lower voltages. Use Delta for higher current loads and when a neutral is not required.

2. Can this calculator handle unbalanced loads?

No, this calculator assumes balanced three-phase systems. For unbalanced loads, detailed phase-by-phase analysis is required.

3. What is a power factor?

The power factor (PF) is the ratio of real power to apparent power. It typically ranges from 0.7 to 1.0. A higher PF means more efficient energy use.

4. Are the formulas valid for both 50 Hz and 60 Hz systems?

Yes. These calculations are based on RMS values and are frequency-independent.

Final Thoughts

The 3 Phase Delta/Wye Calculator is an invaluable tool for anyone working with AC power systems. By simplifying complex calculations and clarifying Delta vs Wye differences, this calculator improves system planning, safety, and performance.

Try our calculator today to master your three-phase power designs with precision and confidence!