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Transformer Fundamentals

Three Phase Power Explained

This arrangement supports power distribution and industrial loads with a consistent set of line voltage, line current and capacity ratings.

Three-phase power uses three alternating phase voltages separated by 120 degrees. This arrangement supports power distribution and industrial loads with a consistent set of line voltage, line current and capacity ratings.

Follow the three waveforms

In a balanced system, the phase voltages have the same magnitude and frequency with equal displacement. Balanced sinusoidal loads produce constant total instantaneous power. Real sites also include uneven single-phase loads and nonlinear equipment, so phase balance belongs in the operating review.

Three equal sinusoidal phase voltages displaced by 120 degrees.
Three equal sinusoidal phase voltages displaced by 120 degrees.

Calculate on a line basis

For balanced three-phase AC, apparent power in kVA equals √3 × line-to-line voltage × line current / 1000. At 480 V and 100 A, apparent power is 83.1 kVA. At 0.90 power factor, active power is 74.8 kW. Keep the same line-to-line voltage basis throughout the calculation.

Balanced three-phase power

S = √3 × VLL × IL / 1000

P = S × PF

Example: √3 × 480 V × 100 A / 1000 = 83.1 kVA; 83.1 kVA × 0.90 = 74.8 kW. These balanced-load formulas use line-to-line voltage and line current.

Item or conditionWhat to compareInput or result
Phase displacement120 degreesBalanced three-phase system
480 V and 100 A83.1 kVALine quantities
Power factor 0.9074.8 kWActive power

For current calculations from active power, enter electrical input kW, line-to-line voltage and power factor in the kW to amps calculator.

Document the equipment interfaces

List supply voltage, frequency, three-phase load current and any neutral requirement. Show transformer connections and downstream distribution on the single-line diagram. Check phase sequence and instrument scaling during the approved commissioning process.

Frequently Asked Questions

Does every three-phase circuit use a neutral?

Neutral requirements follow the transformer winding connection and the connected loads.

Where should I compare single and three phase?

Use the linked supply comparison for service and equipment selection; this page explains three-phase quantities.

Review three-phase power for your application

Share the supply voltage, frequency, line current, phase balance, neutral requirement and transformer connection for an engineering review.