3 Phase Calculator

3 phase calculator is an easy-to-use online tool to quickly determine the parameters of balanced three-phase circuits in both Delta and Star configurations. A balanced 3-phase circuit has the same voltages, currents, and power factors in all three phases.

This tool uses the following equations to determine voltages and currents for Star connection:

Vline = √3 × Vph
Iline = Iph

This tool uses the following equations to determine voltages and currents for Delta connection:

Vline = Vph
Iline = √3 × Iph

The apparent power (S) for both delta and star connections can be calculated using the following formulas:

S = 3 × Vph × Iph,
S = √3 × Vline × Iline

The active power (P) in both star and delta connections can be calculated using the following formulas:

P = S × PF
P = 3 × Vph × Iph × PF
P = √3 × Vline × Iline × PF

where: PF (power factor) = cos φ. φ is the phase angle (PA) – the angle of lead or angle of lag of the current's phase with respect to the voltage's phase.

The reactive power (Q) for both delta and star connections can be calculated using the following formulas:

Q = S × sin φ
Q = 3 × Vph × Iph × sin φ
√3 × Vline × Iline × sin φ

You might also find helpful: Circuit Breaker Size Calculator.


3 phase calculator - a simple online tool for electricians

Frequently Asked Questions

Why students & professionals need the 3-phase calculator?

Three-phase power calculations are essential in industrial, commercial, and electrical engineering — but the formulas can be confusing and error-prone when done manually. The 3 Phase Calculator instantly computes power, current, voltage, and apparent power for balanced three-phase systems, helping users avoid mistakes and work faster.

Students and professionals use this calculator to:

  • Analyze three-phase AC systems quickly and accurately;
  • Convert between line and phase values;
  • Verify calculations for motors, generators, and panels;
  • Support coursework, labs, and certification exams;
  • Speed up real-world design, sizing, and troubleshooting.

Why You Need This Calculator?

For Professionals

In the fast-paced world of electrical engineering and industrial maintenance, precision is non-negotiable. Our 3-Phase Calculator eliminates the risk of manual calculation errors when sizing breakers, selecting wire gauges, or balancing loads. Whether you are commissioning a new motor or auditing a facility's power quality, this tool provides instant results, saving you valuable time in the field and the office.

For Students

Mastering alternating current (AC) theory is one of the biggest challenges in electrical engineering studies. This calculator serves as a powerful learning aid, helping you verify complex homework assignments and visualize the relationship between line and phase parameters. Use it to bridge the gap between abstract formulas — like the square root of three — and practical, real-world applications.

Practical Applications

  1. Electrical Engineering Education
    A student learning power systems calculates three-phase power for a balanced load. The calculator helps verify results and reinforces understanding of line voltage, line current, and power relationships.
  2. Motor & Equipment Sizing
    An engineer selects a three-phase motor and needs to estimate current draw based on voltage and power. The calculator provides quick answers to help size breakers, cables, and protection devices.
  3. Industrial & Commercial Installations
    An electrician checks the power consumption of a three-phase load in a commercial building. The calculator helps confirm expected values before installation or system upgrades.

What is a three-phase power system?

A three-phase system uses three AC voltages, each phase shifted by 120°, to deliver more efficient and stable power.

What’s the difference between single-phase and three-phase power?

Line Voltage is the electrical potential between any two conductors in a three-phase system. Phase Voltage is the potential between any single conductor and the neutral point. In a Wye (Star) connection, Line Voltage is √3 times the Phase Voltage. Three-phase power delivers higher efficiency, smoother operation, and more power capacity compared to single-phase systems.

Can this calculator be used for motors?

Yes. It’s commonly used to estimate current, power, and load behavior in three-phase motors.

How does Power Factor affect my 3-phase calculation?

Power Factor (PF) represents the efficiency of the electrical system. A lower PF means more current is required to provide the same amount of real power (kW), which can lead to higher utility costs and the need for larger equipment.

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