Earth Bondhon
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Md Jony Islam Author
Md Jony Islam
CalculatorToolsProjectExpert
Reviewers
Małgorzata Koperska, MD Steven Wooding
Last updated: October 23, 2025

Three Phase Power Calculator | Compute AC Power in 3-Phase Systems

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Three Phase Power Calculator

Calculate active, reactive, and apparent power in three-phase AC systems using voltage, current, and power factor. Ideal for engineers, electricians, and students.

3-phase AC power calculator:

The Three Phase Power Calculator calculates active, reactive, and apparent power in three-phase AC systems. By entering line voltage, current, and power factor, it provides instant insights into real and reactive power, helping engineers and electricians design efficient power systems, analyze loads, and ensure system stability. It supports both delta and star configurations for accurate industrial and commercial calculations.

3-phase active reactive apparent power Tool Formula:

The Three Phase Power Calculator helps determine power in three-phase AC systems, including active (P), reactive (Q), and apparent (S) power. Using system voltage, line current, and power factor, the calculator applies standard formulas:

\[ P = \sqrt{3} \times V_{L} \times I_{L} \times cos(\phi) \]

\[ Q = \sqrt{3} \times V_{L} \times I_{L} \times sin(\phi) \]

\[ S = \sqrt{3} \times V_{L} \times I_{L} \]

where V_L is line voltage, I_L is line current, and φ is the phase angle. It supports both delta and star (wye) configurations, making it ideal for industrial, commercial, and utility applications. Engineers and electricians can use it to design systems, verify load capacity, optimize energy efficiency, and troubleshoot power distribution. By inputting voltage, current, and power factor, the tool instantly calculates real, reactive, and apparent power in watts (W), kilowatts (kW), or kilovolt-amperes reactive (kVAR).

⚡ Work & Installation Input to Output:

Three-phase power is distributed across three AC lines with phase differences of 120°. Inputs include line voltage (V_L), line current (I_L), and power factor (cos φ). The calculator outputs active power (P), reactive power (Q), and apparent power (S). These outputs are crucial for energy efficiency, load balancing, equipment sizing, and overall system reliability. Proper calculation ensures optimal performance in industrial and commercial installations.

Testing and Final Adjustments

To validate three-phase power calculations, measure line voltage and current using multimeters, clamp meters, or power analyzers. Confirm the power factor using a power meter or instrument with PF measurement. Compare measured active, reactive, and apparent power with calculated values for accuracy. Adjust load connections, transformer tap settings, or capacitor banks if the system deviates from expected results. Regular testing ensures balanced load distribution, minimizes losses, prevents overloading, and improves overall system efficiency. Using this calculator helps engineers design and troubleshoot three-phase systems safely and effectively.

Frequently Asked Questions - Three Phase Power Calculator:

What is a three phase power calculator?

It calculates active, reactive, and apparent power in three-phase AC systems using voltage, current, and power factor.

Which formulas are used for three-phase power?

P = √3 × V_L × I_L × cos(φ), Q = √3 × V_L × I_L × sin(φ), S = √3 × V_L × I_L.

What units are used for three-phase power?

Active power (P) in watts/kilowatts, reactive power (Q) in VAR/kVAR, apparent power (S) in VA/kVA.

Can it calculate both delta and star configurations?

Yes, it supports both connection types.

Why is power factor important in three-phase systems?

It determines the proportion of real power to apparent power, affecting efficiency and load sizing.

Can this be used for industrial systems?

Yes, it is ideal for industrial, commercial, and utility power systems.

How do I measure line current and voltage?

Use clamp meters, multimeters, or power analyzers to measure line values accurately.

What is apparent power (S)?

Apparent power is the total power in the system, combining real and reactive components.

How can I improve system efficiency?

Optimize power factor, balance loads, and minimize losses in lines and transformers.

Is this useful for electrical design and troubleshooting?

Yes, it helps engineers size equipment, analyze loads, and ensure system stability.

Md Jony Islam

Md Jony Islam

CalculatorToolsProject

Founder of Earthbondhon.com

a free online tools website designed to make everyday and engineering-related calculations easier for students, professionals, and hobbyists. The site offers a wide range of basic calculators across key categories, including Electrical Calculators, Electronic Calculators, and Time & Date Calculators.