90 Kw To Amps 3 Phase Calculator

3 Phase Power Formula:

\[ I = \frac{90 \times 1000}{V \times \sqrt{3} \times PF} \]

Current (I):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the 3 Phase Power Formula?

The 3 phase power formula calculates electrical current (amps) from power (kilowatts), voltage, and power factor in a three-phase electrical system. It provides accurate current measurement for balanced three-phase loads.

2. How Does the Calculator Work?

The calculator uses the 3 phase power formula:

\[ I = \frac{90 \times 1000}{V \times \sqrt{3} \times PF} \]

Where:

\( I \) — Current in amps
\( 90 \) — Power in kilowatts (fixed for this calculator)
\( 1000 \) — Conversion factor (kW to watts)
\( V \) — Voltage in volts
\( \sqrt{3} \) — Approximately 1.732 (constant for 3-phase systems)
\( PF \) — Power factor (dimensionless, 0-1)

Explanation: The formula converts 90 kW to watts, then divides by the product of voltage, square root of 3, and power factor to calculate the current.

3. Importance of Current Calculation

Details: Accurate current calculation is crucial for proper electrical system design, circuit breaker sizing, wire selection, and ensuring equipment operates within safe current limits.

4. Using the Calculator

Tips: Enter system voltage in volts and power factor (0-1). Both values must be valid (voltage > 0, power factor between 0-1).

5. Frequently Asked Questions (FAQ)

Q1: Why is the power factor important in this calculation?
A: Power factor represents the phase difference between voltage and current. Lower power factors result in higher current for the same power, affecting conductor sizing and system efficiency.

Q2: What is a typical power factor value?
A: Power factor typically ranges from 0.8 to 0.95 for most industrial loads. Resistive loads have PF=1, while inductive loads have lower power factors.

Q3: Why is √3 used in 3-phase calculations?
A: √3 (approximately 1.732) is the mathematical relationship between line-to-line voltage and line-to-neutral voltage in balanced 3-phase systems.

Q4: Can this calculator be used for single-phase systems?
A: No, this calculator is specifically for 3-phase systems. Single-phase calculations use a different formula without the √3 factor.

Q5: What are typical voltage values for 3-phase systems?
A: Common 3-phase voltages include 208V, 240V, 380V, 400V, 415V, 480V, and 600V, depending on the country and application.