Single-Phase Power Calculator

Single-Phase Power Formula:

\[ P_{kW} = \frac{V \times I \times PF}{1000} \]

Power (kW):

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1. What is Single-Phase Power?

Definition: Single-phase power is the distribution of alternating current electric power using a system where all voltages vary in unison.

Purpose: This calculator helps determine the real power in kilowatts (kW) for single-phase AC electrical systems.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P_{kW} = \frac{V \times I \times PF}{1000} \]

Where:

\( P_{kW} \) — Real power (kilowatts)
\( V \) — Voltage (volts)
\( I \) — Current (amps)
\( PF \) — Power factor (unitless, between 0 and 1)

Explanation: The product of voltage and current gives apparent power, which is then multiplied by the power factor to get real power, then divided by 1000 to convert to kilowatts.

3. Importance of Power Calculation

Details: Accurate power calculation is essential for proper electrical system design, circuit protection, and energy efficiency.

4. Using the Calculator

Tips: Enter the voltage in volts, current in amps, and power factor (default 0.8). All values must be > 0, with power factor between 0 and 1.

5. Frequently Asked Questions (FAQ)

Q1: What is power factor?
A: Power factor is the ratio of real power to apparent power, representing how effectively current is being converted into useful work.

Q2: What's a typical power factor value?
A: For many systems, 0.8 is typical, but it varies by equipment. Resistive loads have PF=1, while inductive loads have lower PF.

Q3: Why divide by 1000?
A: This converts the result from watts to kilowatts (1 kW = 1000 W).

Q4: Does this work for DC circuits?
A: For DC, use the same formula but set PF=1 (DC has no power factor).

Q5: How does this differ from three-phase power?
A: Three-phase power uses a different formula that includes √3 (1.732) in the calculation.