Calculate HP From Amps And Volts

Three-Phase Horsepower Formula:

\[ HP = \frac{I \times V \times \sqrt{3} \times PF \times Eff}{746} \]

Current (I):

amps

Voltage (V):

volts

Power Factor (PF):

dimensionless

Efficiency (Eff):

dimensionless

Horsepower (HP):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Three-Phase Horsepower Formula?

The three-phase horsepower formula calculates mechanical power output from electrical input parameters in a three-phase system. It provides an accurate assessment of motor performance by accounting for current, voltage, power factor, and efficiency.

2. How Does the Calculator Work?

The calculator uses the three-phase horsepower formula:

\[ HP = \frac{I \times V \times \sqrt{3} \times PF \times Eff}{746} \]

Where:

\( I \) — Current in amperes (amps)
\( V \) — Voltage in volts
\( \sqrt{3} \) — Square root of 3 (approximately 1.732)
\( PF \) — Power factor (dimensionless, 0-1)
\( Eff \) — Efficiency (dimensionless, 0-1)
746 — Conversion factor from watts to horsepower

Explanation: The formula converts electrical power (in watts) to mechanical power (in horsepower) while accounting for three-phase power characteristics and system losses.

3. Importance of Horsepower Calculation

Details: Accurate horsepower calculation is crucial for motor selection, system design, energy efficiency analysis, and proper equipment sizing in industrial applications.

4. Using the Calculator

Tips: Enter current in amps, voltage in volts, power factor (0-1), and efficiency (0-1). All values must be positive numbers within their respective valid ranges.

5. Frequently Asked Questions (FAQ)

Q1: Why is the √3 factor used in three-phase calculations?
A: The √3 factor accounts for the phase relationship in three-phase systems, where the line-to-line voltage is √3 times the phase voltage.

Q2: What are typical power factor values?
A: Power factor typically ranges from 0.7 to 0.95 for motors, with higher values indicating better electrical efficiency.

Q3: How does efficiency affect horsepower calculation?
A: Efficiency represents the ratio of mechanical power output to electrical power input, accounting for losses due to heat, friction, and other factors.

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

Q5: Why divide by 746 in the formula?
A: 746 watts equals 1 horsepower, so dividing by 746 converts the power calculation from watts to horsepower.