Calculate HP From Amps And Voltage

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):

(0-1)

Efficiency (Eff):

(0-1)

Horsepower (HP):

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1. What is Three Phase Horsepower Calculation?

The three phase horsepower calculation estimates mechanical power output from electrical input parameters in a three phase AC system. It provides an accurate assessment of motor power based on 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 Amps
\( V \) — Voltage in Volts
\( \sqrt{3} \) — Square root of 3 (1.732)
\( PF \) — Power Factor (dimensionless, 0-1)
\( Eff \) — Efficiency (dimensionless, 0-1)
746 — Conversion factor from watts to horsepower

Explanation: The equation converts electrical power (watts) to mechanical power (horsepower) 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 (typically 0.8-0.95), and efficiency (typically 0.85-0.95). All values must be positive numbers within their 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 voltage between phases is √3 times the phase-to-neutral voltage.

Q2: What are typical power factor values?
A: Power factor typically ranges from 0.8 to 0.95 for most industrial 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. Lower efficiency means more electrical power is lost as heat.

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 calculation without the √3 factor.

Q5: Why divide by 746 in the formula?
A: 746 watts equals 1 horsepower, so dividing by 746 converts the electrical power (in watts) to mechanical power (in horsepower).