The formula to calculate the Horsepower (HP) from Current (I), Voltage (V), Efficiency, and Power Factor (PF) is:
\[ HP = \frac{I \times V \times \left(\frac{Efficiency}{100}\right)}{746} \]
\[ HP = \frac{I \times V \times \left(\frac{Efficiency}{100}\right) \times PF}{746} \]
\[ HP = \frac{I \times V \times \sqrt{3} \times \left(\frac{Efficiency}{100}\right) \times PF}{746} \]
Where:
Horsepower (HP) is a unit of measurement of power, or the rate at which work is done.
Current (I) is the flow of electric charge.
Voltage (V) is the electric potential difference between two points.
Efficiency is the ratio of the useful output of a system to the input, expressed as a percentage.
Power Factor (PF) is the ratio of the real power used to do work to the apparent power flowing to the circuit (for AC circuits).
Let's assume the following values:
Using the formula for 1 phase AC circuits:
\[ HP = \frac{10 \times 230 \times \left(\frac{90}{100}\right) \times 0.8}{746} \]
Evaluating:
\[ HP = \frac{10 \times 230 \times 0.9 \times 0.8}{746} \approx 2.217 \]
The Horsepower is approximately 2.217 HP.
| Current (I) (A) | Voltage (V) | Efficiency (%) | Power Factor (PF) | Horsepower (HP) |
|---|---|---|---|---|
| 10 | 230 | 80 | 0.8 | 2.4665 |
| 10 | 230 | 80 | 0.8 | 1.9732 |
| 10 | 230 | 80 | 0.8 | 3.4177 |
| 10 | 230 | 80 | 0.9 | 2.4665 |
| 10 | 230 | 80 | 0.9 | 2.2198 |
| 10 | 230 | 80 | 0.9 | 3.8449 |
| 10 | 230 | 90 | 0.8 | 2.7748 |
| 10 | 230 | 90 | 0.8 | 2.2198 |
| 10 | 230 | 90 | 0.8 | 3.8449 |
| 10 | 230 | 90 | 0.9 | 2.7748 |
| 10 | 230 | 90 | 0.9 | 2.4973 |
| 10 | 230 | 90 | 0.9 | 4.3255 |
| 10 | 400 | 80 | 0.8 | 4.2895 |
| 10 | 400 | 80 | 0.8 | 3.4316 |
| 10 | 400 | 80 | 0.8 | 5.9438 |
| 10 | 400 | 80 | 0.9 | 4.2895 |
| 10 | 400 | 80 | 0.9 | 3.8606 |
| 10 | 400 | 80 | 0.9 | 6.6867 |
| 10 | 400 | 90 | 0.8 | 4.8257 |
| 10 | 400 | 90 | 0.8 | 3.8606 |
| 10 | 400 | 90 | 0.8 | 6.6867 |
| 10 | 400 | 90 | 0.9 | 4.8257 |
| 10 | 400 | 90 | 0.9 | 4.3432 |
| 10 | 400 | 90 | 0.9 | 7.5226 |
| 20 | 230 | 80 | 0.8 | 4.9330 |
| 20 | 230 | 80 | 0.8 | 3.9464 |
| 20 | 230 | 80 | 0.8 | 6.8353 |
| 20 | 230 | 80 | 0.9 | 4.9330 |
| 20 | 230 | 80 | 0.9 | 4.4397 |
| 20 | 230 | 80 | 0.9 | 7.6897 |
| 20 | 230 | 90 | 0.8 | 5.5496 |
| 20 | 230 | 90 | 0.8 | 4.4397 |
| 20 | 230 | 90 | 0.8 | 7.6897 |
| 20 | 230 | 90 | 0.9 | 5.5496 |
| 20 | 230 | 90 | 0.9 | 4.9946 |
| 20 | 230 | 90 | 0.9 | 8.6510 |
| 20 | 400 | 80 | 0.8 | 8.5791 |
| 20 | 400 | 80 | 0.8 | 6.8633 |
| 20 | 400 | 80 | 0.8 | 11.8875 |
| 20 | 400 | 80 | 0.9 | 8.5791 |
| 20 | 400 | 80 | 0.9 | 7.7212 |
| 20 | 400 | 80 | 0.9 | 13.3735 |
| 20 | 400 | 90 | 0.8 | 9.6515 |
| 20 | 400 | 90 | 0.8 | 7.7212 |
| 20 | 400 | 90 | 0.8 | 13.3735 |
| 20 | 400 | 90 | 0.9 | 9.6515 |
| 20 | 400 | 90 | 0.9 | 8.6863 |
| 20 | 400 | 90 | 0.9 | 15.0452 |
| 30 | 230 | 80 | 0.8 | 7.3995 |
| 30 | 230 | 80 | 0.8 | 5.9196 |
| 30 | 230 | 80 | 0.8 | 10.2530 |
| 30 | 230 | 80 | 0.9 | 7.3995 |
| 30 | 230 | 80 | 0.9 | 6.6595 |
| 30 | 230 | 80 | 0.9 | 11.5346 |
| 30 | 230 | 90 | 0.8 | 8.3244 |
| 30 | 230 | 90 | 0.8 | 6.6595 |
| 30 | 230 | 90 | 0.8 | 11.5346 |
| 30 | 230 | 90 | 0.9 | 8.3244 |
| 30 | 230 | 90 | 0.9 | 7.4920 |
| 30 | 230 | 90 | 0.9 | 12.9765 |
| 30 | 400 | 80 | 0.8 | 12.8686 |
| 30 | 400 | 80 | 0.8 | 10.2949 |
| 30 | 400 | 80 | 0.8 | 17.8313 |
| 30 | 400 | 80 | 0.9 | 12.8686 |
| 30 | 400 | 80 | 0.9 | 11.5818 |
| 30 | 400 | 80 | 0.9 | 20.0602 |
| 30 | 400 | 90 | 0.8 | 14.4772 |
| 30 | 400 | 90 | 0.8 | 11.5818 |
| 30 | 400 | 90 | 0.8 | 20.0602 |
| 30 | 400 | 90 | 0.9 | 14.4772 |
| 30 | 400 | 90 | 0.9 | 13.0295 |
| 30 | 400 | 90 | 0.9 | 22.5677 |
