2.6.2 Calculations
Power requirements of a Roots vacuum pump
A Roots vacuum pump is a pure positive-displacement pump without internal pre-compression. Consequently, its power input P, as well as the pressure differential Δp between inlet side connection and pressure side connection S0, are proportional.
Formula 2-8:
Roots pump power input
| S0 | = | pumping speed of a Roots vacuum pump without counter-pressure, in m3 / s |
| Δp | = | pressure differential between inlet-side connection and pressure-side connection, in Pa |
| ηmech | = | mechanical efficiency of the pump (approximately 0.85 for Roots vacuum pumps) |
| P | = | power requirement or motor rating, in W |
Although the mechanical losses are low, it is advisable to use contactors in the control cabinet for heavy-duty start-up. After power-up, the power requirement in the medium vacuum range is low.
All further calculations relating to the pumping speeds of pumping stations and pump-down times are provided in Chapter 7: Configuration.
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