# Fans - Efficiency and Power Consumption

## Power consumption and typical efficiencies of fans

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### Fan Power Consumption

The ideal power consumption of a fan (without losses) can be expressed as

P_{i}= dp q(1)

where

P_{i}= ideal power consumption (W)

dp= total pressure increase in the fan (Pa)

q= air volume flow delivered by the fan (m^{3}/s)

The ideal power consumptions for fans at different air volumes and pressure increases are expressed in the chart below:

**Note!** For detailed engineering the manufacturing specifications of each fan must be used.

### Fan Efficiency

The fan efficiency is the ratio between power transferred to the airflow and the power used by the fan. The fan efficiency is in general independent of the air density and can be expressed as:

μ_{f}= dp q / P(2)

where

μ_{f}= fan efficiency (values between 0 - 1)

dp= total pressure (Pa)

q= air volume delivered by the fan (m^{3}/s)

P= power used by the fan (W, Nm/s)

The power used by the fan can be expressed as:

P = dp q / μ_{f}(3)

The power used by the fan can also be expressed as:

P = dp q / (μ_{f}μ_{b}μ_{m})(4)

where

μ_{b}= belt efficiency

μ_{m}= motor efficiency

Typical motor and belt efficiencies:

- Motor
*1kW - 0.4* - Motor
*10 kW - 0.87* - Motor
*100 kW - 0.92* - Belt
*1 kW - 0.78* - Belt
*10 kW - 0.88* - Belt
*100 kW - 0.93*

### Power Consumptions - Imperial Units

Fan energy use can also be expressed as

P_{cfm }= 0.1175 q_{cfm}dp_{in}/(μ_{f}μ_{b}μ_{m}) (4b)

where

P_{cfm }= power consumption (W)

q_{cfm }= volume flow (cfm)

dp_{in}= pressure increase (in. WG)

### Fan and Installation Loss (System Loss)

The installation of a fan will influence on the overall system efficiency

dp_{sy}= x_{sy}p_{d}(5)

where

dp_{sy}= installation loss (Pa)

x_{sy}= installation loss coefficient

p_{d}= dynamic pressure in the nominal intake and outlet of the fan (Pa)

### Fan and Temperature Increase

Near all of the energy lost in a fan will heat up the air flow and the temperature increase can be expressed like

dt = dp / 1000(6)

where

dt= temperature increase (K)

dp= increased pressure head (Pa)

### Standards for Fan Efficiency

- ISO 12759 "Fans – Efficiency classification for fans"
- AMCA 205 "Energy Efficiency Classification for fans"

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