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Design of an Automatic Control Algorithm for Energy-Efficient ...

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3 System description 29<br />

width modulation (PWM). By switching very fast between 0 <strong>an</strong>d 12 Volt the device is<br />

able to make the f<strong>an</strong> “see” different voltages depending on the pulse width. The result<br />

is a very energy efficient, continuous control. It is, however, more expensive due to the<br />

required electronics.<br />

3.2.2 Air mixing<br />

� � ��� � ��� �<br />

� � ��� � ��� �<br />

� � ��� � ��� �<br />

Figure 3.6: Adiabatic air mixing.<br />

Fresh air <strong>an</strong>d recirculated air are mixed at the recirculation flap. The resulting<br />

inlet air (subscript 3, see Figure 3.6) has the following properties:<br />

��� ���� � ���<br />

� ��� ��� ��� ¡ ��� � � ��� ¡ ���� �<br />

���<br />

��� ¡ ������� ���� ¡ ������� � ��� ¡ �������<br />

(3.26)<br />

with ������ � � � ����� ¡ � � � � ����¡� � � � ��� ¡ � ��<br />

�� �<br />

�<br />

���<br />

��� ¡ ������� � ���<br />

¡ ������� �<br />

���<br />

��� ¡ ¡� �<br />

�<br />

�<br />

� ����� � � ��� ¡ � ���<br />

(3.24)<br />

(3.25)<br />

(3.27)<br />

The same equations are valid after the air mix flap where warm air coming from the heat<br />

exch<strong>an</strong>ger <strong>an</strong>d cool air coming directly from the evaporator are mixed. The humidity <strong>of</strong><br />

the air streams is equal in this case (� ��� � � ��� � � ���).<br />

3.2.3 Dehumidification<br />

Dehumidification happens in the evaporator if the air becomes colder th<strong>an</strong> the dew point<br />

temperature (see Figure 2.1). This process is shown in Figure 3.7 <strong>an</strong>d c<strong>an</strong> be described

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