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

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3 System description 30<br />

� � ��� � ��� �<br />

�������������� ���������������<br />

� � ��� � ��� �<br />

�<br />

�<br />

��� �<br />

�<br />

� � ��� � ��� �<br />

Figure 3.7: The dehumidification process.<br />

by three equations [18]: Mass, water <strong>an</strong>d energy bal<strong>an</strong>ce.<br />

��� ���� � ��� � �� ���<br />

� ��� �� ��� �� �<br />

�� ���<br />

������� �������� � � ���<br />

�� ���<br />

�� �<br />

�� ���<br />

¡ � �<br />

(3.28)<br />

(3.29)<br />

(3.30)<br />

The enthalpy <strong>of</strong> the condensed water � � is dependent on its temperature. If all possible<br />

water in the air is condensed, � ��� will be saturated � ��� � � ���������. The amount <strong>of</strong><br />

condensed water c<strong>an</strong> then be estimated with the following equation (assuming that the<br />

air in point 2 was oversaturated, otherwise �� � ��).<br />

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

This gives a temperature at point 3 <strong>of</strong><br />

�� �<br />

�<br />

������� � � ���<br />

�� ���<br />

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

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

3.2.4 Heating<br />

�<br />

�<br />

� ����� � � ��� ¡ � ���<br />

(3.31)<br />

(3.32)<br />

Heating c<strong>an</strong> be expressed quite easily compared to the other cases, since the humidity<br />

<strong>an</strong>d the mass flow do not ch<strong>an</strong>ge.

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