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

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8 System <strong>an</strong>d functionality integration 73<br />

���������������������������<br />

���<br />

���<br />

���<br />

���<br />

���<br />

���<br />

���<br />

��<br />

����������������������������<br />

� ����� ������������������<br />

������������������ ���� ����<br />

��������������<br />

������������������������<br />

���� ���� �����<br />

��<br />

��� ��� �� ��� ��� ���<br />

�����������������<br />

���� ���� �����<br />

���� ����� �������<br />

Figure 8.1: A way to estimate the fogging affinity given in equation 2.3.<br />

<strong>an</strong>d � are found by the vertical <strong>an</strong>d horizontal crossings with the saturation function.<br />

They c<strong>an</strong> be calculated with the help <strong>of</strong> equation 2.1, here referred to as � ��� � � �� �.<br />

� ��� � � �� ���<br />

� � � � � � ������<br />

(8.1)<br />

There are small errors calculating � � with the inverse function if � � � � ℃ because <strong>of</strong><br />

the switch in the parameters (see Table 2.1). They are not import<strong>an</strong>t to the estimation,<br />

though <strong>an</strong>d do not justify a recalculation with ch<strong>an</strong>ged parameters.<br />

Having found these points, the temperature <strong>of</strong> the closest point to � on the segment<br />

�� is <strong>of</strong> interest. It is given by the following equation:<br />

�� � �� ����� � ¡ �� ������������� (8.2)<br />

The values <strong>of</strong> the points �, �, <strong>an</strong>d� are inserted <strong>an</strong>d the vapour pressure is scaled with<br />

the factor � ���� from equation 2.2 in order to obtain a correct <strong>an</strong>gle ����� ��� in the

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