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

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3 System description 26<br />

The maximum time const<strong>an</strong>t is easily identified to equal infinity. This is the case if no air<br />

is exch<strong>an</strong>ged with the environment <strong>an</strong>d nothing is ch<strong>an</strong>ging. Furthermore, the minimum<br />

values are found to be (neglecting the water mass in the air) ������ � ���� � �� � <strong>for</strong> the<br />

MUTE car. A much faster reaction is seen as no further “storage” exists apart from the<br />

air.<br />

For the windscreen temperature the ch<strong>an</strong>ging variables are the convection heat<br />

tr<strong>an</strong>sfer coefficients.<br />

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

������� � �������� ¡ ���<br />

(3.22)<br />

The highest time const<strong>an</strong>t is found with a st<strong>an</strong>ding car giving ������� � ��� �. Looking<br />

<strong>for</strong> the maximum, the estimation <strong>of</strong> ������� (equation 3.10) needs to be consulted with the<br />

maximum car speed (here 100 ��<br />

� is chosen). In this way a ������� <strong>of</strong> approximately ��<br />

seconds is obtained.<br />

These values are used <strong>for</strong> controller sample time considerations <strong>an</strong>d give <strong>an</strong> indi-<br />

cation what type <strong>of</strong> control c<strong>an</strong> be used. Due to the involved car parameter they will be<br />

different between car types. Moreover, some (as the infinity) will not occur in reality due<br />

to air leakages not considered here. Consequently some values might be higher th<strong>an</strong> in a<br />

real car. The calculations still give a rough estimation <strong>of</strong> the timescale in which ch<strong>an</strong>ges<br />

in the systems occur. The results show that these happen in the r<strong>an</strong>ge <strong>of</strong> several seconds.<br />

3.2 The HVAC-unit<br />

The HVAC-unit is the actor in the cars thermal system. It draws the air from the outside<br />

or the car cabin (recirculation), cools <strong>an</strong>d/or heats it up <strong>an</strong>d defines the way to blow it<br />

into the cabin. The heat sources (<strong>an</strong>d sinks) are regarded in the following Section 3.3 <strong>for</strong><br />

a heat pump system.<br />

For <strong>an</strong> HVAC-unit several types <strong>an</strong>d layouts exist. The most common type, the<br />

air mix type, is shown in Figure 3.4. The air is drawn by a f<strong>an</strong> from the outside or the<br />

car - chosen by the recirculation flap. Be<strong>for</strong>e flowing through the f<strong>an</strong>, a filter (not drawn<br />

in the picture) prevents dust <strong>an</strong>d other pollution from entering the car. The air passes

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