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

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2 <strong>Control</strong> objectives 9<br />

� Metabolism [���] (���� � ��� �� �<br />

�� , sitting calm)<br />

� External work [���]<br />

� �<br />

� ���<br />

� ��<br />

� ��<br />

� �<br />

� ��<br />

� ��<br />

� ���<br />

Water vapour pressure [��]<br />

Air temperature [℃]<br />

Ratio <strong>of</strong> the surface area <strong>of</strong> the clothed body to the surface area <strong>of</strong> the<br />

nude body [-]<br />

Surface temperature <strong>of</strong> the clothing [℃]<br />

Me<strong>an</strong> radi<strong>an</strong>t temperature [℃]<br />

Convective heat tr<strong>an</strong>sfer coefficient [ �<br />

�� ¡� ]<br />

Thermal resist<strong>an</strong>ce <strong>of</strong> clothing [���] (���� � ����� �� ¡�<br />

� )<br />

Relative air velocity [ �<br />

� ]<br />

2.2.2 Inhomogeneous climate<br />

The model by F<strong>an</strong>ger was developed <strong>for</strong> stationary environmental conditions. It gives no<br />

me<strong>an</strong>s <strong>of</strong> including the influence <strong>of</strong> different temperatures <strong>an</strong>d air flows on the body.<br />

A more complex approach is used in the ISO st<strong>an</strong>dard 14505-2 [9] by measuring<br />

temperatures <strong>of</strong> body parts. A com<strong>for</strong>t function chart found in these experiments is given<br />

<strong>for</strong> a winter <strong>an</strong>d a summer case. It is found that a cooler temperature in the head area<br />

is desired, while warm feet lead to maximum com<strong>for</strong>t, especially with cooler ambient<br />

temperatures. This is opposed to the natural air layering where the warmer <strong>an</strong>d lighter<br />

air is on top.<br />

<strong>Control</strong>ling this online would require a lot <strong>of</strong> sensors <strong>an</strong>d actors. There<strong>for</strong>e, this<br />

is usually implemented in hardware in a car HVAC-system. The air flow is optimised in<br />

such way that warm air is output through the foot <strong>an</strong>d defrost outlets, while cooler air<br />

is going directly to the passenger. M<strong>an</strong>ual adaption <strong>of</strong> the direct air flow temperature is<br />

sometimes implemented. Since this is related to the hardware, the temperature layering<br />

will not be regarded further in this work.<br />

The air flow itself c<strong>an</strong> also cause discom<strong>for</strong>t. Higher air speed on the body leads to<br />

higher heat tr<strong>an</strong>sfer coefficients <strong>an</strong>d consequently to <strong>an</strong> intensified temperature sensation.<br />

The effect <strong>of</strong> moving air with ambient temperature is included in the com<strong>for</strong>t calculation<br />

in equation 2.6. Local air jets with a different temperature, however, as they occur in a

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