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Fault Detection and Diagnostics for Rooftop Air Conditioners

Fault Detection and Diagnostics for Rooftop Air Conditioners

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89<br />

Q & Cap<br />

= W & × EER<br />

(5-2)<br />

The energy consumption is estimated as the product of the average power<br />

consumption (W & ) <strong>and</strong> the runtime ( T ) <strong>for</strong> mechanical cooling/heating according to<br />

equation (5-3).<br />

E = W & × T<br />

(5-3)<br />

Substituting equations (5-1) <strong>and</strong> (5-2) into equation (5-3) gives<br />

QLoad<br />

E = (5-4)<br />

EER<br />

If the EER were degraded by a factor of α ( EER = ( 1−α)<br />

EER ), then the energy<br />

consumption would increase by a factor of<br />

fault<br />

Normal<br />

α<br />

. For example, if the EER degraded<br />

1−α<br />

21 % , the energy consumption would increase 26 .6%<br />

. In other words, if faults were<br />

corrected the energy savings would be 26 .6%<br />

. In general, the maximum energy savings<br />

associated with maintaining the equipment at normal per<strong>for</strong>mance levels are<br />

α α Q<br />

E<br />

Savings<br />

= × E = ×<br />

1−α<br />

1−α<br />

EER<br />

Load<br />

Normal<br />

(5-5)<br />

The cooling load can be related to the cooling capacity <strong>and</strong> run time according to<br />

Q<br />

= Q & ( 1−<br />

β T<br />

(5-6)<br />

Load Cap, Normal<br />

)

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