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Fault Detection and Diagnostics for Rooftop Air Conditioners

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44<br />

as an independent feature only <strong>for</strong> very large liquid-line restriction faults. However, lowcost<br />

is an advantage of using temperature drop as the feature.<br />

To detect small liquid-line restriction faults, the pressure drop could be used.<br />

However, pressure measurements are relatively expensive. There<strong>for</strong>e, an approximate<br />

scheme should be developed. Figure 1-10 illustrates the relevant components <strong>and</strong> state<br />

variables.<br />

P 3<br />

T cond<br />

P cond<br />

P 2<br />

900<br />

Drier/Filter<br />

T up<br />

P up<br />

T 3<br />

COND<br />

T 2<br />

P [psia]<br />

500<br />

200<br />

100<br />

T 3 P 3<br />

T up P up<br />

T sat<br />

P sat<br />

P 2<br />

T 2<br />

EXP<br />

T 4<br />

P 4<br />

EVAP<br />

P 1<br />

50<br />

30<br />

T 4 P<br />

P 1<br />

4<br />

T 1<br />

80 100 120 140 160 180<br />

T evap<br />

P evap<br />

T 1<br />

h [Btu/lb m ]<br />

Figure 1-10 Vapor Compression Cycle Illustration<br />

Using the nomenclature defined in Figure 1-10, the pressure drop across the<br />

filter/dryer is<br />

∆Pll = P3<br />

− P up<br />

P<br />

3<br />

can be approximated very well by P cond<br />

= P sat<br />

( T cond<br />

) if T<br />

cond<br />

can be measured properly<br />

because the condenser pressure drop resulting from liquid refrigerant flow is small (less<br />

than 3 psi). The key point <strong>for</strong> this technique is placement of the condenser temperature<br />

sensor, because a non-saturated temperature would result in large estimation error,<br />

especially if a superheated temperature were measured. A relatively safe approach is to<br />

place the temperature sensor at the point where different condensing circuits are<br />

combined, where the refrigerant is almost never superheated unless the refrigerant charge<br />

44

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