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Handbook of air conditioning and refrigeration / Shan K

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Calculation Procedure<br />

CLTD/SCL/CLF Method<br />

TETD/TA Method<br />

Weighting factors are transfer function coefficients presented in the form <strong>of</strong> z transform functions.<br />

Weighting factors are so called because they are used to weight the importance <strong>of</strong> current <strong>and</strong><br />

historical values <strong>of</strong> heat gain <strong>and</strong> cooling load on currently calculated cooling loads.<br />

The calculation <strong>of</strong> space cooling load using the transfer function method consists <strong>of</strong> two steps.<br />

First, heat gains or heat loss from exterior walls, ro<strong>of</strong>s, <strong>and</strong> floors is calculated using response<br />

factors or conduction transfer function coefficients; <strong>and</strong> the solar <strong>and</strong> internal heat gains are calculated<br />

directly for the scheduled hour. Second, room transfer function coefficients or room weighting<br />

factors are used to convert the heat gains to cooling loads, or the heat losses to heating loads.<br />

As described in Sec. 6.2, the sensible infiltration heat gain is the instantaneous sensible cooling<br />

load. All latent heat gains are instantaneous latent cooling loads.<br />

The TFM is limited because the cooling loads thus calculated depend on the value <strong>of</strong> transfer<br />

function coefficients as well as the characteristics <strong>of</strong> the space <strong>and</strong> how they are varied from those<br />

used to generate the transfer function coefficients. In addition, TFM assumed that the total cooling<br />

load can be calculated by simply adding the individual components—the superposition principle.<br />

However, this assumption can cause some errors.<br />

The cooling load temperature difference (CLTD)/solar cooling load (SCL)/cooling load factor<br />

(CLF) method first calculates the sensible cooling load based on the TFM. The result is divided by<br />

the U value, shading coefficient, or sensible heat gain to generate the CLTD, SCL, or CLF. Thus, it<br />

provides a direct, one-step space cooling load calculation instead <strong>of</strong> a heat gain–cooling load conversion,<br />

a two-step calculation in TFM. Cooling load calculation using the CLTD/SCL/CLF<br />

method can be either computer-aided or performed manually for a check or rough estimate. The<br />

CLTD/SCL/CLF method is one <strong>of</strong> the members <strong>of</strong> the TFM family.<br />

In the CLTD/SCL/CLF method, the CLTD is used to calculate the sensible cooling load for the<br />

exterior wall <strong>and</strong> ro<strong>of</strong>s. Recently, an SCL factor has been added which represents the product <strong>of</strong> the<br />

solar heat gain at that hour <strong>and</strong> the fraction <strong>of</strong> heat storage effect due to various types <strong>of</strong> room<br />

construction <strong>and</strong> floor coverings. CLF is used to calculate internal sensible cooling loads.<br />

The limitations <strong>of</strong> the TFM are also carried through to the CLTD/SCL/CLF results. Furthermore,<br />

the grouping <strong>of</strong> CLTD/SCL/CLF may cause additional errors.<br />

In the total eqivalent temperature difference (TETD)/time-averaging (TA) method, heat gains <strong>of</strong> a<br />

number <strong>of</strong> representative exterior wall <strong>and</strong> ro<strong>of</strong> assemblies q w, Btu/h (W), are calculated as<br />

q w � AU(TETD) (6.9b)<br />

where A � area <strong>of</strong> wall or ro<strong>of</strong>, ft 2 (m 2 )<br />

U � overall heat-transfer coefficient <strong>of</strong> wall or ro<strong>of</strong>, Btu/h�ft 2 �°F (W/m 2 �°C)<br />

In Eq. (6.9b), TETD, in °F (°C), can be evaluated by:<br />

LOAD CALCULATIONS 6.15<br />

● Using the conduction transfer function as in TFM to determine q w. Then it is divided by the U<br />

value to generate TETD values.<br />

● Using the following relationship:<br />

TETD � T sol, a � T r � �(T sol,� � T sol, a) (6.9c)

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