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A User's Manual for DELSOL3 - prod.sandia.gov - Sandia National ...

A User's Manual for DELSOL3 - prod.sandia.gov - Sandia National ...

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1II.C. Field Per<strong>for</strong>mance Calculation<br />

DELSOL will compute field per<strong>for</strong>mance terms <strong>for</strong> specific times, sun an-<br />

gles, or <strong>for</strong> a yearly sampling of times, depending on the choice of IPROB. For<br />

IPROB=O or 4, <strong>for</strong> instance, DELSOL will compute daily and annual averages of<br />

the total per<strong>for</strong>mance and the individual per<strong>for</strong>mance terms. These time averages<br />

are weighted according to the following table:<br />

Quantity Weighting<br />

cosine<br />

shadowing<br />

blocking<br />

attenuation<br />

spillage<br />

insolation '<br />

insolation x cos<br />

insolation x cos x shadowing<br />

insolation x cos x shadowing x blocking<br />

insolation x cos x shadowing x blocking x attenuation<br />

For example, the average blocking from time tl to time t2 is:<br />

< blocking >=<br />

J$: block(t) shadow(t) cosine(t) insolation(t) dt<br />

J: shadow(t) cosine(t) insolation(t) dt<br />

c<br />

The same type of weighting is used in averaging the per<strong>for</strong>mance <strong>for</strong> a user de-<br />

fined field.<br />

1II.D. Cosine Effect<br />

In general, heliostats are not perpendicular to the incident direct insolation.<br />

The total power reflected per unit area of heliostat is proportional to the cosine<br />

6 - S = 6 - t^. The code uses the analytical <strong>for</strong>mulas <strong>for</strong> the heliostat orientation and<br />

the cosine derived in Reference 25. There<strong>for</strong>e, the amount of energy reflected by a<br />

heliostat, S,, is:<br />

where<br />

S, = S x (fi.6) x RMIRL<br />

1<br />

ii - B = -{ 1 + c0~6~cosdt + sin&sin6tcos(pt - ps)}1/2<br />

fi<br />

The angles are defined in Figure 11-2.<br />

74<br />

(1II.D - 1)<br />

(1II.D - 2)

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