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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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‘?F,k,l<br />

PCRk,l = -<br />

, CH,k,l<br />

where k = radial zone index<br />

1 = azimuthal zone index<br />

VF,~,J = yearly average field efficiency in zone (IC, I )<br />

CH,k,l = cost of putting 1 m2 of reflective surface in zone (k,l)<br />

relative to the same cost <strong>for</strong> zone (1,l).<br />

In more detail,<br />

‘?F,k,l = ’?COS,k,l x ‘?SHAD,k,/ Xh’?BLO,CK,k,l x ‘?ATM,k,l x ‘?INT,k,l<br />

where ‘?cos= cosine efficiency = 1.0 - cosine loss<br />

‘?SHAD= shadowing efficiency = 1.0 - shadowing loss *<br />

‘?BLOCK= blocking efficiency = 1.0 - blocking loss<br />

VAT-= atmospheric transmittance= 1 .O - atmospheric attenuation<br />

QINT= receiver intercept factor = 1.0 - spillage<br />

The relative mirror cost is comprised of three parts:<br />

CHEL,k,f + CLAND,k,f + CWIRE,k,l<br />

CH,k,l =<br />

CHEL,~,~<br />

+ CLAND,~,~ + CWIR.E,~,~<br />

where CHEL = $ <strong>for</strong> total heliostat structure,<br />

m2 mirror area<br />

equal <strong>for</strong> all heliostats in the field<br />

$ 1<br />

* less dense zones<br />

= ,2 ]and mirror density per zone’<br />

have greater associated land costs per heliostat<br />

$ x 1 * the “$/heliostat” varies<br />

(1V.B - 2)<br />

= heliostat glass area/heliostat’<br />

with local density (greater secondary wiring costs with lower<br />

densities) and distance from the tower (greater primary wiring<br />

costs as the field gets larger), as discussed in the wiring<br />

cost model Section (V.A-3).<br />

A PCRk,l is calculated <strong>for</strong> each zone, and the zones are ranked from best to<br />

worst PCR be<strong>for</strong>e optimization starts. To build up a field, the zones are added<br />

one at a time, starting with the most cost effective, i.e., the one with the highest<br />

PCR. As each zone is added, the design point thermal power to the receiver, the<br />

annual energy <strong>prod</strong>uction from the field, and the total field costs (heliostats, land,<br />

and wiring) are updated. Also, the power dependent receiver and piping radia-<br />

tion and convection losses are recalculated to determine the net electrical power<br />

100

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