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Advanced Building Simulation

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180 Mahdavi<br />

Preference index Preference index<br />

1.0<br />

0.8<br />

0.6<br />

0.4<br />

0.2<br />

0<br />

a<br />

0<br />

a<br />

b<br />

b<br />

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0<br />

1.0<br />

0.8<br />

0.6<br />

0.4<br />

0.2<br />

0<br />

c<br />

0 3 6 9 12 15 18 21 24 27 30<br />

d<br />

0<br />

500<br />

1,000<br />

1,500<br />

2,000<br />

2,500<br />

3,000<br />

3,500<br />

4,000<br />

4,500<br />

5,000<br />

e<br />

0 0.3 0.6 0.9 1.2 1.5 1.8 2.1 2.4 2.7 3.0<br />

the study of the relative implications of the impact of various performance indicators<br />

in view of preferable control strategies. To generate suitable schemes for daylightresponsive<br />

electrical lighting control, we considered two possibilities. The first possibility<br />

involves the simultaneous assessment of various combinations of the states<br />

of the daylighting and electrical lighting control devices. This strategy requires, due<br />

to the potentially unmanageable size of the resulting control state space, a reduction<br />

of the possible number of states: Let D be the number of luminaires (or luminaire<br />

groups) and P the number of dimming positions considered for each luminaire. Using<br />

Equation (7.4), the total number of resulting possible combinations (control states)<br />

can be computed. For example, for D � 4 and P � 10, a total of 1,048,576 possible<br />

electrical lighting control states results. Assuming eight daylight control states (eight<br />

louver positions), a total of 8,388,608 simulation runs would be necessary at each<br />

c, d, e<br />

2 4 6 8 10 12 14 16 18 20<br />

Figure 7.10 Illustrative preference functions for selected performance variables (a) Average<br />

illuminance in lx; (b) Uniformity; (c) DGI; (d) CGI; (e) GCRT.

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