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Wireless Sensor and Actuator Networks for Lighting Energy ...

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The physical limitations of light outputs from the luminaires are also posed as<br />

constraints to the linear programming problem. As a result, if the number of constraints<br />

(present occupants) is close to or even exceeds that of the variables (number of<br />

luminaires), it is very likely that the optimization simply becomes overly stringent <strong>and</strong><br />

yields no feasible regain <strong>for</strong> an optimal solution. The over-constraining issue signifies<br />

the critical link between degrees of freedom <strong>and</strong> scalability. In short, the scalability<br />

potential of the lighting system depends more on the ratio of the luminaires <strong>and</strong> the<br />

occupants than the size of the office or the total number of the luminaires. In practice, a<br />

well-lit shared-space office generally has the proper number of luminaires appropriately<br />

arranged to deliver designed lighting <strong>and</strong> it usually accommodates a reasonable number<br />

occupants. There<strong>for</strong>e, scalability of the system will not be an issue <strong>for</strong> a typical office.<br />

Higher-level system design is necessary to make the current lighting control<br />

system ready <strong>for</strong> practical realization. Although not considered in the previous tests,<br />

exceptional cases have to be accounted <strong>for</strong>. One extreme would occur when the<br />

available daylight alone already exceeds occupants’ lighting preferences. There will be<br />

no way <strong>for</strong> the lighting system to generate light settings that counterbalance excessive<br />

light. This worst-case scenario points to future research of integrating the automatic<br />

shading system discussed in Chapter 10.3.2. The antithesis of the over-lit condition<br />

arises when the occupants’ lighting requirements cannot be satisfied even if the settings<br />

<strong>for</strong> electric lights have maxed out. This will most likely happen in legacy buildings that<br />

are originally under-lit in the first place. Furthermore, the testing scenarios in the<br />

previous sections assumed no change on occupancy status during the test. In reality,<br />

occupancy change will certainly trigger new iterations of lighting optimization, where<br />

178

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