Unformatted text preview: in storage_tradeoff_data.m, Q = 35,
and C = D = 3. Plot ut , pt , ct , and qt versus t. 144 (c) Storage trade-oﬀs. Plot the minimum total cost versus the storage capacity Q, using p and
u from storage_tradeoff_data.m, and charge/discharge limits C = D = 3. Repeat for
charge/discharge limits C = D = 1. (Put these two trade-oﬀ curves on the same plot.) Give
an interpretation of the endpoints of the trade-oﬀ curves.
16.10 Cost-comfort trade-oﬀ in air conditioning. A heat pump (air conditioner) is used to cool a residence
to temperature Tt in hour t, on a day with outside temperature Ttout , for t = 1, . . . , 24. These
temperatures are given in degrees Kelvin, and we will assume that Ttout ≥ Tt .
A total amount of heat Qt = α(Ttout − Tt ) must be removed from the residence in hour t, where α
is a positive constant (related to the quality of thermal insulation).
The electrical energy required to pump out this heat is given by Et = Qt /γt , where
γt = η Tt
Ttout − Tt is the coeﬃcie...
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- Fall '13
- The Aeneid