Civil Engineering Reference
In-Depth Information
To illustrate the application of state-space representations, consider the
capacitance of the indoor air node and
C
2
is the thermal capacitance of
the building envelope.
T
o
and
Q
IG
represent the outdoor temperature and
internal heat gains, respectively. The nodes are connected by thermal
conductances.
Fig. 6.11
Second-order RC thermal network for a house
This system can be described by two differential equations:
In this case, it is convenient to select the following state and input vectors:
(6.42)
Equations (6.40)
and
(6.41)
can then be written as follows:
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