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2.1 Building energy simulation s<strong>of</strong>tware 45<br />

The state space method is implemented in EnergyPlus for calculating conduction transfer<br />

functions under transient conditions. This technique uses a finite difference grid for<br />

building elements <strong>and</strong> eliminates <strong>the</strong> determination <strong>of</strong> nodal temperatures.<br />

Heat balance on <strong>the</strong> faces <strong>of</strong> external <strong>and</strong> internal zone surfaces (Fig. 2.4) is modeled in<br />

EnergyPlus by using three main components: free <strong>and</strong> forced convection, conduction <strong>and</strong><br />

short- <strong>and</strong> longwave <strong>radiation</strong>.<br />

Fig. 2.4: Heat balance on inside <strong>and</strong> outside faces <strong>of</strong> <strong>the</strong> zone surfaces<br />

The following equation illustrates <strong>the</strong> heat exchange on an inside surface:<br />

� CON � q LWR,<br />

ex + qLWR,<br />

eq + qSWR,<br />

l + qSWR,<br />

si + qCONV<br />

, (2.5)<br />

where:<br />

qCON – conduction flux,<br />

qLWR,ex – longwave <strong>radiation</strong> flux between inside surfaces,<br />

qLWR,eq – longwave <strong>radiation</strong> flux from equipment,<br />

qSWR,l – shortwave <strong>radiation</strong> flux from lights,<br />

qSWR,si – <strong>solar</strong> <strong>radiation</strong> flux,<br />

qCONV – convection flux.<br />

The heat balance on <strong>the</strong> external side <strong>of</strong> building walls is calculated as follows:<br />

′′ ′′ ′′ ′′ ′′ ′′ , (2.6)<br />

q CON = qSWR,<br />

se + qCONV<br />

+ qLWR,<br />

gr + qLWR,<br />

sky + qLWR,<br />

air<br />

where:<br />

Longwave <strong>radiation</strong> - qLWR,e<br />

Convection - qCONV,e<br />

Shortwave <strong>radiation</strong> - qSWR,e<br />

′′ – direct <strong>and</strong> indirect <strong>solar</strong> <strong>radiation</strong> flux,<br />

q SWR,<br />

se<br />

Conduction-qCON<br />

Longwave <strong>radiation</strong> - qLWR,i<br />

external environment internal environment<br />

Convection - qCONV,i<br />

Shortwave <strong>radiation</strong> - qSWR,i

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