5R1C Model Based off ISO 13790

So far we have been working with 1R1C models. A 5R1C expands on this by having three thermal nodes

• Thermal node of the indoor air $T_{Air}$
• Thermal node of the indoor surface $T_{s}$
• Thermal node of the indoor thermal mass $T_{m}$

Between the nodes are two thermal conductances NOTE: Theses conductances are the inverse of the resistance. It is just another way of representing the thermal system.

• There is a single thermal capacitance of the thermal mass $C_m$

The envelope conductances are

• Window Conductance $H_w$
• Wall Conductance $H_{em}$
• Ventilation Conductance $H_{ve}$

The Wall and Window conductance leads to the outdoor air $T_e$ while the ventilation goes to a supply temperature $T_s$. Note that for simplicity we often set the supply temperature as the outdoor air temperature.

The heat gains are distributed to the Air, Surface, and Mass node by a set of equations

...more coming soon

https://github.com/architecture-building-systems/RC_BuildingSimulator