modelR3C2

Information

Hypothesis and equations

Here is the electric diagram of the simplified R3C2 building model :

• Ri, Ro, Cs represent the building envelope
• Cs : higher capacity of the system (envelope)
• Ri, Ro : resistances of heavy walls on inner and outer sides
• Rf : equivalent resistance of 3 resistances in parallel
• Rra : air renewal losses
• Rp : out of air renewal losses
• Rie : resistance of light walls
• Qs : solar flux
• Qres : power (heating + internal gains)

Inputs/outputs of the global closed loop system, with parameters of the PI controller (gain K and integration constant Tau) :

Identification of the variables and default values :

Comparison measurement / calculation :

Bibliography

This simplified R3C2 building model is part of the thesis of Chadia Zayane (EMP, 2001), entitled :

Identification d'un modèle de comportement thermique de bâtiment à partir de sa courbe de charge

Instructions for use

Take care to parameter your PID controller with the default values of the table above :

• Gain K = 87.787
• Time constant Tau =1 / 0.0030396

Glazings of the building are represented apart from the R3C2 model by a South equivalent glazed surface with these parameters :

• S : surface of the South equivalent glazing
• Trdir, Trdif : transmission coefficient of the glazing

Known limits / Use precautions

none

Validations

Validated model - Hassan Bouia 01/2016

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Licensed by EDF under a 3-clause BSD-license
Copyright © EDF 2009 - 2023
BuildSysPro version 3.6.0
Author : Hassan BOUIA, EDF (2016)
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Parameters

Connectors

Components