Modelling the heat dynamics of a building using stochastic differential equations
By K. K. Andersen, Henrik Madsen, L. H. Hansen. 2000
197 citations recorded by the source corpus.
This paper describes the continuous time modelling of the heat dynamics of a building. The considered building is a residential like test house divided into two test rooms with a water based central heating. Each test room is divided into thermal zones in order to describe both short and long term variations. Besides modelling the heat transfer between thermal zones, attention is put on modelling the heat input from radiators and solar radiation. The applied modelling procedure is based on collected building performance data and statistical methods. The statistical methods are used in parameter estimation and model validation, while physical knowledge is used in forming the model structure. The suggested lumped parameter model is thus based on thermodynamics and formulated as a system of stochastic differential equations. Due to the continuous time formulation the parameters of the model are directly physical interpretable. Finally, the prediction and simulation performance of the model is illustrated.
Subfields: Building and Construction, Plant Science
View Paper: https://www.semanticscholar.org/paper/c23db883d43dde2545b5d89ce36c69d9a6f07837
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In Building and Construction
In Plant Science
Citations in the corpus
- Economic Model Predictive Control for building climate control in a Smart Grid (2012, methodology): “[19] provides values for building heat capacities and thermal conductivities obtained from system identification methods.”
- A review of uncertainty analysis in building energy assessment (2018, methodology): “Non-sampling uncertainty propagation methods have been used only for a few of applications in the field of building energy analysis: stochastic different equations [150-153] and stochastic collocation [115, 154].”