Time-variant Linear reduction model approximation : application to thermal and airflow building simulation

2012/12/21 by Thierry Berthomieu, Berthomieu, Thierry, Harry Boyer +1
Decision Sciences · Environmental Science · Physics and Astronomy · #Computational Engineering #FOS: Computer and information sciences #Finance #Model Reduction and Neural Networks #Probabilistic and Robust Engineering Design #Wind and Air Flow Studies #and Science (cs.CE)

paper · pdf · doi:10.48550/arxiv.1212.5593

openalex publication_date 2012/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Considering the natural ventilation, the thermal behavior of buildings can be described by a linear time varying model. In this paper, we describe an implementation of model reduction of linear time varying systems. We show the consequences of the model reduction on computing time and accuracy. Finally, we compare experimental measures and simulation results using the initial model or the reduced model. The reduced model shows negligible difference in accuracy, and the computing time shortens.

Citations

• Principal component analysis in linear systems: Controllability, observability, and model reduction

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