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

TL;DR

This paper presents a method for reducing the complexity of linear time-varying models in building thermal and airflow simulations, significantly decreasing computation time while maintaining accuracy.

Contribution

It introduces a novel implementation of model reduction for linear time-varying systems applied to building simulation, demonstrating efficiency gains without sacrificing accuracy.

Findings

Reduced models significantly cut computation time

Negligible accuracy loss with model reduction

Validated with experimental and simulation data

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.