Sensitivity analysis of models with dynamic inputs Application to the impact of the weather data on the performance of passive houses

Floriane Anstett-Collin (1) , Thierry A. Mara (2) , Lilianne Denis-Vidal (3) , Jeanne Goffart (4)

1 CRAN - Centre de Recherche en Automatique de Nancy
2 PIMENT - Physique et Ingénierie Mathématique pour l'Énergie, l'environnemeNt et le bâtimenT
3 LMAC - Laboratoire de Mathématiques Appliquées de Compiègne
4 USMB [Université de Savoie] [Université de Chambéry] - Université Savoie Mont Blanc

We address the issue of performing UASA with two kinds of uncertain inputs, static and dynamics. The originality of the proposed approach is to separate the random variable of the dynamic inputs, propagated to the model response, from the deterministic spatio/temporal function, using Karhunen-Loève decomposition of the dynamic inputs. The approach is applied to a building energy model, in order to quantify the impact of the weather data on the performance of passive houses.

Mots clés: Sensitivity analysis; dynamic input; Karhunen-Loève decomposition; energy building model

Domaines: Applications [stat.AP]

Floriane Anstett-Collin, Thierry A. Mara, Lilianne Denis-Vidal, Jeanne Goffart. Sensitivity analysis of models with dynamic inputs Application to the impact of the weather data on the performance of passive houses. SIAM Conference on Uncertainty Quantification 2014, Apr 2014, Savannah, Georgia, United States. ⟨hal-00926463⟩