The Adaptive Controlled Stratification Method Applied to the Determination of Extreme Interference Levels in EMC Modeling With Uncertain Input Variables

Philippe Besnier (1) , Mourad Larbi (1, 2) , Bernard Pecqueux (2)

1 IETR - Institut d'Électronique et des Technologies du numéRique
2 DAM/GRAMAT - GRAMAT

This paper deals with electromagnetic compatibility simulations at early design stage of equipment or systems development. In this context, expensive simulations based on rigorous modeling are performed, including numerous uncertain variables. The most important configurations are those associated to extreme values of the observed quantity. In this paper we introduce a variance reduction technique to accelerate the estimation of an extreme quantile of theoutput distribution. The approach is based on using a simple model (at a low computational cost) to identify relevant realizations of uncertain variables in strata partitioning the output space of the model. Applicationof the method is detailed on a rather simple cable system in order to estimate an extreme quantile level ofan interfering current. We show that extreme current values are obtained at a reduced computational costcompared to a standard empirical quantile estimation.

Mots clés: variance reduction; uncertainty propagation; quantile estimation; crosstalk; electromagnetic interference

Domaines: Sciences de l'ingénieur [physics]; Electromagnétisme

Philippe Besnier, Mourad Larbi, Bernard Pecqueux. The Adaptive Controlled Stratification Method Applied to the Determination of Extreme Interference Levels in EMC Modeling With Uncertain Input Variables. IEEE Transactions on Electromagnetic Compatibility, 2016, 58 (2), pp.543-552. ⟨10.1109/TEMC.2015.2510666⟩. ⟨hal-01288646⟩