Adaptive unscented transform for uncertainty quantification in EMC large-scale systems

• Moises Ferber ^[1] ; Christian Vollaire ^[1] ; Laurent Krähenbühl ^[1] ; Joao Antonio Vasconcelos ^[2]
  1. [1] University of Lyon System

     University of Lyon System

     Arrondissement de Lyon, Francia

     
  2. [2] UFMG – Laboratorio de Computaçao Evolucionaria
• Localización: Compel: International journal for computation and mathematics in electrical and electronic engineering, ISSN 0332-1649, Vol. 33, Nº 3 (Special Issue: OIPE 2012), 2014, págs. 914-926
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • Purpose – The purpose of this paper is to introduce a novel methodology for uncertainty quantification in large-scale systems. It is a non-intrusive approach based on the unscented transform (UT) but it requires far less simulations from a EM solver for certain models.

    Design/methodology/approach – The methodology of uncertainty propagation is carried out adaptively instead of considering all input variables. First, a ranking of input variables is determined and after a classical UT is applied successively considering each time one more input variable. The convergence is reached once the most important variables were considered.

    Findings – The adaptive UT can be an efficient alternative of uncertainty propagation for large dimensional systems.

    Originality/value – The classical UT is unfeasible for large-scale systems. This paper presents one new possibility to use this stochastic collocation method for systems with large number of input dimensions.