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Design Sensitivity Analysis for Shape Optimization of Nonlinear Magnetostatic Systems
Kuci, Erin; Duysinx, Pierre; Dular, Patrick et al.
2015COMPUMAG 2015 (20th Conference on the Computation of Electromagnetic Fields)
 

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Keywords :
design sensitivity analysis,; adjoint variable method; direct method; continuum approach; magnetostatic system; shape optimization
Abstract :
[en] In this paper, a direct and an adjoint analytic sensitivity analysis for a nonlinear magnetostatic system is obtained, in the context of shape optimization for any design function. The calculations are based on the material derivative concept of continuum mechanics. The resulting sensitivity formula can be expressed as either a volume integral or as a boundary integral along the interface where shape modification occurs. A method for the calculation of the design velocity field and mesh updating scheme is introduced as well. The accuracy of the methodology is analysed on an inductor system, suggesting that the volume integration technique should be preferred. All methods are freely available for further testing in the open source environment GetDP/Gmsh.
Disciplines :
Electrical & electronics engineering
Author, co-author :
Kuci, Erin ;  Université de Liège > Département d'aérospatiale et mécanique > Ingénierie des véhicules terrestres
Duysinx, Pierre  ;  Université de Liège > Département d'aérospatiale et mécanique > Ingénierie des véhicules terrestres
Dular, Patrick ;  Université de Liège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE)
Geuzaine, Christophe  ;  Université de Liège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE)
Language :
English
Title :
Design Sensitivity Analysis for Shape Optimization of Nonlinear Magnetostatic Systems
Publication date :
June 2015
Event name :
COMPUMAG 2015 (20th Conference on the Computation of Electromagnetic Fields)
Event place :
Montréal, Canada
Event date :
from 28-06-2015 to 02-07-2015
Audience :
International
References of the abstract :
Proceedings of COMPUMAG 2015
Available on ORBi :
since 15 January 2016

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