Iterative Kriging-Based Methods for Expensive Black-Box Models

Reliability-based design optimization (RBDO) in electromagnetic field problems requires the calculation of probability of failure, leading to a huge computational cost in the case of expensive models. Three different RBDO approaches using a kriging surrogate model are proposed to overcome this diffi...

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Bibliographic Details
Published in:IEEE transactions on magnetics 2018-03, Vol.54 (3), p.1-4
Main Authors: Deng, Siyang, El Bechari, Reda, Brisset, Stephane, Clenet, Stephane
Format: Article
Language:English
Subjects:
Analytical models
Approximation
Computational modeling
Criteria
Design optimization
Electric power
Electromagnetic fields
Engineering Sciences
Infill sampling criteria (ISC)
Iterative methods
Kriging interpolation
kriging model
Magnetic circuits
Magnetic cores
Magnetism
Mathematical model
Nonlinear programming
Optimization
Reliability
Reliability analysis
reliability-based design optimization (RBDO)
Sampling methods
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Description
Summary:Reliability-based design optimization (RBDO) in electromagnetic field problems requires the calculation of probability of failure, leading to a huge computational cost in the case of expensive models. Three different RBDO approaches using a kriging surrogate model are proposed to overcome this difficulty by introducing an approximation of the objective function and constraints. These methods use different infill sampling criteria to add samples in the process of optimization or/and in the reliability analysis. Several enrichment criteria and strategies are compared in terms of the number of evaluations and accuracy of the solution.
ISSN:0018-9464
1941-0069
DOI:10.1109/TMAG.2017.2767706