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Methods for robust and reliability-based design optimization of electromagnetic devices

Abstract : This PhD thesis deals with the robust and reliability-based optimization problems under input uncertainty.First, the different categories of stochastic optimization methods to treat the uncertainty are presented. These methods aim to find a more robust and/or reliable solution by minimize the variance of objective and reducing the probability to violate the constraints in different ways. Each categories has various approaches and after comparison, the most effective ones are selected.However, as these methods increase the number of evaluation than deterministic optimization and need the gradient information which may be noisy provided by time-consuming models like finite element models, they are not suitable for the heavy models. So kriging-based meta-model strategies are proposed in this manuscript as it could use the determination of small size sample to approach complex functions and give accurate derivatives. The original objective function and constraints are progressively replaced by kriging meta-models using infill sampling criterion to add samples in the process of optimization. Different strategies including the choice of the criterion and the positioning of sample enrichment for each categories are compared and highlight the most effective ones.Then the optimization approaches developed within this research work are applied to the analytic and finite element models of a transformer for solving an electromagnetic optimization problems.
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Submitted on : Friday, October 26, 2018 - 11:41:06 AM
Last modification on : Friday, July 17, 2020 - 2:54:00 PM
Long-term archiving on: : Sunday, January 27, 2019 - 2:06:43 PM


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  • HAL Id : tel-01905925, version 1


Siyang Deng. Methods for robust and reliability-based design optimization of electromagnetic devices. Other. Ecole Centrale de Lille, 2018. English. ⟨NNT : 2018ECLI0001⟩. ⟨tel-01905925⟩



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