Robust Multi-Objective TEAM 22 Problem: A Case Study of Uncertainties in Design Optimization

This paper describes a robust version to the TEAM 22 benchmark optimization problem and presents the methodology WCSA (worst case scenario approximation) to solve this problem and other similar cases. The robust multi-objective TEAM 22 model was built from its classical configuration by assuming the...

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Bibliographic Details
Published in:IEEE transactions on magnetics 2009-03, Vol.45 (3), p.1028-1031
Main Authors: Soares, G.L., Adriano, R., Maia, C.A., Jaulin, L., Vasconcelos, J.A.
Format: Article
Language:English
Subjects:
Approximation
Cross-disciplinary physics: materials science
rheology
Current density
Design engineering
Design optimization
Exact sciences and technology
Genetic algorithms
Magnetism
Magnetostatics
Materials science
Mathematical analysis
Mathematical models
Optimization
Other topics in materials science
Pareto optimality
Pareto optimization
Physics
robust multi-objective optimization
robust Pareto front
Robustness
Samarium
Superconducting coils
Superconducting magnetic energy storage
TEAM 22
Uncertainty
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Summary:This paper describes a robust version to the TEAM 22 benchmark optimization problem and presents the methodology WCSA (worst case scenario approximation) to solve this problem and other similar cases. The robust multi-objective TEAM 22 model was built from its classical configuration by assuming the imprecisions in the design space. General and specific robust optimization formulas were developed to elaborate WCSA approach. WCSA adds an uncertainty parameter in the objective and constraint functions to perform the role of the system's imprecisions. A multi-objective genetic algorithm approach was chosen to deal with the robust formulation and to find out the set of robust minimizers that matches with the problem requirements. The behavior of the robust Pareto front is also examined.
ISSN:0018-9464
1941-0069
DOI:10.1109/TMAG.2009.2012563