Sensitivity Analysis for Multi-Objective Optimization of the Benchmark TEAM Problem
Autor: | Seungjae Min, Minsik Seo, Namhee Ryu |
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Rok vydání: | 2020 |
Předmět: |
010302 applied physics
Mathematical optimization Optimization problem Computer science Minimax problem Material derivative Expression (computer science) 01 natural sciences Multi-objective optimization Electronic Optical and Magnetic Materials 0103 physical sciences Benchmark (computing) Sensitivity (control systems) Electrical and Electronic Engineering |
Zdroj: | IEEE Transactions on Magnetics. 56:1-4 |
ISSN: | 1941-0069 0018-9464 |
Popis: | In this article, the design sensitivity is examined using the material derivative concept of the shape sensitivity analysis to use a gradient-based algorithm for the multi-objective benchmark testing electromagnetic analysis methods (TEAMs) problem. To calculate the shape sensitivity, the original objective functions are replaced with the definite integral form of the functionals, and the p-norm expression is used to handle the minimax problem. The computed sensitivities are validated using the finite-difference numerical sensitivities. The validity of the modified objectives is demonstrated using the results of the single-objective optimization. The results show that the analytical sensitivities agree well with the numerical ones, and the modified objective functions are valid for the benchmark optimization problem. |
Databáze: | OpenAIRE |
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