Semi-analytical Solution for a Multi-objective TEAM Benchmark Problem
| Autor: | Ivo Dolezel, Tamás Orosz, Pavel Karban, David Panek |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Mathematical optimization
G.1.10 Computer Networks and Communications Computer science Signal Processing FOS: Mathematics Benchmark (computing) Mathematics - Numerical Analysis Numerical Analysis (math.NA) Electrical and Electronic Engineering Software Computer Science Applications Information Systems |
| Zdroj: | Periodica Polytechnica Electrical Engineering and Computer Science. 65:84-90 |
| ISSN: | 2064-5279 2064-5260 |
| Popis: | Benchmarking is essential for testing new numerical analysis codes. Their solution is crucial both for testing the partial differential equation solvers and both for the optimization methods. Especially, nature-inspired optimization algorithm-based solvers, where is an important study is to use benchmark functions to test how the new algorithm may perform, in comparison with other algorithms or fine-tune the optimizer parameters. This paper proposes a novel semi-analytical solution of the multi-objective T.E.A.M benchmark problem. The goal of the benchmark problem is to optimize the layout of a coil and provide a uniform magnetic field in the given region. The proposed methodology was realized in the open-source robust design optimization framework \=Artap, and the precision of the solution is compared with the result of a fully hp-adaptive numerical solver: Agros-suite. The coil layout optimization was performed by derivative-free non-linear methods and the NSGA-II algorithm. Comment: 15 pages, 7 figures |
| Databáze: | OpenAIRE |
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