Semi-analytical Solution for a Multi-objective TEAM Benchmark Problem

Authors

  • Pavel Karban
    Affiliation

    Department of Theory of Electrical Engineering, University of West Bohemia, 301 00 Pilsen, 2732/8 Univerzitní, Czech Republic

  • David Pánek
    Affiliation

    Department of Theory of Electrical Engineering, University of West Bohemia, 301 00 Pilsen, 2732/8 Univerzitní, Czech Republic

  • Tamás Orosz
    Affiliation

    Department of Theory of Electrical Engineering, University of West Bohemia, 301 00 Pilsen, 2732/8 Univerzitní, Czech Republic

  • Ivo Doležel
    Affiliation

    Department of Theory of Electrical Engineering, University of West Bohemia, 301 00 Pilsen, 2732/8 Univerzitní, Czech Republic

https://doi.org/10.3311/PPee.16093

Abstract

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 Ārtap, 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.

Keywords:

multi-objective optimization, finite element methods, design optimization, evolutionary computation

Published Online

2021-04-27

How to Cite

Karban, P., Pánek, D., Orosz, T., Doležel, I. “Semi-analytical Solution for a Multi-objective TEAM Benchmark Problem”, Periodica Polytechnica Electrical Engineering and Computer Science, 65(2), pp. 84–90, 2021. https://doi.org/10.3311/PPee.16093

Issue

Section

Articles