2018
DOI: 10.1109/tmag.2017.2750901
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A Benchmark TEAM Problem for Multi-Objective Pareto Optimization of Electromagnetic Devices

Abstract: This paper proposes a new benchmark for multi-objective optimization. A solution is furnished which has enabled an extensive search and reliable estimation of the shape of the Pareto front. Field uniformity and sensitivity are considered in the context of robust design. It is argued that the benchmark will provide a challenging target for new algorithms, especially those involving numerical modeling using finite-element codes where the number of objective function calls needs to be minimized for practical desi… Show more

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Cited by 43 publications
(45 citation statements)
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“…Nowadays, much effort is devoted to accelerate the numerical processes in optimization and inverse techniques in industrial and other domains. This example is aimed to solve a seemingly simple, benchmark problem, to find out an optimal distribution of current-carrying turns that should generate a homogeneous magnetic field in a given region [35]. The arrangement of the system is depicted in Fig.…”
Section: Team Benchmarkmentioning
confidence: 99%
“…Nowadays, much effort is devoted to accelerate the numerical processes in optimization and inverse techniques in industrial and other domains. This example is aimed to solve a seemingly simple, benchmark problem, to find out an optimal distribution of current-carrying turns that should generate a homogeneous magnetic field in a given region [35]. The arrangement of the system is depicted in Fig.…”
Section: Team Benchmarkmentioning
confidence: 99%
“…The results were good but the memory issue clearly visible. The hybrid kriging, with the burden of memory accumulation removed, has now been applied to the proposed new TEAM problem, with ten variables, details of which may be found in [11]. To summarize, an air-cored single-layer solenoid made up of 20 coils carries a certain current.…”
Section: Proposed Benchmark Teammentioning
confidence: 99%
“…This algorithm is able to solve single-objective problems (in this case it is called "ESTRA method" [16,17]) and multi-objective problems ("MOESTRA method" [18]). The search in the design space begins in a region of radius d0 (standard deviation) centered at the initial point m0 (mean value); m0 is externally provided, while d0 is internally calculated on the basis of the bounds boxing the variation of the design variables.…”
Section: Optimal Design Of An Electromagnetically Actuated Cantilevermentioning
confidence: 99%