A Benchmark TEAM Problem for Multi-Objective Pareto Optimization in Magnetics: The Time-Harmonic Regime

The study presented in this article reformulates and generalizes the TEAM benchmark, originally proposed for multi-objective optimization of magnetic devices under dc conditions, now extending it to the ac regime. A solution is furnished which has enabled an extensive search and reliable estimation of the shape of the Pareto front. Field uniformity and losses are considered with reference to a class of power inductors. It is argued that the benchmark provides a challenging target for new algorithms, especially those involving numerical modeling based on finite-element codes, where the number of objective function calls needs to be minimized for practical designs.