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Abstract

The paper discusses the strategy of searching for the extreme of multi-modal functions with the number of decision variables n ≥ 6, in a multidimensional design space. The optimization algorithm combining an evolution strategy (ES) with operators of a genetic algorithm has been proposed. The method of selecting subspaces that allows for narrowing of the design space has been proposed. The effectiveness of the proposed approach has been demonstrated on two selected test systems with eddy currents. First, the equivalent multi-branch Foster circuit of a solenoid coil with a massive conducting core has been determined. Next, the proposed approach has been applied in the analysis of a high frequency transformer, working in a wireless power transmission (WPT) system. In the second case, the equivalent circuit of the transformer has been formed by means of multi-branch Cauer circuits. Selected results of the calculations have been presented and discussed. The obtained results have been compared with the results of the performed finite element analysis (FEA) of the considered test systems.

Keywords

Optimization genetic algorithm eddy current problem Foster circuit Cauer circuit

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