In this article, we derive low-complexity behavioral analytical models of the mutual inductance between the coupling coils of wireless power transfer systems (WPTSs), as functions of their reciprocal position. These models are extremely useful in the characterization and design optimization of WPTSs. Multiobjective genetic programming algorithm is adopted to generate models ensuring an optimal tradeoff between accuracy and complexity. The training and validation datasets needed for the generation of the models are here obtained by performing numerical full 3-D electromagnetic simulations. The resulting behavioral models allow the accurate and fast evaluation of the WPTS coils mutual inductance, over a wide range of misalignment conditions, enabling easier system analysis and optimization.
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