Model of a wireless charging system operating in seawater under rough sea conditions. P. 1

The research is devoted to the development of a complex mathematical and computer model of a wireless battery charging system for autonomous floating vehicles operating in seawater under rough sea conditions. The relevance is due to the lack of models that take into account the combined effect of the variable relative position of coils and the specifics of a highly conductive medium. A mathematical description of a wireless charging system with a sequential LC topology is given. The system model is based on equivalent substitution schemes and describes electromagnetic processes in a resonant circuit. The analysis of various influencing factors is carried out: changes in the relative position of the transmitting and receiving coils due to rough sea conditions, eddy currents in seawater, parasitic capacitive coupling and nonlinearity of semiconductor elements. To account for the influence of oscillatory motions, a step-by-step approximation method is proposed, which makes it possible to represent the mutual inductance in the form of polynomial dependencies on the parameters of rolling, pitching, and vertical movements while maintaining the calculation accuracy and reducing the time spent on calculations. The mathematical description is applicable to the development of engineering methods for calculating wireless charging systems and algorithms for controlling such systems.

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