A parametric simulation of the wireless power transfer with inductive coupling for electric vehicles, and modelling with artificial bee colony algorithm

•A parametric simulation of the wireless power transfer with inductive coupling.•FEA simulations and mathematical modelling with artificial bee colony algorithm.•A novel expression without measurement and sophisticated mathematics. In recent years, electrical power transmission has been intensified by the use of wireless power transfer (WPT). In this study, a new mathematical expression that calculates the efficiency of the charging process for a single phase coreless transformer and the inductive power transmission circuit that can be used in the wireless charging station of electric vehicles was proposed. An experimental design was performed by using central composite design and ranges of a few parameters selected for the transformer and power transmission circuit for 540 simulations. The expression that calculates the charging efficiency was obtained by using the artificial bee colony algorithm. An expression that consists of optimization variables and efficiency parameters and also conforms to simulation data was obtained. The variables of expression in the optimization process were determined optimally by harmonizing of the simulation results and the outputs of expression produced by using the artificial bee colony algorithm. The results show that the analyzes of the WPT circuits related to the charging efficiency can be easily calculated with the proposed expression without considering simulation, measurement and sophisticated mathematics.