Mutual Inductance Modeling for the Analysis of the Impact on Wireless Power Transfer Systems

In this paper, an analytical behavioral model is proposed to describe the dependence of the mutual inductance on the real trajectory of an electrical vehicle recharged by a dynamic Wireless Power Transfer (WPT) system. The model is derived by using the MATLAB Curve Fitting Toolbox, based on a limited set of data provided by a 3D magneto quasi-static numerical solver. The mutual inductance behavioral model is herein referenced to a magnetic link designed for a 1:2-scaled WPT system and experimentally validated. This model can be easily implemented in electronic circuit simulators to estimate the currents flowing in the coils in the real operating conditions of the vehicle motion, which are essential in view of predicting the electromagnetic field around the coils, and assessing both human exposure and electromagnetic compatibility.