Design of Experiments for Analyzing the Efficiency of a Multi-Coil Wireless Power Transfer System Using Polynomial Chaos Expansion

Pitch distances of single coils in multi-coil wireless power transfer systems have a substantial impact on the efficiency. But traditional full factorial (FF) design of experiments is time-consuming due to the large number of measurements in order to describe the efficiency with varying pitch distances. In this paper, polynomial chaos expansion (PCE) is applied to construct a design of experiments and to obtain a surrogate model of the efficiency of a multi-coil system. Instead of large-scale FF, the proposed method reduces the maximum number of necessary measurements by a factor of 6 to 20, while providing accurate information on the efficiency. The agreement between the results of the PCE function and FF design is analyzed in order to validate the method.