A self and mutual inductance calculation resonators with finite element analysis

This paper presents how to implement the finite element method (FEM) to determine the magnetically coupled coils parameters. The method is applied for computing the parameters of the two resonators used in wireless power transfer (WPT). To compute the parameters corresponding to the resistance, self inductance, capacity and mutual inductance (R, L, C and M), we used CEDRAT Flux 2D software. The results of the 2D analyses are used to calculate the circuit's parameters in order to compute the wireless power transferred to a load. Using FEM we realized two models: the first one in order to determine the values corresponding to L1, R1, L2, R2 and M and the second model to test its functioning in steady state. The two models differs by an electric circuit used to realize the coupling and the numerical models are modeled using the magnetic quasi-stationary state. The wireless power transfer efficiency depends on the coil's shape which can play an important role in the operation of such devices.