  In this study, an equivalent circuit model is presented to emulate the
behavior of a metamaterial-based wireless power transfer system. For this
purpose, the electromagnetic field simulation of the proposed system is
conducted in ANSYS high frequency structure simulator. In addition, a numerical
analysis of the proposed structure is explored to evaluate its transfer
characteristics. The power transfer efficiency of the proposed structure is
represented by the transmission scattering parameter. While some methods,
including interference theory and effective medium theory have been exploited
to explain the physics mechanism of MM-based WPT systems, some of the reactive
parameters and the basic physical interpretation have not been clearly
expounded. In contrast to existing theoretical model, the proposed approach
focuses on the effect of the system parameters and transfer coils on the system
transfer characteristics and its effectiveness in analyzing complex circuit.
Numerical solution of the system transfer characteristics, including the
scattering parameter and power transfer efficiency is conducted in Matlab. The
calculation results based on numerical estimation validates the full wave
electromagnetic simulation results, effectively verifying the accuracy of the
analytical model.
