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Purpose The electromagnetic modeling of inductively coupled, resonant wireless power transfer (WPT) is dealt with. This paper aims to present a numerically efficient simulation method.Design/methodology/approach Recently, integral equation formulations have been proposed, using piecewise constant basis functions for the series expansion of the current along the coil wire. In the present work, this scheme is improved by introducing global basis functions.Findings The use of global basis functions provides a stronger numerical stability and a better control over the convergence of the simulation; moreover, the associated computational cost is lower than for the previous schemes. These advantages are demonstrated in numerical examples, with special attention to the achievable efficiency of the power transfer.Practical implications The method can be efficiently used, e.g., in the optimal design of resonant WPT systems.Originality/value The presented computation scheme is original in the sense that global series expansion has not been previously applied to the numerical simulation of resonant WPT. [ABSTRACT FROM AUTHOR]

Purpose – The purpose of this paper is to discuss a numerically efficient simulation method for the study of the high-frequency behaviour of air-cored coils. The self-resonance phenomenon of coils can be studied which is important, e.g., in wireless power transfer (WPT). Design/methodology/approach – A full-wave and a quasi-stationary integral formulation is introduced. The integral equation is solved by using the Method of Moments. The complex impedance of the coil is calculated and studied in a wide frequency band. Findings – The integral equation method is numerically efficient compared to finite element schemes, making possible its use in design optimisation problems. Research limitations/implications – The present model can treat homogeneous media only. Future research will focus on the extension of the approach to heterogeneous media. Practical implications – The method can be used in the design optimisation of WPT systems that apply magnetically coupled resonant coils. Originality/value – The presented computation scheme is original. Integral equation schemes have not been used for coil modelling before, to the best of the author’s knowledge. [ABSTRACT FROM AUTHOR]