Inductive coupling based wireless power transfer (WPT) is a popular short-range power delivery mechanism for many industrial, biomedical, and home electronic appliances applications. A numerical methodology is needed for the analysis of the electromagnetic propagation, radiation, scattering and coupling of highly efficient WPT systems. This study is based on the discontinuous Galerkin time-domain (DGTD) finite element method. A brief survey of the DGTD method is given, which is a finite element method using discontinuous piecewise polynomials as basis functions and numerical fluxes based on up-winding for stability. DGTD method is characterized by the fact that no continuity is enforced between the elements, then it is easy to parallelize and results in fast solvers. Even though the finite element method is used by a few researchers to study WPT problems, we found no study using the DGTD method to study WPT problems, which is surprising given that this discretization technique seems particularly well suited for these problems. A design of two coils at the frequency of 3 MHz is introduced, and the effects of the distance and misalignment between two coils on the mutual coupling are studied. The numerical results are validated by experimental and analytical results.

中文翻译：

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一种用于无线电力传输线圈电磁建模的三维不连续伽辽金时域有限元方法

基于电感耦合的无线功率传输 (WPT) 是一种流行的短距离功率传输机制，适用于许多工业、生物医学和家用电子设备应用。需要一种数值方法来分析高效 WPT 系统的电磁传播、辐射、散射和耦合。本研究基于不连续伽辽金时域 (DGTD) 有限元方法。DGTD 方法是一种有限元方法，该方法使用不连续分段多项式作为基函数和基于上旋的数值通量以确保稳定性。DGTD 方法的特点是元素之间不强制执行连续性，因此易于并行化并产生快速求解器。尽管少数研究人员使用有限元方法来研究 WPT 问题，但我们发现没有使用 DGTD 方法研究 WPT 问题的研究，这令人惊讶，因为这种离散化技术似乎特别适合这些问题。介绍了频率为3 MHz的两个线圈的设计，研究了两个线圈之间的距离和错位对互耦合的影响。数值结果得到了实验和分析结果的验证。