The inclusion of high energy density permanent magnet (PM) in MG contributes to the high eddy current loss in magnetic gear and reduces its efficiency. There was limited research done that focused on gear efficiency behavior over a broader range of speed and in different gear ratios. In this paper,the function of gear efficiency concerning gear ratio and rotational speed is proposed. Torque and eddy current loss data were obtained through transient magnetic analysis using finite element software at several rotational ranges and gear ratios. The analytical approach through mathematical substitution was discussed to confirm the finding in the simulation. The result showed that the gear efficiency decreases as the speed increases. Nonetheless, the gear efficiency revealed improvement in efficiency as the gear ratio increases. Finally, gear efficiency behavior was modeled using the curve fitting method. Subsequently, based on the correlation study, an equation was proposed, yielding a 1% error compared to the new simulated data. With this proposed method and equation, the analysis and estimation of gear efficiency behavior over wider speed and gear ratios are simplified, thus reducing the need to perform simulation over different speeds and gear ratios.

中文翻译：

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基于有限元和曲线拟合的齿轮效率估算方法

MG中包含高能量密度永磁体（PM）会导致电磁齿轮中的高涡流损耗并降低其效率。所做的有限研究集中在更宽的速度范围和不同的传动比下的齿轮效率行为。提出了齿轮效率与齿轮比和转速的关系。扭矩和涡流损耗数据是通过使用有限元软件在几个旋转范围和传动比下进行的瞬态磁分析获得的。讨论了通过数学替代的分析方法，以确认仿真中的发现。结果表明，齿轮效率随着速度的增加而降低。但是，随着齿轮比的增加，齿轮效率显示出效率的提高。最后，使用曲线拟合方法对齿轮效率行为进行建模。随后，基于相关性研究，提出了一个方程，与新的模拟数据相比，误差为1％。使用此提出的方法和方程式，简化了在较宽的速度和传动比下的齿轮效率行为的分析和估计，从而减少了在不同速度和传动比下执行仿真的需要。