论文标题
基于样条的部分元素等效电路方法
A Spline-based Partial Element Equivalent Circuit Method for Electrostatics
论文作者
论文摘要
该贡献研究了静电问题的等几何分析（IGA）与部分元素当量电路（PEEC）方法之间的联系。我们证明，使用IGA的基于样条的几何形状概念允许在没有网络步骤的情况下提取电路元素。此外，提出的IGA-PEEC方法的复杂几何形状收敛速度比常规PEEC方法快三倍，进而，它需要以可比精度来解决问题的自由度明显较低。所得方法与等几何边界元素方法密切相关。但是，它使用最低的基础函数来允许直接的物理和电路解释。这些发现通过复杂的几何形状，即明显的曲率和电涌arter的现实模型的分析示例来验证。
This contribution investigates the connection between Isogeometric Analysis (IgA) and the Partial Element Equivalent Circuit (PEEC) method for electrostatic problems. We demonstrate that using the spline-based geometry concepts from IgA allows for extracting circuit elements without a meshing step. Moreover, the proposed IgA-PEEC method converges for complex geometries up to three times faster than the conventional PEEC approach and, in turn, it requires a significantly lower number of degrees of freedom to solve a problem with comparable accuracy. The resulting method is closely related to the isogeometric boundary element method. However, it uses lowest-order basis functions to allow for straightforward physical and circuit interpretations. The findings are validated by an analytical example with complex geometry, i.e., significant curvature, and by a realistic model of a surge arrester.
