多导线电容矩阵边界元计算方法及精度研究
Boundary Element Method for Calculating Multi-strand Wires
Capacitance Matrix and the Study of its Computational Accuracy
摘要 阐述了多根导线电容矩阵的边界元数值方法,分析了开阔边界和单元离散尺寸对计算精度的影响。结果表明,为保证计算精度,导线的边界单元需离散得足够精细,开阔边界应为模型尺寸的50 倍以上。并通过有限元软件仿真对计算结果进行了验证。
关键词 多根导线;电容矩阵;边界元法;开阔边界;单元离散
Abstract The boundary element method (BEM) was described for calculating the
capacitance matrix of multi-strand wires, and the influences of open boundary and
discretized elements size on computational accuracy were analyzed. The computed
results show that the elements on wires boundary should be discretized fine enough
to ensure computational accuracy, and the open boundary should be more than 50
times the model size. The calculated results were verified by simulation using finite
element method (FEM) software.
Keywords multi-strand wires; capacitance matrix; boundary element method; open
boundary; element discretization