An Adaptive Fast Multipole Higher Order Boundary Element Method for Power Frequency Electric Field of Substation

• 作者: 何为 唐炬 张占龙 肖冬萍 邓军
• 来源期刊: 中国物理快报(英文版)
• 学科: 物理学
• 关键词: 500千伏变电站 多极展开 工频电场 边界元法 自适应 有限元方法 高阶 GMRES方法
• 年，卷（期）: 2010,（3）
• 页码范围: 144-147
• 页数: 4页
• 分类号: O442 TM63
• 语种: 英文

摘要

An adaptive fast multipole higher order boundary element method combining fast multipole (FM) with a higher order boundary element method is studied to solve the power frequency electric field (PFEF) of substations. In this new technique, the iterative equation solver GMRES is used in the FM, where matrix-vector multiplications are calculated using fast multipole expansions. The coefficients in the preconditioner for GMRES are stored and are used repeatedly in the direct evaluations of the near-field contributions. Then a 500kV outdoor substation is modeled and the PFEF of the substation is analyzed by the novel algorithm and other conventional methods. The results show that, in computational cost and the storages capability aspects, the algorithm proposed in this study has obvious advantages. It is suitable for the calculation of the large-scale PFEF in complex substations and the design of electromagnetic compatibility.