摘要
提出用基于有限元的区域分解法计算三维多尺度电场的思路,在有限的计算资源下,同时获得大尺度模型区域和小尺度模型区域的高精度计算结果。针对区域分解法迭代算法收敛速度慢的问题,在没有区域分解法系数矩阵的情况下,导出区域分解法的广义极小残量(GMRES)迭代算法,提高了迭代效率。利用二维电场有限元模型,验证了区域分解GMRES迭代算法的正确性,将算法用于计算高压直流输电接地极的入地电流场,同时获得接地极附近和远离接地极区域的电场分布。
Based on the idea of finite element method, the three-dimensional multi-scale model is calculated by domain decomposition method, in other words, using domain decomposition method to decompose the domain of original problem into micro-model and macro-model and solving sub-domain problem separately by finite element method. In this way, the calculation results of micro-model and macro-model are both obtained under the condition of limited computing resources. In view of slow rate of convergence of domain decomposition iterative algorithm, the generalized minimal residual（GMRES） iterative algorithm for domain decomposition method is derived without coefficient matrix. Specifically, the coefficient matrix of linear equations can＇t be given literally. Compared with 2-D finite element method, the correctness of the generalized minimal residual iteration algorithm is proved and this algorithm can be used to calculate the ground current field of high voltage direct current（HVDC）, the results of electric field distribution near and far from the ground electrode are both obtained.
出处
《电工技术学报》
EI
CSCD
北大核心
2018年第2期225-231,共7页
Transactions of China Electrotechnical Society
基金
国家重点研发计划资助项目(2016YFC0800100)
关键词
有限元法
区域分解法
电场
广义极小残量法
Finite element method, domain decomposition method, electric field, generalized minimal residual method
