电器电场有限元精细求解器研究  

Finite Element Method Algorithm with Precise Solver for Electric Apparatus Electric Field

作　　者：冯海文[1,2] 刘晓明[3] 李龙女 朱高嘉 Feng Haiwen;Liu Xiaoming;Li Longnü;Zhu Gaojia(School of Electrical Engineering Shenyang University of Technology Shenyang 110870 China;School of Software Shenyang University of Technology Shenyang 110023 China;Key Laboratory for New Technology of Electrician and Electric Energy in Tianjin Tianjin Polytechnic University Tianjin 300387 China)

机构地区：[1]沈阳工业大学电气工程学院,沈阳110870 [2]沈阳工业大学软件学院,沈阳110023 [3]天津工业大学天津市电工电能新技术重点实验室,天津300387

出　　处：《电工技术学报》2018年第24期5789-5796,共8页Transactions of China Electrotechnical Society

基　　金：国家自然科学基金(51337106);辽宁省科技厅科学事业公益研究基金(2016001005)资助项目

摘　　要：基于自主开发的电器电场精细计算与绝缘分析有限元平台,提出改进区域分解方案,采用边界均匀离散和渐变离散融合方法,以最小内角最大为约束条件,提出改进单元优化涟漪模型,实现单元趋正剖分。求解器中采用动态压缩存储结构及快速访问机制,实现Hermite插值计算有限元电场精细计算,以解决单元质量与计算效率这一矛盾关系。典型计算案例仿真结果表明,趋正度γ≥0.8的优质单元约87%,最小内角不低于40°的优质单元达96%以上。利用本求解器计算550kV SF6断路器灭弧室电场和具有解析解的电场案例,比对分析表明,本算法与Lagrange插值法和Ansys求解器相比,计算精度分别提高290%和150%,平均误差和最大误差均有降低。Based on the self-developed finite element platform for electrical apparatus insulation,a novel mesh algorithm was realized by an improved regions division project.In this project,the boundary uniform dispersion and gradual discrete fusion methods were adopted,the minimum inner angle was taken as the maximum constraint,and the ripple model for mesh optimizing was proposed.Dynamic compressing storage structure and quick access mechanism were adopted in the solver to realize FEM precise computing by Hermite interpolation calculation method.All these measures contributed to deal with contradictions between mesh quality and computing efficiency.The simulation results of typical calculation cases show that the ratio of high-quality messes trending to regular triangle degreeγ≥0.8 is about 87%,and ratio of high-quality messes that minimum native angle of not less than 40°is about 96%.The proposed solver was used to calculate the arc quenching chamber of 550kV SF6 circuit breaker and the typical case with analytic solutions.The comparison analysis shows that the calculation accuracy of the proposed algorithm is 290%and 150%higher than those of Lagrange interpolation calculation method and Ansys Solver respectively,and the average error and maximum error are both decreased.

关 键 词：有限元 精细计算 趋正剖分 SF6灭弧室 Hermite法 压缩存储 

分 类 号：TM151.1[电气工程—电工理论与新技术]