| 无单元法在电磁场数值计算中的应用研究 |
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| 引用本文： | 刘素贞,杨庆新,陈海燕,寇晓东. 无单元法在电磁场数值计算中的应用研究[J]. 电工技术学报, 2001, 16(2): 30-33 |
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| 作者姓名： | 刘素贞 杨庆新 陈海燕 寇晓东 |
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| 作者单位： | 1. 河北工业大学电气信息学院
2. 清华大学水利水电工程系 |
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| 基金项目： | 河北省自然科学基金重点资助项目! (5 990 17 |
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| 摘 要： | 无单元法的突出特点是可以求解复杂边界条件的边值问题 ,它可以根据场函数的特性布置随机节点 ,只需节点信息 ,无需单元信息 ,解决了有限元方法中前处理困难的问题 ,它的理论基础是滑动最小二乘法。其基本思想是将计算场域离散成若干节点 ,由滑动最小二乘法来拟合场函数 ,从而摆脱了单元的限制 ,具有精度高、计算速度快的特点 ,是解决工程电磁场问题的又一新的有效方法
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| 关 键 词： | 电磁场 无单元法 滑动最小二乘法 |
| 修稿时间： | 2000-11-06 |
The Element-Free Method for Electromagnetic Calculation |
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| Liu Suzhen,Yang Qingxin,CHEN Haiyan,Kou Xiaodong. The Element-Free Method for Electromagnetic Calculation[J]. Transactions of China Electrotechnical Society, 2001, 16(2): 30-33 |
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| Authors: | Liu Suzhen Yang Qingxin CHEN Haiyan Kou Xiaodong |
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| Affiliation: | Liu Suzhen Yang Qingxin Chen Haiyan(Hebei University of Technology 300130 China) Kou Xiaodong(Qinghua University 100084 China) |
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| Abstract: | A new computation method of electromagnetic field element free method (EFM) is proposed. EFM only needs the information of nodes. Furthermore, the nodes can be distributed on needs. The main advantage is that it can solve complicated problems with arbitrary shapes, which finite element method (FEM) can not solve effectively. For example, when computing the electromagnetic force on the close state and studying the problems with odd shaped working gap, bigger errors occurs using FEM, but with EFM this problem can be avoided. The theoretical foundation of EFM is moving least-squares (MIS) . Detailed research is conducted on some key problems, such as the selection of weight function, the selection of influence radii of nodes. And according to the theory of minimum of energy, penalty function is introduced in order to give boundary conditions. |
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| Keywords: | Electromagnetic field Element free method(EFM) Moving least squares(MLS) |
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