| 引用本文: | 王洋洋,蒋兴良.边光滑有限元-边界元耦合法计算二维瞬态涡流场[J].哈尔滨工业大学学报,2021,53(3):137.DOI:10.11918/202001049 |
| WANG Yangyang,JIANG Xingliang.Calculation of 2D transient eddy current field by ES-FEM-BEM coupling method[J].Journal of Harbin Institute of Technology,2021,53(3):137.DOI:10.11918/202001049 |
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| 摘要: |
| 为了提高二维瞬态涡流场的计算精度与速度,结合边光滑有限元法计算精度高和边界元法占用计算机内存少的优点,提出一种基于边光滑有限元法——边界元法相结合的混合算法（ES-FEM-BEM）来计算二维瞬态涡流场. 在相同网格划分密度下,相较于传统的有限元-边界元耦合算法(FEM-BEM)而言,该混合算法具有明显提高计算精度的优点. 同时建立了二维脉冲线圈-铝板模型,并对铝板表面的磁场强度进行计算. 结果表明:在网格划分密度相同的情况,ES-FEM-BEM的计算结果与测量结果的最大相对误差只有3.4%,而FEM-BEM的计算结果与测量结果的最大相对误差达到31.8%. 基于边光滑有限元法和边界元法耦合的混合算法,可为瞬态开域涡流场分析提供重要的参考依据. |
| 关键词: 边光滑有限元法 边界元法 瞬态涡流场 二维磁场计算 |
| DOI：10.11918/202001049 |
| 分类号:TM723 |
| 文献标识码:A |
| 基金项目:国家自然科学基金(51637002) |
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| Calculation of 2D transient eddy current field by ES-FEM-BEM coupling method |
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WANG Yangyang,JIANG Xingliang
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(State Key Laboratory of Power Transmission Equipment & System Security and New Technology (Chongqing University), Chongqing 400044, China)
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| Abstract: |
| To improve the calculation accuracy and speed for 2D transient eddy current field, a method (ES-FEM-BEM) combining edge smoothed finite element method (ES-FEM) and boundary element method (BEM) is proposed in this paper. The method integrates the advantages of ES-FEM and BEM, which has high calculation accuracy and uses less memory. Compared with the traditional FEM-BEM coupling algorithm, ES-FEM-BEM has obvious advantages in improving calculation accuracy with the same meshing density. A 2D impulse coil-aluminum plate model was established, and the magnetic field strength of the aluminum plate surface was calculated. Results show that the maximum relative error between the calculated results obtained by ES-FEM-BEM and the measured results was only 3.4%, whereas the maximum relative error between the calculated results obtained by FEM-BEM and the measured results was up to 31.8%. The proposed method can provide reference for the analysis of transient open boundary eddy current field. |
| Key words: edge smoothed finite element method boundary element method transient eddy current field 2D magnetic field calculation |
