Multi-Scale Finite Element Method Applied in 3D Nonlinear Problem
Numerical calculation of electromagnetic fields plays an important role in the design of electrical equipment. However, due to the special structure of certain equipment, traditional numerical calculation methods often meet great difficulties when dealing with such problems. For example, in the desi...
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| Vydané v: | 2024 IEEE 21st Biennial Conference on Electromagnetic Field Computation (CEFC) s. 1 - 2 |
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02.06.2024
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| Abstract | Numerical calculation of electromagnetic fields plays an important role in the design of electrical equipment. However, due to the special structure of certain equipment, traditional numerical calculation methods often meet great difficulties when dealing with such problems. For example, in the design process of the transformer core, it is difficult to calculate the electromagnetic field around the core due to the nonlinearity of the material, the huge size difference between the silicon steel sheet and the core, and the complexity of the air gap distribution. Taking the widely used commercial numerical calculation software as an example, the finite element method is used in the numerical calculation process, and many elements and nodes are used in the process. This will lead to a complex mesh and cost a lot of computing resources and a long computing time. This paper improves on the widely used conventional finite element method (CFEM) and proposes a multi-scale finite element method (MSFEM). Using a special interpolation built with an enrichment function, the elements are not restricted by media or geometry. Taking Team Workshop problem 10 as a numerical example, the accuracy of this method and the saving of computational costs have been proved. |
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| AbstractList | Numerical calculation of electromagnetic fields plays an important role in the design of electrical equipment. However, due to the special structure of certain equipment, traditional numerical calculation methods often meet great difficulties when dealing with such problems. For example, in the design process of the transformer core, it is difficult to calculate the electromagnetic field around the core due to the nonlinearity of the material, the huge size difference between the silicon steel sheet and the core, and the complexity of the air gap distribution. Taking the widely used commercial numerical calculation software as an example, the finite element method is used in the numerical calculation process, and many elements and nodes are used in the process. This will lead to a complex mesh and cost a lot of computing resources and a long computing time. This paper improves on the widely used conventional finite element method (CFEM) and proposes a multi-scale finite element method (MSFEM). Using a special interpolation built with an enrichment function, the elements are not restricted by media or geometry. Taking Team Workshop problem 10 as a numerical example, the accuracy of this method and the saving of computational costs have been proved. |
| Author | Xu, Weijie Duan, Nana Wang, Shuhong Ma, Xinyu |
| Author_xml | – sequence: 1 givenname: Xinyu surname: Ma fullname: Ma, Xinyu email: mxy1997@stu.xjtu.edu.cn organization: School of Electrical Engineering, Xi'an Jiaotong University,Xi'an,China – sequence: 2 givenname: Nana surname: Duan fullname: Duan, Nana email: duannana@xjtu.edu.cn organization: School of Electrical Engineering, Xi'an Jiaotong University,Xi'an,China – sequence: 3 givenname: Weijie surname: Xu fullname: Xu, Weijie email: xuweijie@xjtu.edu.cn organization: State Grid Shaanxi Electric Power Research Institute,Xi'an,China – sequence: 4 givenname: Shuhong surname: Wang fullname: Wang, Shuhong email: shwang@mail.xjtu.edu.cn organization: School of Electrical Engineering, Xi'an Jiaotong University,Xi'an,China |
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| Snippet | Numerical calculation of electromagnetic fields plays an important role in the design of electrical equipment. However, due to the special structure of certain... |
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| SubjectTerms | enrichment function Finite element analysis Media multi-scale finite element method nonlinear problem Numerical simulation Silicon Software Three-dimensional displays Transformer cores |
| Title | Multi-Scale Finite Element Method Applied in 3D Nonlinear Problem |
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