| 摘要: |
| 本文针对油浸式变压器内部电磁-热-流多物理场耦合模型的数值求解问题展开研究.为降低实际几何结构的复杂性,通过将变压器模型简化为单相变压器的典型三维几何区域,并采用Picard线性化策略对耦合方程组进行解耦,将整体多物理场模型分解为电磁场A-V-A形式及热-流体耦合方程的交替迭代框架.在此基础上,针对各个单场方程分别构建结合向后Euler离散与自适应有限元的高效求解算法,从而处理耦合模型中的非线性项、系数跳跃与区域高度不规则等数值困难.最终,将单场自适应算法统一嵌入耦合求解流程中,提出一套面向油浸式变压器多物理场模型的整体自适应有限元算法. |
| 关键词: 油浸式变压器 多物理场耦合模型 数值计算 自适应方法 有限元算法 |
| DOI： |
| 分类号:TM405;O241.82 |
| 基金项目:国网山东省电力公司科技项目资助“变压器多物理场建模与高效数值计算方法研究”(520627250001). |
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| ADAPTIVE FINITE ELEMENT METHOD FOR THE ELECTROMAGNETIC-THERMAL-FLUID MULTIPHYSICS COUPLED MODEL OF OIL-IMMERSED TRANSFORMERS |
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XING Hong-wei1, LI Yong1, LI Xiao-yue2, XIAO Shen-yang1, WANG Yi-han3
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1.Information and Communication Company, State Grid Shandong Electric Power Company, Jinan 250002, China;2.State Grid Shandong Electric Power Company, Jinan 250002, China;3.Corresponding author. Wuhan University, Wuhan 430072, China
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| Abstract: |
| This study investigates the numerical solution of the coupled electromagneticthermal-fluid multiphysics model inside oil-immersed power transformers. To reduce the complexity of the actual geometric configuration, the transformer is simplified to a representative three-dimensional single-phase structure. A Picard linearization strategy is employed to decouple the strongly coupled system, thereby splitting the full multiphysics model into an alternating iterative framework consisting of the electromagnetic A-V-A formulation and the thermo-fluid coupled equations. Based on this decomposition, efficient solvers for each individual physical field are developed by combining the backward Euler time discretization with an adaptive finite element method, enabling the treatment of nonlinearities, coefficient jumps, and highly irregular subdomains inherent in the model. Finally, these single-field adaptive solvers are incorporated into the overall coupling procedure, yielding a unified adaptive finite element algorithm tailored for the multiphysics system of oil-immersed transformers. |
| Key words: oil-immersed transformer Multiphysics coupling model numerical simulation adaptive method finite element method |
