| 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日“变压器多物理场建模与高效数值计算方法研究”(项目编号： 520627250001) |
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| ADAPTIVE FINITE ELEMENT METHOD FOR THE ELECTROMAGNETIC–THERMAL–FLUID MULTIPHYSICS COUPLED MODEL OF OIL-IMMERSED TRANSFORMERS |
|
xinghongwei,wangyihan
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| Abstract: |
| This study investigates the numerical solution of the coupled electromagnetic–
thermal–fluid multiphysics model inside oil-immersed power transformers. To reduce the com-
plexity 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 |
