数学杂志2026，Vol.46Issue(3)：141-157,17.
油浸式变压器电磁-热-流多物理场耦合模型的自适应有限元方法
ADAPTIVE FINITE ELEMENT METHOD FOR THE ELECTROMAGNETIC-THERMAL-FLUID MULTIPHYSICS COUPLED MODEL OF OIL-IMMERSED TRANSFORMERS
摘要
Abstract
This study investigates the numerical solution of the coupled electromagnetic-thermal-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.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Key words
oil-immersed transformer/Multiphysics coupling model/numerical simulation/adaptive method/finite element method分类
信息技术与安全科学引用本文复制引用
邢宏伟,李勇,李晓悦,肖沈阳,王乙涵..油浸式变压器电磁-热-流多物理场耦合模型的自适应有限元方法[J].数学杂志,2026,46(3):141-157,17.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). （520627250001）
