An Adaptive Time-Stepping Finite Element Method With Schur-Complement Preconditioning for Surge Simulation of Magnetic Components

IF 1.5 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC

IEEE Journal on Multiscale and Multiphysics Computational Techniques Pub Date : 2025-09-08 DOI:10.1109/JMMCT.2025.3606993

Zhe Chen;Yanning Chen;Yi-Yao Wang;Hao-Xuan Zhang;Yin-Da Wang;Rongchuan Bai;Zhengwei Du;Yingzong Liang;Fang Liu;Hao Xie;Wen-Yan Yin

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引用次数: 0

Abstract

Surge over-voltages may induce magnetic saturation, flux instability in power components and undermining reliability. To address trade-off between computational efficiency and accuracy of the fixed-step finite element method (FEM) under transients, this paper presents an adaptive time-stepping FEM (ATS-FEM) driven by higher-order truncation-error estimation, with Schur complement preconditioning integrated to optimize memory usage for accelerating parallel matrix solution. Three typical magnetic components often used in strong magnetic launch and propulsion systems are simulated and validated in comparison with that of commercial software. It is shown that our developed ATS-FEM can dynamically adjust the time steps but with high numerical accuracy maintained, and it also has the capability for capturing localized saturation, radial gradients, and permeability drops in high-current regions of the magnetic components.

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磁元件喘振仿真的schur -补体预处理自适应时步有限元法

浪涌过电压可能引起电力元件磁饱和，磁通不稳定，影响可靠性。为解决定步有限元法在瞬态条件下计算效率和精度之间的权衡问题，提出了一种基于高阶截断误差估计的自适应时步有限元法（uts -FEM），并结合Schur补预条件优化内存使用，以加速并行矩阵求解。对强磁发射推进系统中常用的三种典型磁性元件进行了仿真验证，并与商用软件进行了对比。结果表明，所开发的ATS-FEM可以动态调整时间步长，但保持了较高的数值精度，并且能够捕获磁性元件在大电流区域的局部饱和、径向梯度和磁导率下降。

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来源期刊

IEEE Journal on Multiscale and Multiphysics Computational Techniques Mathematics-Mathematical Physics

CiteScore

4.30

自引率

0.00%

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