arXiv:2607.14321cs.CEcs.AI2026-07

用神经网络加速铁磁叠片电机仿真,精度高且仅慢一倍。

Accounting for Hysteresis and Eddy Currents in Finite Element Simulations of Ferromagnetic Laminated Cores using a Recurrent Neural Network

论文配图:Accounting for Hysteresis and Eddy Currents in Finite Element Simulations of Ferromagnetic Laminated Cores using a Recurrent Neural Network
图 1 · 摘自论文原文
  • 用循环神经网络替代复杂电磁模型,实现高效逼近
  • 仿真计算成本仅为无磁滞模拟的两倍,误差极小
  • 模型开源可嵌入现有仿真系统,适用范围广

在叠片铁芯电机的有限元仿真中,考虑磁滞和涡流效应计算成本极高,常规方法需在每个积分点反复求解场分布,使计算量比无磁滞情况高出数个数量级,难以用于设计。而仅考虑磁饱和的简化模型已无法满足日益复杂的电机结构与工况需求。本文提出一种基于循环神经网络的机器学习代理模型,作为各向同性叠片材料的替代,集成于基于矢量势的二维磁动态有限元框架中。通过在大量人工生成、模拟电机运行中典型磁场变化序列的数据上训练,该模型能准确复现参考叠片模型行为,同时将计算开销控制在无磁滞仿真的约两倍水平。所训练的代理模型以独立组件形式发布,可无缝接入现有仿真平台,已在 GitLab 公开:https://gitlab.onelab.info/getdp/lamnet。

原文摘要 · Abstract (English)

Incorporating hysteresis and eddy currents into finite element simulations of laminated-core electrical machines is computationally challenging. Resolving the fields inside the laminations at each integration point and at every nonlinear iteration leads to computational costs several orders of magnitude higher than anhysteretic simulations, making such approaches impractical for design applications. Conversely, simplified models accounting only for magnetic saturation are becoming increasingly inadequate as electrical machine topologies and operating conditions grow in complexity. In this context, machine learning surrogate modeling has emerged as a promising alternative, offering efficient and accurate approximations of complex electromagnetic behaviors. In this paper, a recurrent neural network is trained as a surrogate of a laminated-core material model for an isotropic laminated core, and is integrated into realistic two-dimensional magnetodynamic finite element simulations based on a magnetic vector potential formulation. The proposed approach achieves excellent agreement with the reference laminated-core model while limiting the computational cost to about twice that of an anhysteretic simulation. By training the recurrent neural network on a sufficiently diverse set of artificially generated magnetic field sequences designed to mimic those encountered in electrical machine simulations, the proposed approach can be readily applied across a wide range of finite element simulations. Furthermore, the trained surrogate model is provided as a standalone component that can be easily incorporated into existing computational frameworks. It is publicly available at https://gitlab.onelab.info/getdp/lamnet.

有限元仿真神经网络电磁建模

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