基于物理驱动神经网络的低频电磁场快速算法研究综述OA
Review of Research on Fast Algorithms for Low-frequency Electromagnetic Fields Based on Physics-driven Neural Networks
低频电磁场数值计算是电气装备电磁特性分析的核心基础技术.面对电气装备中普遍存在的多尺度结构特征、材料强非线性以及多工况反复求解需求,传统数值算法在计算效率、求解精度与跨场景的泛化能力上面临进一步提升的挑战.随着深度学习的发展,物理驱动神经网络通过融合控制方程、初边值条件等物理约束,可以在少数据甚至不需要数据的情况下实现对物理场的求解,已成为提高计算效率、模型泛化性并确保结果物理可信性的有效方法.该文系统综述了物理驱动神经网络在低频电磁场快速计算中的研究进展,首先阐述了该类算法的通用求解框架与基本流程.随后,按用于约束控制方程的损失函数的数学形式,对主流算法进行了分类梳理与比较,并重点综述了各类算法在典型电磁场问题中的应用案例.在此基础上,探讨了该类算法在三维电磁模型中的扩展应用,并对其计算效率、工程适用性及相关计算框架进行了深度剖析与讨论.最后,展望了该领域的未来发展趋势,指出通过在复杂三维建模、非线性材料刻画、深层迁移机制与数据物理融合驱动架构4个方向的系统推进,最终有望为低频电磁场分析提供兼具高效性与高精度,且泛化能力强的新型计算方法.
Numerical computation of low-frequency electromagnetic fields is a core foundational technology for the electromagnetic characteristic analysis of electrical equipment.Faced with the prevalent multi-scale structural features,strong material nonlinearity,and the need for iterative solutions under various operating conditions in electrical equipment,traditional numerical algorithms face challenges in improving computational efficiency,solution accuracy,and cross-scenario generalization ability.With the development of deep learning,physics-driven neural networks,by integrat-ing physical constraints such as control equations and initial/boundary conditions,can solve physical fields with few or no data,and become an effective method to improve the computational efficiency,to realize the model generalization,and to ensure the physical reliability of results.This paper systematically reviews the research progress of physics-driven neural networks in the rapid computation of low-frequency electromagnetic fields.First,this paper elucidates the general solu-tion framework and basic process of this type of algorithm.Then,this paper classifies and compares mainstream algorithms according to the mathematical form of the loss function used to constrain the control equations,and focuses on reviewing application cases of various algorithms in typical electromagnetic field problems.Based on this,this paper ex-plores the extended applications of this type of algorithm in three-dimensional electromagnetic models,and provides an in-depth analysis and discussion of its computational efficiency,engineering applicability,and related computational framework.Finally,the future development trend of this field is envisioned.It is pointed out that,through systematic ad-vancements in following four directions:complex 3D modeling,nonlinear material characterization,deep migration mechanisms,and data-physics fusion-driven architecture,it is hoped that a novel computational method with high effi-ciency,high accuracy,and strong generalization ability can be provided for low-frequency electromagnetic field analysis.
张宇娇;张强;孙宏达;赵志涛;黄雄峰
合肥工业大学电气与自动化工程学院,合肥 230009合肥工业大学电气与自动化工程学院,合肥 230009合肥工业大学电气与自动化工程学院,合肥 230009合肥工业大学电气与自动化工程学院,合肥 230009合肥工业大学电气与自动化工程学院,合肥 230009
低频电磁场快速计算物理驱动神经网络深度神经网络迁移学习
low-frequency electromagnetic fieldsrapid computationphysics-driven neural networksdeep neural net-workstransfer learning
《高电压技术》 2026 (4)
1518-1539,22
国家自然科学基金(52377005).Project supported by National Natural Science Foundation of China(52377005).
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