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 integrating 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 solution 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 explores 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 advancements 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 efficiency
high accuracy
and strong generalization ability can be provided for low-frequency electromagnetic field analysis.