用物理约束神经网络精准预测磁性材料瞬态磁化行为
A Physics-Informed Hybrid Neural Operator for Transient Magnetization Prediction in Power Magnetics

- 融合局部时序与全局波形特征的混合神经算子架构
- 能量一致性误差均值1.92%,95%分位数7.60%,仅4777参数
- 适合高频高功率电力电子中的磁材建模与设计优化
高频高功率密度变换器中的磁性元件日益面临非正弦通量密度波形、快速跳变、小回线工作、直流偏置及温变等复杂条件,传统稳态损耗公式和单值材料曲线无法准确刻画瞬态磁化响应。本文提出物理信息驱动的混合神经算子(PI-HNO),一种针对特定材料的紧凑神经模型,引入B-H能量一致性正则化以实现面向损耗的瞬态磁化预测。给定历史B(t)-H(t)数据、预测区间内的输入B(t)序列及工况信息,模型可输出对应的H(t)序列与重构的B-H轨迹。该模型结合局部递归分支捕捉边界状态与速率相关响应演化,以及受Preisach启发的全局分支提取波形级磁滞上下文。在包含14种铁氧体材料的MagNetX瞬态数据库上评估显示,每个材料模型仅需4777个可训练参数,即实现序列精度与B(t)-H(t)能量一致性之间的良好权衡,平均能量一致性误差为1.92%,95%分位数误差为7.60%。消融实验表明,局部、全局与能量感知正则化组件对瞬态磁化预测均有独立贡献。
原文摘要 · Abstract (English)
Magnetic components in high-frequency, high-power-density converters are increasingly driven by non-sinusoidal flux-density waveforms with fast transitions, minor-loop operation, dc bias, and temperature variation. Under these conditions, steady-state core-loss formulas and single-valued material curves cannot fully capture transient magnetization responses. This work proposes the Physics-Informed Hybrid Neural Operator (PI-HNO), a compact material-specific neural model with B-H energy-consistency regularization for core-loss-oriented transient magnetization prediction. Given the measured B(t)-H(t) history, the input B(t) series over the prediction interval and operating-condition information, PI-HNO predicts the H(t) series and the corresponding reconstructed B-H trajectory. The model integrates a local recurrent branch for boundary-state representation and rate-dependent response evolution with a Preisach-inspired global branch that extracts waveform-level hysteresis context. Evaluation on the MagNetX transient database using material-specific models for 14 ferrite materials demonstrates that PI-HNO achieves a compact trade-off between sequence accuracy and B(t)-H(t) energy consistency, with the mean and 95th percentile B(t)-H(t) energy consistency errors of 1.92% and 7.60%, respectively, using only 4777 trainable parameters per model. Ablation studies further demonstrate that the local, global, and energy-aware regularized components provide distinct contributions to transient magnetization prediction.
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