arXiv:2609.01991cs.LG2026-09

用可解释的磁滞重构模型,精准预测复杂工况下的铁芯损耗。

CAHR-Net: Condition-Adaptive Hysteresis Reconstruction for Compact and Interpretable Magnetic Core Loss Modeling

论文配图:CAHR-Net: Condition-Adaptive Hysteresis Reconstruction for Compact and Interpretable Magnetic Core Loss Modeling
图 1 · 摘自论文原文
  • 通过条件自适应机制,在中间重建阶段注入频率、温度等运行条件。
  • 在MagNet数据集上平均95%误差降至6.89%,参数量仅为最强模型的1/48。
  • 模型结构清晰可解释,适合需要高精度与可解释性的工程应用。

铁芯损耗源于磁滞回线:每周期耗散能量等于回线面积,而频率、温度和波形形状通过改变回线几何形态影响损耗。现有模型将这些条件仅作用于终端标量——经验公式将其合并为拟合指数,数据驱动方法则附加至编码特征——导致中间磁滞表示无法响应条件变化。本文提出CAHR-Net,一种条件自适应磁滞重建网络,将运行条件注入物理作用点。它保持从磁通密度波形到磁场重建、回线面积积分直至功率损耗估计的可解释链条,并采用特征级线性调制,将频率、温度及波形统计信息注入中间重建表示。同时报告了基于AdamW、余弦调度及分阶段重建到损耗目标的大批量训练协议,因调制路径仅在此优化轨迹下生效。在MagNet最终A-E材料测试中,CAHR-Net以仅1874参数实现平均p95相对误差6.89%,优于所有对比方法;其最差材料的p95低于最强黑盒方案,且参数量减少约48倍。相比物理重建基线,平均p95由7.47%降至6.89%;对最难材料D,p95由16.40%降至14.87%。消融与条件切片分析表明,性能提升归因于物理回线重建、结构化条件调制与匹配优化轨迹的协同作用。

原文摘要 · Abstract (English)

Magnetic core loss originates in the hysteresis loop: the energy dissipated per excitation cycle equals the loop area, and frequency, temperature, and waveform shape set the loss by reshaping the loop geometry. Most existing models let these conditions act only on a terminal scalar - empirical equations fold them into fitted exponents, and data-driven predictors append them to encoded features - so no intermediate hysteresis representation remains for the conditions to reshape. This paper proposes CAHR-Net, a condition-adaptive hysteresis reconstruction network that injects the operating conditions where they physically act. It preserves the interpretable chain from flux density waveform to magnetic field reconstruction, loop-area integration, and power loss estimation, and uses feature-wise linear modulation to inject frequency, temperature, and waveform statistics into the intermediate reconstruction representation. A matched large-batch training protocol based on AdamW, cosine scheduling, and a staged reconstruction-to-power-loss objective is also reported, because the modulation pathway takes effect only within it. On the MagNet final A-E material protocol, CAHR-Net attains an average p95 relative error of 6.89% with only 1874 parameters, the lowest among all compared methods, together with a lower worst-material p95 than the strongest black-box solution at about 48x fewer parameters; it reduces the average p95 of the physical reconstruction backbone from 7.47% to 6.89% and the p95 of material D, the most difficult material, from 16.40% to 14.87%. Ablation and condition-slice analyses attribute the improvement to the coupling of physical loop reconstruction, structured condition modulation, and the matched optimization trajectory.

铁芯损耗可解释建模磁滞重建条件自适应

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