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This Paper Addresses the Generalization Challenge by Proposing Neural Operators for Modeling Constitutive Laws

This Paper Addresses the Generalization Challenge by Proposing Neural Operators for Modeling Constitutive Laws

Practical Solutions for Modeling Magnetic Hysteresis

Challenges in AI for Magnetic Devices

Accurately modeling magnetic hysteresis is crucial for optimizing the performance of electric machines and actuators. Traditional methods struggle to generalize to novel magnetic fields, limiting their effectiveness in real-world applications.

Current Methods and Limitations

Traditional neural networks like RNNs, LSTMs, and GRUs struggle to generalize to novel magnetic fields, limiting their accuracy for real-world applications.

Proposed Neural Operators

Neural operators like DeepONet and FNO offer a more efficient and accurate solution compared to existing methods by approximating the underlying operator that maps magnetic fields, allowing for generalization to novel magnetic fields.

Training and Evaluation

The proposed method involves training neural operators on datasets generated using a Preisach-based model of the material NO27-1450H. The performance was evaluated using error metrics, showing superior accuracy and generalization capability compared to traditional recurrent architectures.

Conclusion and Value

The proposed methods, DeepONet and FNO, along with the rate-independent RIFNO, demonstrate superior accuracy and generalization capability, advancing the field of AI by developing efficient and accurate models for magnetic materials.

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