Universal Differential Equations (UDEs) combine neural networks with physical differential equations for scientific machine learning, aiding data-efficient and interpretable modeling.
In the smart grid domain, modeling node-wise battery dynamics poses challenges due to varying solar input and household load profiles, leading to the proposal of a UDE-based approach.
This approach utilizes synthetic data to simulate battery dynamics, with a neural residual capturing unmodeled dynamics arising from diverse node demand and environmental conditions.
Experiments show that the UDE model closely matches actual battery trajectories, demonstrates smooth convergence, and remains stable in long-term forecasts, indicating its effectiveness for battery modeling in renewable-integrated smart grids.