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Lithium‑ion batteries power our phones, laptops, and electric cars, but they lose capacity over time. Knowing a battery’s State of Health (SOH) is crucial for safe use. Researchers have built LSTM‑PINN, a hybrid model that merges two technologies: LSTM networks, which excel at temporal patterns, and Physics‑Informed Neural Networks, which embed real physical laws into learning. In practice, the model translates degradation equations into a language the neural net can understand, avoiding typical errors of purely statistical approaches. Tested on two public datasets (NASA and CYCLE), it achieved prediction errors below 1 %: MAE of 0.594 % and 0.746 % and RMSE of 0.791 % and 0.897 %. This means LSTM‑PINN can accurately forecast when a battery will start aging, helping manufacturers and users manage maintenance and extend device lifespans. In the future, similar technologies could become standard for monitoring the energy of all our gadgets, making tech more reliable and sustainable.

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The LSTM‑PINN model relies on a state‑space formulation describing battery degradation dynamics as a linear‑nonlinear system dependent on internal variables (e.g., lithium concentration) and external ones (temperature, current). The LSTM captures long‑term temporal dependencies, mitigating vanishing gradient effects via its input, forget, and output gates. The PINN, on the other hand, embeds Fick’s diffusion equations and Butler‑Volmer kinetics as regularization constraints in the loss function, forcing the network to obey the electrochemical physics. The Deep Hidden Temporal Physical Module (DeepHTPM) acts as a bridge, merging LSTM latent features with physical terms, allowing the model to learn both statistical patterns and deterministic behaviors. Training uses datasets of charge‑discharge cycles, where voltage, current, and temperature measurements are normalized and synchronized. Validation on NASA and CYCLE datasets shows that incorporating physical constraints markedly reduces overfitting, enhancing generalization to new battery life cycles. This hybrid approach paves the way for more robust predictive models in complex energy systems, with potential applications in electric vehicle fleet management and grid‑scale storage.

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Authors:
Yan DingJinqi ZhuYang LiuDan NingMingyue Qin
Date Published:
Original Article www.mdpi.com
Fact-check verified on 20/04/2026 Primary Study / Original Source
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Creative Commons License CC BY-NC-SA 4.0

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