PINN surrogate of Li-ion battery models for parameter inference. Part II: Regularization and application of the pseudo-2D model
Not on the map. Why?
Abstract (arXiv)
Bayesian parameter inference is useful to improve Li-ion battery diagnostics and can help formulate battery aging models. However, it is computationally intensive and cannot be easily repeated for multiple cycles, multiple operating conditions, or multiple replicate cells. To reduce the computational cost of Bayesian calibration, numerical solvers for physics-based models can be replaced with faster surrogates. A physics-informed neural network (PINN) is developed as a surrogate for the pseudo-2D (P2D) battery model calibration. For the P2D surrogate, additional training regularization was needed as compared to the PINN single-particle model (SPM) developed in Part I. Both the PINN SPM and P2D surrogate models are exercised for parameter inference and compared to data obtained from a direct numerical solution of the governing equations. A parameter inference study highlights the ability to use these PINNs to calibrate scaling parameters for the cathode Li diffusion and the anode exchange current density. By realizing computational speed-ups of 2250x for the P2D model, as compared to using standard integrating methods, the PINN surrogates enable rapid state-of-health diagnostics. In the low-data availability scenario, the testing error was estimated to 2mV for the SPM surrogate and 10mV for the P2D surrogate which could be mitigated with additional data.
Key facts. Cited by 5 papers in the map (data through 14 Oct 2026). Builds on 19 of its 104 references that are in the map. First posted on arXiv 28 Dec 2023.
Builds on
19 of 104 references.
References · 19
- 2019DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operatorscited by 2,018
- 2015Automatic differentiation in machine learning: a surveycited by 855
- 2021Gradient-enhanced physics-informed neural networks for forward and inverse PDE problemscited by 222
- 2019Composable Effects for Flexible and Accelerated Probabilistic Programming in NumPyrocited by 191
- 2022Uncertainty Quantification in Scientific Machine Learning: Methods, Metrics, and Comparisonscited by 170
- 2022Physics-Informed Deep Neural Operator Networkscited by 113
- 2022Neural Implicit Flow: a mesh-agnostic dimensionality reduction paradigm of spatio-temporal datacited by 37
- 2022Bi-fidelity Modeling of Uncertain and Partially Unknown Systems using DeepONetscited by 27
- 2021Adversarial sampling of unknown and high-dimensional conditional distributionscited by 13
- 2021Physics-constrained deep neural network method for estimating parameters in a redox flow batterycited by 9
- 2020Bayesian Parameter Estimation Applied to the Li-ion Battery Single Particle Model with Electrolyte Dynamicscited by 6
- 2017Identifiability and parameter estimation of the single particle lithium-ion battery modelcited by 5
7 more
- 2022Inferring electrochemical performance and parameters of Li-ion batteries based on deep operator networkscited by 5
- 2023Physics-informed machine learning of redox flow battery based on a two-dimensional unit cell modelcited by 5
- 2022Analysis of sloppiness in model simulations: unveiling parameter uncertainty when mathematical models are fitted to datacited by 4
- 2023Ensemble flow reconstruction in the atmospheric boundary layer from spatially limited measurements through latent diffusion modelscited by 4
- 2023Learning from Integral Losses in Physics Informed Neural Networkscited by 4
- 2020Unlocking Extra Value from Grid Batteries Using Advanced Modelscited by 2
- 2020Estimating State of Charge for xEV batteries using 1D Convolutional Neural Networks and Transfer Learningcited by 1
Built on by
Citing papers per year: 2024: 2; 2025: 1; 2026: 2.
5 papers.
- 2024Detection of False Data Injection Attacks (FDIA) on Power Dynamical Systems With a State Prediction Methodcited by 2
- 2024Forward and Inverse Simulation of Pseudo-Two-Dimensional Model of Lithium-Ion Batteries Using Neural Networkscited by 2
- 2025Optimizing Energy Management of Smart Grid using Reinforcement Learning aided by Surrogate models built using Physics-informed Neural Networkscited by 0
- 2026Neural posterior estimation for scalable and accurate inverse parameter inference in Li-ion batteriescited by 0
- 2026Comparative Study of Neural Surrogate Architectures for Autoregressive Prediction of Internal Battery Statescited by 0
- 2026Comparative Study of Neural Surrogate Architectures for Autoregressive Prediction of Internal Battery States18 Jun 2026
- 2026Neural posterior estimation for scalable and accurate inverse parameter inference in Li-ion batteries2 Apr 2026
- 2025Optimizing Energy Management of Smart Grid using Reinforcement Learning aided by Surrogate models built using Physics-informed Neural Networks20 Oct 2025
- 2024Forward and Inverse Simulation of Pseudo-Two-Dimensional Model of Lithium-Ion Batteries Using Neural Networks2 Dec 2024
- 2024Detection of False Data Injection Attacks (FDIA) on Power Dynamical Systems With a State Prediction Method6 Sep 2024