PINN surrogate of Li-ion battery models for parameter inference. Part I: Implementation and multi-fidelity hierarchies for the single-particle model
Not on the map. Why?
Abstract (arXiv)
To plan and optimize energy storage demands that account for Li-ion battery aging dynamics, techniques need to be developed to diagnose battery internal states accurately and rapidly. This study seeks to reduce the computational resources needed to determine a battery's internal states by replacing physics-based Li-ion battery models -- such as the single-particle model (SPM) and the pseudo-2D (P2D) model -- with a physics-informed neural network (PINN) surrogate. The surrogate model makes high-throughput techniques, such as Bayesian calibration, tractable to determine battery internal parameters from voltage responses. This manuscript is the first of a two-part series that introduces PINN surrogates of Li-ion battery models for parameter inference (i.e., state-of-health diagnostics). In this first part, a method is presented for constructing a PINN surrogate of the SPM. A multi-fidelity hierarchical training, where several neural nets are trained with multiple physics-loss fidelities is shown to significantly improve the surrogate accuracy when only training on the governing equation residuals. The implementation is made available in a companion repository (https://github.com/NREL/pinnstripes). The techniques used to develop a PINN surrogate of the SPM are extended in Part II for the PINN surrogate for the P2D battery model, and explore the Bayesian calibration capabilities of both surrogates.
Key facts. Cited by 6 papers in the map (data through 7 Oct 2026). Builds on 20 of its 78 references that are in the map. First posted on arXiv 28 Dec 2023.
Builds on
20 of 78 references.
References · 20
- 2015Deep Residual Learning for Image Recognitioncited by 51,809
- 2015Delving Deep into Rectifiers: Surpassing Human-Level Performance on ImageNet Classificationcited by 3,590
- 2020Fourier Neural Operator for Parametric Partial Differential Equationscited by 2,806
- 2019DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operatorscited by 1,965
- 2017Multi-Task Learning Using Uncertainty to Weigh Losses for Scene Geometry and Semanticscited by 1,345
- 2021Characterizing possible failure modes in physics-informed neural networkscited by 632
- 2020Self-Adaptive Physics-Informed Neural Networks using a Soft Attention Mechanismcited by 231
- 2021Exact imposition of boundary conditions with distance functions in physics-informed deep neural networkscited by 135
- 2023Can Physics-Informed Neural Networks beat the Finite Element Method?cited by 68
- 2021The Old and the New: Can Physics-Informed Deep-Learning Replace Traditional Linear Solvers?cited by 61
- 2022SVD Perspectives for Augmenting DeepONet Flexibility and Interpretabilitycited by 35
- 2022Bi-fidelity Modeling of Uncertain and Partially Unknown Systems using DeepONetscited by 27
8 more
- 2020On transfer learning of neural networks using bi-fidelity data for uncertainty propagationcited by 26
- 2021Neural Network Training Using ℓ1-Regularization and Bi-fidelity Datacited by 16
- 2023Mixed formulation of physics-informed neural networks for thermo-mechanically coupled systems and heterogeneous domainscited by 14
- 2021Physics-constrained deep neural network method for estimating parameters in a redox flow batterycited by 9
- 2021Integrating Physics-Based Modeling with Machine Learning for Lithium-Ion Batteriescited by 8
- 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
- 2021Uniform-in-Phase-Space Data Selection with Iterative Normalizing Flowscited by 3
Built on by
Citing papers per year: 2024: 1; 2025: 2; 2026: 3.
6 papers.
- 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
- 2025Fixed Point Neural Acceleration and Inverse Surrogate Model for Battery Parameter Identificationcited by 0
- 2026A Multi-Task Targeted Learning Framework for Lithium-Ion Battery State-of-Health and Remaining Useful Lifecited by 0
- 2026Neural posterior estimation for scalable and accurate inverse parameter inference in Li-ion batteriescited by 0
- 2026Large Models for Battery Prognostics and Health Management: A Review and Future Roadmapcited by 0
- 2026Large Models for Battery Prognostics and Health Management: A Review and Future Roadmap27 May 2026
- 2026Neural posterior estimation for scalable and accurate inverse parameter inference in Li-ion batteries2 Apr 2026
- 2026A Multi-Task Targeted Learning Framework for Lithium-Ion Battery State-of-Health and Remaining Useful Life20 Mar 2026
- 2025Fixed Point Neural Acceleration and Inverse Surrogate Model for Battery Parameter Identification28 Oct 2025
- 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