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In this work we analyse the local nonlinear electrochemical impedance spectroscopy (NLEIS) response of a lithium-ion battery and estimate model parameters from measured NLEIS data. The analysis assumes a single-particle model including…

Chemical Physics · Physics 2023-04-24 T. L. Kirk , A. Lewis-Douglas , D. A. Howey , C. P. Please , S. J. Chapman

The mathematical P2D model is a system of strongly coupled nonlinear parabolic-elliptic equations that describes the electrodynamics of lithium-ion batteries. In this paper, we present the numerical analysis of a finite element-implicit…

Numerical Analysis · Mathematics 2021-09-23 Rodolfo Bermejo

In this contribution we are concerned with efficient model reduction for multiscale problems arising in lithium-ion battery modeling with spatially resolved porous electrodes. We present new results on the application of the reduced basis…

Numerical Analysis · Mathematics 2019-10-30 Mario Ohlberger , Stephan Rave , Felix Schindler

Present theories of irreversible energy losses and heat generation within Li-ion cells are unsatisfactory because they are not compatible with energy conservation. This work aims to provide a consistent theoretical treatment of energy…

Applied Physics · Physics 2021-08-20 G. Richardson , I. Korotkin

Battery degradation, which is the reduction of performance over time, is one of the main roadblocks to the wide deployment of lithium-ion batteries. Physics-based models, such as those based on the Doyle-Fuller-Newman model, are invaluable…

Chemical Physics · Physics 2023-06-06 Ferran Brosa Planella , W. Dhammika Widanage

Battery short-term electrical impedance behavior varies between linear, linear time-varying, or nonlinear at different operating conditions. Data-based electrical impedance modeling techniques often model the battery as a linear…

Systems and Control · Computer Science 2018-05-17 Rishi Relan , Koen Tiels , Jean-Marc Timmermans , Johan Schoukens

The pseudo-4D Doyle-Fuller-Newman (DFN) model enables predictive simulation of lithium-ion batteries with three-dimensional electrode architectures and particle-scale diffusion, extending the standard pseudo-2D (P2D) formulation to fully…

Lithium ion batteries are attracting significant and growing interest, because their high energy and high power density render them an excellent option for energy storage, particularly in hybrid and electric vehicles. In this brief, a…

Systems and Control · Computer Science 2018-05-18 Rishi Relan , Yousef Firouz , Jean-Marc Timmermans , Johan Schoukens

Accurately measuring the cycle lifetime of commercial lithium-ion batteries is crucial for performance and technology development. We introduce a novel hybrid approach combining a physics-based equation with a self-attention model to…

Machine Learning · Computer Science 2025-05-07 Constantin-Daniel Nicolae , Sara Sameer , Nathan Sun , Karena Yan

We reformulate and extend porous electrode theory for non-ideal active materials, including those capable of phase transformations. Using principles of non-equilibrium thermodynamics, we relate the cell voltage, ionic fluxes, and Faradaic…

Chemical Physics · Physics 2012-08-24 Todd R. Ferguson , Martin Z. Bazant

Conventional Li-ion battery ageing models, such as electrochemical, semi-empirical and empirical models, require a significant amount of time and experimental resources to provide accurate predictions under realistic operating conditions.…

Systems and Control · Electrical Eng. & Systems 2026-01-27 Lucu M. , Martinez-Laserna E. , Gandiaga I. , Liu K. , Camblong H. , Widanage W. D. , Marco J

Thermal electrochemical models for porous electrode batteries (such as lithium ion batteries) are widely used. Due to the multiple scales involved, solving the model accounting for the porous microstructure is computationally expensive,…

Chemical Physics · Physics 2020-04-14 Matthew J. Hunt , Ferran Brosa Planella , Florian Theil , W. Dhammika Widanage

The unified 3D phase-field model for the description of the lithium-ion cell as a whole is developed. The model takes into account the realistic distribution of particles in porous electrodes, percolative transport of ions, and the…

Disordered Systems and Neural Networks · Physics 2021-05-11 Pavel E. L'vov , Mikhail Yu. Tikhonchev , Renat T. Sibatov

Untangling the relationship between reactions, mass transfer, and temperature within lithium-ion batteries enables control approaches that mitigate thermal hot spots and slow degradation. Here, we develop an efficient physics-based…

Chemical Physics · Physics 2022-07-07 Jie Lin , Howie N. Chu , David A. Howey , Charles W. Monroe

Delivering the full benefits of first principles calculations to battery materials demands the development of accurate and computationally-efficient electronic structure methods that incorporate the effects of the electrolyte environment…

Heterogeneities in lithium ion batteries can be significant factors in electrode under utilisation and degradation while charging. Bilayer electrodes have been proposed as a convenient and scalable way to homogenise the electrode response.…

Dynamical Systems · Mathematics 2025-11-11 E. C. Tredenick , A. M. Boyce , R. Drummond , S. R. Duncan

In this study we construct a data-driven model describing Lithium plating in a battery cell, which is a key process contributing to degradation of such cells. Starting from the fundamental Doyle-Fuller-Newman (DFN) model, we use asymptotic…

Chemical Physics · Physics 2024-08-28 Avesta Ahmadi , Kevin J. Sanders , Gillian R. Goward , Bartosz Protas

We investigate the modeling and simulation of ionic transport and charge conservation in lithium-ion batteries (LIBs) at the microscale. It is a multiphysics problem that involves a wide range of time scales. The associated computational…

Numerical Analysis · Mathematics 2025-10-02 Ali Asad , Romain de Loubens , Laurent François , Marc Massot

Accurately predicting the lifetime of battery cells in early cycles holds tremendous value for battery research and development as well as numerous downstream applications. This task is rather challenging because diverse conditions, such as…

Signal Processing · Electrical Eng. & Systems 2023-11-27 Han Zhang , Yuqi Li , Shun Zheng , Ziheng Lu , Xiaofan Gui , Wei Xu , Jiang Bian

Batteries are dynamic systems with complicated nonlinear aging, highly dependent on cell design, chemistry, manufacturing, and operational conditions. Prediction of battery cycle life and estimation of aging states is important to…

Systems and Control · Electrical Eng. & Systems 2024-10-11 Joachim Schaeffer , Giacomo Galuppini , Jinwook Rhyu , Patrick A. Asinger , Robin Droop , Rolf Findeisen , Richard D. Braatz