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The Doyle-Fuller-Newman model is arguably the most ubiquitous electrochemical model in lithium-ion battery research. Since it is a highly nonlinear model, its input-output relations are still poorly understood. Researchers therefore often…

The Doyle-Fuller-Newman (DFN) model is a common mechanistic model for lithium-ion batteries. The reaction rate constant and diffusivity within the DFN model are key parameters that directly affect the movement of lithium ions, thereby…

Systems and Control · Electrical Eng. & Systems 2025-04-15 Marc D. Berliner , Minsu Kim , Xiao Cui , Vivek N. Lam , Patrick A. Asinger , Martin Z. Bazant , William C. Chueh , Richard D. Braatz

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…

The physics-based Doyle-Fuller-Newman (DFN) model, widely adopted for its precise electrochemical modeling, stands out among various simulation models of lithium-ion batteries (LIBs). Although the DFN model is powerful in forward predictive…

Computational Engineering, Finance, and Science · Computer Science 2025-04-30 Weipeng Xu , Kaiqi Yang , Yuzhi Zhang , Shichao Sun , Sheng Mao , Tianju Xue

Growing demand for fast charging and optimised battery designs is fuelling significant interest in electrochemical models of Li-ion batteries. However, estimating parameter values for these models remains a major challenge. In this paper, a…

Systems and Control · Electrical Eng. & Systems 2020-12-04 Ross Drummond , Stephen R. Duncan

This paper presents a Bayesian parameter estimation approach and identifiability analysis for a lithium-ion battery model, to determine the uniqueness, evaluate the sensitivity and quantify the uncertainty of a subset of the model…

Systems and Control · Electrical Eng. & Systems 2023-09-04 Antti Aitio , Scott G. Marquis , Pedro Ascencio , David Howey

The DFN (Doyle-Fuller-Newman) model is well know for being accurate and computationally expensive. In situations where temperature gradients are important (eg fast charging) it is desirable to couple the temperature dynamics within a…

Chemical Physics · Physics 2022-08-11 Matthew Hunt , Florian Theil , Ferran Brosa Planella , W. Dhammika Widanage

The standard continuum model of a lithium-ion battery, the Doyle-Fuller-Newman (DFN) model, is computationally expensive to solve. Typically simpler models, such as the single particle model (SPM), are used to provide insight for control…

Chemical Physics · Physics 2019-11-07 Scott G. Marquis , Valentin Sulzer , Robert Timms , Colin P. Please , S. Jon Chapman

The widely used Doyler-Fuller-Newman (DFN) model for lithium-ion batteries is too computationally expensive for certain applications, which has motivated the appearance of a plethora of simpler models. These models are usually posed in an…

Chemical Physics · Physics 2021-05-03 Ferran Brosa Planella , Muhammad Sheikh , W. Dhammika Widanage

Battery models generally fall into two categories: physics-based models and ECM models. Physics-based Doyle-Fuller-Newman (DFN) models can accurately simulate the battery internal electrochemical processes, but to properly account for…

Applied Physics · Physics 2026-05-20 Han Yuan , Shen Li , Tao Zhu , Simon O'Kane , Carlos Garcia , Gregory Offer , Monica Marinescu

We present a finite element semi-discrete error analysis for the Doyle-Fuller-Newman model, which is the most popular model for lithium-ion batteries. Central to our approach is a novel projection operator designed for the…

Numerical Analysis · Mathematics 2025-07-09 Shu Xu , Liqun Cao

Physics-based electrochemical battery models derived from porous electrode theory are a very powerful tool for understanding lithium-ion batteries, as well as for improving their design and management. Different model fidelity, and thus…

In the lithium-ion battery literature, discharges followed by a relaxation to equilibrium are frequently used to validate models and their parametrizations. Good agreement with experiment during discharge is easily attained with a…

Chemical Physics · Physics 2021-04-27 Toby Kirk , Colin P. Please , S. Jon Chapman

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

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

Simulation models are nowadays indispensable to efficiently assess or optimize novel battery cell concepts during the development process. Electro-chemo-mechano models are widely used to investigate solid-state batteries during cycling and…

Materials Science · Physics 2024-08-13 Stephan Sinzig , Christoph P. Schmidt , Wolfgang A. Wall

This paper presents the Battery Modelling Toolbox (BattMo), a flexible finite volume continuum modelling framework in MATLAB\textsuperscript{\textregistered} (\citeproc{ref-MATLAB}{The MathWorks Inc., 2025}) for simulating the performance…

DandeLiion (available at dandeliion.com) is a robust and extremely fast solver for the Doyle Fuller Newman (DFN) model, the standard electrochemical model for (dis)charge of a planar lithium-ion cell. DandeLiion conserves lithium, uses a…

Applied Physics · Physics 2021-08-20 Ivan Korotkin , Smita Sahu , Simon O'Kane , Giles Richardson , Jamie M. Foster

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

We investigate the convergence of a backward Euler finite element discretization applied to a multi-domain and multi-scale elliptic-parabolic system, derived from the Doyle-Fuller-Newman model for lithium-ion cells. We establish…

Numerical Analysis · Mathematics 2025-07-09 Shu Xu , Liqun Cao
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