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Related papers: A Continuum of Physics-Based Lithium-Ion Battery M…

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We consider the problem of parameterizing Newman-type models of Li-ion batteries focusing on quantifying the inherent uncertainty of this process and its dependence on the discharge rate. In order to rule out genuine experimental error and…

Computational Physics · Physics 2021-04-14 Jose Morales Escalante , Smita Sahu , Jamie M. Foster , Bartosz Protas

Battery management systems may rely on mathematical models to provide higher performance than standard charging protocols. Electrochemical models allow us to capture the phenomena occurring inside a lithium-ion cell and therefore, could be…

Computational Engineering, Finance, and Science · Computer Science 2020-05-12 Andrea Pozzi , Xiangzhong Xie , Davide M Raimondo , René Schenkendorf

The porosities and tortuosities are commonly utilized to characterize the microstructure of a Li-ion battery's separator and are adopted as key input parameters in advanced battery models. Herein, a general classification of the tortuosity…

Applied Physics · Physics 2024-07-30 Wei Sun , Q. M. Li , Ping Xiao , Paola Carbone

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

The increased deployment of intermittent renewable energy generators opens up opportunities for grid-connected energy storage. Batteries offer significant flexibility but are relatively expensive at present. Battery lifetime is a key factor…

Systems and Control · Computer Science 2018-02-21 Jorn M. Reniers , Grietus Mulder , Sina Ober-Blobaum , David A. Howey

We present a coupled continuum formulation for the electrostatic, chemical, thermal and mechanical processes in battery materials. Our treatment applies on the macroscopic scale, at which electrodes can be modelled as porous materials made…

Chemical Physics · Physics 2017-07-25 Zhenlin Wang , Jason B. Siegel , Krishna Garikipati

As demand for computing resources continues to rise, the increasing cost of electricity and anticipated regulations on carbon emissions are prompting changes in data center power systems. Many providers are now operating compute nodes in…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-24 Paul Kilian , Philipp Wiesner , Odej Kao

We present a coupled continuum formulation for the electrostatic, chemical, thermal, mechanical and fluid physics in battery materials. Our treatment is at the particle scale, at which the active particles held together by carbon-binders,…

Computational Physics · Physics 2018-07-26 Zhenlin Wang , Krishna Garikipati

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

Fast-charging of lithium-ion batteries is essential for electric vehicle adoption, but aggressive charging can accelerate its degradation and create safety risks. This study investigates a control framework that coordinates charging current…

Systems and Control · Electrical Eng. & Systems 2026-05-26 Frederic Fabry , Alessio Lodge , Robinson Medina , Feye Hoekstra , Steven Wilkins , Madalin Frunzete

Rechargeable battery electrodes have highly complex microstructures, consisting of nonuniform electrode particles, tortuous electrolyte channels, and irregular particle-electrolyte interfaces. Moreover, the electrochemical processes involve…

Materials Science · Physics 2026-03-26 Hui-Chia Yu , Bernardo Orvananos , Scott Cronin , Martin Bazant , Scott Barnett , K. Thornton

We consider the mathematical treatment of a system of nonlinear partial differential equations based on a model, proposed in 1972 by J. Newman, in which the coupling between the Lithium concentration, the phase potentials and temperature in…

Analysis of PDEs · Mathematics 2022-02-23 Jesús Ildefonso Díaz , David Gómez-Castro , Angel Manuel Ramos

Lithium-ion batteries exhibit nonlinear voltage dynamics across varying operating conditions and aging states, making accurate modeling essential for estimation, control, and health monitoring. This work compares two data-driven frameworks…

Systems and Control · Electrical Eng. & Systems 2026-05-05 Khalid Mahmud Labib , Inayat Rasool , Shabbir Ahmed

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

With the recent wave of digitalization, specifically in the context of safety-critical applications, there has been a growing need for computationally efficient, accurate, generalizable, and trustworthy models. Physics-based models have…

Numerical Analysis · Mathematics 2023-09-20 Sondre Sørbø , Sindre Stenen Blakseth , Adil Rasheed , Trond Kvamsdal , Omer San

In this article the Butler-Volmer equation used in describing Lithium-ion (Li-ion) batteries is discussed. First, a complete mathematical model based on a macro-homogeneous approach developed by Neuman is presented. Two common mistakes…

Chemical Physics · Physics 2015-03-20 A. M. Ramos , C. P. Please

The correct assessment of battery states is essential to maximize battery pack performances while ensuring reliable and safe operation. This work introduces EIS2MOD, a novel modelling framework for Li-ion cells based on Distribution of…

Systems and Control · Electrical Eng. & Systems 2022-03-17 Pietro Iurilli , Claudio Brivio , Rafael E. Carrillo , Vanessa Wood

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

Accurately predicting the lifespan of lithium-ion batteries is crucial for optimizing operational strategies and mitigating risks. While numerous studies have aimed at predicting battery lifespan, few have examined the interpretability of…

Machine Learning · Computer Science 2024-04-12 Jaewook Lee , Seongmin Heo , Jay H. Lee

Currently, the characterization of electric energy storage units used for power system operation and planning models relies on two major assumptions: charge and discharge efficiencies, and power limits are constant and independent of the…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Alvaro Gonzalez-Castellanos , David Pozo , Aldo Bischi
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