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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…

系统与控制 · 电气工程与系统科学 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

This paper presents the current state of mathematical modelling of the electrochemical behaviour of lithium-ion batteries as they are charged and discharged. It reviews the models developed by Newman and co-workers, both in the cases of…

化学物理 · 物理学 2020-02-04 Giles W Richardson , Jamie M Foster , Rahifa Ranom , Colin P Please , Angel M Ramos

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,…

化学物理 · 物理学 2020-04-14 Matthew J. Hunt , Ferran Brosa Planella , Florian Theil , W. Dhammika Widanage

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 observed temperature dependence of electrical conduction in polymer electrolytes is usually fitted with two separated equations: an Arrhenius equation at low temperatures and Vogel-Tamman-Fulcher (VTF) at high temperatures. We report…

材料科学 · 物理学 2007-05-23 Mikrajuddin , I. Wuled Lenggoro , Kikuo Okuyama

For many practical applications, fully coupled three-dimensional models describing the behaviour of lithium-ion pouch cells are too computationally expensive. However, owing to the small aspect ratio of typical pouch cell designs, such…

计算物理 · 物理学 2020-08-11 Scott G. Marquis , Robert Timms , Valentin Sulzer , Colin P. Please , S. Jon Chapman

We treat the accurate simulation of the calcination reaction in particles, where the particles are large and, thus, the inner-particle processes must be resolved. Because these processes need to be described with coupled partial…

流体动力学 · 物理学 2023-11-28 Lucas Reineking , Torben Bergold , Enric Illana , Viktor Scherer , Martin Mönnigmann

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…

系统与控制 · 电气工程与系统科学 2026-05-26 Frederic Fabry , Alessio Lodge , Robinson Medina , Feye Hoekstra , Steven Wilkins , Madalin Frunzete

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…

数值分析 · 数学 2025-07-09 Shu Xu , Liqun Cao

Our study introduces a Generative AI method that employs a cooling-guided diffusion model to optimize the layout of battery cells, a crucial step for enhancing the cooling performance and efficiency of battery thermal management systems.…

机器学习 · 计算机科学 2024-03-19 Nicholas Sung , Liu Zheng , Pingfeng Wang , Faez Ahmed

Despite the ever-increasing use across different sectors, the lithium-ion batteries (LiBs) have continually seen serious concerns over their thermal vulnerability. The LiB operation is associated with the heat generation and buildup effect,…

应用物理 · 物理学 2017-09-27 Ning Tian , Huazhen Fang , Yebin Wang

Reduced-order models of flame dynamics can be used to predict and mitigate the emergence of thermoacoustic oscillations in the design of gas turbine and rocket engines. This process is hindered by the fact that these models, although often…

流体动力学 · 物理学 2020-07-07 Hans Yu , Matthew P. Juniper , Luca Magri

Modelling the temperature of Electric Vehicle (EV) batteries is a fundamental task of EV manufacturing. Extreme temperatures in the battery packs can affect their longevity and power output. Although theoretical models exist for describing…

机器学习 · 计算机科学 2022-12-19 Jeyhun Rustamov , Luisa Fennert , Nico Hoffmann

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…

数值分析 · 数学 2025-07-09 Shu Xu , Liqun Cao

Using the newly introduced theory of finite-temperature reduced density matrix functional theory, we apply the first-order approximation to the homogeneous electron gas. We consider both collinear spin states as well as symmetry broken…

强关联电子 · 物理学 2015-03-20 Tim Baldsiefen , F. G. Eich , E. K. U. Gross

Porous electrode theory (PET) provides essential insights into electrochemical states, but its computational complexity hinders real-time control and obscures scaling relations. To bridge the gap between high-fidelity simulations and…

系统与控制 · 电气工程与系统科学 2026-04-21 Shakul Pathak , Martin Z. Bazant

The industrial application motivating this work is the fatigue computation of aircraft engines' high-pressure turbine blades. The material model involves nonlinear elastoviscoplastic behavior laws, for which the parameters depend on the…

数值分析 · 数学 2019-08-12 Fabien Casenave , Nissrine Akkari

Lithium-ion batteries are used to store energy in electric vehicles. Physical models based on electro-chemistry accurately predict the cell dynamics, in particular the state of charge. However, these models are nonlinear partial…

偏微分方程分析 · 数学 2017-09-13 Sepideh Afshar , Kirsten Morris , Amir Khajepour

Although partition temperature derived using the Darwin-Fowler method is exact for simple scenarios, the derivation for complex systems might reside on specific approximations whose viability is not ensured if the thermodynamic limit is not…

核理论 · 物理学 2023-11-09 Wei-Liang Qian , Kai Lin , Rui-Hong Yue , Yogiro Hama , Takeshi Kodama

Prediction of particle radiative heat transfer flux is an important task in the large discrete granular systems, such as pebble bed in power plants and industrial fluidized beds. For particle motion and packing, discrete element method…

软凝聚态物质 · 物理学 2020-06-24 Hao Wu , Shuang Hao