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In this paper, a core-shell enhanced single particle model for iron-phosphate battery cells is formulated, implemented, and verified. Starting from the description of the positive and negative electrodes charge and mass transport dynamics,…

Systems and Control · Electrical Eng. & Systems 2022-09-26 Gabriele Pozzato , Aki Takahashi , Xueyan Li , Donghoon Lee , Johan Ko , Simona Onori

Core-shell electrode particles are a promising morphology control strategy for high-performance lithium-ion batteries. However, experimental observations reveal that these structures remain prone to mechanical failure, with shell fractures…

Computational Engineering, Finance, and Science · Computer Science 2025-11-14 Y. Tu , B. Wu , E. Martínez-Pañeda

We develop a continuum phase-field model for the simulation of diffusion limited solid-solid phase transformations during lithium insertion in LiFePO4-nano-particles. The solid-solid phase boundary between the LiFePO4 (LFP)-phase and the…

Materials Science · Physics 2018-07-20 Michael Fleck , Holger Federmann , Evgeny Pogorelov

Lithium iron phosphate (LiFePO$_4$) is the prototypical two-phase battery material, whose complex patterns of lithium ion intercalation provide a testing ground for theories of electrochemical thermodynamics. Using a depth-averaged (a-b…

Chemical Physics · Physics 2018-08-21 Daniel A. Cogswell , Martin Z. Bazant

Lithium intercalated anatase used in Li-ion batteries has some special features: coexistence of Li-rich and Li-poor phases as well as two possible positions for Li ions in the oxygen tetrahedron. A theoretical description of the compound…

Materials Science · Physics 2009-07-06 O. V. Velychko , I. V. Stasyuk

Lithium-ion batteries exhibit complex nonlinear dynamics, resulting from diffusion and phase transformations coupled to ion intercalation reactions. Using the recently developed Cahn-Hilliard reaction (CHR) theory, we investigate a simple…

Chemical Physics · Physics 2014-02-13 Yi Zeng , Martin Z. Bazant

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

The rapid spread of Lithium-ions batteries (LiBs) for electric vehicles calls for the development of accurate physical models for Battery Management Systems (BMSs). In this work, the electrochemical Single Particle Model (SPM) for a…

Systems and Control · Electrical Eng. & Systems 2023-11-30 Andrea Trivella , Matteo Corno , Stefano Radrizzani , Sergio M. Savaresi

The paper provides a comprehensive battery storage modelling approach, which accounts for operation- and degradation-aware characteristics, i.e., variable efficiency, internal resistance growth, and capacity fade. Based on the available…

Systems and Control · Electrical Eng. & Systems 2022-03-16 T. Sayfutdinov , P. Vorobev

Porous electrodes composed of multiphase active materials are widely used in Li-ion batteries, but their dynamics are poorly understood. Two-phase models are largely empirical, and no models exist for three or more phases. Using a modified…

Chemical Physics · Physics 2014-02-07 Todd R. Ferguson , Martin Z. Bazant

An important objective of designing lithium-ion rechargeable battery cells is to maximize their rate performance without compromising the energy density, which is mainly achieved through computationally expensive numerical simulations at…

Materials Science · Physics 2020-05-05 Fan Wang , Ming Tang

Battery degradation is a major challenge in electric vehicles (EV) and energy storage systems (ESS). However, most degradation investigations focus mainly on estimating the state of charge (SOC), which fails to accurately interpret the…

Machine Learning · Computer Science 2025-04-22 Md Azizul Hoque , Babul Salam , Mohd Khair Hassan , Abdulkabir Aliyu , Abedalmuhdi Almomany , Muhammed Sutcu

A general continuum theory is developed for ion intercalation dynamics in a single crystal of a rechargeable battery cathode. It is based on an existing phase-field formulation of the bulk free energy and incorporates two crucial effects:…

Materials Science · Physics 2010-11-17 G. K. Singh , M. Z. Bazant , G. Ceder

The improvement of Li-ion battery performance requires development of models that capture the essential physics and chemistry in Li-ion battery electrode materials. In this paper a novel electrochemical phase-field model is presented that…

Lithium-ion batteries rely on particulate porous electrodes to realize high performance, especially the fast-charging capability. To minimize the particle-wise reaction heterogeneities that may lead to local hot spots, deeper understandings…

Materials Science · Physics 2022-04-15 Shubham Agrawal , Peng Bai

Lithium iron phosphate (LixFePO4), a cathode material used in rechargeable Li-ion batteries, phase separates upon de/lithiation under equilibrium. The interfacial structure and chemistry within these cathode materials affects Li-ion…

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…

Analysis of PDEs · Mathematics 2017-09-13 Sepideh Afshar , Kirsten Morris , Amir Khajepour

Using a novel electrochemical phase-field model, we question the common belief that LixFePO4 nanoparticles separate into Li-rich and Li-poor phases during battery discharge. For small currents, spinodal decomposition or nucleation leads to…

Materials Science · Physics 2015-03-13 Peng Bai , Daniel A. Cogswell , Martin Z. Bazant

Computational modeling is vital for the fundamental understanding of processes in Li-ion batteries. However, capturing nanoscopic to mesoscopic phase thermodynamics and kinetics in the solid electrode particles embedded in realistic…

This paper proposes the linearized physics-based model of a lithium-ion battery that can be incorporated into the optimization framework for power system economic studies. The proposed model is a linear approximation of the single particle…

Systems and Control · Electrical Eng. & Systems 2022-07-08 Anton V. Vykhodtsev , Darren Jang , Qianpu Wang , William Rosehart , Hamidreza Zareipour
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