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Polymer electrolytes are intensely investigated for use as solid electrolytes in next generation lithium-ion and lithium-metal batteries. However, little is known about the structural and dynamical properties of polymer electrolytes close…

Soft Condensed Matter · Physics 2021-12-02 Andreas Thum , Diddo Diddens , Andreas Heuer

In order to achieve a better understanding of degradation processes in lithium-ion batteries, the modelling of cell dynamics at the mircometer scale is an important focus of current mathematical research. These models lead to…

Numerical Analysis · Mathematics 2018-03-09 Mario Ohlberger , Stephan Rave , Sebastian Schmidt , Shiquan Zhang

Nanofluidic systems exhibit transport characteristics that have made technological marvels such as desalination, energy harvesting, and highly sensitive biomolecule sensing possible by virtue of their ability to influence small currents due…

Fluid Dynamics · Physics 2023-08-22 John Sebastian , Yoav Green

As the design of single-component battery electrodes has matured, the battery industry has turned to hybrid electrodes with blends of two or more active materials to enhance battery performance. Leveraging the best properties of each…

Materials Science · Physics 2023-05-26 Qiaohao Liang , Martin Z. Bazant

In this paper we develop an analytical framework for the study of electrochemical impedance of mixed ionic and electronic conductors (MIEC). The framework is based on first-principles and it features the coupling of electrochemical…

Chemical Physics · Physics 2017-08-23 Francesco Ciucci , Yong Hao , David G. Goodwin

A three-dimensional model of a single-layer lithium-ion pouch cell is presented which couples conventional porous electrode theory describing cell electrochemical behaviour with an energy balance describing cell thermal behaviour.…

Applied Physics · Physics 2020-05-12 Robert Timms , Scott G. Marquis , Valentin Sulzer , Colin Please , S. Jon Chapman

In this paper we review several approaches to mathematical modeling of simple battery cells and develop these ideas further with emphasis on charge recovery and the response behavior of batteries to given external load. We focus on models…

Probability · Mathematics 2016-04-04 Ingemar Kaj , Victorien Konané

Mathematical modeling of lithium-ion batteries (LiBs) is a primary challenge in advanced battery management. This paper proposes two new frameworks to integrate physics-based models with machine learning to achieve high-precision modeling…

Computational Engineering, Finance, and Science · Computer Science 2024-08-23 Hao Tu , Scott Moura , Yebin Wang , Huazhen Fang

Higher energy density and longer lifetime are the requirements for next-generation lithium-ion batteries. A promising anode material is silicon, which offers high specific capacity, but its significant volume change during lithiation and…

Porous electrode theory, pioneered by John Newman and collaborators, provides a useful macroscopic description of battery cycling behavior, rooted in microscopic physical models rather than empirical circuit approximations. The theory…

Chemical Physics · Physics 2017-02-28 Raymond B. Smith , Martin Z. Bazant

This paper proposes physical-based, reduced-order electrochemical models that are much faster than the electrochemical pseudo 2D (P2D) model, while providing high accuracy even under the challenging conditions of high C-rate and strong…

Chemical Physics · Physics 2023-05-30 Tianhan Gao , Wei Lu

Key to advancing lithium-ion battery technology, and in particular fast charging capabilities, is our ability to follow and understand the dynamic processes occurring in operating materials under realistic conditions, in real time, and on…

Materials Science · Physics 2021-06-28 Alice J. Merryweather , Christoph Schnedermann , Quentin Jacquet , Clare P. Grey , Akshay Rao

The recent emergence of lead-halide perovskites as active layer materials for thin film semiconductor devices including solar cells, light emitting diodes, and memristors has motivated the development of several new drift-diffusion models…

This study presents a comprehensive analysis of a two-level battery charger for electric vehicles, focusing on modeling, simulation, and performance evaluation. The proposed charger topology employs two switches operating complementarily,…

Systems and Control · Electrical Eng. & Systems 2025-01-09 José M. Campos-Salazar , Juan L. Aguayo-Lazcano , Roya Rafiezadeh

Lithium ion batteries have been a central part of consumer electronics for decades. More recently, they have also become critical components in the quickly arising technological fields of electric mobility and intermittent renewable energy…

Computational Physics · Physics 2021-11-15 Chiara Panosetti , Simon B. Anniés , Cristina Grosu , Stefan Seidlmayer , Christoph Scheurer

The Jaynes-Cummings model describes the coupling between photons and a single two-level atom in a simplified representation of light-matter interactions. In circuit QED, this model is implemented by combining microwave resonators and…

Quantum Physics · Physics 2013-09-30 Sebastian Schmidt , Jens Koch

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

In this paper we study a system of partial differential equations which models lithium-ion batteries. The system describes the conservation of Lithium and conservation of charges in the solid and electrolyte phases, together with the…

Analysis of PDEs · Mathematics 2022-02-08 Xiangsheng Xu

Li-ion battery degradation processes are multi-scale, heterogeneous, dynamic and involve multiple cell components through cross talk mechanisms. Correlated operando characterization capable of measuring several key parameters are needed to…

Many intercalation compounds possess layered structures or inter-penetrating lattices that enable phase separation into three or more stable phases, or "stages," driven by competing intra-layer and inter-layer forces. While these structures…

Chemical Physics · Physics 2017-06-27 Raymond B. Smith , Edwin Khoo , Martin Z. Bazant