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Effective management and just-in-time maintenance of lithium-ion batteries require the knowledge of unmeasured (internal) variables that need to be estimated. Observers are thus designed for this purpose using a mathematical model of the…

Systems and Control · Electrical Eng. & Systems 2023-04-20 E. Petri , T. Reynaudo , R. Postoyan , D. Astolfi , D. Nesic , S. Rael

This paper investigates the observability of one of the most commonly used equivalent circuit models (ECMs) for lithium-ion batteries and presents a method to estimate the state of charge (SOC) in the presence of sensor biases, highlighting…

Systems and Control · Computer Science 2016-05-05 Shi Zhao , Stephen R. Duncan , David A. Howey

Lithium-ion battery packs are usually composed of hundreds of cells arranged in series and parallel connections. The proper functioning of these complex devices requires suitable Battery Management Systems (BMSs). Advanced BMSs rely on…

Systems and Control · Electrical Eng. & Systems 2019-09-30 Andrea Pozzi , Marcello Torchio , Richard D. Braatz , Davide M. Raimondo

Lithium-ion batteries have found their way into myriad sectors of industry to drive electrification, decarbonization, and sustainability. A crucial aspect in ensuring their safe and optimal performance is monitoring their energy levels. In…

Systems and Control · Electrical Eng. & Systems 2025-01-13 Hao Tu , Manashita Borah , Scott Moura , Yebin Wang , Huazhen Fang

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

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

Lithium-ion batteries are increasingly being deployed in liberalised electricity systems, where their use is driven by economic optimisation in a specific market context. However, battery degradation depends strongly on operational profile,…

Systems and Control · Electrical Eng. & Systems 2021-03-15 Jorn M. Reniers , Grietus Mulder , David A. Howey

Most mathematical models of the transport of charged species in battery electrodes require a constitutive relation describing intercalation of Lithium, which is a reversible process taking place on the interface between the electrolyte and…

With the importance of Li-ion and emerging alternative batteries to our electric future, predicting new sustainable materials, electrolytes and complete cells that safely provide high performance, long life, energy dense capability is…

Materials Science · Physics 2022-07-26 Alex Grant , Colm O'Dwyer

Predicting lithium-ion battery degradation is worth billions to the global automotive, aviation and energy storage industries, to improve performance and safety and reduce warranty liabilities. However, very few published models of battery…

The complex electrochemical behavior of lithium-ion batteries results in non-linear dynamics and appropriate modeling of this non-linear dynamical system is of interest for better management and control. In this work, we proposed a family…

Systems and Control · Electrical Eng. & Systems 2026-02-25 Khalid Mahmud Labib , Shabbir Ahmed

The paper suggests a new stochastic model for energy producing, dispatching, and storing in the multi-battery setting that takes into account the topology of the system of the links between the batteries, the transmission and storage…

Optimization and Control · Mathematics 2019-10-15 Nikolai Dokuchaev

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

In this paper, a novel electrochemical model for LiFePO$_4$ battery cells that accounts for the positive particle lithium intercalation and deintercalation dynamics is proposed. Starting from the enhanced single particle model, mass…

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

This study investigates two models of varying complexity for optimizing intraday arbitrage energy trading of a battery energy storage system using a model predictive control approach. Scenarios reflecting different stages of the system's…

Systems and Control · Electrical Eng. & Systems 2025-06-23 Martin Cornejo , Melina Graner , Holger Hesse , Andreas Jossen

Accurately predicting aging of lithium-ion batteries would help to prolong their lifespan, but remains a challenge owing to the complexity and interrelation of different aging mechanisms. As a result, aging prediction often relies on…

This paper presents a thermodynamically consistent model for multicomponent electrolyte solutions. The first part of this paper derives the general governing equations for nonequilibrium systems within the theory of nonequilibrium…

Analysis of PDEs · Mathematics 2016-05-25 Matthias Herz , Peter Knabner

The response of a model micro-electrochemical system to a time-dependent applied voltage is analyzed. The article begins with a fresh historical review including electrochemistry, colloidal science, and microfluidics. The model problem…

Soft Condensed Matter · Physics 2009-11-10 Martin Z. Bazant , Katsuyo Thornton , Armand Ajdari

Lithium-ion technologies are increasingly employed to electrify transportation and provide stationary energy storage for electrical grids, and as such their development has garnered much attention. However, their deployment is still…

Physics and Society · Physics 2021-04-26 Micah S. Ziegler , Jessika E. Trancik

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
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