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All solid state batteries are claimed to be the next-generation battery system, in view of their safety accompanied by high energy densities. A new advanced, multiscale compatible, and fully three dimensional model for solid electrolytes is…

Applied Physics · Physics 2022-03-15 L. Cabras , D. Danilov , W. Subber , V. Oancea , A. Salvadori

We present a systematic analysis and classification of several models of quantum batteries involving different combinations of two level systems and quantum harmonic oscillators. In particular, we study energy transfer processes from a…

Equivalent Circuit Model(ECM)has been widelyused in battery modeling and state estimation because of itssimplicity, stability and interpretability.However, ECM maygenerate large estimation errors in extreme working conditionssuch as…

Signal Processing · Electrical Eng. & Systems 2024-07-31 Zelin Guo , Yiyan Li , Zheng Yan , Mo-Yuen Chow

Quantum batteries, which are quantum systems to be used for storage and transformation of energy, are attracting research interest recently. A promising candidate for their investigation is the Dicke model, which describes an ensemble of…

Quantum Physics · Physics 2024-02-13 S. S. Seidov , S. I. Mukhin

In this paper we address the challenging problem of designing globally convergent estimators for the parameters of nonlinear systems containing a non-separable exponential nonlinearity. This class of terms appears in many practical…

Dynamical Systems · Mathematics 2022-11-17 Romeo Ortega , Alexey Bobtsov , Ramon Costa-Castello , Nikolay Nikolaev

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

The Electric Vehicle (EV) Industry has seen extraordinary growth in the last few years. This is primarily due to an ever increasing awareness of the detrimental environmental effects of fossil fuel powered vehicles and availability of…

Machine Learning · Computer Science 2021-12-01 Aniruddh Herle , Janamejaya Channegowda , Dinakar Prabhu

Lithium ion batteries are attracting significant and growing interest, because their high energy and high power density render them an excellent option for energy storage, particularly in hybrid and electric vehicles. In this brief, a…

Systems and Control · Computer Science 2018-05-18 Rishi Relan , Yousef Firouz , Jean-Marc Timmermans , Johan Schoukens

This study examines the discharge behaviour of a cylindrical LiFeS2 cell to evaluate the parameters that can be used to predict and estimate the nonlinear dynamic response of a battery. A linear model is developed to simulate the discharge…

Systems and Control · Electrical Eng. & Systems 2023-11-07 Khaled I Alsharif , Alexander H Pesch , Vamsi Borra , Pedro Cortes , Eric MacDonald , Frank X Li , Kyosung Choo

Accurate identification of lithium-ion (Li-ion) battery parameters is essential for managing and predicting battery behavior. However, existing discrete-time methods hinder the estimation of physical parameters and face the fast-slow…

Systems and Control · Electrical Eng. & Systems 2025-09-26 Yang Wang , Riccardo M. G. Ferrari , Michel Verhaegen

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

Lithium ion batteries are widely used in many applications. Battery management systems control their optimal use and charging and predict when the battery will cease to deliver the required output on a planned duty or driving cycle. Such…

Machine Learning · Computer Science 2025-02-21 Maricela Best McKay , Bhushan Gopaluni , Brian Wetton

Physics-based battery modelling has emerged to accelerate battery materials discovery and performance assessment. Its success, however, is still hindered by difficulties in aligning models to experimental data. Bayesian approaches are a…

Methodology · Statistics 2025-12-12 Yannick Kuhn , Masaki Adachi , Micha Philipp , David A. Howey , Birger Horstmann

In this article, a novel implementation of a widely used pseudo-two-dimensional (P2D) model for lithium-ion battery simulation is presented with a transmission line circuit structure. This implementation represents an interplay between…

Chemical Physics · Physics 2021-11-03 Zeyang Geng , Siyang Wang , Matthew J. Lacey , Daniel Brandell , Torbjörn Thiringer

- This work has been submitted to IFAC for possible publication - Models of traction batteries are an essential tool throughout the development of automotive drivetrains. Surprisingly, today's massively collected battery data is not yet…

Machine Learning · Computer Science 2021-01-01 Philipp Gesner , Frank Kirschbaum , Richard Jakobi , Bernard Bäker

The Cahn-Hilliard reaction model, a nonlinear, evolutionary PDE, was introduced to model phase separation in lithium-ion batteries. Using Butler-Volmer kinetics for electrochemical consistency, this model allows lithium-ions to enter the…

Analysis of PDEs · Mathematics 2022-06-30 Kerrek Stinson

The Brownian motion of a single particle is a paradigmatic model of the nonequilibrium dynamics of dissipative systems. In the system-plus-reservoir approach, one can derive the particle's equations of motion from the reversible dynamics of…

Statistical Mechanics · Physics 2023-01-18 Elisa I. Goettems , Ricardo J. S. Afonso , Diogo O. Soares-Pinto , Daniel Valente

This paper presents a \textit{physics-based} steady-state equivalent circuit model of a two-stage bidirectional inverter. These inverters connect distributed energy resources (DERs), such as photovoltaic (PV) and battery systems, to…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Emmanuel O. Badmus , Amritanshu Pandey

Nonreciprocity, arising from the breaking of time-reversal symmetry, has become a fundamental tool in diverse quantum technology applications. It enables directional flow of signals and efficient noise suppression, constituting a key…

Quantum Physics · Physics 2024-05-29 Borhan Ahmadi , Paweł Mazurek , Paweł Horodecki , Shabir Barzanjeh

Exploiting many-body interaction and critical phenomena to improve the performance of quantum batteries is an emerging and promising line of research. A central question in this direction is whether quantum phase transitions can enhance the…

Quantum Physics · Physics 2026-03-04 D. Farina , M. Sassetti , V. Cataudella , D. Ferraro , N. Traverso Ziani