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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

The penetrations of lithium-ion batteries in transport, energy and communication systems are increasing rapidly. A meticulous model applicable for precise in-situ monitoring and convenient online controlling is in sought to bridge the gap…

Systems and Control · Electrical Eng. & Systems 2022-03-22 Yuxuan Gu , Jianxiao Wang , Yuanbo Chen , Zhongwei Deng , Hongye Guo , Kedi Zheng , Qixin Chen

We investigate the modeling and simulation of ionic transport and charge conservation in lithium-ion batteries (LIBs) at the microscale. It is a multiphysics problem that involves a wide range of time scales. The associated computational…

Numerical Analysis · Mathematics 2025-10-02 Ali Asad , Romain de Loubens , Laurent François , Marc Massot

Accurately identifying the parameters of electrochemical models of li-ion battery (LiB) cells is a critical task for enhancing the fidelity and predictive ability. Traditional parameter identification methods often require extensive data…

Systems and Control · Electrical Eng. & Systems 2025-04-23 Ian Mikesell , Samuel Filgueira da Silva , Mehmet Fatih Ozkan , Faissal El Idrissi , Prashanth Ramesh , Marcello Canova

This work presents a comparative study of optimization techniques for parameter identification in equivalent electrical models of lithium-ion batteries. The 2RC model is applied to a set of twelve batteries using four publicly available…

Optimization and Control · Mathematics 2025-12-03 Johan Sebastian Suarez Sepúlveda , Edgar Hernando Sepúlveda-Oviedo , Bruno Jammes , Corinne Alonso

The physics-based Doyle-Fuller-Newman (DFN) model, widely adopted for its precise electrochemical modeling, stands out among various simulation models of lithium-ion batteries (LIBs). Although the DFN model is powerful in forward predictive…

Computational Engineering, Finance, and Science · Computer Science 2025-04-30 Weipeng Xu , Kaiqi Yang , Yuzhi Zhang , Shichao Sun , Sheng Mao , Tianju Xue

Accurate parameter estimation in electrochemical battery models is essential for monitoring and assessing the performance of lithium-ion batteries (LiBs). This paper presents a novel approach that combines deep reinforcement learning (DRL)…

Systems and Control · Electrical Eng. & Systems 2025-06-25 Mehmet Fatih Ozkan , Samuel Filgueira da Silva , Faissal El Idrissi , Prashanth Ramesh , Marcello Canova

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

Accurate estimation of the internal states of lithium-ion batteries is key towards improving their management for safety, efficiency and longevity purposes. Various approaches exist in the literature in this context, among which designing…

Systems and Control · Electrical Eng. & Systems 2023-08-21 Mira Khalil , Romain Postoyan , Stéphane Raël

Lithium-Ion (Li-I) batteries have recently become pervasive and are used in many physical assets. To enable a good prediction of the end of discharge of batteries, detailed electrochemical Li-I battery models have been developed. Their…

Machine Learning · Computer Science 2020-12-09 Ajaykumar Unagar , Yuan Tian , Manuel Arias-Chao , Olga Fink

The demand for lithium ion batteries (LIBs) on the market has gradually risen, with production increasing every year. To meet industrial needs, the development of digital twins designed to optimize LIB manufacturing processes is essential.…

We propose a non-intrusive Deep Learning-based Reduced Order Model (DL-ROM) capable of capturing the complex dynamics of mechanical systems showing inertia and geometric nonlinearities. In the first phase, a limited number of high fidelity…

Numerical Analysis · Mathematics 2021-11-25 Stefania Fresca , Giorgio Gobat , Patrick Fedeli , Attilio Frangi , Andrea Manzoni

Accurate parameter dependent electro-chemical numerical models for lithium-ion batteries are essential in industrial application. The exact parameters of each battery cell are unknown and a process of estimation is necessary to infer them.…

Statistics Theory · Mathematics 2024-04-25 Andrea Petrocchi , Matthias K. Scharrer , Franz Pichler , Stefan Volkwein

Physics-based electrochemical battery models derived from porous electrode theory are a very powerful tool for understanding lithium-ion batteries, as well as for improving their design and management. Different model fidelity, and thus…

Battery degradation, which is the reduction of performance over time, is one of the main roadblocks to the wide deployment of lithium-ion batteries. Physics-based models, such as those based on the Doyle-Fuller-Newman model, are invaluable…

Chemical Physics · Physics 2023-06-06 Ferran Brosa Planella , W. Dhammika Widanage

In this contribution we present a new modeling and simulation framework for parametrized Lithium-ion battery cells. We first derive a new continuum model for a rather general intercalation battery cell on the basis of non-equilibrium…

Numerical Analysis · Mathematics 2021-10-13 M. Landstorfer , M. Ohlberger , S. Rave , M. Tacke

We introduce libdlr, a library implementing the recently introduced discrete Lehmann representation (DLR) of imaginary time Green's functions. The DLR basis consists of a collection of exponentials chosen by the interpolative decomposition…

Computational Physics · Physics 2023-07-31 Jason Kaye , Kun Chen , Hugo U. R. Strand

In this contribution we are concerned with efficient model reduction for multiscale problems arising in lithium-ion battery modeling with spatially resolved porous electrodes. We present new results on the application of the reduced basis…

Numerical Analysis · Mathematics 2019-10-30 Mario Ohlberger , Stephan Rave , Felix Schindler

We build a transient multidimensional multiphysical model based on continuum theories, involving the coupled mechanical, thermal and electrochemical phenomena occurring simultaneously in the discharge or charge of lithium-ion batteries. The…

Numerical Analysis · Mathematics 2024-03-26 Jaime Mora-Paz

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…

Numerical Analysis · Mathematics 2025-07-09 Shu Xu , Liqun Cao
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