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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

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

In this contribution we present first results towards localized model order reduction for spatially resolved, three-dimensional lithium-ionbattery models. We introduce a localized reduced basis scheme based on non-conforming local…

Numerical Analysis · Mathematics 2018-03-09 Mario Ohlberger , Stephan Rave

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

In this paper the authors study a non-linear elliptic-parabolic system, which is motivated by mathematical models for lithium-ion batteries. One state satisfies a parabolic reaction diffusion equation and the other one an elliptic equation.…

Numerical Analysis · Mathematics 2023-08-02 Behzad Azmi , Andrea Petrocchi , Stefan Volkwein

Parametric model order reduction using reduced basis methods can be an effective tool for obtaining quickly solvable reduced order models of parametrized partial differential equation problems. With speedups that can reach several orders of…

Numerical Analysis · Mathematics 2022-01-26 Mario Ohlberger , Stephan Rave

Parametric model order reduction by matrix interpolation allows for efficient prediction of the behavior of dynamic systems without requiring knowledge about the underlying parametric dependency. Within this approach, reduced models are…

Dynamical Systems · Mathematics 2025-06-03 Sebastian Resch-Schopper , Romain Rumpler , Gerhard Müller

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…

Accurate modeling of lithium ion (li-ion) batteries is essential for enhancing the safety, and efficiency of electric vehicles and renewable energy systems. This paper presents a data-inspired approach for improving the fidelity of…

Systems and Control · Electrical Eng. & Systems 2024-11-21 Samuel Filgueira da Silva , Mehmet Fatih Ozkan , Faissal El Idrissi , Prashanth Ramesh , Marcello Canova

We provide first the functional analysis background required for reduced order modeling and present the underlying concepts of reduced basis model reduction. The projection-based model reduction framework under affinity assumptions,…

Numerical Analysis · Mathematics 2023-08-30 Gianluigi Rozza , Martin Hess , Giovanni Stabile , Marco Tezzele , Francesco Ballarin

Efficient parameter identification of electrochemical models is crucial for accurate monitoring and control of lithium-ion cells. This process becomes challenging when applied to complex models that rely on a considerable number of…

Systems and Control · Electrical Eng. & Systems 2024-05-20 Jianzong Pi , Samuel Filgueira da Silva , Mehmet Fatih Ozkan , Abhishek Gupta , Marcello Canova

We present a simulation workflow for efficient investigations of the interplay between 3D lithium-ion electrode microstructures and electrochemical performance, with emphasis on lithium plating. Our approach addresses several challenges.…

Currently, the characterization of electric energy storage units used for power system operation and planning models relies on two major assumptions: charge and discharge efficiencies, and power limits are constant and independent of the…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Alvaro Gonzalez-Castellanos , David Pozo , Aldo Bischi

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

Cell inconsistency within a lithium-ion battery system poses a significant challenge in maximizing the system operational time. This study presents an optimization-driven active balancing method to minimize the effects of cell inconsistency…

Systems and Control · Electrical Eng. & Systems 2024-05-03 Yiming Xu , Xiaohua Ge , Ruohan Guo , Weixiang Shen

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

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

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

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

For many practical applications, fully coupled three-dimensional models describing the behaviour of lithium-ion pouch cells are too computationally expensive. However, owing to the small aspect ratio of typical pouch cell designs, such…

Computational Physics · Physics 2020-08-11 Scott G. Marquis , Robert Timms , Valentin Sulzer , Colin P. Please , S. Jon Chapman
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