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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…

材料科学 · 物理学 2020-05-05 Fan Wang , Ming Tang

The unified 3D phase-field model for the description of the lithium-ion cell as a whole is developed. The model takes into account the realistic distribution of particles in porous electrodes, percolative transport of ions, and the…

无序系统与神经网络 · 物理学 2021-05-11 Pavel E. L'vov , Mikhail Yu. Tikhonchev , Renat T. Sibatov

An adaptive parametric reduced-order modeling method based on interpolating poles of reduced-order models is proposed in this paper. To guarantee correct interpolation, a pole-matching process is conducted to determine which poles of two…

数值分析 · 数学 2019-08-05 Yao Yue , Lihong Feng , Peter Benner

Degradation prognosis for lithium-ion cells requires forecasting the state-of-health (SOH) trajectory over future cycles. Existing data-driven approaches can produce trajectory outputs through direct regression, but lack a mechanism to…

机器学习 · 计算机科学 2026-03-12 Kai Chin Lim , Khay Wai See

We consider model order reduction for a free boundary problem of an osmotic cell that is parameterized by material parameters as well as the initial shape of the cell. Our approach is based on an Arbitrary-Lagrangian-Eulerian description of…

数值分析 · 数学 2021-06-09 Christoph Lehrenfeld , Stephan Rave

We propose a new model reduction framework for problems that exhibit transport phenomena. As in the moving finite element method (MFEM), our method employs time-dependent transformation operators and, especially, generalizes MFEM to…

数值分析 · 数学 2020-10-30 Felix Black , Philipp Schulze , Benjamin Unger

Mechanical systems are often characterized only by their response to certain loads known from experiments or simulations. The obtained data can be used for various purposes: system analysis, design of mathematical models, or construction of…

动力系统 · 数学 2026-01-05 Yevgeniya Filanova , Igor Pontes Duff , Pawan Goyal , Peter Benner

This work explores controllability and the control effort required for lithium-ion batteries. Battery packs have become a critical technology in both personal and professional applications as a means to store large amounts of energy.…

系统与控制 · 电气工程与系统科学 2026-04-14 Preston T. Abadie , Donald J. Docimo

An approach to derive low-complexity models describing thermal radiation for the sake of simulating the behavior of electric arcs in switchgear systems is presented. The idea is to approximate the (high dimensional) full-order equations,…

最优化与控制 · 数学 2015-12-09 Lorenzo Fagiano , Rudolf Gati

This work optimizes a lithium-ion battery charging schedule while considering a joint revenue and battery degradation model. The study extends the work of Meheswari et. al. to encourage battery usage/charging at optimal intervals depending…

最优化与控制 · 数学 2022-06-01 Jacob Azoulay , Nico Carballal

This paper presents a novel method to describe battery degradation. We use the concept of degradation maps to model the incremental charge capacity loss as a function of discrete battery control actions and state of charge. The maps can be…

系统与控制 · 计算机科学 2019-03-19 Philipp Fortenbacher , Göran Andersson

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…

数值分析 · 数学 2025-10-02 Ali Asad , Romain de Loubens , Laurent François , Marc Massot

In this work we analyse the local nonlinear electrochemical impedance spectroscopy (NLEIS) response of a lithium-ion battery and estimate model parameters from measured NLEIS data. The analysis assumes a single-particle model including…

化学物理 · 物理学 2023-04-24 T. L. Kirk , A. Lewis-Douglas , D. A. Howey , C. P. Please , S. J. Chapman

We consider the computation of averaged coefficients for the homogenization of elliptic partial differential equations. In this problem, like in many multiscale problems, a large number of similar computations parametrized by the…

数值分析 · 数学 2016-08-14 Sébastien Boyaval

We propose a new hyper-reduction method for a recently introduced nonlinear model reduction framework based on dynamically transformed basis functions and especially well-suited for advection-dominated systems. Furthermore, we discuss…

数值分析 · 数学 2021-08-30 Felix Black , Philipp Schulze , Benjamin Unger

We provide an analytical framework for balanced realization model order reduction of linear control systems which depend on an unknown parameter. Besides recovering known results for the first order corrections, we obtain explicit novel…

系统与控制 · 计算机科学 2016-06-24 Carles Batlle , Nestor Roqueiro

In this study we construct a data-driven model describing Lithium plating in a battery cell, which is a key process contributing to degradation of such cells. Starting from the fundamental Doyle-Fuller-Newman (DFN) model, we use asymptotic…

化学物理 · 物理学 2024-08-28 Avesta Ahmadi , Kevin J. Sanders , Gillian R. Goward , Bartosz Protas

We propose a novel framework for model-order reduction of hyperbolic differential equations. The approach combines a relaxation formulation of the hyperbolic equations with a discretization using shifted base functions. Model-order…

数值分析 · 数学 2021-05-03 Sara Grundel , Michael Herty

Lithium-ion batteries exhibit nonlinear voltage dynamics across varying operating conditions and aging states, making accurate modeling essential for estimation, control, and health monitoring. This work compares two data-driven frameworks…

系统与控制 · 电气工程与系统科学 2026-05-05 Khalid Mahmud Labib , Inayat Rasool , Shabbir Ahmed

Early degradation prediction of lithium-ion batteries is crucial for ensuring safety and preventing unexpected failure in manufacturing and diagnostic processes. Long-term capacity trajectory predictions can fail due to cumulative errors…

信号处理 · 电气工程与系统科学 2023-04-03 Seongyoon Kim , Hangsoon Jung , Minho Lee , Yun Young Choi , Jung-Il Choi