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Related papers: Non-ideal Linear Operation Model for a Li-ion Batt…

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Capacity and coulombic efficiency are often used to assess the performance of Li-ion batteries, under the assumption that these quantities can provide direct insights about the rate of electron consumption due to growth of the solid…

Chemical Physics · Physics 2022-11-11 Marco-Tulio Fonseca Rodrigues

Linearized models of power systems are often desirable to formulate tractable control and optimization problems that still reflect real-world physics adequately under various operating conditions. In this paper, we propose an approach that…

Optimization and Control · Mathematics 2018-05-28 Marc Hohmann , Joseph Warrington , John Lygeros

In recent years there has been a major interest in developing all solid state batteries, for the sake of safety (issues due to toxic and flammable organic liquid electrolytes are well known) as well as of high energy density…

Materials Science · Physics 2021-05-07 L. Cabras , V. Oancea , A. Salvadori

Due to high power in-feed from photovoltaics, it can be expected that more battery systems will be installed in the distribution grid in near future to mitigate voltage violations and thermal line and transformer overloading. In this paper,…

Systems and Control · Computer Science 2017-03-17 Philipp Fortenbacher , Johanna L. Mathieu , Göran Andersson

Battery health assessment and recuperation play a crucial role in the utilization of second-life Li-ion batteries. However, due to ambiguous aging mechanisms and lack of correlations between the recovery effects and operational states, it…

Signal Processing · Electrical Eng. & Systems 2024-04-04 Riko I Made , Jing Lin , Jintao Zhang , Yu Zhang , Lionel C. H. Moh , Zhaolin Liu , Ning Ding , Sing Yang Chiam , Edwin Khoo , Xuesong Yin , Guangyuan Wesley Zheng

Tuning parameters in model predictive control (MPC) presents significant challenges, particularly when there is a notable discrepancy between the controller's predictions and the actual behavior of the closed-loop plant. This mismatch may…

Systems and Control · Electrical Eng. & Systems 2024-10-11 Sebastian Hirt , Andreas Höhl , Joachim Schaeffer , Johannes Pohlodek , Richard D. Braatz , Rolf Findeisen

We consider a quantum battery modeled as a set of N independent two-level quantum systems driven by a time dependent classical source. Different figures of merit, such as stored energy, time of charging and energy quantum fluctuations…

Mesoscale and Nanoscale Physics · Physics 2020-07-02 A. Crescente , M. Carrega , M. Sassetti , D. Ferraro

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…

The prediction of battery rate performance traditionally relies on computation-intensive numerical simulations. While simplified analytical models have been developed to accelerate the calculation, they usually assume battery performance to…

Materials Science · Physics 2024-04-09 Hongxuan Wang , Fan Wang , Ming Tang

In this paper, we propose a robust optimization model that addresses both the cost-efficiency and fast charging requirements for electric vehicles (EVs) at charging stations. By combining elements from traditional cost-minimization models…

Systems and Control · Electrical Eng. & Systems 2025-02-07 Trung Duc Tran , Ngoc-Doanh Nguyen , Hong T. M. Chu , Laurent El Ghaoui , Luca Ambrosino , Giuseppe Calafiore

A growing interest in the study of aging related phenomena in lithium-ion batteries is propelled by the increasing utilization of energy storage systems in electric vehicles and in buildings as stationery energy accumulators paired with…

Systems and Control · Electrical Eng. & Systems 2022-06-14 Cory Miller , Mithun Goutham , Xiaoling Chen , Prasad Dev Hanumalagutti , Rachel Blaser , Stephanie Stockar

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

Silicon-containing lithium-ion batteries can exhibit capacity gain early in life, which makes forecasting future cell behavior difficult. We have observed these anomalous trends even in conditions where known mechanisms, such as overhang…

Chemical Physics · Physics 2026-02-17 Marco-Tulio F. Rodrigues , Charles McDaniel , Stephen E. Trask , Daniel P. Abraham

In this article the Butler-Volmer equation used in describing Lithium-ion (Li-ion) batteries is discussed. First, a complete mathematical model based on a macro-homogeneous approach developed by Neuman is presented. Two common mistakes…

Chemical Physics · Physics 2015-03-20 A. M. Ramos , C. P. Please

The non-convex complementarity constraints present a fundamental computational challenge in energy constrained optimization problems. In this work, we present a new, linear, and robust battery optimization formulation that sidesteps the…

Optimization and Control · Mathematics 2021-09-13 Nawaf Nazir , Mads Almassalkhi

In this paper we study a system of partial differential equations which models lithium-ion batteries. The system describes the conservation of Lithium and conservation of charges in the solid and electrolyte phases, together with the…

Analysis of PDEs · Mathematics 2022-02-08 Xiangsheng Xu

Electric power systems are undergoing a major transformation as they integrate intermittent renewable energy sources, and batteries to smooth out variations in renewable energy production. As privately-owned batteries grow from their role…

Theoretical Economics · Economics 2025-04-02 Jerry Anunrojwong , Santiago R. Balseiro , Omar Besbes , Bolun Xu

A reinforcement learning-based optimal charging strategy is proposed for Li-ion batteries to extend the battery life and to ensure the end-user convenience. Unlike most previous studies that do not reflect real-world scenario well, in this…

Systems and Control · Electrical Eng. & Systems 2020-05-19 Minho Kim , Jongchan Baek , Soohee Han

This paper presents models for renewable energy systems with storage, and considers its optimal operation. We model and simulate wind and solar power production using stochastic differential equations as well as storage of the produced…

Optimization and Control · Mathematics 2022-12-20 Nicola Cantisani , Tobias K. S. Ritschel , Christian A. Thilker , Henrik Madsen , John Bagterp Jørgensen

By informing accurate performance (e.g., capacity), health state management plays a significant role in safeguarding battery and its powered system. While most current approaches are primarily based on data-driven methods, lacking in-depth…

Signal Processing · Electrical Eng. & Systems 2020-08-13 Yan Qin , Chau Yuen , Stefan Adams