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The kinetic battery model is a popular model of the dynamic behavior of a conventional battery, useful to predict or optimize the time until battery depletion. The model however lacks certain obvious aspects of batteries in-the-wild,…

Systems and Control · Computer Science 2016-08-07 Holger Hermanns , Jan Krčál , Gilles Nies

Batteries are pivotal components in overcoming some of today's greatest technological challenges. Yet to date there is no self-consistent atomistic description of a complete battery. We take first steps toward modeling of a battery as a…

Materials Science · Physics 2013-08-16 Wolf B. Dapp , Martin H. Müser

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

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…

Materials Science · Physics 2020-05-05 Fan Wang , Ming Tang

This paper presents the current state of mathematical modelling of the electrochemical behaviour of lithium-ion batteries as they are charged and discharged. It reviews the models developed by Newman and co-workers, both in the cases of…

Chemical Physics · Physics 2020-02-04 Giles W Richardson , Jamie M Foster , Rahifa Ranom , Colin P Please , Angel M Ramos

Topological constraints have long been known to provide efficient mechanisms for localizing and storing energy across a range of length scales, from knots in DNA to turbulent plasmas. Despite recent theoretical and experimental progress on…

Soft Condensed Matter · Physics 2020-11-11 Vishal P. Patil , Žiga Kos , Miha Ravnik , Jörn Dunkel

We have developed a coarse-grained formulation for modeling the dynamic behavior of cells quantitatively, based on stochasticity and heterogeneity, rather than on biochemical reactions. We treat each reaction as a continuous-time stochastic…

Molecular Networks · Quantitative Biology 2015-05-28 Shunsuke Teraguchi , Yutaro Kumagai , Alexis Vandenbon , Shizuo Akira , Daron M Standley

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

Coupling with an external environment inevitably affects the dynamics of a quantum system. Here, we consider how charging performances of a quantum battery, modelled as a two level system, are influenced by the presence of an Ohmic thermal…

Mesoscale and Nanoscale Physics · Physics 2020-09-03 Matteo Carrega , Alba Crescente , Dario Ferraro , Maura Sassetti

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

The paper suggests a new stochastic model for energy producing, dispatching, and storing in the multi-battery setting that takes into account the topology of the system of the links between the batteries, the transmission and storage…

Optimization and Control · Mathematics 2019-10-15 Nikolai Dokuchaev

An isothermal porous-electrode model of a discharging lead-acid battery is presented, which includes an extension of concentrated-solution theory that accounts for excluded-volume effects, local pressure variation, and a detailed…

Chemical Physics · Physics 2020-06-05 Valentin Sulzer , S. Jon Chapman , Colin P. Please , David A. Howey , Charles W. Monroe

The growing integration of electric vehicle (EV) fleets into transportation services and energy systems requires accurate modeling of battery discharge and state-of-charge (SoC) evolution to ensure reliable vehicle operation and grid…

Systems and Control · Electrical Eng. & Systems 2026-03-03 Praharshitha Aryasomayajula , Ting Bai , Andreas A. Malikopoulos

Understanding battery degradation in electric vehicles (EVs) under real-world conditions remains a critical yet under-explored area of research. Central to this investigation is the challenge of estimating the specific degradation modes in…

Optimization and Control · Mathematics 2024-05-20 Raja Abhishek Appana , Faissal El Idrissi , Prashanth Ramesh , Marcello Canova , Chun Yong Kang , Kimoon Um

As global energy demands escalate, and the use of non-renewable resources become untenable, renewable resources and electric vehicles require far better batteries to stabilize the new energy landscape. To maximize battery performance and…

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

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

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

Reversible electropermeabilization, commonly referred to as electroporation, is a transient increase in cell membrane permeability induced by short, high-voltage electric pulses. We present a stochastically perturbed version of a…

Analysis of PDEs · Mathematics 2026-04-14 Tobias Gebäck , Oleksandr Misiats , Ioanna Motschan-Armen , Irina Pettersson

Efficient use of multiple batteries is a practical problem with wide and growing application. The problem can be cast as a planning problem under uncertainty. We describe the approach we have adopted to modelling and solving this problem,…

Artificial Intelligence · Computer Science 2014-01-24 Maria Fox , Derek Long , Daniele Magazzeni
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