The Composite Insertion Electrode: Theoretical Part. Equilibrium in the Insertion Compound and Linear Potential Dependence

Atlung, S.; Zachau‐Christiansen, B.; West, Keld; Jacobsen, Torben

doi:10.1149/1.2115778

Cited by 56 publications

(50 citation statements)

References 25 publications

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“…The earliest mathematical models for the composite insertion electrode was developed by West and his coworkers. 7,8 The model by West, et al, covered only a single porous electrode and did not have the advantages of a full-cell sandwich model. This model lacked the treatment of complex, interacting phenomena between the cell layers and utility for design purposes.…”

Section: Electrochemical Engineering In Li-ion Battery Modelsmentioning

confidence: 99%

Electrochemical-Engineering-Based Models for Lithium-Ion Batteries—Past, Present, and Future

Ramadesigan

2017

Electrochem. Soc. Interface

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More than 25 years have passed since SONY commercialized the first Li-ion battery in 1990.1 Today, Li-ion batteries are prevalent in a wide gamut of applications including portable electronic devices, automobiles, energy storage, military, and space. The current push towards adopting renewable energy sources and electric vehicles have led to increased dependence on batteries. The critical needs for batteries with high power capabilities, high-energy storage capabilities, insensitivity to charging/discharging parameters, long lifetimes without significant degradation of performance, and portability with very small footprint/volume are increasing day by day. We make trade-offs to optimize their performance for a given application.Battery modeling plays a very important role in designing efficient, cost effective, and safe batteries. Mathematical modeling allows us to explore a wide variety of system parameters with a minimum expenditure of time and materials. This requires a certain amount of confidence in the ability of the model to describe the system properly. However, in any case, the optimum design identified in the modeling effort can be built, tested, and used as a first approximation to a truly optimized design.2 Empirical models employ past experimental data to predict future behavior of Li-ion batteries without the consideration of physicochemical principles. It is extremely important for the battery models to be based on the underlying physical phenomena to facilitate efficient cell design to develop better and more efficient batteries with existing technologies.The electrochemical engineering field has long employed macroscopic continuum models that incorporate chemical/ electrochemical kinetics and transport phenomena to produce more accurate predictions than empirical models. Electrochemical engineering models of Li-ion batteries have appeared in the literature for more than twenty years. This article will discuss the history of battery modeling and the current state-of-the-art. Electrochemical Engineering in Li-Ion Battery ModelsIn the 1950s, the first models for current and potential distribution in porous battery electrodes were developed.3 Major strides towards understanding the behavior of porous electrodes were made in the early 1960s with the development of porous electrode theory. 4 This generalized the earlier modeling efforts into a macro-homogeneous modeling framework that is still used in most models to this day. Later the governing equations for porous electrodes were presented by Newman and Tiedemann in 1975. 5 Newman also presented similar equations for applications to electrochemical systems in general. 6 The first attempts to model the processes occurring in Li-ion insertion based cells were developed in the 1980s. The earliest mathematical models for the composite insertion electrode was developed by West and his coworkers. 7,8 The model by West, et al., covered only a single porous electrode and did not have the advantages of a full-cell sandwich model. This model lacked the treatm...

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Section: Electrochemical Engineering In Li-ion Battery Modelsmentioning

confidence: 99%

Electrochemical-Engineering-Based Models for Lithium-Ion Batteries—Past, Present, and Future

Ramadesigan

2017

Electrochem. Soc. Interface

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“…They [2] have also obtained an analytical expression for the discharge curve in composite insertion electrodes. Subramaniam et al [3] have presented an extension to the method of separation of variables for solving the equations that control the concentration distributions in thin film and spherical electrodes.…”

Section: Oc(rt) -Ds~mentioning

confidence: 99%

Analytical solution to the material balance equation by integral transform for different cathode geometries

Johan

Arof

2004

Ionics

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“…A-6, 1000 g/kg f 4 conversion factor used in Eq. A-7, 1 ϫ 10 Ϫ6 m 2 /mm 2 f 5 conversion factor used in Eq. A-11, 3600 (A-g-s)/(mA-kg-h) f 6 conversion factor used in Eq.…”

Section: A64mentioning

confidence: 99%

“…1 Assuming the chemical potential as the driving force for the insertion process inside a cylindrical particle 24 [5] The initial condition and the boundary condition at R ϭ 0 are given by Eq. 2 and 3, respectively.…”

mentioning

confidence: 99%

Modeling Lithium Intercalation in a Porous Carbon Electrode

Botte

White

2001

J. Electrochem. Soc.

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Two different approaches were used to model the insertion of lithium ions into a carbon particle. In the first approach, a concentration gradient was considered as the driving force (DFM) for diffusion while in the second approach chemical potential driving force was used (CPM). Lithium ion-lithium ion interactions are included in the CPM model but not in the DFM model. These approaches were used to model a lithium foil/1 M LiClO 4 -propylene carbonate/carbon fiber cell. The model predictions indicate that the lithium ion-lithium ion interactions inside the particle play a significant role in predicting the electrochemical and thermal performance of the cell.

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The Composite Insertion Electrode: Theoretical Part. Equilibrium in the Insertion Compound and Linear Potential Dependence

Cited by 56 publications

References 25 publications

Electrochemical-Engineering-Based Models for Lithium-Ion Batteries—Past, Present, and Future

Electrochemical-Engineering-Based Models for Lithium-Ion Batteries—Past, Present, and Future

Analytical solution to the material balance equation by integral transform for different cathode geometries

Modeling Lithium Intercalation in a Porous Carbon Electrode

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