Model for a bipolar Li-ion battery module: Automated model generation, validation and verification

Somasundaram, Karthik; Birgersson, Erik; Mujumdar, Arun S.

doi:10.1016/j.amc.2012.08.070

Cited by 5 publications

References 35 publications

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“…In a lithium-ion battery, the local transfer current density at the reaction sites can be calculated using the Butler-Volmer Equation as [16,27,28] Anode: …”

Section: 33model Equations For Ionic Liquid Based Li-ion Batterymentioning

confidence: 99%

Electrochemical Model for Ionic Liquid Electrolytes in Lithium Batteries

Yoo

Deshpande

Banerjee

et al. 2015

Electrochimica Acta

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“…In a lithium-ion battery, the local transfer current density at the reaction sites can be calculated using the Butler-Volmer Equation as [16,27,28] Anode: …”

Section: 33model Equations For Ionic Liquid Based Li-ion Batterymentioning

confidence: 99%

Electrochemical Model for Ionic Liquid Electrolytes in Lithium Batteries

Yoo

Deshpande

Banerjee

et al. 2015

Electrochimica Acta

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“…[45][46][47][48][49][50][51] The dimensionless parameters α, β, γ and δ in the electrolyte and electrode phases, readily calculated from (7) and (19), are reported in Table II and plotted on the corresponding phase diagram for the electrolyte and electrode, Figure 3 and 4, respectively. LiC6 [43] LiC6 [44] LixC6 [45] Li1−xC6 [46] LiCoO2 [45] LiFePO4 [42] LiFePO4 [44] Li4Ti5O12 [47,48] Figure 4. Values of the dimensionless parameters (δ, γ) for the most commonly used lithium-ion battery materials.…”

Section: Case Study For Commercial Batteries: Validity Of Macroscale mentioning

confidence: 99%

“…In particular, we compare the accuracy of continuum-scale models with either their fully resolved (3D) counterparts or with experiments as reported in a number of studies. [45][46][47][48][49][50][51] More importantly, we relate macroscale models' predictive performance to the applicability regimes defined in Figures (1) and (2), and employ the former as a screening tool to a priori evaluate continuum model predictivity under variable C-rate.…”

Section: Case Study For Commercial Batteries: Validity Of Macroscale mentioning

confidence: 99%

“…Among the twelve chemistry considered in this analysis, [45][46][47][48][49][50][51] ten possess electrolyte effective transport coefficients, i.e. dimensionless numbers (α, β), which do not violate the applicability conditions of macroscale models, see Figure 3.…”

Section: Case Study For Commercial Batteries: Validity Of Macroscale mentioning

confidence: 99%

“…This is consistent with the numerical approaches used in Refs. [45][46][47][48][49][50][51], where no upscaled model is used in the active particles and the transport in the solid electrode is solved at the microscale. It is worth noticing that, since bounds on α, β, γ and δ have to be concurrently satisfied, the numerical simulations matched well the experiments only when the conditions on (α, β) were not violated, as discussed previously.…”

Section: Case Study For Commercial Batteries: Validity Of Macroscale mentioning

confidence: 99%

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On Veracity of Macroscopic Lithium-Ion Battery Models

Arunachalam

Onori

Battiato

2015

J. Electrochem. Soc.

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Batteries are electrochemical energy storage devices that exhibit physico-chemical heterogeneity on a continuity of scales. As such, battery systems are amenable to mathematical descriptions on a multiplicity of scales that range from atomic to continuum. In this paper we present a new method to assess the veracity of macroscopic models of lithium-ion batteries. Macroscopic models treat the electrode as a continuum and are often employed to describe the mass and charge transfer of lithium since they are computational tractable and practical to model the system at the cell scale. Yet, they rely on a number of simplifications and assumptions that may be violated under given operating conditions. We use multiple-scale expansions to upscale the pore-scale Poisson-Nerst-Planck (PNP) equations and establish sufficient conditions under which macroscopic dual-continua mass and charge transport equations accurately represent pore-scale dynamics. We propose a new method to quantify the relative importance of three key pore-scale transport mechanisms (electromigration, diffusion and heterogenous reaction) by means of the electric Péclet (Pe) and Damköhler (Da) numbers in the electrolyte and the electrode phases. For the first time, applicability conditions of macroscopic models through a phase diagram in the (Da-Pe)-space are defined. Finally, we discuss how the new proposed tool can be used to assess the validity of macroscopic models across different battery chemistry and conditions of operation. In particular, a case study analysis is presented using commercial lithium-ion batteries that investigates the validity of Newman-type macroscopic models under temperature and current rate of charge/discharge variation. Predictive understanding of battery dynamical behavior still remains a major bottleneck in achieving diagnostic capabilities, safety, optimization and control of battery systems under different operating conditions. Such a difficulty arises from two main factors: i) nonlinearity of lithium-ion transport processes 1 and ii) battery systems multiscale structure that exhibits physicochemical heterogeneity on a continuity of scales (from the nanometer to the meter).2-5 Since the seminal work by Newman and Tiedemann, 6 where macroscopic ion transport equations were first formulated, a plethora of models have spurred in the past decades. They range from fully empirical approaches to generalizations of electrochemical models based on the porous electrode theory to account for concentrated solutions, 7,8 thermal effects 9 and capacity fade due to Solid-Electrolyte Interphase (SEI)-growth, [10][11][12] just to mention a few. In the past decade, ever increasing computational capabilities have fuelled the development of fully molecular/atomistic models and multiscale/multiphysics approaches. 13 For a thorough review on the topic, we refer the reader to Ref. 4. Microscale models 14,15 (e.g. molecular dynamics, kinetic Monte Carlo and pore-scale models) are theoretically robust, but are impractical as a predictive tool at t...

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Model for a bipolar Li-ion battery module: Automated model generation, validation and verification

Cited by 5 publications

References 35 publications

Electrochemical Model for Ionic Liquid Electrolytes in Lithium Batteries

Electrochemical Model for Ionic Liquid Electrolytes in Lithium Batteries

On Veracity of Macroscopic Lithium-Ion Battery Models

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