Numerical study on lithium titanate battery thermal response under adiabatic condition

Sun, Qiujuan; Wang, Qingsong; Zhao, Xuejuan; Sun, Jinhua; Lin, Zijing

doi:10.1016/j.enconman.2014.12.019

Cited by 34 publications

(25 citation statements)

References 24 publications

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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.…”

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

Arunachalam¹,

Onori²,

Battiato³

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

confidence: 99%

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

confidence: 99%

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

confidence: 99%

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

confidence: 99%

See 2 more Smart Citations

On Veracity of Macroscopic Lithium-Ion Battery Models

Arunachalam¹,

Onori²,

Battiato³

2015

J. Electrochem. Soc.

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“…Furthermore, the coefficients in the partial differential equations and many response functions, (12a-17), (35)(36)(37)(38)(39)(40)(41) and (47) depend on the primary variables, introducing further nonlinearity to the system of equations. Here, they are written in weak form and solved by the finite element method using code implemented in the open source finite element library deal.II.…”

Section: Numerical Treatmentmentioning

confidence: 99%

Intercalation Driven Porosity Effects in Coupled Continuum Models for the Electrical, Chemical, Thermal and Mechanical Response of Battery Electrode Materials

Wang

Siegel

Garikipati

2017

J. Electrochem. Soc.

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We present a coupled continuum formulation for the electrostatic, chemical, thermal and mechanical processes in battery materials. Our treatment applies on the macroscopic scale, at which electrodes can be modelled as porous materials made up of active particles held together by binders and perfused by the electrolyte. Starting with the description common to the field, in terms of reaction-transport partial differential equations for ions, variants of the classical Poisson equation for electrostatics, and the heat equation, we add mechanics to the problem. Our main contribution is to model the evolution of porosity as a consequence of strains induced by intercalation, thermal expansion and mechanical stresses. Recognizing the potential for large local deformations, we have settled on the finite strain framework. We present a detailed computational study of the influence of the dynamically evolving porosity, upon ion distribution, electrostatic potential fields, charge-discharge cycles and mechanical force generated in the cell.

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Numerical study on thermal behavior and a liquid cooling strategy for lithium‐ion battery

Peng

2020

Int J Energy Res

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Numerical study on lithium titanate battery thermal response under adiabatic condition

Cited by 34 publications

References 24 publications

On Veracity of Macroscopic Lithium-Ion Battery Models

On Veracity of Macroscopic Lithium-Ion Battery Models

Intercalation Driven Porosity Effects in Coupled Continuum Models for the Electrical, Chemical, Thermal and Mechanical Response of Battery Electrode Materials

Numerical study on thermal behavior and a liquid cooling strategy for lithium‐ion battery

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