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研究生: 可莫蘇
Sonu Kumar
論文名稱: 鋰離子電池的數學模型
Mathematical Modelling of Lithium Ion Battery
指導教授: 許文東
Hsu, Wen-Dung
學位類別: 碩士
Master
系所名稱: 工學院 - 材料科學及工程學系
Department of Materials Science and Engineering
論文出版年: 2023
畢業學年度: 111
語文別: 英文
論文頁數: 103
外文關鍵詞: Lithium-ion battery, Capacity loss, Solid Electrolyte Interface
相關次數: 點閱:254下載:110
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  • This thesis attempts to create a mathematical model of a 3D pouch cell based on solvent diffusion and kinetics to simulates loss of capacity while charging and discharging process in a lithium-ion battery. Interface at the solid electrolyte (SEI), which is the main cause of capacity fade, and continuous solvent reduction and lithium de-intercalation at the electrode/electrolyte interface are used in the model to calculate loss of capacity. Molecular masses and density are used in a sensitivity analysis to estimate the thickness of SEI deposit, which is a problem measuring experimentally. On the carbon electrode, the cycle time was used to calculate the open circuit potential, capacity loss, film thickness and film resistance.

    In this model, the charge transfer rate is based on experimental data that depends on the overpotential, as opposed to current simulation research that employs 0.5 as the charge transfer coefficient's constant value. Film development is observed to be significantly influenced by the rate constant of SEI generation at the anode. Reaction kinetics for different binders are investigated for capacity fade.

    Abstract i Acknowledgements ii Contents iv List of Tables vii List of Figures viii 1 Introduction 1 2 Lithium Ion battery and It’s Aging Process 5 2.1 Why Lithium ion battery has such huge market size? 5 2.2 Basic principals of Lithium ion battery 7 2.2.1 Cathode material :- Lithium Manganese Oxide (LiM n2O4) 9 2.3 Degradation of battery components 11 2.3.1 Anode active material 11 2.3.2 Solid Electrolyte Interphase 12 2.3.3 Energetics of SEI formation at Anode 15 2.3.4 Formation mechanism of SEI layer 16 2.3.5 Electrolyte composition’s effects on the development of SEI 18 2.3.6 Prospects for improving SEI properties 19 2.3.7 Formation of Lithium Plating 21 2.3.8 Mechanical Stress 22 2.3.9 Electrolyte 23 2.3.10 Calendar Aging and Cycle Aging 24 3 Methodology 25 3.1 General Mathematical model of Lithium-ion cells 25 3.1.1 Charge conservation in homogeneous solid 25 3.1.2 Mass conservation in solid 27 3.1.3 Electroneutrality in binary electrolytes 29 3.1.4 Current Density 30 3.1.5 Continuity Equation 30 3.1.6 Electrolyte mass balance Equation 31 3.1.7 Butler-Volmer Equation: Preliminaries 32 3.1.8 Butler-Volmer Equation: Description and general deduction 35 3.2 Numerical Modelling 38 3.2.1 Introduction to Finite Volume Method and Finite Element Method 40 3.2.2 Terminologies of Numerical Methods 41 3.2.3 Element Shapes 42 3.3 Model Set-up 51 3.3.1 Assumptions considered in the Model 55 3.3.2 Meshing 55 3.3.3 Basic equations operating in each section of Pouch cell 57 3.4 Model Validation 66 3.4.1 Poly vinylidene fluoride (PVDF) 67 3.4.2 Polyethylene glycol (PEG) 68 3.4.3 Poly ether sulfone (PES) 69 4 Results and Discussion 71 4.1 Calculation of Charge transfer coefficient 71 4.2 Calculation of Capacity fade, SEI thickness and Film resistance 72 4.2.1 Poly vinylidene fluoride (PVDF) as binder Material 73 4.2.2 Poly ether sulfone - Polyethylene glycol(PES-PEG 1:4) as binder material 77 4.2.3 Poly ether sulfone - Polyethylene glycol(PES-PEG 1:13) as binder material 83 4.3 Effect of temperature on Capacity fade and SEI 86 4.3.1 Capacity fade with Varying Temperature 86 4.3.2 SEI thickness with Varying Temperature 87 4.3.3 SEI resistance with Varying Temperature 88 5 Conclusions 89 References 91

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