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Li_battery_1d_for_thermal_models.fm
1 D L i t h i u m I o n B a t t e r y M o d e l f o r T h e r m a l M o d e l s
This model a model examples to create an average heat source in an active battery material domain. See the model documentation of these two examples.
The 1D model is very similar to the model. The only difference is the addition of negative current collector and a positive current collector domains so that the cell model consists of the following five domains:
• Negative current collector (Al, 7 μm)
• Negative porous electrode (LixC6, 55μm)
• Separator (Electrolyte 1:2 EC/DMC in LiPF6, 30 μm)
• Positive porous electrode (LiyMn2O4 , 55 μm)
• Positive current collector (Cu, 10 μm)
Model Library path: Batteries_and_Fuel_Cells_Module/Batteries/
M O D E L W I Z A R D
1 Go to the
Model Wizard window.
2 Click the
1D button.
3 Click
Next.
1 | 1 D L I T H I U M I O N B A T T E R Y M O D E L F O R T H E R M A L M O D E L S
4 In the
Add physics tree, select
Electrochemistry>Battery Interfaces>Lithium-Ion
Battery (liion).
5 Click
Add Selected.
6 Click
Finish.
G L O B A L D E F I N I T I O N S
1 In the
Model Builder window, right-click
Global Definitions and choose
Parameters.
2 In the
Parameters settings window, locate the
Parameters section.
3 Click
Load from File.
4 Browse to the model’s Model Library folder and double-click the file
G E O M E T R Y 1
1 In the
Model Builder window, under
Model 1 right-click
Geometry 1 and choose
Interval.
2 In the
Interval settings window, locate the
Interval section.
3 From the
Number of intervals list, choose
Many.
4 In the
Points edit field, type
0,L_neg_cc,L_neg_cc+L_neg,L_neg_cc+L_neg+L_sep,L_neg_cc+L_neg+L_s
ep+L_pos,L_neg_cc+L_neg+L_sep+L_pos+L_pos_cc.
5 Click the
Build All button.
6 Click the
Zoom Extents button on the Graphics toolbar.
D E F I N I T I O N S
1 In the
Model Builder window, under
Model 1 right-click
Definitions and choose
Selections>Explicit.
2 Select Domain 1 only.
3 Right-click
Model 1>Definitions>Explicit 1 and choose
Rename.
4 Go to the
Rename Explicit dialog box and type Negative CC in the
New name edit
5 Click
OK.
2 | 1 D L I T H I U M I O N B A T T E R Y M O D E L F O R T H E R M A L M O D E L S 2 0 1 2 C O M S O L
1 Right-click
Definitions and choose
Selections>Explicit.
2 Select Domain 2 only.
3 Right-click
Model 1>Definitions>Explicit 2 and choose
Rename.
4 Go to the
Rename Explicit dialog box and type Negative Electrode in the
New
name edit field.
5 Click
OK.
1 Right-click
Definitions and choose
Selections>Explicit.
2 Select Domain 3 only.
3 Right-click
Model 1>Definitions>Explicit 3 and choose
Rename.
4 Go to the
Rename Explicit dialog box and type Separator in the
New name edit field.
5 Click
OK.
1 Right-click
Definitions and choose
Selections>Explicit.
2 Select Domain 4 only.
3 Right-click
Model 1>Definitions>Explicit 4 and choose
Rename.
4 Go to the
Rename Explicit dialog box and type Positive Electrode in the
New
name edit field.
5 Click
OK.
1 Right-click
Definitions and choose
Selections>Explicit.
2 Select Domain 5 only.
3 Right-click
Model 1>Definitions>Explicit 5 and choose
Rename.
4 Go to the
Rename Explicit dialog box and type Positive CC in the
New name edit
5 Click
OK.
M A T E R I A L S
1 In the
Model Builder window, under
Model 1 right-click
Materials and choose
Open
Material Browser.
3 | 1 D L I T H I U M I O N B A T T E R Y M O D E L F O R T H E R M A L M O D E L S
2 In the
Material Browser window, locate the
Materials section.
3 In the tree, select
Built-In>Aluminum.
4 Right-click and choose
Add Material to Model from the menu.
1 In the
Model Builder window, under
Model 1>Materials click
Aluminum.
2 In the
Material settings window, locate the
Geometric Entity Selection section.
3 From the
Selection list, choose
Positive CC.
4 In the
Material Browser window, locate the
Materials section.
5 In the tree, select
Built-In>Copper.
6 Right-click and choose
Add Material to Model from the menu.
1 In the
Model Builder window, under
Model 1>Materials click
Copper.
2 In the
Material settings window, locate the
Geometric Entity Selection section.
3 From the
Selection list, choose
Negative CC.
4 In the
Material Browser window, locate the
Materials section.
5 In the tree, select
Batteries and Fuel Cells>LixC6 Electrode (Negative, Li-ion Battery).
6 Right-click and choose
Add Material to Model from the menu.
LixC6 Electrode (Negative, Li-ion Battery)
1 In the
Model Builder window, under
Model 1>Materials click
LixC6 Electrode (Negative,
Li-ion Battery).
2 In the
Material settings window, locate the
Geometric Entity Selection section.
3 From the
Selection list, choose
Negative Electrode.
4 In the
Material Browser window, locate the
Materials section.
5 In the tree, select
Batteries and Fuel Cells>1:1 EC:DEC / LiPF6 (Li-ion Battery).
6 Right-click and choose
Add Material to Model from the menu.
1:1 EC:DEC / LiPF6 (Li-ion Battery)
1 In the
Model Builder window, under
Model 1>Materials click
1:1 EC:DEC / LiPF6 (Li-ion
Battery).
2 In the
Material settings window, locate the
Geometric Entity Selection section.
3 From the
Selection list, choose
Separator.
4 In the
Material Browser window, locate the
Materials section.
4 | 1 D L I T H I U M I O N B A T T E R Y M O D E L F O R T H E R M A L M O D E L S 2 0 1 2 C O M S O L
5 In the tree, select
Batteries and Fuel Cells>LixMn2O4 Electrode (Positive, Li-ion
Battery).
6 Right-click and choose
Add Material to Model from the menu.
LixMn2O4 Electrode (Positive, Li-ion Battery)
1 In the
Model Builder window, under
Model 1>Materials click
LixMn2O4 Electrode
(Positive, Li-ion Battery).
2 In the
Material settings window, locate the
Geometric Entity Selection section.
3 From the
Selection list, choose
Positive Electrode.
L I T H I U M - I O N B A T T E R Y
1 In the
Model Builder window, under
Model 1 right-click
Lithium-Ion Battery and
choose
Electrode.
2 In the
Electrode settings window, locate the
Domain Selection section.
3 From the
Selection list, choose
Negative CC.
1 In the
Model Builder window, right-click
Lithium-Ion Battery and choose
Electrode.
2 In the
Electrode settings window, locate the
Domain Selection section.
3 From the
Selection list, choose
Positive CC.
1 Right-click
Lithium-Ion Battery and choose
Porous Electrode.
2 In the
Porous Electrode settings window, locate the
Domain Selection section.
3 From the
Selection list, choose
Negative Electrode.
4 Locate the
Model Inputs section. In the
T edit field, type T.
5 From the
c list, choose
Electrolyte salt concentration (liion/liion).
6 Locate the
Electrolyte Properties section. From the
Electrolyte material list, choose
1:1 EC:DEC / LiPF6 (Li-ion Battery).
7 Locate the
Particle Intercalation section. In the
cs,init edit field, type cs0_neg.
8 In the
rp edit field, type rp_neg.
9 Locate the
Volume Fractions section. In the ε
s edit field, type epss_neg.
10 In the εl edit field, type epsl_neg.
5 | 1 D L I T H I U M I O N B A T T E R Y M O D E L F O R T H E R M A L M O D E L S
11 Locate the
Effective Transport Parameter Correction section. From the
Electrolyte
conductivity list, choose
Bruggeman.
12 From the
Electrical conductivity list, choose
Bruggeman.
13 From the
Diffusion list, choose
Bruggeman.
1 In the
Model Builder window, expand the
Porous Electrode 1 node, then click
Porous
Electrode Reaction 1.
2 In the
Porous Electrode Reaction settings window, locate the
Model Inputs section.
3 In the
T edit field, type T.
4 From the
c list, choose
Insertion particle concentration, surface (liion/pce1).
5 Locate the
Equilibrium Potential section. From the
Eeq list, choose
From material.
6 Locate the
Electrode Kinetics section. In the
ka edit field, type k_neg.
7 In the
kc edit field, type k_neg.
Porous Matrix Double Layer Capacitance 1
1 In the
Model Builder window, under
Model 1>Lithium-Ion Battery right-click
Porous
Electrode 1 and choose
Porous Matrix Double Layer Capacitance.
2 In the
Porous Matrix Double Layer Capacitance settings window, locate the
Porous
Matrix Double Layer Capacitance section.
3 In the
av
,dl edit field, type 3*liion.epss/liion.rp.
1 In the
Model Builder window, right-click
Lithium-Ion Battery and choose
Porous
Electrode.
2 In the
Porous Electrode settings window, locate the
Domain Selection section.
3 From the
Selection list, choose
Positive Electrode.
4 Locate the
Model Inputs section. In the
T edit field, type T.
5 From the
c list, choose
Electrolyte salt concentration (liion/liion).
6 Locate the
Electrolyte Properties section. From the
Electrolyte material list, choose
1:1 EC:DEC / LiPF6 (Li-ion Battery).
7 Locate the
Particle Intercalation section. In the
cs,init edit field, type cs0_pos.
8 In the
rp edit field, type rp_pos.
9 Locate the
Volume Fractions section. In the ε
s edit field, type epss_pos.
10 In the εl edit field, type epsl_pos.
6 | 1 D L I T H I U M I O N B A T T E R Y M O D E L F O R T H E R M A L M O D E L S 2 0 1 2 C O M S O L
11 Locate the
Effective Transport Parameter Correction section. From the
Electrolyte
conductivity list, choose
Bruggeman.
12 From the
Electrical conductivity list, choose
Bruggeman.
13 From the
Diffusion list, choose
Bruggeman.
1 In the
Model Builder window, expand the
Porous Electrode 2 node, then click
Porous
Electrode Reaction 1.
2 In the
Porous Electrode Reaction settings window, locate the
Model Inputs section.
3 In the
T edit field, type T.
4 From the
c list, choose
Insertion particle concentration, surface (liion/liion).
5 Locate the
Equilibrium Potential section. From the
Eeq list, choose
From material.
6 Locate the
Electrode Kinetics section. In the
ka edit field, type k_pos.
7 In the
kc edit field, type k_pos.
Porous Matrix Double Layer Capacitance 1
1 In the
Model Builder window, under
Model 1>Lithium-Ion Battery right-click
Porous
Electrode 2 and choose
Porous Matrix Double Layer Capacitance.
2 In the
Porous Matrix Double Layer Capacitance settings window, locate the
Porous
Matrix Double Layer Capacitance section.
3 In the
av
,dl edit field, type 3*liion.epss/liion.rp.
1 In the
Model Builder window, under
Model 1>Lithium-Ion Battery click
Electrolyte 1.
2 In the
Electrolyte settings window, locate the
Model Inputs section.
3 In the
T edit field, type T.
1 In the
Model Builder window, right-click
Lithium-Ion Battery and choose
Electrode>Electric Ground.
2 Select Boundary 1 only.
1 Right-click
Lithium-Ion Battery and choose
Electrode>Electrode Current Density.
2 Select Boundary 6 only.
3 In the
Electrode Current Density settings window, locate the
Electrode Current Density
7 | 1 D L I T H I U M I O N B A T T E R Y M O D E L F O R T H E R M A L M O D E L S
4 In the
in,s edit field, type i_app.
1 Right-click
Lithium-Ion Battery and choose
Initial Values.
2 Select Domains 4 and 5 only.
3 In the
Initial Values settings window, locate the
Initial Values section.
4 In the phil edit field, type -0.1.
5 In the cl edit field, type cl_0.
6 In the phis edit field, type 3.6.
1 In the
Model Builder window, under
Model 1>Lithium-Ion Battery click
Initial Values 1.
2 In the
Initial Values settings window, locate the
Initial Values section.
3 In the phil edit field, type -0.1.
4 In the cl edit field, type cl_0.
G L O B A L D E F I N I T I O N S
1 In the
Model Builder window, right-click
Global Definitions and choose
Functions>Waveform.
2 In the
Waveform settings window, locate the
Parameters section.
3 From the
Type list, choose
Square.
4 In the
Angular frequency edit field, type 2*pi/cycle_time.
D E F I N I T I O N S
1 In the
Model Builder window, under
Model 1 right-click
Definitions and choose
Variables.
2 In the
Variables settings window, locate the
Variables section.
3 In the table, enter the following settings:
Expression
Description
8 | 1 D L I T H I U M I O N B A T T E R Y M O D E L F O R T H E R M A L M O D E L S 2 0 1 2 C O M S O L
4 In the
Model Builder window, right-click
Definitions and choose
Probes>Domain Point
5 In the
Domain Point Probe settings window, locate the
Point Selection section.
6 In row
Coordinate, set
x to L_batt.
7 Select the
Snap to closest point check box.
8 In the
Model Builder window, expand the
Model 1>Definitions>Domain Point Probe 1
node, then click
Point Probe Expression 1.
9 In the
Point Probe Expression settings window, locate the
Probe Settings section.
10 In the
Probe variable edit field, type CellVoltageProbe.
11 Click
Replace Expression in the upper-right corner of the
Expression section. From
the menu, choose
Lithium-Ion Battery>Electric potential (phis).
12 In the
Model Builder window, under
Model 1>Definitions right-click
Domain Point
Probe 1 and choose
Point Probe Expression.
13 In the
Point Probe Expression settings window, locate the
Probe Settings section.
14 In the
Probe variable edit field, type BatteryCurrentProbe.
15 Locate the
Expression section. In the
Expression edit field, type liion.Isx/i_1C.
Edge 1
In the
Model Builder window, under
Model 1 right-click
Mesh 1 and choose
Edge.
1 In the
Model Builder window, under
Model 1>Mesh 1 right-click
Edge 1 and choose
2 In the
Size settings window, locate the
Geometric Entity Selection section.
3 From the
Geometric entity level list, choose
Boundary.
4 Select Boundaries 3 and 4 only.
5 Locate the
Element Size section. Click the
Custom button.
6 Locate the
Element Size Parameters section. Select the
Maximum element size check
7 In the associated edit field, type 0.25e-6.
1 In the
Model Builder window, under
Model 1>Mesh 1 click
Size.
2 In the
Size settings window, locate the
Element Size section.
9 | 1 D L I T H I U M I O N B A T T E R Y M O D E L F O R T H E R M A L M O D E L S
3 Click the
Custom button.
4 Locate the
Element Size Parameters section. In the
Maximum element size edit field,
5 Click the
Build All button.
10 | 1 D L I T H I U M I O N B A T T E R Y M O D E L F O R T H E R M A L M O D E L S 2 0 1 2 C O M S O L
Source: http://static2.comsol.fr/model/download/154689/models.bfc.li_battery_1d_for_thermal_models.pdf
Clinical Science (2003) 105 , 663–669 (Printed in Great Britain) concentration of bioavailable 17- β oestradiol K. J. ELLIOTT∗, N. T. CABLE†, T. REILLY† and M. J. DIVER‡ ∗Department of Sport and Exercise Sciences, University of Brighton, Eastbourne BN20 7SP, U.K., †Research Institute for Sportand Exercise Sciences, Liverpool John Moores University, Liverpool L3 2ET, U.K., a
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