cs_max_pos 49000[mol/m^3] "Maximum positive host capacity"
socminpos 0 "Delithiation limit, positive electrode"
sigmas_neg 100[S/m] Electric conductivity, negative electrode
sigmas_pos 100[S/m] Electric conductivity, positive electrode
eps_s_pos 0.6 "Electrode volume fraction in positive electrode"
eps_binder_pos 0.1*eps_s_pos "Binder (including conductive filler) volume fraction in negative electrode"
eps_l_pos 1-eps_s_pos-eps_binder_pos "Electrolyte volume fraction in negative electrode"
L_pos 70[um] "Positive electrode thickness"
r_pos 2[um] "Radius of positive electrode particles"
Q_excess 0.25 "Negative electrode excess host capacity"
eps_s_neg 0.6 "Electrode volume fraction in negative electrode"
eps_l_neg 1-eps_s_neg "Electrolyte volume fraction in positive electrode"
cs_max_neg 31507[mol/m^3] "Maximum negative host capacity"
L_neg Q_cell*Yhost_neg/(eps_s_neg*cs_max_neg*F_const) "Negative electrode thickness"
r_neg 2[um] "Radius of negative electrode particles"
Li_loss 0.05 "Initial lithium inventory loss during formation cycling"
L_sep 30[um] "Separator thickness"
eps_l_sep 0.5 "Electrolyte volume fraction in separator"
L_CC_pos 5[um] "Positive current collector thickness"
L_CC_neg 5[um] "Negative current collector thickness"
Vol_18650 (18[mm]/2)^2*pi*65[mm] "Battery volume"
Jelly_vol 0.95 "Relative jelly roll volume in battery"
L_batt L_CC_neg+L_CC_pos+L_neg+L_sep+L_neg "Battery cell thickness"
Q_cell L_pos*cs_max_pos*eps_s_pos*F_const*socwindowpos "Cell capacity"
A_cell Vol*Jelly_vol/L_batt "Battery cell area"
Q_batt (Q_cell*A_cell/3600[C]) "Battery capacity"
I_1C Q_cell/(3600[s]) "1C cell current density"
Q_batt_Ah I_1C*A_cell[1/A] "Battery capacity (in Ah)"
SOC_upper 0.75 "Upper SOC limit during cycling"
SOC_lower 0.25 "Lower SOC limit during cycling"
SOC_window SOC_upper-SOC_lower "SOC cycling window"
SpecifyTime 1 "Specify charging rate based on time (1=yes, 0= no)"
t_charge_set 20[min] "Charge time"
t_discharge_set 3[h] "Discharge time"
C_rate_charge_set 1 "Charging C rate"
C_rate_discharge_set 1 "Discharging C rate"
C_rate_charge "if(SpecifyTime, 3600[s]*SOC_window/t_charge_set, C_rate_charge_set)" "Charging C rate"
C_rate_discharge "if(SpecifyTime, 3600[s]*SOC_window/t_discharge_set, C_rate_discharge_set)" "Discharging C rate"
t_charge "if(SpecifyTime, (t_charge_set), 3600*SOC_window/C_rate_charge_set)" "Charge time"
t_discharge "if(SpecifyTime, t_discharge_set, 3600*SOC_window/C_rate_discharge_set)" "Discharge time"
cs_pos_init cs_max_pos*(socminpos+(1-SOC_lower)*(socwindowpos)) "Initial positive solid lithium concentration"
cs_neg_init cs_max_neg*(socminneg+SOC_lower*(socwindowneg)) "Initial negative solid lithium concentration"
i_app_charge I_1C*C_rate_charge "Applied cell current density, charging"
i_app_discharge -I_1C*C_rate_discharge "Applied cell current density, discharging"
Q_cycle Q_batt*SOC_window "Capacity thruput per cycle"
Max_cell_voltage 4.5[V] "Maximum operational cell voltage"
Min_cell_voltage 2.0[V] "Minimum operational cell voltage"
T0 20[degC] "Ambient temperature"
A_batt_18650 (18[mm]/2)^2*pi*2+18[mm]*pi*65[mm] "Battery area, exposed for cooling"
k_batt 10[W/m^2/K] "Heat transfer coefficient"
Cp_batt 1400[J/kg/K] "Battery average heat capacity"
rho_batt 2000[kg/m^3] "Battery average density"
Vmax 4.5[V] "Maximum voltage"
Vmin 2.1[V] "Minimum voltage"
A_batt_21700 (21[mm]/2)^2*pi*2+21[mm]*pi*70[mm] "Battery area, exposed for cooling"
d_batt 18[mm] "Diameter of battery"
L_man 65[mm] "Mandrel Length"
A_batt "if(batt_cylindrical, (d_batt/2)^2*pi*2+d_batt*pi*L_man, 2*(L_p_man*W_man))" "Battery area, exposed for cooling"
Vol_21700 (21[mm]/2)^2*pi*70[mm] "Battery volume"
Vol if(batt_cylindrical,(d_batt/2)^2*pi*L_man,vol_prism) "Battery volume"
batt_cylindrical 1 "Spherical battery"
vol_prism L_p_man*W_man*depth_man ""
W_man 50[mm] "Width of mandrel"
depth_man 5[mm] "Depth of mandrel"
L_p_man 65[mm] "Length of mandrel - prismatic"
Q_vol cs_max_pos*(1-socminpos)*F_const "Volumetric capacity of positive electrode material"
Q_vol_Ah Q_vol/3600[C] "Volumetric capacity of positive electrode material in Ah"
L_neg_um L_neg*1e6 ""
t_tot t_charge+t_discharge "Total time for each cycle"
Yhost_neg (1+Q_excess)/(1-socminneg) "Amount of negative host material in relation to cell capacity"
socminneg 0.025 "Lithiation level in negative electrode at 100% cell SOC"
socwindowneg 1/Yhost_neg "Lithiation level change in negative electrode between 0 and 100% cell SOC"
Yhost_pos (1+Yhost_neg*(Li_loss+socminneg))/(1-socminpos) "Amount of positive host material in relation to cell capacity"
socwindowpos 1/Yhost_pos "Lithiation level change in positive electrode between 100 and 0% cell SOC"