HOMEWORK – 2 Due June 25, 2020 before 7:00PM
1.
Design an optimized battery pack for a vehicle with 250 mile range and it
requires
200 Wh/mile. The vehicle is designed to have 0 – 60 mile/hour speed in less than
10 second.
The required maximum power output is 200kW, and maximum voltage out put
from the battery pack is 200V.
Battery Specification:
The battery chemistry is based on Silicon (Si) anode and lithium-rich mixed oxide
cathode (Li[Ni1/3Mn1/3Co1/3]O2).
“Si // 4Li[Ni1/3Mn1/3Co1/3]O2”.
 The single cell nominal voltage is 4.0 V.
2
 The maximum current density allowed from electrodes is 10 mA/cm .
 The ratio of active material to non-active material is 75%.
a. Calculate the specific energy density (Wh/kg) for the battery.
b. Design building block cell with 10 Ah capacity with its components (calculate
amount of anode and cathode).
c. Design battery pack to meet the vehicle requirements (voltage and energy).
d. Provide Bill of Materials (BOM) for the battery pack, search (materials prices)
and estimate battery pack cost.
2- Estimating future usage of lithium resources:
a) Find the required amount of Lithium for a Tesla vehicle with battery pack at
70kWh. Assume C6 / Li[Ni1/3Co1/3Mn1/3]O2 cells with 3.75V cell nominal voltage
are used to construct the battery pack.
Hint: you are calculating only for amount of Lithium in kg.
b) Calculate the global annual usage of lithium. Assume 30% of vehicles on the
road to be changed to electric vehicle (similar to the above Tesla vehicle). There
are currently 1.2 billion cars on the road. Assume life of each Tesla vehicle to be
10-years.
C) Explore (literature search) the abundance of lithium on the earth crust and
possibility of lithium shortage in the future. What solution do you recommend.
(part C is optional)