Project 2

Solution:

a) The max heat generation of the battery

Battery Resistance = 0.5 milli Ohm

delat time = 0.1 sec

entropic factor = 2

Entropic heat = 2 * Joules heat

Heat generated = Joules heat + Entropic heat = Joule heat + 2*Joule Heat

Joules heat = I²*R*t

Max Joules heat = I_max²*R*t

I_max = -0.896 A

R = 0.5 milli Ohm

t = 1.7sec

Max Joules heat = (-0.896)²*0.5*10^-3*1.7 = 0.00068J

Max Heat generated = 2*Max Joule Heat

= 2*0.00068

Max Heat generated = 0.0014J

b) SOC calculation of the battery

Simulink Model:

Blocks used:

Li ion battery

Bus Selector

Powergui block

Controlled current source

Series RLC branch

Scope block

Display block

• Connections are made as shown in the above diagram
• The given drive cycle is imported to the signal generator block
• The initial SOC of the battery is set to 0%, resistance of series RLC branch is set to 0.5mOhm
• The simulation is run for 208sec and result (SOC, Current, Voltage) is obtained on the scope

Result Screenshot:

The simulation is run for 208sec, initial SOC of battery = 0%

Conculsion:

The simulation is run for 208sec. The SOC of the battery has increased from 0% to 1.007%