Project 2

ANSWER : 

part(a)

There are 2 heat sources for the battery heat generation

1. Joules heat 
2. Entropy heat

Heat generated = Joules Heat + Entropy Heat

when a current flowing through a resistance, there is a heat dissipated in the resistor. This heat dissipation is called Joule heating. Joule heating is also known as ohmic heat 

Joule heat,

H = I^2*R*t

where.  I = Current

           R = Resistance

           H = Heat

            t = Time

Entropy Heat:

The heat generation due to entropy change inside a battery occurs when electro chemical reactions are performed. The entropy heat is reversible heat resulting from change in open circuit voltage with respect to temperature at two Electrodes.

Given data

Battery resistance = 0.5 mOhm = 0.0005 Ohm 

 Maximun current = -0.896 A

Max current time = 1.7 sec

Entropic factor = 2

Total heat generation = Jouleheat + Entropy heat

The maximum heat generation in the battery pack 

Max heat generation = Max Joule Heat + Entropy factor 

 Max Joule Heat = I^2 *R*t

Max Joule Heat = (-0.896)^2*1.7*0.0005

Max Joule Heat = 0.0006823936

 Max heat generation = 0.0006823936 + 2 = 2.0006823936 Jouls 

part :b

 

results:

 

conclusion : here as one can see soc of the battery comes out to be 100% while running for 208 sec it is happenedall current value is negative means regenerative braking has occurred which lead to charging  the battery instead of discharging.