Project 2

- Given - :

Battery Resistance (R) = 2mohm

- Assumption - :

The entropic heat = 2* Jule's heat

- To Find - :

Maximum heat generation in battery pack

- Solution - :

Given excel sheet data - :

- Entropic Heat - :

- The heat generation due to entropy change inside a battery occurs when electro chemical reaction are performed. the entropy heat is

reversible heat resulting from change in open circuit voltage with respect to temperature at two electrodes.

- To calculate maximum heat generation in battery pack - :

Maximum Curretnt of battery pack = -1.0304

Maximum heat generated = I^2*R*T

= (−1.03042)^2*2*120

= 254.81 mJuole

Total Heat generation in battery pack = Joule Heat + 2* Entropic Heat

= 254.81 + 2*254.81

= 764.44 m Joule

∴ The maximum Heat generation of battery pack is 764.44 mili Joule.

1.B The SOC of the battery at 2 *104second of the battery operation - :

- SOC ( State of charge ) it is defined as the how energy is usable for a certain application

SOC = Q / Qmax

where ,

Q = Available capacity

Q max= overall capacity

- Step :1 For simulation model the blocks are used - :

1. Generic Battery - Impliments a generic battery model for most popular battery types. Temperature & aging (due to cycling) effects can be

specified for lithium ion battery.

2. Controlled current source - Converts the Simulink input signal into an equivalent current source. The generated current is driven by the

input signal of the block.

3. Bus Selector - This block accepts a bus as input which can be created from a bus creator , Bus Selector or a block that defines its output

using a bus object.

4. Signal Builder Block - To use any type of signal till 208 stop time.

- In this case we used a given drive cycle of excel sheet - :

- Output of the signal builder block - :

5. scope - To plot the output graph.

6. Powergui - set simulation type , simulation parameters & preferences.

- Step :2 Simulink model - :

- Step :3 Output of SOC% using scope - :

- From above plot it is observed that the SOC of battery pack is 38.5 at 120 Seconds.

- Conclusion - :

- In this project we have calculated the generation of maximum heat is 254.81 mJuole.

- Also we have simulated the battery SOC for the given drive cycle.

- At 120 second, the battery SOC is around 38.5%.