Project 2

Consider the battery resistance is 0.5 mOhm, delta time is 0.1 and entropic factor is 2:-

Calculation:-

Heat generated = Joules heat + Entropy heat

From ohms law we know that 

V=IR

Power

P=V*I=I^2*R

Heat

H=I^2*R*t

where,

P=power 

V=voltage

I=current

R=resistance

H=heat

T=time

Batterry resistance = 0.5m ohm = 0.0005ohm.

 Maximum heat generated = maximum joule heat + 2(maximum joule heat)

Imax = -0.896 A

tmax = 1.7 sec

R = 0.0005 ohm

maximum joule heat = (Imax)^2 * R * tmax

P = (-1.008)2*0.5*0.8

   =0.46 J

Now we use the above formuela

Joule heat + Entropy heat

0.406 + 2                      

=2.406 J

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

Simulink Model:

The following blocks are used for the simulation model:

Generic Battery: Uses a generic battery model for the most common types of batteries. For each type of Lithium-Ion battery, the effects of temperature and ageing (caused by cycling) can be set.
Controlled current source: Turns the Simulink input signal into a current source with the same value. The signal coming into the block is what makes the current flow.

Controlled current source: If you want the simulation to start in a steady state, you must connect the block input to a signal that starts as a sinusoidal or DC waveform that matches the initial values.

Bus Selector: This block can get a bus from a Bus Creator, a Bus Selector, or a block that uses a bus object to define its output. The items on the input bus are shown in the left listbox. To choose the output elements, click the Select button. The choices are shown in the box on the right. To change the order of the choices, click the Up, Down, or Remove button. If you check "Output as virtual bus," only one bus will be sent out.

Signal Builder Block - To use any kind of signal until  stop time.

Scope: to show the graph of the output

Powergui - Set the type of simulation, its parameters, and your preferences.

Output:-

• This current cycle is given as the input to the model through the drive cycle input block i.e excel file wich is given in the question 
• Here the drive cycle stop time is 2*104 i.e 208sec
• so the simulation run time is 208sec
• Here the output of the drive cycle is given to the current controlled source which is connected to the battery as a load
• so here the battery is dicharged accroding to this siginal given by the data which is excel data input drive cycle data
• Here the power gui block is rquired for any simulation of the simulink model
• It mainly used to store the equivalent simulink circuit which represents the state space model 
• The ouput of a battery is given to the scope through the bus selector the bus selector outputs the battery siginals to the scope.

Result:-

The above graph gives the results of SOC voltage and current 

Here we operated the soc of battery at 2*104 

THE SOC OF THE BATTERY AT 208 SEC IS 99.5%.

Conclusion:-

Thus maximum heat produced by the battery is 2.406 J by mathematical calculation .

and soc at 208 seconds is 99.5% using simulink.