Project 2

Objective:

Using MATLAB/Simulink and the drive cycle from the attached excel sheet, find

1. The max heat generation of the battery
2. The SOC of the battery at 2 *104second of the battery operation

Time	Time Step	Battery Current
00:00.4	0.1	-0.9632
00:00.5	0.2	-0.952
00:00.6	0.3	-0.9072
00:00.7	0.4	-0.9632
00:00.8	0.5	-1.0304
00:00.9	0.6	-0.9632
00:01.0	0.7	-1.0304
00:01.1	0.8	-1.008
00:01.2	0.9	-0.9856
00:01.3	1	-0.9632
00:01.4	1.1	-0.9184
00:01.5	1.2	-0.9296
00:01.6	1.3	-0.9296
00:01.7	1.4	-0.9296
00:01.8	1.5	-0.9184
00:01.9	1.6	-0.9408
00:02.0	1.7	-0.896
00:02.1	1.8	-0.9072
00:02.2	1.9	-0.9072
00:02.3	2	-0.9408
00:02.4	2.1	-0.9296
00:02.5	2.2	-0.9296
00:02.6	2.3	-0.9968
00:02.7	2.4	-0.9968
00:02.8	2.5	-0.9408
00:02.9	2.6	-0.9408
Battery resistance 2 milli ohm

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

Theory:

1. Maximum heat generation of the battery

Given data:

I_MAX = 1.0304

R₁ = 2×10^-3

t = 2.6

R₂ = 0.5×10^-3

Δt = 0.1

Entropic Heat Factor = 2

To find:

Maximum_JH = ?

Entropic heat = ?

Max_Heat = ?

Formula:

Maximum_JH = I_MAX² × R₁×t

Entropic heat = R x Δt x EHF

Max_Heat = Max_JH + Entropic heat

Solution:

Maximum_JH = I_MAX² × R₁×2.6

= (1.0304)² ×2×10^-3×2.6

Maximum_JH = 5.5209×10^-3

Entropic heat = (Resistance) x (Delta Time) x (Entropic Heat Factor)

= 0.5×10^-3 ×0.1×2

Entropic heat = 1×10^-4

Max_Heat = Max_JH + Entropic heat

= 5.5209×10^-3+ 1×10^-4

Max_Heat = 5.6209×10^-3

Hence, the maximum heat generation of the battery pack is 5.6209×10^-3

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

Total run time = 2*104 = 208 sec

Parameters:

• Battery
• Controlled Current Source
• Bus Selector
• Scope
• Signal Builder Block
• Powergiu

Steps:

• Take the battery.
• Connect the battery to the scope using Bus.
• Connect the +ve of battery to -ve current source and vice versa (Discharging)
• Connect signal builder to current source
• Import the data in the signal builder
• At last use Powegui block for smooth operation
• Run the model for 208 seconds(Given condition)

Simulink Model:

Results:

Model file link:

https://drive.google.com/file/d/11uhG6Oca1XvIgQK5LlLmVUVeJZMWO4na/view?usp=share_link