Project 2
Q.1. Using MATLAB/simulink and the drive cycle from the attached excel sheet, find-
- The max heat generation of the battery
- 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
Solution:
Aim: To find
- The max heat generation of the battery
- The SOC of the battery at 2 *104second of the battery operation
using MATLAB/simulink and the drive cycle from the attached excel sheet
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 = Imax2*R*t
Imax = -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
Blocks used:
Li ion battery
Bus Selector
Powergui block
Controlled current source
Series RLC branch
Scope block
Display block
Simulink Model:
- 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%