Project 2 Thermal modeling of battery pack
objective -
For a 10 cell series lithium ion battery model, simulate the thermal effects and compare life cycle performance at various temperatures, charge & discharge rates using MATLAB.
Overview:
Lithium ion battery are mostly used in electric vehicles we must know its charge and discharge rates to operate this batterys in efficient manner & with out damage when this batterys in operation this temperature of it must be kept in limit we simulate the thermal effect of this cell , by knowing the how much temp rise take place we can provide efficient cooling to the batterys so that the life cycle of the battery increases we will see a model on this issue below and explaination as follows ,cells connected in series and one of the cell is faulty so what will be thermal effect . This example shows how to simulate a battery pack consisting of multiple series-connected cells in an efficient manner. It also shows how a fault can be introduced into one of the cells to see the impact on battery performance and cell temperatures. For efficiency, identical series-connected cells are not just simply modeled by connecting cell models in series. Instead a single cell is used, and the terminal voltage scaled up by the number of cells. The fault is represented by changing the parameters for the Cell 10 Fault subsystem, reducing both capacity and open-circuit voltage, and increasing the resistance values.


circuit construction and working -
in this ckt we use li-ion cell 1 to 10 , temperature sensors ,ambient temp block , state of charge estimation scope, charge discharge profile given to ckt ,from & goto block block matlab simulink
Cell 01 to O9 Subsystem:

Cell subsystem basically consist of a Thermal Model and Lithium Cell 1RC block which calculate the temperature and thermal effect for cells and overall calculate for the battery pack.

This block basically consists of capacitance value © table which depends on an external physical signal inputs SOC and T. It is assumed that the capacitance value is slowly varying with time, and hence the equation i = C*dv/dt holds.
Resistance value (R) table which depends on an external physical signal inputs SOC and T.
Voltage value (EM) which implements the cell's main branch voltage source, and determines values for capacity (C) and state of charge (SOC). The
defining equations depend on cell temperature, T.
Temperature Source:

The Temperature Sensor block represents an ideal temperature sensor, that is, a device that determines the temperature differential measured between two points without drawing any heat.
Connections A and B are thermal conserving ports that connect to the two points where temperature is being monitored. Port T is a physical signal port that outputs the temperature differential value.
The block positive direction is from port A to port B. The measured temperature is determined as T = TA – TB.
This block represents an ideal energy source in a thermal network that can maintain a constant absolute temperature at the port regardless of the heat flow rate.
This block is used for ambient temperature which we can set and check results .
Convective Heat Transfer:

This block models heat transfer in a thermal network by convection due to fluid motion. The rate of heat transfer is proportional to the temperature difference, heat transfer coefficient, and surface area in contact with the fluid.
this used for 1-4 cells and 6-10 cell
- from and goto blocks
The Goto block passes its input to its corresponding From blocks. The input can be a real- or complex-valued signal or vector of any data type. From and Goto blocks allow you to pass a signal from one block to another without actually connecting them.
The From block accepts a signal from a corresponding Goto block, then passes it as output. The data type of the output is the same as that of the input from the Goto block. From and Goto blocks allow you to pass a signal from one block to another without actually connecting them.

Results for various source temperature 1RC cell
case-1:source temp. 300k,healthy cel temp is 330K, SOC-52.6% & faulty cell temp. is 350K,SOC-50%

case-2:source temp. 350k,healthy cel temp is 380K, SOC-52.6% & faulty cell temp. is 400K,SOC-50%

case-3:source temp. 400k,healthy cel temp is 429K, SOC-53% & faulty cell temp. is 450K,SOC-50%

result explanation.
For a 10 cell series lithium ion battery model we simulate the thermal effects and compare life cycle performance at various temperatures, charge & discharge rates using MATLAB. results are as follows
1-9 cells are normal cell 10 th cell is faulty as we are simulating thermal effect on we give Cyclic Charge/ Discharge Profile to circuit the waveform you can see above results all conditions it is same but when ckt is run on this drive cycle profile as 9th cell was faulty it will show temperature rise high than any other cell and the life cycle of cell get reduced and cell even can get damage.
| source Temperature(K) | 1-9 cell Temp(K),SOC | 10th cell(faulty) Temp(K),SOC |
| 300 | 330,0.526 | 350,0.5 |
| 350 | 380,0.526 | 400,0.5 |
| 400 | 429,0.53 | 450,0.5 |
conclusion -
we simulated the thermal effect &compared at various temperature ,faulty cell temp rise more than normal cell charge and discharge cycle given and due to temperature rise it can damage the cell and reduce the performance of the battery.