Project 2

1. The maximum heat generation of the battery 

There are 2 heat sources for the battery heat generation

1. Joules heat 
2. Entropy heat

Heat generated = Joules Heat + Entropy Heat

Joules Heat =i2Rt

froms ohms law we know that 

V = IR

when a current flowing through a resistance, there is a heat dissipated in the resistor. This heat dissipation is called Joule heating. Joule heating is also known as ohmic heating.

Power,

P = V*I = I*I*R = I^2*R 

Heat,

H = ∫P.dt with the limits of time 0 to t

H = I^2*R*t

Joule heat,

H = I^2*R*t

where. p = Power

           V = Voltage

            I = Current

           R = Resistance

           H = Heat

            t = Time

The heat Generated in the Reisitor is-

Directly praportion to the square of the current flowing through it

Directly praportion to the resistance

Directly praportion to the time for which the current flows through it.

Entropy Heat:

The heat generation due to entropy change inside a battery occurs when electro chemical reactions are performed. The entropy heat is reversible heat resulting from change in open circuit voltage with respect to temperature at two Electrodes.

Entropic heating Coefficient-

it is the rate of change of the battery's open circuit voltage with respect to the temperature.

it is a function of temperature and state- of-charge(SOC)

it is often expressed in V/K

Heat generated= joule heat+Entropy heat

Maximum Heat generated=Max joulue+2

                                    =Imax^2*R*maxTime+2

                                   =(-0.896)^2*2*2sec+2

                                     =3.21126+2

                                   =5.21126  JOULE

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

The SoC refers to the State of Charge of the battery, which is the capacity percent left in the battery which can be used. It   tells about the battery status 

The SoC can be measued in different ways. Some of them are listed below

1.Voltage Translation Method (VT)

2.Coulamb counting method (CC)

3.Combination of VT and CC

Voltage Translation Method (VT):

It is measued by Open Circut Voltge of the battery and compared it with the Data sheet of the battery and SoC is estimated. It cannot used while the battery is in operation.

Coulamb counting method (CC):

It is calculated by the formula 

SoC = total charge input / Max capacity of the battery 

Total charge input = charge current * time (H)

for the simulink model blocks are used 

1. Battery - Implements a battery model for most popular battery types. Temperature and aging (due to cycling) effects can be specified for Lithium-Ion battery type.
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. The left listbox shows the elements in the input bus.
4. Signal Builder Block -To use any type of signal till 208 stop time.
5. Scope- To Display the output graph6
6. Powergui -Set simulation type, simulation parameters, and preferences.

 

SOC GRAPH

SIGNAL BUILDER wave from

excel sheet

Result and Conclusion:

The max heat generation of the battery

The Max heat generated in which the current flowing in and out i.e., charge and discharge due to internal resistance and chemical reaction during charging and discharging of the battery the heat is generates of  5.21126 Jouls.