Project 2

Q.1....?

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

Ans-

heat generated = joules heat + entropy heat

joules heat from ohms law we know that ,

V=IR

when the current flowing through a resistance, there is a heat dissipated in the resistor. this heat dissipation is called joules heating.

joules heat = Ohomic Heat

power(P) =V*I=I^2*R

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

H=I^2*R*t

where,

P=power

V=voltage

I=current

R=resistance

H=heat

T=time

entropy heat:-

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

battery resistance = 0.5m ohm = 0.0005ohm.

1. a) Maximum heat generated = maximum joule heat + 2(maximum joule heat)

Imax = -0.896 A

tmax = 1.7 sec

Rint = 0.0005 ohm

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

maximum joule heat = (-0.948)^2 * 0.0005 * 2 = 0.0008851046J

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

Maximum heat generated = 0.000682393J+2.3=2.3008851046J

Q.1..?

(b)...?

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 a very important thing which teles about the battery status which helps in using the battery in a proper manner.

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

• Voltage Translation Method (VT)
• Coulamb counting method (CC)
• Combination of VT and CC

SOC = State of Charge is defines the how energy is usable for application.

SOC = Q / Qmax

where,

Q = Available capacity

Qmax = Overall capacity

for the simulation model following blocks are used

1. generic Battery - Implements a battery model for most popular battery types. Temperature 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.

You can initialize your circuit with a specific AC or DC current. If you want to start the simulation in steady-state, the block input must be connected to a signal starting as a sinusoidal or DC waveform corresponding to the initial values.

3. Bus Selector -This block accepts a bus as input which can be created from a Bus Creator, The left listbox shows the elements in the input bus. Use the Select button to select the output elements. The right listbox shows the selections. Use the Up, Down, or Remove button to reorder the selections. Check 'Output as virtual bus' to output a single bus.
4. Signal Builder Block -To use any type of signal till 208 stop time.
5. Scope- to Display the output graph
6. Powergui -Set simulation type, simulation parameters, and preferences

Result and Conclusion:

1. 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 2.3008851046J Jouls.