Project 2

(A) ANSWER

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 = (-0.896)^2 * 0.005 * 1.7 = 0.00682393J

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

Maximum heat generated = 0.000682393J+2=0.02047185J

(B) 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 a very improtent 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

The VT and CC has its own advantages ad disadvantages so to get accurate value we have to use the 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)

Or

Z(t) = Z(0) - 1/Cn ∫ Ni*i(t) dt with thw limits of 0 to t

where, Cn = Battery Nominal Capacity

Z(t) = State of charge

i(t) = Instantansous cell current

t = time

Ni = coulomb efficiency

Z(0) = initial state of charge

+ for discharging

- for charging

Due to Faid in the battery capacity over the time it shows error

Combination of VT and CC:

To avoid the calculation of SoC both the Voltage Translation Method (VT) and Coulamb counting method (CC) are used combinedly.

Simulation model:

for the simulation model following blocks are used

1. Battery - Implements a generic 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. 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, Bus Selector or a block that defines its output using a bus object. 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

Battery Parameter And SoC at 100% for 2*104 Sec

Model And Result:

Conclusion:

Initially the battery SoC is taken as 100% so it started and according to the current signal i.e., charge and discharge, if the charhing happens the battery SoC is increasing and when it is discharging SoC is decreasing.