Week 8 Challenge

Aim :- Create a model of Ultracapacitor using Simulink.

Objective :- Create UC model using simulink and load the parameters using matlab workspace.

Simulation stop time will be 598sec.

The model output should be the Current,SOC and Voltage

Theory :-

What is UC's??

Supercapacitor (Ultracapacitor) is a specifically designed capacitor capable of storing enormous amount of electrical charge. Supercapacitors offer operational voltages that range between 1V and 3V for both aqueous and organic electrolytes. It also promises great potential for rapid charging and energy storage.

To create the UC model we divide the all equations in two parts.

First part is State of Charge of the UC.

Second part is Current which consist of UC curent calculation,UC Open circuit voltage calculation and Charge on UC calculation.

SOC calculation of UC,

Equation which gives SOC of UC,

`SOC = int (I*eta)/Q dt`

Where,

`eta` = Coulomb efficiency

`Q` = Electric quantity

`I` = Current

In this equation we need two inputs,UC current and Charge Q.These two inputs we will get from the another part of the model. Output of the this equation will be SOC.

Current calculation of UC,

1),UC Current Cal Eq,

`I = (SOC*Vmax-sqrt(SOC*Vmax^2-4*R*PUC*eta))/(2*R)`

Where,

`R` = Lumped Resistance

`eta` = Efficiency during charge and discharge cycle

2),UC OCV Cal Eq,

`OCV = int(I/C) dt`

Where,

`C` = capacitance

3),UC Charge Cal Eq,

`Q = C*OCV`

Simulink Model using all the equation,

Here in the image as we can see,our model is divided into the two parts.

Inside SOC Subsystem,

Inside Current Subsystem,

Inside UC Current Subsystem,

Output of the Model,