Week 8 Challenge

Aim: To crate a ultrcapacitor model in which the input will be given as power demand from the EMS and outputs are Ultracapacitor Voltage, Current and SOC.

The top level ultracapacitor model is

The ultracapcittor model consisting of the SOC and current calculation block as shown below. The current calculation block gives the UC current and open circuit voltage. The Calculated current is then fed into the SOC calculation block which calculates the SOC based on the amount of current drawn and pushed back into the UC.

SOC Calculation:

Where SOC(t) - SOC at time t

SOC(t-1) - SOC at time t-1

I - Current

n - coulomb efficiency

Q - Charge on UC.

The above equation is created inside the SOC subsystem

Charge(Q) Calculation:

where Vmax - maximum Voltage

C - Capacitance

Current Calculation:

where PUC - power demand from EMS

R - Lumper resistance

OCV Calculation:

Voltage Calculation:

The parameters used in the model is

The Scope results obtained are

from the results, on applying load from the EMS the current drawn from the Ultracapacitor increases.

Since we are discharging the UC, the SOC decreases with respective current drawn.

The voltage of the UC is also decreasing woth respective to current and SOC of the ultracapacitor.