Question

A generator is suppying a load through 1:100 step up transformer, a transmission line and a step down 100:1 transformer as shown in the fig below. The step up transformer and step down transformer has primary resistance of 0.2 ohm, primary leakage inductance of 0.2 mH, secondary resistance of 0.5 ohm and secondary leakage inductance of 0.5 mH. The transmission line has capacitance of 200 uF, resistance of 0.5 ohm and inductance of 20 mH. And the load has resistance of 2 ohm and capacitance of 100 uF. Use matlab simulink to model this system and use this model to find

1- The magnitude and angle of the voltages and currents at the generator and the load.
2- Voltage regulation of the system
3- Efficiency of the system
Generator
220V
50Hz
Step up
Transformer
1:100
Transmission Line
Step down
Transformer
100:1
Load
Rs
R
C/2
Lp Rp Rs Ls
mimm
RL $
CL

Answer 1

To model the system in MATLAB Simulink, follow a step-by-step process of breaking down the components and simulating their behavior.

In order to model the given system in MATLAB Simulink, you will need to break it down into its individual components and simulate their behavior. Here is a step-by-step process to model the system:

1. Create a Simulink model and add a sinusoidal voltage source representing the generator using the 'sine wave' block.
2. Add a step-up transformer using the 'transformer' block. Set the primary-to-secondary turns ratio to 1:100.
3. Connect the output of the step-up transformer to a transmission line. Use the 'RLC line' block to model the transmission line by providing the values of resistance, inductance, and capacitance mentioned in the question.
4. Add a step-down transformer using the 'transformer' block. Set the primary-to-secondary turns ratio to 100:1.
5. Connect the output of the step-down transformer to a load using the 'RLC load' block. Set the load resistance and capacitance values as mentioned in the question.
6. Run the simulation and observe the voltages and currents at the generator and the load.