- Sending end power factor
- Transmission line efficiency
- Voltage regulation of the transmission line
You should submit the m-file which should be compatible with version MATLAB 2018 and above. The submitted file should be pdf file, with your first name followed by your ID number (like for example Basem397888). The file should include the script of your code and the results obtained using the designed MATLAB code to solve the following problems for purpose of verification.
1. A 275-kV, 50 Hz, three-phase transmission line is 70 km long. The resistance per phase is 0.035 Ω/km and the inductance per phase is 0.85 mH/km. The shunt capacitance is 0.00112 pF/km. The line is supplying a three-phase load of 300 MVA at 0.85 pf lagging at 275 kV. Use the implemented MATLAB code to find the following.
a) Voltage at the sending end.
b) Power at the sending end.
c) Percentage of voltage regulation.
d) Percentage of efficiency.
2. A 345 kV, three-phase transmission line is 130 km long. The resistance per phase is 0.036 Ω per km and the inductance per phase is 0.8 mH per km. The shunt capacitance is 0.0112 µF per km. The receiving end load is 270 MVA with 0.8 power factor lagging at 325 kV. Use your MATLAB code to find the voltage and power at the sending end and the voltage regulation.
3. A 500 kV, 60 Hz, three-phase 400 km transmission line delivers 900 MW of power at 0.8 lagging power factor. The line has the following parameters:
r=0.0125 Ω/km , L=0.35 mH/km, C=0.0050 µF/km , G=0
Find the sending end voltage, sending end current and the transmission efficiency using your designed MATLAB code.