Final answer:
To calculate the sending end voltage for a 100-mile long three-phase 132kV transmission line using the nominal T line model, one must use the line parameters and the receiving end power to determine the line current and impedance, and apply complex power calculations to solve for the sending end voltage.
Step-by-step explanation:
To calculate the sending end voltage for a three-phase transmission line using the nominal T line model, we need to consider the line parameters and the power at the receiving end. Since the transmission line is 100 miles long with a resistance of 0.1Ω per mile per phase, inductance of 1.5 mH per mile per phase, and capacitance of 9 nF per mile per phase, we can determine the total impedance and admittance per phase. With these values in hand, we can calculate the sending end voltage by considering the voltage drop due to the impedance and the voltage rise due to the capacitance.
The total power at the receiving end is given as (90+j45) MVA. We can use this, along with the line parameters, to determine the current on the line and the impedance the current encounters. Through complex power calculations and the application of the nominal T model, we can solve for the sending end voltage.