Question

A 60-Hz, 230-mile, three-phase overhead transmission line has a series impedance z = 0.6531<82.04⁰ Ohm/mi and a shunt admittance y=4.185 x 10-6 <90⁰ S/mi. The load at the receiving end is 125 MW at 0.95 lagging power factor and at 245 kV. Determine the voltage, current, real and reactive power at the sending end. ENRTECH 3PD3 Assignment 4 Due: Friday, March. 24, 2023 Submit your assignment electronically to the Dropbox on Avenue-to-Learn.

Answer 1

To determine the voltage, current, real, and reactive power at the sending end of the transmission line, we can use the concept of power flow and complex power.

Step-by-step explanation:

To determine the voltage, current, real, and reactive power at the sending end of the transmission line, we can use the concept of power flow and complex power.

The complex power at the receiving end is given by S = P + jQ, where P is the real power and Q is the reactive power. Given P = 125 MW and a power factor of 0.95 lagging, we can calculate Q using the formula Q = P * tan(arccos(power factor)).

Once we have the complex power at the receiving end, we can calculate the complex power at the sending end using the formula S_sending = S_receiving + I^2 * Z, where I is the current and Z is the series impedance of the transmission line.

From the complex power at the sending end, we can extract the voltage, current, real power, and reactive power at the sending end.