Problem 3: (1 Mark) The conductor configuration of a bundled single-phase overhead transmission line is shown in Figure l. Line X has its three conductors situated at the corners of an equilateral triangle with 10 cm spacing. Line Y has its three conductors arranged in a horizontal configuration with 10 cm spacing. All conductors are identical, solid-cylindrical conductors, each with a radius of 2 cm
Line X
Line Y
10 cm
10 cm10 cm
Figure 1. Conductor configuration of the single-phase transmission line
(a) Find the equivalent representation in terms of the geometric mean radius of each bundle and a separation that is the geometric mean distance. (b) Find the total inductance of the bundled single-phase overhead transmission line in mH/km. (c) Find the inductive reactances of both lines in per unit when each is 60 miles long, rated at 300 kV, 50 Hz, considering a system base of 100MVA.