Question

PLEASE DON'T THROW ANY RANDOM ANSWER PLEASE

The Fig. 1 shows a double-circuit three-phase 500-kV. 60 Hz, 300-km, on a steel tower completely transposed, symmetrical about both the horizontal and vertical center lines. The diameter of each conductor is 3.796298186 cm. The resistance of the transmission line is 2.84x10-4 Ω-m and the line is lossless. The receiving-end power is 800 MW at 0.8 power factor lagging and at 500 kV 14 m 14 m 14 m 14 m 1. Determine the RLC parameters of the line 2.Determine the ABCD transmission matrices of the following (a) (b) (c) The series RL circuit model of the whole line The nominal π circuit model of the whole line. The equivalent π circuit model of the whole line 3.Determine the sending-end phase voltage, sending-end line current, sending-end phase complex power, power factor, and the percent voltage regulation for: (a) The series RL circuit model of the whole line (b) The nominal π circuit model of the whole line. (c) The equivalent π circuit model of the whole line

Answer 1

RLC parameter of the line is - since Resistance of the transmission line has been given R = 2.84 times 10^-4 omega - m Inductance of this circuit is given by L = 0.5 ln (GMD)/(GMR) mH/km. (GMD) = (D_ab times D_bc times D_ac)^1/3 (D_ab) = (D_ab times D_ab^1 times Da^1b times Da^1b^1)1/4 - mutual Distance b/w phase A & phase B. (D ab) = [(14 squareroot 2) times (31.30) times (28) times (14)]^1/4 (D_ab) = 22.20m. similarly (D_bc) = [D_bc times D_bc^1 times D_b^1c times D_b^1c^1]^1/4 - mutual Distance b/w phase B & phase c. [14 times (31.30) times (28) times (14 squareroot 2)]^1/4 (D_bc) = 22.20 m similarly (D_ac) = [D_ac times D_ac^1 times D_a^1c times D_a^1c^1]^1/4 [14 times 14 times 14 times 14]^1/4 (D_ac) = 14 m so mutual GMD = (22.20 times 22.20 times 14)^1/3 19.03 meter self GMD = GMR GMR = [(self GMD)_a times (self GMD)_b times (self GMD)_c]^1/3 (self GMD)_a = [(self GMD)_a times d_aa^1)]^1/2