A 138 kV, 200 MVA, 60 Hz, three-phase, power transmission line is 95 km long, an

Question

A 138 kV, 200 MVA, 60 Hz, three-phase, power transmission line is 95 km long, and has the following characteristics: 0.100 /km x = 0.525 /km y 3.2 x106 S/km Assume that the given transmission line is to supply a load at 0.85 PF lagging with no more than a 4.5% voltage drop and a torque angle 30°. Treat the line as Use Matlab and the simplified Power equation for transmission lines that we developed in class to: a) Plot the VR vs power and delta vs power curves (10%) line can supply without violating one of these constraints? (5%) c) Which constraint is violated first? (5%)

Explanation / Answer

Matlab Script:

function [r_eq,max_power]=r_series_max_power(R,P)
r_eq = sum(R);
Imax = max(sqrt(P./R));
max_power = (Imax^2)*r_eq;
end

command window output:

>> [r_eq_1,max_power_1] = r_series_max_power([10 10 10],[5 5 5])

r_eq_1 =

30

max_power_1 =

15.0000

>> [r_eq_2,max_power_2] = r_series_max_power([10 20 20],[5 4 3])

r_eq_2 =

50

max_power_2 =

25.0000

>>

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