n a simple 50 Hz power system a generator generates at its terminals 400 MW and

Question

n a simple 50 Hz power system a generator generates at its terminals 400 MW and transmits this power over a lossless transmission line of reactance 0.02 per unit on 400 MVA to an infinite bus. The transient reactance of the generator is 0.02 per unit and the inertia constant is 3 seconds per unit on 400 MVA. Assume the voltage magnitude of the infinite bus and at the terminals of the generator are both 1 per unit.

a) Using the Euler method of integration simulate this system in Excel or Matlab over a period of 1 second with the fault applied from the beginning and cleared after 0.1 seconds. Use a time step of 0.01 seconds in your simulation. Obtain plots of both machine angle in degrees and angular velocity

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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