Transient analysis stability and surge protection Solution 2022

Electrical Engg.
Transient analysis stability and surge protection
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Solution 1 a) Synchronous Generator:
Equation describing motion of rotor angle and the generator frequency :
2 H dw/dt = J d2θ / dt2
. w = generator frequency
. θ = Rotor angle
H = inertia constant
J =Total moment of inertia
b) Critical Angle = 0 degree
Critical clearing time = 0.4 seconds
Solution 1) c)
a)
Matlab Code :
E = 1.5;
V = 1;

X = 10;
Pm = 0.6 ;
H = 9.94;
D = 0.16;
f0 = 50;
Pmax = E*V/X;
d0 = asin (Pm/Pmax);
Ps = Pmax * cos (d0);
wn = sqrt (pi*60/H*Ps);
z = D/2*sqrt(pi*60/(H*Ps));
wd = wn * sqrt (1-z^2);
fd = wd / (2*pi);
tau = wd/(2*pi);
th = acos (z);
Dd0 = 10*pi/180;
t = 0:0.01:3;
Dd = Dd0 / sqrt (1-z^2)* exp (-z * wn * t).* sin(wd*t);
d = (d0 + Dd) * 180/pi;
Dw = -wn*Dd0/sqrt(1-z^2)*exp(-z*wn*t).*sin(wd*t);
f = f0+Dw/(2*pi);
subplot (2,1,1);
plot(t,abs(d));
xlabel ('t(sec)');
ylabel('Dela(deg)');
subplot (2,1,2);

plot(t,abs(f));
xlabel ('t(sec)');
ylabel('Frequency(Hz)');
%% axis([0 3 59.85 60.1]);
Figure 1
Solution 1) c)