# Write a MATLAB script to plot a set of per-unit power-angle curves for a salient-pole synchronous generator connected to an infinite bus (Vbus = 1.0 per unit). The generator reactances are Xd = 1.27 per unit and Xq = 0.95 per unit. Assuming Eaf = 1.0 per unit, plot the following curves:

Write a MATLAB script to plot a set of per-unit power-angle curves for a salient-pole synchronous generator connected to an infinite bus (Vbus = 1.0 per unit). The generator reactances are Xd = 1.27 per unit and Xq = 0.95 per unit. Assuming Eaf = 1.0 per unit, plot the following curves:

a) Generator connected directly to the infinite bus.

b) Generator connected to the infinite bus through a reactance Xbus= 0.1 per unit.

c)  Generator connected directly to the infinite bus. Neglect saliency effects, setting Xq =Xd.

d) Generator connected to the infinite bus through a reactance Xbus = 0.1 per unit. Neglect saliency effects, setting Xq=Xd.

# (a)Matlab Code

delta=0:180;

XdT=1.27;

XqT=0.95;

Vbus=1.0;

Veq=Vbus;

Eaf=1.0;

Pa=(Eaf*Veq/XdT).*sind(delta)+Veq^2.*((XdT-XqT)/(2*XdT*XqT)).*sind(2*delta);

plot(delta,Pa);

xlabel('power angle (degrees)');

ylabel('power (per unit)');

Output

# (b) Matlab Code

delta=0:180;

Xd=1.27;

Xq=0.95;

Xbus=0.1;

XdT=Xd+Xbus;

XqT=Xq+Xbus;

Vbus=1.0;

Veq=Vbus;

Eaf=1.0;

Pa=(Eaf*Veq/XdT).*sind(delta)+Veq^2.*((XdT-XqT)/(2*XdT*XqT)).*sind(2*delta);

plot(delta,Pa);

xlabel('power angle (degrees)');

ylabel('power (per unit)');

Output

# (c) Matlab Code

delta=0:180;

XdT=1.27;

XqT= XdT;

Vbus=1.0;

Veq=Vbus;

Eaf=1.0;

Pa=(Eaf*Veq/XdT).*sind(delta)+Veq^2.*((XdT-XqT)/(2*XdT*XqT)).*sind(2*delta);

plot(delta,Pa);

xlabel('power angle (degrees)');

ylabel('power (per unit)');

Output

# (d) Matlab Code

delta=0:180;

Xd=1.27;

Xq=Xd;

Xbus=0.1;

XdT=Xd+Xbus;

XqT=Xq+Xbus;

Vbus=1.0;

Veq=Vbus;

Eaf=1.0;

Pa=(Eaf*Veq/XdT).*sind(delta)+Veq^2.*((XdT-XqT)/(2*XdT*XqT)).*sind(2*delta);

plot(delta,Pa);

xlabel('power angle (degrees)');

ylabel('power (per unit)');

Output

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