A threephase 60 Hz 2250 HP 4 pole 2300 V induction motor has
A three-phase, 60 Hz, 2250 HP, 4 pole, 2300 V induction motor has the following equivalent circuit parameters:
R1 = 0.029 ohm
X1 = X2 = 0.226 ohm
R2 = 0.022 ohm
Xm = 13.04 ohm
Using a spreadsheet or MATLAB, plot the developed torque and line current magnitude versus speed for the following operating voltages:
a) Rated voltage
b) 75% rated voltage
Solution
clc;
clear all;
R1=0.029;
X1=0.226;
X2=X1;
R2=0.022;
Xm=13.04;
f=60;p=4;
ns=(120*f)/p;
V=2300;
v=[1 0.75];
k=1;%% turn ratio=1 (not given)
step=0.01;
n=1/step;
for i=1:2
s=0.01;
for u=1:n
Vs=v(i)*V;
Z=((Xm*i)*((R2/s)+X2*i))/((Xm*i)+((R2/s)+X2*i))
Iss=Vs/Z;
Is1=abs(Iss)
T1=((Is1)^2)*(90/(pi*ns))*(R2/s);
T(u)=T1;
Is(u)=Is1;
nr(u)=ns*(1-s);
s=s+step;
end
end
plot(nr,T)
ylabel(\'Torque in N-m\')
xlabel(\'Nr in r.p.m\')
pause
plot(Is,T)
ylabel(\'Line current in amp\')
xlabel(\'Nr in r.p.m\')
pause

