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

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
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

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