Plot torque developed power and line current versus rotor sp

Plot torque, developed power and line current versus rotor speed for a three-phase induction motor given a set of parameters. Test your model using the following values: R=550 mohm X;=2.10 ohmX_m=95ohm R_2 =960 m ohmX_2 =1.5 ohmR.ncgligablc (infinite) Produce a plot of torque, developed power and line current as a function of rotor speed. Based on your model, specify the following values in a table. Starting line current No-load line current Full-load line current Locked-rotor torque Pullout torque Rated torque Peak power Rated speed Slip at rated speed

Solution

r1 = 0.550; % Stator resistance
x1 = 2.10; % Stator reactance
r2 = 0.960; % Rotor resistance
x2 = 1.5; % Rotor reactance
xm = 95; % Magnetization branch reactance
v_phase = 600 / sqrt(3); % Phase voltage
n_sync = 1500; % Synchronous speed (r/min)120*f/p
w_sync = 1500*2*pi/60; % Synchronous speed (rad/s)

%Loooking in Impedance Method
v_th = v_phase * ( xm / sqrt(r1^2 + (x1 + xm)^2) );
z_th = ((j*xm) * (r1 + j*x1)) / (r1 + j*(x1 + xm));
r_th = real(z_th);
x_th = imag(z_th);

s = (-10000:1:20000) / 10000; % Slip
s(1) = -1;
nm = (1 - s) * n_sync; % Mechanical speed

% Calculate torque versus speed
for ii = 1:30001
t_ind(ii) = (3 * v_th^2 * r2 / s(ii)) / ...
(w_sync * ((r_th + r2/s(ii))^2 + (x_th + x2)^2) );

I_line(ii)=sqrt(3)*abs(v_th/(z_th+r2/s(ii)+x2));%rotor current
I_phase(ii)=I_line(ii)/sqrt(3);

P_dev(ii)=3*I_phase(ii)^2*r2*(1-s(ii))/s(ii);
end
% Plot the torque-speed curve

figure(1);
plot(nm,t_ind,\'k-\',\'LineWidth\',2.0);
hold on;
figure(2);
plot(nm,I_line,\'k-\',\'LineWidth\',2.0);
hold on;
figure(3);
plot(nm,P_dev,\'k-\',\'LineWidth\',2.0);
hold on;

xlabel(\'\\bf Speed in RPM\');
ylabel(\'\\bf Torque in N-m\');
title (\'\\bfInduction Motor Torque-Speed Characteristic\');
grid on;