Determining the Motor torque and Load torque equilibrium points with the help of motor and load torques equations in MATLAB.

PS3. A drive has the following equations for motor and load torques:

Tm=(1+2ωm) ------------------ Motor torque equ.

Tl= 3 √ωm ---------------------- Load torque equ.

Obtain the equilibrium points and determine the stability.

Solution:

%PS3. A drive has the following equations for motor and load torques:
%              Tm=(1+2ωm)
%             Tl= 3 √ωm
%  Obtain the equilibrium points and determine the stability.

clear
close all
clc

w = linspace(0,1.9);

Tm = 1+(2*w);
Tl = 3*sqrt(w);

% Speed v/s Motor Torque graph
plot(w,Tm,'black')

title('The equilibrium points and determine the stability')

xlabel('w (rad/s)')
ylabel('Torque (N-m)')

hold on

% Speed v/s Load Torque graph
plot(w,Tl,'red')

legend('Motor torque','Load torque')

grid on

Result: