Project - Speed Control of a Direct Current (DC) motor

Ans) A Simulink model for the DC motor is developed as per the schematic shown in Figure above.

With inputs like:

J=0.01; moment of inertia

B=0.1; motor viscous friction const

Km=0.01; Back enf const

Kt=0.01; motor torque const

Ra=1; Armature current

La=0.5; Armature inductance

For 230V

The PID controller is designed to control the speed of the motor as required

A=[-B/J Kt/J; -Km/La -Ra/La];

B2=[0;1/La];

fn=1;

wn=2*pi*fn;

zeta=0.5;

p1=(-zeta*wn)+wn*sqrt(zeta^2-1);

p2=(-zeta*wn)-wn*sqrt(zeta^2-1);

P=[p1;p2];

K=place(A,B2,P);

K2=acker(A,B2,P);

Kp=K(1);

Kd=K(2);

Ki=0;

1)

FOR SPPE 1000

Kp=38.3133;

Kd= -2.8584;

Ki=0;

1)

FOR :100

Kp=38;

Kd=7.06;

Ki=30;