Lag Compensator

DC MOTOR COMPENSATOR

ZAIN AHMED (F-3634) ISLAM NAQI (F-3616) FAISAL ASHRAF (F-3629) AFAQ SATTI (F-3335)

OBJECTIVE

To increase the Stability of DC motor and to decrease the settling time, we are using lag compensator.

FN38

Here we use the FN38 Series with encoded. Red is -VE. Blue is +VE. Grey is Ground. 3 Encoded Outputs and 1 Feedback Output.

VALUES FOR THE PHYSICAL PARAMETERS:

ELECTRO MECHANICAL SYSTEM

TRANSFER FUNCTION:

2))((

)()()(

)()()(

KRLsbJs

K

V

sKsVsIRLs

sKIsbJss

MATLAB CODE:

syms s

t=0.18/((2+8.7*s)*(0.0039*s+0.26)+(0.18^2))

[N,D]=numden(t)

n=sym2poly(N)

d=sym2poly(D)

step(n,d),figure(2)

rlocus(n,d),figure(3)

margin(n,d)

SETTLING TIME: 17 SEC,FINAL VALUE: 10 SEC,

ROOT LOCUS

BODE PLOT

LAG COMPENSATOR

SETTLING TIME: 0.126FINAL VALUE:0.99

ROOT LOCUS:

BODE PLOT:

RESULTS:

Phase margin was 93.3 degree and After Lag compensator it become 47.3 degree.

Settling time was 17secs and After Lag Compensator it become 0.126secs.