International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395 -0056
Volume: 03 Issue: 06 | June-2016 www.irjet.net p-ISSN: 2395-0072
© 2016, IRJET | Impact Factor value: 4.45 | ISO 9001:2008 Certified Journal | Page 1482
MODELLING OF INDUCTION MOTOR AND ITS PERFORMANCE WITH
PI,PID(NZ METHOD),PI(ZP) , FUZZY AND GENERALISED PREDICTIVE
CONTROL
1.
S.NAVEEN,
2.
N.PREMA KUMAR
1
PG Student,Dept.Electrical Engg,A.U. College of Engineering(A),Visakhapatnam,A.P,sadasivunin741@gmail.com.
2
Professor,Dept. Electrical Engg.A.U. College of Engineering(A),Visakhapatnam,A.P,prem_navuri@yahoo.co.in
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Abstract —Induction motor is robust system which
runs at their rated speed, however there are many
applications where variable speed operations are
required. Although range of speed control of induction
motor control techniques are available, here a system
of fuzzy logic controller and conventional PI
controllers is made.The performance of the system is
improved by using these controllers. The model
includes the transfer function of an induction motor
(with certain parameters taken), mathematically
modelled PI,PID(zn),PI(pz) controller, fuzzy logic
controller and Generalised predictive controller
which were coded in MATLAB editor. Simulation was
done using MATLAB Simulink software
Key Words: Transfer function of Induction Motor; Fuzzy
logic controller; PI controller, Generalised predictive
controller, Pole zero placement method
1. INTRODUCTION
In induction motor synchronous speed depends
upon frequency and poles of machine. An induction
motor always run at a speed less than synchronous
speed because the rotating magnetic field produced
in the stator will generate flux in the rotor which
helps the rotor to rotate, but due to lagging of flux,
current in the rotor with flux current in the stator,
the rotor will never reach speed of rotating magnetic
field speed,synchronous speed .Induction motors
generally run at a rated speed so their control
techniques are necessary for many industrial
applications.[3]
Theseare three phase machines where the
speed of the stator revolving flux (
ݏ
) is given by
ݏ
=
120
where fis the frequency in Hz and P is number of
poles. The following figure
shows the per-phase equivalent circuit of an
induction motor regarding stator side.
where,
r1 = resistance of Stator
X1 = Stator leakage reactance
I1 = Stator current
Rc = Shunt branch resistance
Xm = Magnetizing reactance
Ie = Per-phase no-load current
I2 = Rotor current
I2
’
= Rotor Current per phase referred to stator
X2
’
=Standstill rotor reactance referred to stator
r2
’
= rotor resistance referred to stator
V1 = Stator voltage
E1 = Stator induced emf
s = slip
Figure 1:Per-phase equivalent circuit referred to
Stator side[3]
The electrical equation of machine is
= ܫ
+ ܬ
ݏ
ܫ
+ ܧ
ܧ
∝
ݐ
Electrical torque is given by
=
ܧܭ
2
2
+
2
Mechanical torque is given by
= ܬӪ + ө