Abstract— This paper presents experimental study whose
objective is to show the dynamic performance of a variable gain
PI controller (VGPI). Indeed, the PI, although very popular
and mainly used in industry, present overshoots in the tracking
trajectory mode. This major disadvantage can be eliminated by
maintaining the traditional PI structure and introducing the
variable proportional and integrator gains. The proposed
regulator is used as speed control organ in vector control to an
induction motor. The practical implementation is done on a
hardware experimental platform equipped with a dSpace-DSP
1104 with Matlab-Simulink-DSpace system and Control-Desk
software plugged in a standard personnel computer. The
various tests demonstrate the great ability of the controller to
remove the overshoots and also a precise trajectory tracking.
I. INTRODUCTION
The induction machine associated with a static converter
is a variable speed drive system whose industrial use is
increasing important. This interest was partly because of its
characteristics: low cost, easy maintenance and mechanical
robustness. The vector control theory is nowadays mature
and is usually applied in controlled drives systems with
induction machines where high dynamic speed or position
control performances are required [1].
In the classical structure of vector control by rotor flux
orientation, PI regulators are used for controlling the rotor
speed, rotor flux and the two-phase stator currents. These
organs are characterized by a simple design and easy tuning
of its parameters, which justifies its use in many applications
[2]. However, the PI controllers have problems to remove
the overshoots in the tracking trajectory mode and load
disturbance rejection at the same time.
This problem is had to the fact that the controller parameters
are constant, hence the idea of designing a variable gain
regulator to resolve this tradeoff. A (VGPI) controller is a
generalization of a classical PI controller where the
proportional and integrator gains vary along a tuning curve
[3]. Some authors have chosen to solve this problem with
modern approaches such as intelligent controllers based on
A. Mechernene is with Electrical and Electronic Department, University
Abou-Bekr Belkaïd, Tlemcen, Algeria, (corresponding author: e-mail:
mechernene_aek@hotmail.com).
L. Chrifi-Alaoui is with Laboratory of Innovative Technology,
University of Picardie Jules Verne, France, (e-mail: larbi.alaoui@u-
picardie.fr).
M. Zerikat and N. Benharir are with Electrical Engineering Department,
ENP of Oran, Algeria. (e-mails: mokhtar.zerikat@enset-oran.dz;
benharir@yahoo.fr).
H. Benderradji, Electrical and Engineering Department, University
Mohamed Boudiaf, M’sila, Algeria, (e-mail: H_benderradji@yahoo.fr).
Fuzzy Logic [4], [5] and Artificial Neural Networks [6], [7],
or with non-linear approaches such as Sliding Mode [8], or
Backstepping Control [9], ... But these solutions are complex
and not appreciated by the industrials. In this work, a
variable gain PI regulator is proposed to replace the
conventional PI regulator for controlling the speed of an
induction motor. In order to show the behavior and
performance of the proposed controller, some experimental
tests were performed in real time after implementing the
control algorithm on a testing platform equipped with a
hardware environment dSpace DSP-1104.
The paper is organized as follows: the dynamical model of
induction motor and the principle of direct field oriented
control are presented in section 2. In Section 3, the structure
of the VGPI controller and tuning of its parameters are
described. In section 4, experimental results are presented
and the obtained performance of the VGPI controllers PI and
conventional fixed-gain are discussed and compared. Finally,
in section 5, we give some comments and conclusions.
II. INDUCTION MOTOR MODEL
A. Dynamic model of Induction Motor in (d-q) reference
frame
The induction motor can be described by an equivalent
two-phase mathematical model established in an arbitrary
synchronously rotating reference frame (d-q) as [10]:
. . . . .
.
sd sd
sd s sq rd r rq
r s
di v K
i i K
dt T L
(1)
. . . . .
.
sq sq
s sd sq r rd rq
r s
di v
K
i i K
dt T L
(2)
1
. . .
rd m
sd rd s r rq
r r
d L
i
dt T T
(3)
1
. . .
rq
m
sq s r rd rq
r r
d
L
i
dt T T
(4)
, K, and T
r
are positive constants defined as:
2
2
.
. . . . .
s r m m
s s r s r
R RL L
K
L LL LL
2
=1-
.
m r
r
s r r
L L
T
LL R
VGPI Controller for High Performance Speed Tracking of
Induction Motor Drive
A. Mechernene, L. Chrifi Alaoui, M. Zerikat, N. Benharir and Hadda Benderradji
Proceedings of the 3rd International Conference on
Systems and Control, Algiers, Algeria,
October 29-31, 2013
WeAB.5
978-1-4799-0275-0/13/$31.00 ©2013 IEEE