International Journal of Trend in Scientific Research and Development (IJTSRD)
Volume 3 Issue 5, August 2019 Available Online: www.ijtsrd.com e-ISSN: 2456 – 6470
@ IJTSRD | Unique Paper ID – IJTSRD27903 | Volume – 3 | Issue – 5 | July - August 2019 Page 2250
Speed Control System of Induction Motor by using
Direct Torque Control Method used in Escalator
Soe Sandar Aung1, Thet Naing Htun2
1Professor, 2Associate Professor
1,2Department of Electrical Power Engineering, Technological University, Mandalay, Myanmar
How to cite this paper: Soe Sandar Aung|
Thet Naing Htun "Speed ControlSystemof
Induction Motor by using Direct Torque
Control Method used in Escalator"
Published in
International
Journal of Trend in
Scientific Research
and Development
(ijtsrd), ISSN: 2456-
6470, Volume-3 |
Issue-5, August
2019, pp.2250-2253,
https://doi.org/10.31142/ijtsrd27903
Copyright © 2019 by author(s) and
International Journal ofTrend inScientific
Research and Development Journal. This
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(http://creativecommons.org/licenses/by
/4.0)
ABSTRACT
Escalator is useful and act in the important part to carry passengers to the
targeted floors of building. Every escalator must be driven by its own motor
and this motor speed must be controled. To drive escalator with a constant
speed, direct torque control technique is used to drive three-phase squirrel-
cage induction motor. In this paper, the development of speed control system
for three-phase squirrel-cage induction motor using a direct torque control
method is presented and simulation for proposedsystem is done withthehelp
of MATLAB/SIMULINK.
KEYWORDS: Escalator, three-phase squirrel-cage inductionmotor, directtorque
control method
I. INTRODUCTION
In most large cities, land is scarce and very valuable. This has led to the
construction of tall building which occupy only a small area of land while
providing a lot of floor space where people can live or work. So, in these
buildings, the escalator become useful and essential to carry passengers to the
desired floors. Escalators are passenger transportation installations in view of
this, servicing should be carried out at sufficiently frequent intervals to match
up to the intensity of use. Escalators and moving walk ways are both usually
driven by electric motors connected to steps in the moving walk ways or
escalators via a belt or chain mechanism. Usually, escalators are involved in
about 3 to 8% of the overall electricity consumption of a building. The size of
escalator motor will depend on the load expected. The handrail is also usually
connected to the electric motor via chain or belt.
An escalator may have internal lights along the handrail and
at the top and button to accent the escalator. Induction
motor plays a very important role in both worlds,becauseof
low cost, reliable operation, robust operation and low
maintenance. There are two main types of induction motors
which are the wound rotorand squirrel-cagemotorandboth
of them are in widespread use. Squirrel-cage rotor winding
design is considered more reliable and cheaper to be made.
Direct Torque Controlled concepts were proposed by
Takashi and Noguchi in 1986. The idea of this method is
based on comparing the measured stator flux and torque
with the theoretically desired bands. The vector differences
control the subsequent switching sequence of the SVPWM
inverter voltage based on the switching logic table. That
however restricts the mains stator flux and torque to fall in
pre-established bands.
II. Operation Principle of Escalator
The core of an escalator is a pairs of chain, looped around
two pairs of gears. An electric motor turns the drive gear at
the top, which rotate the chain loops. A typical escalatoruses
a 100 hp motor to rotate the gears. The motor and chain
system are housed inside the truss, a metal structure
extending between two floors. Instead of moving a flat
surface, as in a conveyer belts, the chain loops move, the
steps always stay level At the top and bottom of the
escalator, the steps collapse on each other, creating a flat
platform. This makes it easier to get on and off the escalator.
In the diagram below, you can see how escalator does all of
this. Each step in the escalator has two sets of wheels, which
roll along two separate tracks. The upper set (the wheels
near the top of the step) are connectedtotherotatingchains,
and so are pulled by the drive gear at the top oftheescalator.
The other set of wheels simply glides along its track,
following behind the first set.[1]
Figure.1 Operation of Escalator
III. Mathematical Model of Induction Motor
The equivalent circuit model of three-phase AC machines is
shown in figure 2 where the three phases of the stator and
IJTSRD27903
International Journal of Trend in Scientific Research and Development (IJTSRD) @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID – IJTSRD27903 | Volume – 3 | Issue – 5 | July - August 2019 Page 2251
the rotor are both modeled by inductive components and
appropriate AC voltage sources.Thestatorthreephaseinput
voltages, from the artificial V mains, are given in Equation 1
to Equation 3 as well as the induced rotor three phase
voltages which are given in Equation 4 to Equation 6.[2]
Figure.2 Equivalent Circuit Model of Three-phase AC
Machine
The stator of induction motor consists of three phase
balanced distributed winding with each phase separated
from the other two winding by 120 degrees in space. When
current flows through these windings, three phase rotating
magnetic field is produced. The dynamic behavior of the
induction motor is taken into account in an adjustablespeed
drive system using a power electronic converter. This
machine constitutes an element with in a feedback loop.
Study of dynamic performance of machine is complexdue to
the coupling effect of the stator and rotor windings; also the
coupling coefficient varies with the rotor position.Soaset of
differential equations with time varying coefficients
described the machine model.
The electromagnetic torque of the machine can be written
as:
Where P is the number of pole and Te is the electromagnetic
torque TL is load torque, J is the inertia of the rotor and
connected load B is the friction.
IV. Propose Control System of Induction Motor
Using Direct Torque Control Scheme
The conventional DTC scheme is a closed loop control
scheme, the important elements of the control structure
being: the power supply circuit, a three phasevoltagesource
inverter, the induction motor, the speed controller to
generate the torque command and the DTC controller. The
DTC controller again consists of torque and flux estimation
block, two hysteresis controllers and sector selection block,
the output of the DTC controller is the gating pulses for the
inverter.
The DTC scheme does notrequirecoordinatetransformation
as all the control procedures are carried out in stationary
frame of reference. So this scheme does not suffer from
parameter variations to the extent that other control
techniques do. Also there is no feedback currentcontrolloop
due to which the control actions do not suffer from the
delays inherent in the current controllers, no pulse width
modulator, no PI controllers and no rotor speed or position
sensor. So it is a sensorless control technique, which
operates the motor without requiring a shaft mounted
mechanical sensor. Here on-line torque and flux estimators
are used for closing the loop. Here the torque and stator flux
are controlled directly by using hysteresis comparators.[3]
The basic principle of DTC is to directly select stator voltage
vectors according to the torque and fluxerrors whicharethe
differences between the references of torque and stator flux
linkage and their actual values. The governing equation for
torque for this scheme is due to the interaction of stator and
rotor fields. Torque and stator flux linkage are computed
from measured motor terminal quantities i.e.statorvoltages
and current. An optimal voltage vector for the switching of
VSI is selected among the six nonzero voltage vectors and
two zero voltage vectors by the hysteresis control of stator
flux and torque. This method of control implies a
comparative control of the torque and stator flux. It is more
used in controlling induction machine because it is
considered a simple and robust method. The stator current
and voltage are indirectly controlled hence no current
feedback loops are required. Nearly sinusoidal stator fluxes
and stator currents enable high dynamic performanceseven
at standstill. The generic DTC scheme for a Voltage source
PWM inverter-fed IM drive is shown in figure 3.[4]
Figure.3 Block Diagram of Space Vector PWM DTC
Control
International Journal of Trend in Scientific Research and Development (IJTSRD) @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID – IJTSRD27903 | Volume – 3 | Issue – 5 | July - August 2019 Page 2252
V. Modeling of Speed Control System forSquirrel-
cage Induction Motor Using Direct Torque
Control
For the speed control system for squirrel-cage induction
motor, the modeling and simulation is carried out with
MATLAB/SIMULINK software. For the modeling 3.7kW,
400V squirrel-cage induction motor is used and parameters
are shown in table 1.
Table.1 Parameters of BLDC motor
Rated Power, kW 3.7
Rated Voltage, V 400
Rated Torque, Nm 41.76
Rated Speed, rpm 1450
Connection of stator winding Star
Type of rotor Cage rotor
Frequency, Hz 50
No. of pole 4
The simulink model for the speed control system for
squirrel-cage induction motor is shown in figure 4. . The
motor is fed from an IGBT PWM inverter.
In this drive, the speed is set at 750 rpm and the flux
reference is maintained at 0.8. At 0.6 sec the load torque
change from no-load to 3.48 Nm for one person load, at 1.8
sec the load torque change from 3.48 Nm to 17.4 Nm for five
persons, at 3 sec the load change from 17.4 to 41.76 Nm for
twelve persons, at 4.2 sec the torque change from 41.76 Nm
to 3.48 Nm for two persons and at 5.4 sec the load torque
change from 3.48 Nm to 0.
Figure4. Simulink model for the speed control system
for squirrel-cage induction motor
VI. Result
Figure 5 shows stator currents of induction machine with
sudden change in load torque of escalator. In this case it is
seen that, when the load on the motor is increasedthemotor
currents are increased and when the load on the motor is
decreased the motor currents are decreased. At maximum
load torque 41.76 Nm for twelve persons, the current is
reaching to the 22 A.
Figure5. Three-phase Currents Response of Direct
Torque Control
Figure 6 shows the resultant speed response of the machine
at different load torque. In figure 6, the speedreachingtothe
desired speed at 0.3 sec and at when escalator is loaded3.48
Nm (one person), the speed decreases to the 700 rpm and
return to the desired speed in 0.2 sec. When the load torque
is changed from 3.8 Nm to 17.4 Nm for five persons, the
speed decreases to the 650 rpm and return to the desired
speed in 0.3 sec. When the load torque is changed from 17.4
Nm to 41.76 Nm for twelve persons, the speed decreases till
410 rpm and return to the desired speedin0.4sec.Whenthe
load torque is changed from 41.76 Nm to 3.48 Nm for one
person, the speed increases till 1300 rpm and return to the
desired speed in 0.4 sec. When the load torque is changed
from 3.8 Nm to 0 for no load, the speed increases to the 800
rpm and return to the desired speed in 0.2 sec.
Figure6. Speed Response of Direct Torque Control
An increase and decrease of the load on the shaft of the
motor developing increase and decrease of electromagnetic
torque as indicating in figure.7. The torque in, which is
smoothly following the load torque and it reaches the
desired torque slower. As shown in figure 7, the actual
torque follows reference torque very fast when reference
load torque changes.
Figure7. Electromagnetic Torque of Direct Torque
Control
VII. Conclusion
This paper presents the speed control of squirrel-cage
induction motor using Direct Torque Control method with
Space Vector PWM was implemented using
MATLAB/SIMULINK. In Direct Torque Control system, a
closed loop speed control technique is used for the squirrel-
cage induction motor. InDTC scheme,thetorqueandcurrent
International Journal of Trend in Scientific Research and Development (IJTSRD) @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID – IJTSRD27903 | Volume – 3 | Issue – 5 | July - August 2019 Page 2253
ripple are minimized by employing space vectormodulation
technique and the torque response is fast and smooth reach
to the desired load torque.
References
[1]. Taninecz, G.: Schindler Escalator Corp, Industry Week,
(1996)
[2]. Ong, C. M.: Dynamic simulation of electric machinery:
using MATLAB/SIMULINK, vol. 5, Prentice Hall PTR
Upper Saddle River, NJ, (1998).
[3]. Chee-Mun, O.: DynamicSimulationof ElectricMachinery
using Matlab/Simulink, A Simon and Schuster
Company, Upper Saddle River, New Jersey, (1997).
[4]. Nash, J. N.: Direct torque control, inductionmotorvector
control without an encoder, IndustryApplications,IEEE
Transactions on, vol. 33, pp. 333-341, (1997).
[5]. Sprecher, S. A. G. R. A.: Application Basics of Operation
of Three-phase Induction Motors, (1996).
[6]. Ashfaq, A.: Power Electronics for Technology, Hall
International, Inc., International Edition, (1999).
[7]. Anett, F.A.: Electric Elevators, Second Edition, Printed
by McGraw Hill Book Company, Inc (1935).
[8]. Buja, G.S. and Marian, P. K.: Direct Torque control of
PWM Inverter-Fed AC Motor – A Survey, IEEE
Transactions on Industrial Electronics, Vol.1,No.4,pp.
344-350, (2004).
[9]. Wang, X., Yang, Y.andLiu, W.: Simulation of vector
controlled adjustable speed System of induction motor
based on Simulink, pp. 2563-2566,(2011).

Speed Control System of Induction Motor by using Direct Torque Control Method used in Escalator

  • 1.
    International Journal ofTrend in Scientific Research and Development (IJTSRD) Volume 3 Issue 5, August 2019 Available Online: www.ijtsrd.com e-ISSN: 2456 – 6470 @ IJTSRD | Unique Paper ID – IJTSRD27903 | Volume – 3 | Issue – 5 | July - August 2019 Page 2250 Speed Control System of Induction Motor by using Direct Torque Control Method used in Escalator Soe Sandar Aung1, Thet Naing Htun2 1Professor, 2Associate Professor 1,2Department of Electrical Power Engineering, Technological University, Mandalay, Myanmar How to cite this paper: Soe Sandar Aung| Thet Naing Htun "Speed ControlSystemof Induction Motor by using Direct Torque Control Method used in Escalator" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456- 6470, Volume-3 | Issue-5, August 2019, pp.2250-2253, https://doi.org/10.31142/ijtsrd27903 Copyright © 2019 by author(s) and International Journal ofTrend inScientific Research and Development Journal. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0) (http://creativecommons.org/licenses/by /4.0) ABSTRACT Escalator is useful and act in the important part to carry passengers to the targeted floors of building. Every escalator must be driven by its own motor and this motor speed must be controled. To drive escalator with a constant speed, direct torque control technique is used to drive three-phase squirrel- cage induction motor. In this paper, the development of speed control system for three-phase squirrel-cage induction motor using a direct torque control method is presented and simulation for proposedsystem is done withthehelp of MATLAB/SIMULINK. KEYWORDS: Escalator, three-phase squirrel-cage inductionmotor, directtorque control method I. INTRODUCTION In most large cities, land is scarce and very valuable. This has led to the construction of tall building which occupy only a small area of land while providing a lot of floor space where people can live or work. So, in these buildings, the escalator become useful and essential to carry passengers to the desired floors. Escalators are passenger transportation installations in view of this, servicing should be carried out at sufficiently frequent intervals to match up to the intensity of use. Escalators and moving walk ways are both usually driven by electric motors connected to steps in the moving walk ways or escalators via a belt or chain mechanism. Usually, escalators are involved in about 3 to 8% of the overall electricity consumption of a building. The size of escalator motor will depend on the load expected. The handrail is also usually connected to the electric motor via chain or belt. An escalator may have internal lights along the handrail and at the top and button to accent the escalator. Induction motor plays a very important role in both worlds,becauseof low cost, reliable operation, robust operation and low maintenance. There are two main types of induction motors which are the wound rotorand squirrel-cagemotorandboth of them are in widespread use. Squirrel-cage rotor winding design is considered more reliable and cheaper to be made. Direct Torque Controlled concepts were proposed by Takashi and Noguchi in 1986. The idea of this method is based on comparing the measured stator flux and torque with the theoretically desired bands. The vector differences control the subsequent switching sequence of the SVPWM inverter voltage based on the switching logic table. That however restricts the mains stator flux and torque to fall in pre-established bands. II. Operation Principle of Escalator The core of an escalator is a pairs of chain, looped around two pairs of gears. An electric motor turns the drive gear at the top, which rotate the chain loops. A typical escalatoruses a 100 hp motor to rotate the gears. The motor and chain system are housed inside the truss, a metal structure extending between two floors. Instead of moving a flat surface, as in a conveyer belts, the chain loops move, the steps always stay level At the top and bottom of the escalator, the steps collapse on each other, creating a flat platform. This makes it easier to get on and off the escalator. In the diagram below, you can see how escalator does all of this. Each step in the escalator has two sets of wheels, which roll along two separate tracks. The upper set (the wheels near the top of the step) are connectedtotherotatingchains, and so are pulled by the drive gear at the top oftheescalator. The other set of wheels simply glides along its track, following behind the first set.[1] Figure.1 Operation of Escalator III. Mathematical Model of Induction Motor The equivalent circuit model of three-phase AC machines is shown in figure 2 where the three phases of the stator and IJTSRD27903
  • 2.
    International Journal ofTrend in Scientific Research and Development (IJTSRD) @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID – IJTSRD27903 | Volume – 3 | Issue – 5 | July - August 2019 Page 2251 the rotor are both modeled by inductive components and appropriate AC voltage sources.Thestatorthreephaseinput voltages, from the artificial V mains, are given in Equation 1 to Equation 3 as well as the induced rotor three phase voltages which are given in Equation 4 to Equation 6.[2] Figure.2 Equivalent Circuit Model of Three-phase AC Machine The stator of induction motor consists of three phase balanced distributed winding with each phase separated from the other two winding by 120 degrees in space. When current flows through these windings, three phase rotating magnetic field is produced. The dynamic behavior of the induction motor is taken into account in an adjustablespeed drive system using a power electronic converter. This machine constitutes an element with in a feedback loop. Study of dynamic performance of machine is complexdue to the coupling effect of the stator and rotor windings; also the coupling coefficient varies with the rotor position.Soaset of differential equations with time varying coefficients described the machine model. The electromagnetic torque of the machine can be written as: Where P is the number of pole and Te is the electromagnetic torque TL is load torque, J is the inertia of the rotor and connected load B is the friction. IV. Propose Control System of Induction Motor Using Direct Torque Control Scheme The conventional DTC scheme is a closed loop control scheme, the important elements of the control structure being: the power supply circuit, a three phasevoltagesource inverter, the induction motor, the speed controller to generate the torque command and the DTC controller. The DTC controller again consists of torque and flux estimation block, two hysteresis controllers and sector selection block, the output of the DTC controller is the gating pulses for the inverter. The DTC scheme does notrequirecoordinatetransformation as all the control procedures are carried out in stationary frame of reference. So this scheme does not suffer from parameter variations to the extent that other control techniques do. Also there is no feedback currentcontrolloop due to which the control actions do not suffer from the delays inherent in the current controllers, no pulse width modulator, no PI controllers and no rotor speed or position sensor. So it is a sensorless control technique, which operates the motor without requiring a shaft mounted mechanical sensor. Here on-line torque and flux estimators are used for closing the loop. Here the torque and stator flux are controlled directly by using hysteresis comparators.[3] The basic principle of DTC is to directly select stator voltage vectors according to the torque and fluxerrors whicharethe differences between the references of torque and stator flux linkage and their actual values. The governing equation for torque for this scheme is due to the interaction of stator and rotor fields. Torque and stator flux linkage are computed from measured motor terminal quantities i.e.statorvoltages and current. An optimal voltage vector for the switching of VSI is selected among the six nonzero voltage vectors and two zero voltage vectors by the hysteresis control of stator flux and torque. This method of control implies a comparative control of the torque and stator flux. It is more used in controlling induction machine because it is considered a simple and robust method. The stator current and voltage are indirectly controlled hence no current feedback loops are required. Nearly sinusoidal stator fluxes and stator currents enable high dynamic performanceseven at standstill. The generic DTC scheme for a Voltage source PWM inverter-fed IM drive is shown in figure 3.[4] Figure.3 Block Diagram of Space Vector PWM DTC Control
  • 3.
    International Journal ofTrend in Scientific Research and Development (IJTSRD) @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID – IJTSRD27903 | Volume – 3 | Issue – 5 | July - August 2019 Page 2252 V. Modeling of Speed Control System forSquirrel- cage Induction Motor Using Direct Torque Control For the speed control system for squirrel-cage induction motor, the modeling and simulation is carried out with MATLAB/SIMULINK software. For the modeling 3.7kW, 400V squirrel-cage induction motor is used and parameters are shown in table 1. Table.1 Parameters of BLDC motor Rated Power, kW 3.7 Rated Voltage, V 400 Rated Torque, Nm 41.76 Rated Speed, rpm 1450 Connection of stator winding Star Type of rotor Cage rotor Frequency, Hz 50 No. of pole 4 The simulink model for the speed control system for squirrel-cage induction motor is shown in figure 4. . The motor is fed from an IGBT PWM inverter. In this drive, the speed is set at 750 rpm and the flux reference is maintained at 0.8. At 0.6 sec the load torque change from no-load to 3.48 Nm for one person load, at 1.8 sec the load torque change from 3.48 Nm to 17.4 Nm for five persons, at 3 sec the load change from 17.4 to 41.76 Nm for twelve persons, at 4.2 sec the torque change from 41.76 Nm to 3.48 Nm for two persons and at 5.4 sec the load torque change from 3.48 Nm to 0. Figure4. Simulink model for the speed control system for squirrel-cage induction motor VI. Result Figure 5 shows stator currents of induction machine with sudden change in load torque of escalator. In this case it is seen that, when the load on the motor is increasedthemotor currents are increased and when the load on the motor is decreased the motor currents are decreased. At maximum load torque 41.76 Nm for twelve persons, the current is reaching to the 22 A. Figure5. Three-phase Currents Response of Direct Torque Control Figure 6 shows the resultant speed response of the machine at different load torque. In figure 6, the speedreachingtothe desired speed at 0.3 sec and at when escalator is loaded3.48 Nm (one person), the speed decreases to the 700 rpm and return to the desired speed in 0.2 sec. When the load torque is changed from 3.8 Nm to 17.4 Nm for five persons, the speed decreases to the 650 rpm and return to the desired speed in 0.3 sec. When the load torque is changed from 17.4 Nm to 41.76 Nm for twelve persons, the speed decreases till 410 rpm and return to the desired speedin0.4sec.Whenthe load torque is changed from 41.76 Nm to 3.48 Nm for one person, the speed increases till 1300 rpm and return to the desired speed in 0.4 sec. When the load torque is changed from 3.8 Nm to 0 for no load, the speed increases to the 800 rpm and return to the desired speed in 0.2 sec. Figure6. Speed Response of Direct Torque Control An increase and decrease of the load on the shaft of the motor developing increase and decrease of electromagnetic torque as indicating in figure.7. The torque in, which is smoothly following the load torque and it reaches the desired torque slower. As shown in figure 7, the actual torque follows reference torque very fast when reference load torque changes. Figure7. Electromagnetic Torque of Direct Torque Control VII. Conclusion This paper presents the speed control of squirrel-cage induction motor using Direct Torque Control method with Space Vector PWM was implemented using MATLAB/SIMULINK. In Direct Torque Control system, a closed loop speed control technique is used for the squirrel- cage induction motor. InDTC scheme,thetorqueandcurrent
  • 4.
    International Journal ofTrend in Scientific Research and Development (IJTSRD) @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID – IJTSRD27903 | Volume – 3 | Issue – 5 | July - August 2019 Page 2253 ripple are minimized by employing space vectormodulation technique and the torque response is fast and smooth reach to the desired load torque. References [1]. Taninecz, G.: Schindler Escalator Corp, Industry Week, (1996) [2]. Ong, C. M.: Dynamic simulation of electric machinery: using MATLAB/SIMULINK, vol. 5, Prentice Hall PTR Upper Saddle River, NJ, (1998). [3]. Chee-Mun, O.: DynamicSimulationof ElectricMachinery using Matlab/Simulink, A Simon and Schuster Company, Upper Saddle River, New Jersey, (1997). [4]. Nash, J. N.: Direct torque control, inductionmotorvector control without an encoder, IndustryApplications,IEEE Transactions on, vol. 33, pp. 333-341, (1997). [5]. Sprecher, S. A. G. R. A.: Application Basics of Operation of Three-phase Induction Motors, (1996). [6]. Ashfaq, A.: Power Electronics for Technology, Hall International, Inc., International Edition, (1999). [7]. Anett, F.A.: Electric Elevators, Second Edition, Printed by McGraw Hill Book Company, Inc (1935). [8]. Buja, G.S. and Marian, P. K.: Direct Torque control of PWM Inverter-Fed AC Motor – A Survey, IEEE Transactions on Industrial Electronics, Vol.1,No.4,pp. 344-350, (2004). [9]. Wang, X., Yang, Y.andLiu, W.: Simulation of vector controlled adjustable speed System of induction motor based on Simulink, pp. 2563-2566,(2011).