International Journal of Advance Engineering and Research Development VECTOR CONTROL TECHNIQUE OF INDUCTION MOTOR

Similar documents
International Journal of Advance Research in Engineering, Science & Technology. Comparative Analysis of DTC & FOC of Induction Motor

International Journal of Advance Research in Engineering, Science & Technology

INTRODUCTION. I.1 - Historical review.

International Journal of Advance Engineering and Research Development A THREE PHASE SENSOR LESS FIELD ORIENTED CONTROL FOR BLDC MOTOR

International Journal of Scientific & Engineering Research, Volume 7, Issue 6, June ISSN

Simulation of Indirect Field Oriented Control of Induction Machine in Hybrid Electrical Vehicle with MATLAB Simulink

Design And Analysis Of Artificial Neural Network Based Controller For Speed Control Of Induction Motor Using D T C

Low Speed Control Enhancement for 3-phase AC Induction Machine by Using Voltage/ Frequency Technique

International Journal of Advance Research in Engineering, Science & Technology

Sensorless Speed Control of 3-Phase Induction Motors by using several techniques

Código de rotor bloqueado Rotor bloqueado, Letra de código. Rotor bloqueado, Letra de código

Asian Journal on Energy and Environment ISSN Available online at

SPEED AND TORQUE CONTROL OF AN INDUCTION MOTOR WITH ANN BASED DTC

Keywords: DTC, induction motor, NPC inverter, torque control

Indirect Vector Control of an Induction Motor using Space vector PWM of Three Phase Converters

Speed Control of Induction Motor using FOC Method

R13 SET - 1. b) Describe different braking methods employed for electrical motors. [8M]

High starting performance synchronous motor

Modeling and Simulation of Five Phase Inverter Fed Im Drive and Three Phase Inverter Fed Im Drive

COLLEGE OF ENGINEERING DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING QUESTION BANK SUBJECT CODE & NAME : EE 1001 SPECIAL ELECTRICAL MACHINES

PERFORMANCE AND ENHANCEMENT OF Z-SOURCE INVERTER FED BLDC MOTOR USING SLIDING MODE OBSERVER

Field Oriented Control of Permanent Magnet Synchronous Motor

CHAPTER 5 ACTIVE AND REACTIVE POWER CONTROL OF DOUBLY FED INDUCTION GENERATOR WITH BACK TO BACK CONVERTER USING DIRECT POWER CONTROL

SENSORLESS CONTROL OF BLDC MOTOR USING BACKEMF BASED DETECTION METHOD

Effect of prime mover speed on power factor of Grid Connected low capacity Induction Generator (GCIG)

APPLICATION OF VARIABLE FREQUENCY TRANSFORMER (VFT) FOR INTEGRATION OF WIND ENERGY SYSTEM

Artificial-Intelligence-Based Electrical Machines and Drives

QUESTION BANK SPECIAL ELECTRICAL MACHINES

A Comparative Study of Constant Speed and Variable Speed Wind Energy Conversion Systems

CHAPTER 1 INTRODUCTION

Stator-Flux-Oriented Control of Induction Motor Considering Iron Loss

CHAPTER 4 MODELING OF PERMANENT MAGNET SYNCHRONOUS GENERATOR BASED WIND ENERGY CONVERSION SYSTEM

POWER QUALITY IMPROVEMENT BASED UPQC FOR WIND POWER GENERATION

A New Control Algorithm for Doubly Fed Induction Motor with Inverters Supplied by a PV and Battery Operating in Constant Torque Region

A CURRENT-SOURCE-INVERTER-FED INDUCTION MOTOR DRIVE SYSTEM WITH REDUCED LOSSES

RECENTLY, it has been shown that a grid-connected

1.1 Block Diagram of Drive Components of Electric Drive & their functions. Power Processor / Modulator. Control. Unit

Facility Employing Standard Converters for Testing DFIG Wind Generators up to 30kW

STUDY ON MAXIMUM POWER EXTRACTION CONTROL FOR PMSG BASED WIND ENERGY CONVERSION SYSTEM

General Purpose Permanent Magnet Motor Drive without Speed and Position Sensor

SPEED CONTROL OF THREE PHASE INDUCTION MACHINE USING MATLAB Maheshwari Prasad 1, Himmat singh 2, Hariom Sharma 3 1

Question Bank ( ODD)

One-Cycle Average Torque Control of Brushless DC Machine Drive Systems

DHANALAKSHMI SRINIVASAN COLLEGE OF ENGINEERING AND TECHNOLOGY MAMALLAPURAM, CHENNAI

IOSR Journal of Electrical and Electronics Engineering (IOSR-JEEE) e-issn: ,p-ISSN: , PP

A Novel Integration of Power Electronics Devices for Electric Power Train

Statcom Operation for Wind Power Generator with Improved Transient Stability

INDUCTION motors are widely used in various industries

A Comparative Analysis of Speed Control Techniques of Dc Motor Based on Thyristors

IJSRD - International Journal for Scientific Research & Development Vol. 4, Issue 04, 2016 ISSN (online):

Optimal Control of a Sensor-less Vector Induction Motor

VECTOR CONTROL OF THREE-PHASE INDUCTION MOTOR USING ARTIFICIAL INTELLIGENT TECHNIQUE

Model Predictive Control of Back-to-Back Converter in PMSG Based Wind Energy System

Fuzzy based STATCOM Controller for Grid connected wind Farms with Fixed Speed Induction Generators

A Simple Position-Sensorless Algorithm for Rotor-Side Field-Oriented Control of Wound-Rotor Induction Machine

Comparative Study of Maximum Torque Control by PI ANN of Induction Motor

Speed Control of Dual Induction Motor using Fuzzy Controller

DIRECT TORQUE CONTROL OF A THREE PHASE INDUCTION MOTOR USING HYBRID CONTROLLER. RAJESHWARI JADI (Reg.No: M070105EE)

B.E-EEE(Marine) Batch 7. Subject Code EE1704 Subject Name Special Electrical Machines

University of New South Wales School of Electrical Engineering & Telecommunications ELEC ELECTRIC DRIVE SYSTEMS.

Speed Control of 3-Phase Squirrel Cage Induction Motor by 3-Phase AC Voltage Controller Using SPWM Technique

3rd International Conference on Material, Mechanical and Manufacturing Engineering (IC3ME 2015)

Modern Motor Control Applications and Trends Tomas Krecek, Ondrej Picha, Steffen Moehrer. Public Information

A DIGITAL CONTROLLING SCHEME OF A THREE PHASE BLDM DRIVE FOR FOUR QUADRANT OPERATION. Sindhu BM* 1

Laboratory Tests, Modeling and the Study of a Small Doubly-Fed Induction Generator (DFIG) in Autonomous and Grid-Connected Scenarios

Speed Sensorless Fault-Tolerant Drive System of 3- Phase Induction Motor Using Switching Extended Kalman Filter

CHAPTER 1 INTRODUCTION

Inverter control of low speed Linear Induction Motors

Performance Analysis of 3-Ø Self-Excited Induction Generator with Rectifier Load

Whitepaper Dunkermotoren GmbH

Volume II, Issue VII, July 2013 IJLTEMAS ISSN

Chapter 2 Literature Review

Instantaneous Torque Control of Small Inductance Brushless DC Motor

ESO 210 Introduction to Electrical Engineering

Sensorless Control Of Ac Motor Drives Speed And Position Sensorless Operation

Speed Control of D.C. MOTOR Using Chopper

PERFORMANCE ANALYSIS OF BLDC MOTOR SPEED CONTROL USING PI CONTROLLER

EXPERIMENTAL VERIFICATION OF INDUCED VOLTAGE SELF- EXCITATION OF A SWITCHED RELUCTANCE GENERATOR

Modeling and Simulation of BLDC Motor using MATLAB/SIMULINK Environment

A Novel Method of Using Direct Torque Control in Bipolar Stepper Motor. Mr. Ajith Asok, Prof. Dominic Mathew

FATIMA MICHAEL COLLEGE OF ENGINEERING & TECHNOLOGY Senkottai Village, Madurai Sivagangai Main Road, Madurai

Modelling and Simulation of DFIG with Fault Rid Through Protection

DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING

A Dual Stator Winding-Mixed Pole Brushless Synchronous Generator (Design, Performance Analysis & Modeling)

A Comprehensive Study on Speed Control of DC Motor with Field and Armature Control R.Soundara Rajan Dy. General Manager, Bharat Dynamics Limited

Control of PMS Machine in Small Electric Karting to Improve the output Power Didi Istardi 1,a, Prasaja Wikanta 2,b

A matrix converter based drive for BLDC motor Radhika R, Prince Jose

Voltage Sag Mitigation in IEEE 6 Bus System by using STATCOM and UPFC

ANALYSIS OF WIND AND PV SYSTEMS 4.1 Wind Energy Conversion Systems (WECS)

Performance analysis of low harmonics and high efficient BLDC motor drive system for automotive application

ISSN: X Tikrit Journal of Engineering Sciences available online at:

Synchronous Motor Drives

CONTROL AND PERFORMANCE OF A DOUBLY-FED INDUCTION MACHINE FOR WIND TURBINE SYSTEMS

CHAPTER 5 FAULT AND HARMONIC ANALYSIS USING PV ARRAY BASED STATCOM

International Journal of Engineering Research-Online A Peer Reviewed International Journal Articles available online

Sliding Mode Control of a Variable Speed Wind Energy Conversion System based on DFIG

VARIABLE FREQUENCY DRIVE AND ITS INDUSTRIAL APPLICATIONS

Simulation and Development of Stepper Motor for Badminton Playing Robot

Sensor less Control of BLDC Motor using Fuzzy logic controller for Solar power Generation

Sensorless Control of Induction Motor Drives at Low Speed Using Fuzzy Logic Control

Transcription:

Scientific Journal of Impact Factor(SJIF): 3.134 e-issn(o): 2348-447 p-issn(p): 2348-646 International Journal of Advance Engineering and Research Development Volume 1,Issue 12, December -214 VECTOR CONTROL TECHNIQUE OF INDUCTION MOTOR Patel Nimisha D. 1,Jay S. Tadel 2,Ami T. Patel 3 1 Electrical engineering Department, MGITER Navsari,nimisha.patel11@gmail.com 2 Electrical engineering Department, MGITER Navsari,jaytandel1@gmail.com 3 Electrical engineering Department, MGITER Navsari,ami_engg86@yahoo.com Abstract Now-a-days induction motor is the main work -horse of the industries. So controlling of induction motor is most precisely required in many high performance applications. Scalar control method gives good steady state response but poor dynamic response. While vector control method gives good steady state as well as dynamic response. This paper applies the pulse width modulation to indirect vector control of an induction machine. A hysteresis current controller is applied for controlling the output voltage of the PWM inverter which is fed the induction machine. To justify the correctness of the system and its feasibility, the simulation method is selected. The model o f the system is implemented in MATLAB Simulink software, which is suitable for testing the dynamic simulation of a system. Keywords- Vector control, Induction motor, Direct torque control, Field oriented control, Separately excited dc motor. I. INTRODUCTION In 1891 at the Frankfurt exhibition, Nikola Tesla first presented a polyphase induction motor. Since then great improvements have been made in the design and performance of the induction motors and numerous types of polyphase and single-phase induction motors have been developed. As a rough estimate nearly 9 percent of the world s AC motors are polyphase induction motors. The main thing to be understood here is why Induction motors are used in every section or for every action. There are few advantages of using Induction motors which are not provided by any other motor. Some of these advantages of Induction motors are:- Cheap: This is the most important thing in current age of competition. If something is costly we immediately start looking for its alternatives. Induction machines are very cheap when compared to synchronous and DC machines. It make them first choice for any operation. Robust: induction machines are robust in construction. It is another advantage of using Induction Machine. Efficient and Reliable: Induction machines are no doubt very reliable machines and have considerable efficiency. Low Maintenance Cost: As construction of induction machine is very simple and hence maintenance is also easy resulting in small maintenance cost. High Starting Torque: Starting torque on induction motor is high which make is useful for operations where load is applied before the starting of the motor. AC induction motor is the most common motor used in industries and mains powered home appliances. It is biggest industrial load, so widely used. Engineers have to know its performance, have to control as per loa d requirement & protecting induction motor also. In initial years D.C. motors were widely used in applications where high performance in variable speed was required. Separately excited D.C. motors were extremely used in areas where fast torque was a must. It was considered as a main work horse in the industry. The faster dynamic response of DC motor lies into its being a doubly fed motor and inherent DE-COUPLING facility of independent control of torque and flux in the motor. DC motor had its disadvantage like maintenance, sparking, difficulty in commutation at high current and voltage so it is limited to low power and low speeds. After the invention of the induction motor above mention difficulties was overcome. But it did not have de - coupling facility between torque and flux for controlling. So their dynamic performance was poor. After the invention of static DC controller, DC machines were again widely used for torque and speed control. Then after invention of power electronics components and scalar control method like variable frequency drive (VFD) or slip frequency control, induction motors were widely used again but they didn t have de-coupling facility of torque and flux. So for the decoupling of torque and flux, vector control introduced for better performance of induction motor application. Slip frequency control method is well known method for better dynamic performance. This method was widely used in all high performance induction machine drives until field oriented control (FOC) became the industry s standard for AC drives with dynamics close to that of DC motor drives. DTC has emerged over the last decade to become one possible alternative to the well-known Vector Control of Induction Machines. Its main characteristic is th e good performance, obtaining results as good as the classical vector control but with several advantages based on its simpler structure and control diagram. Which has simpler construction and working principle and cheaper than FOC. This paper discusses the study about indirect vector control of induction motor. @IJAERD-214, All rights Reserved 274

International Journal of Advance Engineering and Research Development (IJAERD) Volume 1,Issue 12, December -214, e-issn: 2348-447, print-issn:2348-646 II. INTRODUCTION OF VECTOR CONTROL (FOC) Before introduction of vector control of induction motor the methods enjoyed wide acceptability in controlling the speed of the cage induction motor drive are termed as SCALAR (only magnitude), V/f control, voltage control, frequency control, power recovery control etc. all these control methods with cage motor exhibits inferior dynamics performance as compared to separately excited DC motor. So the modern research is carried on introducing and improving VECTOR control which involves both magnetic and phase alignment of quantities. 2.1. What is vector control? Vector control (VC) mode of operation is defined as a control technique in which two equivalent control signals are produced to control torque and flux in decoupled manner. When three-phase squirrel cage induction motor is operated in VC mode, its response improves considerably and it acts as a better substitute for the separately excited DC motor. The field and the armature currents respectively can control the flux and torque, independently in the case of DC motors. It is because of this inherent decoupling between the field flux and the armature current, one is able to achieve very good torque dynamics from DC machines. Therefore, achieving good torque dynamics in AC machines is not easy. However, now-a-days, field oriented control or vector control techniques have been employed, which results in good torque dynamics of induction motors. 2.2.Need for vector control Inverter fed induction motors are increasingly being used for general purpose applications. Varying input voltage (V) to the motor frequency (f) in open loop operation is one of the most popular methods of speed control. This is called sc alar control method. In this method, V/f is held constant. As the frequency nearly approaches zero, the magnitude of the stator voltage also tends to zero and the stator resistance absorbs this low voltage. Therefore, at low speeds an auxiliary voltage must be injected for compensating stator resistance drop so that the rated air-gap flux and hence the full load torque is available up to zero speed. Hence, in constant v/f control scheme, the air gap flux may drift as a result, torque sensitivity with slip frequency or stator current will vary. Hence, a speed control scheme with independent control of torque and flux loop is desirable. In 1971, Blaschke proposed a scheme, which aims at the control of induction motor like a separately excited dc motor, called Field Oriented Control or Vector Control. In an AC machine, both the phase angle and the modulus of the current must be controlled, or in other words, the current vector must be controlled. This is the reason for the terminology Vector Control. In this scheme, the induction motor is analysed from a synchronously rotating reference frame where all the fundamental ac variables appear to be dc equals. The torque and flux components are identified and controlled independently to achieve good dynamic response. Vector control implies that an ac motor is forced to behave dynamically as a DC motor by the use of feed back control. Field-oriented control (FOC) or vector control of induction machine achieves decoupled torque and flux dynamics leading to independent control of the torque and flux as for a separately excited DC motor. This is achieved by orthogonal projection of the stator current into a torque-producing component and flux-producing component. This technique is performed by two basic methods. Direct and indirect vector control. FOC can be implemented as indirect (feed-forward) or direct (feedback) depending on the method used for rotor flux identification. The direct FOC determines the orientation of the air-gap flux by use of a hall-effect sensor, search coil or other measurement techniques. However, using sensors is expensive because special modifications of the motor are required for placing the flux sensors. Furthermore, it is not possible to directly sense the rotor flux. Calculating the rotor flux from a directly sensed signal may result in inaccuracies at low speed due to the dominance of stator resistance voltage drop in the stator voltage equation and inaccuracies due to variations on flux level and temperature. In case of induction machines, the indirect method is based on reconstruction (estimation) approaches employing terminal quantities such as voltage and currents in a motor model to calculate the flux position. Indirect FOC does not have inherent low-speed problems and is therefore preferred in most applications. There are three possible implementation based on the stator, rotor, or air gap flux orientation. The rotor flux indirect vector control technique is the most widely used due to its simplicity. III. FOC FOC methods are attractive but suffer from one major disadvantage. They are sensitive to parameter variations such as rotor constant and incorrect flux measurement or estimation at low speeds. Consequently, performance deteriorates and a conventional controller such as a PI is unable to maintain satisfactory performance under these conditions. The Field Orientated Control is based on three major points: the machine current and voltage space vectors, the transformation of a three phase speed and dependent system into a two co-ordinate invariant systems and effective Pulse Width Modulation pattern generation. As shown in fig. 1 construction of DC machine is such that field flux Ψ f produced by the field current If is perpendicular to the armature flux Ψ a produced by the armature current Ia. These are decoupled in nature. This means that torque is @IJAERD-214, All rights Reserved 275

International Journal of Advance Engineering and Research Development (IJAERD) Volume 1,Issue 12, December -214, e-issn: 2348-447, print-issn:2348-646 individually controlled by the current I a, without affecting the Ψ f and we get fast transient response and high torque/ampere ratio with rated Ψ f. Fig. 1 A Separately excited DC motor Fig. 2 Vector Control induction motor As shown in fig. 2, DC machine-like can also be extended to an induction motor if the machine control is considered in a synchronously rotating reference frame (d-q) where the sinusoidal variables appear as DC quantities in steady state. There are three ways of vector control based on the reference frame in which the stator currents are transformed. They are: (1) Stator flux oriented control (2) Magnetizing flux oriented control (3) Rotor flux oriented control The goal of FOC (fig. 3) is to maintain the amplitude of the rotor flu x lin kage at a fixed value, except fo r field - weakening operation or flux optimization, and only modify a torque-producing current component in order to control the torque of the ac machine. This control strategy is based on projections. Electromagnetic torque is produced by the interaction of stator flux linkages and stator currents (or rotor flux and rotor current), and can be expressed as a complex product of the flux and current space phasors. There are two types of FOC: (1) Direct & (2) Indirect The goal of FOC (fig. 3) is to maintain the amplitude of the rotor flu x lin kage at a fixed value, except fo r field - weakening operation or flux optimization, and only modify a torque-producing current component in order to control the torque of the ac machine. This control strategy is based on projections. Electromagnetic torque is produced by the interaction of stator flux linkages and stator currents (or rotor flux and rotor current), and can be expressed as a complex product of the flux and current space phasors. There are two types of FOC: (1) Direct & (2) Indirect 3.1. Direct FOC In direct field-oriented control the rotor flux position is obtained by measuring the air gap flux using sensors or estimated using terminal voltages and currents, which is also known as sensorless direct field oriented control. Knowing the flux position the required phase currents that give the desired flux and torque value can be calculated and forced into the motor stator [5]. 3.2.Indirect method In indirect field-oriented control the 9-degree orientation between the rotor flux and the q-axis component of the stator current is maintained by satisfying the unique slip relationship associated with the d-q currents components in a field-orientation controlled motor. In this method, a feedback of the rotor position is required. Similar to the rotor flux position in direct field-oriented control case the rotor position can be directly obtained from an incremental encoder or estimated using the terminal voltages and currents information which is known as sensor less indirect field-oriented control. If a voltage vector changes then the stator flux and phase angle between the stator flux and rotor flux vectors changes, then the torque produced will change. Since a two-level inverter is only capable of producing six non-zero voltage vectors and two zero @IJAERD-214, All rights Reserved 276

International Journal of Advance Engineering and Research Development (IJAERD) Volume 1,Issue 12, December -214, e-issn: 2348-447, print-issn:2348-646 vectors, it is possible to create a table that determines the voltage vector to apply based on the position of the stator flux and the required changes in stator flux magnitude and torque. This is called the optimal vector selection table. The estimated stator flux magnitude and torque output is compared to the demand values. A voltage vector is then selected that will drive the torque and flux towards the demanded values Fig. 3 Basic block diagram of FOC This shows the torque produced is dependent on the stator flux magnitude, rotor flux magnitude, and the phase angle between the stator and rotor flux vectors. IV. SIMULATION DIAGRAM Vector Control of AC Motor Drive Discrete, Ts = 2e-6 s. Vector Control Constant speed 14 Vab * speed* Vabc Vbc Speed step Vca Constant torque Irtr HB PWM * Vdc + - g A B C Pulses A Vabc B a b C c Three-Phase V-I Measurement Vabc m Step Tm A B C m 1 z iabc <Rotor speed (wm)> -K- <Electromagnetic torque Te (N*m)> vab Vbc rotor current Irtr applied torque Speed Te. @IJAERD-214, All rights Reserved 277

speed rotor current iabc voltage International Journal of Advance Engineering and Research Development (IJAERD) Volume 1,Issue 12, December -214, e-issn: 2348-447, print-issn:2348-646 V. SIMULATION RES ULTS 8 6 4 2-2 -4-6 -8 2 4 6 8 1 12 14 x 1 4 4 3 2 1-1 -2-3 -4 2 4 6 8 1 12 14 x 1 4 4 3 2 1-1 -2-3 -4 2 4 6 8 1 12 14 x 1 4 18 16 14 12 1 8 6 4 2 2 4 6 8 1 12 14 x 1 4 @IJAERD-214, All rights Reserved 278

electromagnetic torque applied torque International Journal of Advance Engineering and Research Development (IJAERD) Volume 1,Issue 12, December -214, e-issn: 2348-447, print-issn:2348-646 2 18 16 14 12 1 8 6 4 2 2 4 6 8 1 12 14 x 1 4 2 15 1 5-5 2 4 6 8 1 12 14 x 1 4 Advantages of Field Oriented Control 1) Improved torque response. 2) Torque control at low frequencies and low speed. 3) Dynamic speed accuracy. 4) Reduction in size of motor, cost and power consumption. 5) Four quadrant operation. 6) Short-term overload capability. VI. CONCLUS IONS This paper has introduced a survey on Induction motor speed control. Three phase induction motor is con trolled with an efficient technique called field oriented control. The FOC helps in controlling the torque and provides better speed regulation. Hence by using this FOC technique has improved the motor performance and efficiency and speed control of the Induction motor is obtained in an accurate manner. REFERENCES: [1]. P. K. Mukherjee & S. Chakravorti, Electrical machines [2]. Joachim Böcker, Member, IEEE, State of the Art of Induction Motor Control, Shashidhar Mathapati, University Paderborn, Warburger Str. 1, D-3398 Paderborn, Germany [3]. Technical guide no 1, Direct Torque Control, The world's most advanced AC drive technology, ABB [4]. Punya Jain and Abhishek Vyas, Simulation of vector controlled induction motor drive using MATLAB, B. E. thesis of B.E. Electrical, Faculty of Technology and Engineering, The maharaja Sayajirao University, Baroda [5]. R.Krishnan, (25), Electric motor drives- modeling, analysis and control, Prentice- Hall, India [6].Texas Instruments Europe, Field Orientated Control of 3-Phase AC-Motors, Literature Number: BPRA73, February 1998 [7]. Peter Vas, Sensorless Vector and Direct Torque Control, Oxford Science Publications, NY, 199 [8]. Doki, S., Sangwongwanich, S. and Okuma, S. "Implementation of speed sensorless field oriented vector control using adaptive sliding observer." IEEE-IECON, San Diego, pp. 453-458, 1992. [9].Kubota, H. and Matsuse, K. "Speed sensorless field oriented control of induction machines." IEEE IECON, Bologna, Italy, pp. 1611-1615, 1994. [1].Schauder, C. "Adaptive speed identification for vector control of induction motors without rotational transducers." IEEE Transactions on Industrial Applications, vol. 28, pp. 154-161, 1992. [11].Tajima, H. and Hori, Y. "Speed sensorless field-orientation control of the induction machine." IEEE Transactions on Industry Applications, vol. 29, pp. 175-18, 1993 [12].Tamai, S., Sugimoto, H. and Yano, M. "Speed sensorless vector control of induction motor with model reference adaptive system." IEEE Industrial Applications Society Annual Meeting, Atlanta, pp. 189-195, 1987. @IJAERD-214, All rights Reserved 279