SPEED CONTROL OF DC MOTOR USING FOUR-QUADRANT CHOPPER AND BIPOLAR CONTROL STRATEGY

Similar documents
D.C. DRIVE SYSTEM USING FOUR-QUADRANT CHOPPER

Buletinul AGIR nr. 3/2012 iunie-august. Assis. Eng. Ciprian AFANASOV PhD. University "Ştefan cel Mare" Suceava

DC-DC CONVERTOR STRUCTURE RE FOR ENERGY MANAGEMENT ON (HYBRID) ELECTRIC VEHICLE

UNIVERSITY QUESTIONS. Unit-1 Introduction to Power Electronics

HIGH CURRENT PWM BIPOLAR STEPPER MOTOR CONTROL AND DRIVE

A Half Bridge Inverter with Ultra-Fast IGBT Module Modeling and Experimentation

DRIVEN ASYNCHRONOUS MOTORS

Researches Regarding the Pollution with Harmonics by the Frequency Converters

ELEC387 Power electronics

INTEGRATED MOS GATE DRIVERS

POWER ELECTRONICS. Alpha. Science International Ltd. S.C. Tripathy. Oxford, U.K.

Department of Electrical Engineering, DESCOET Dhamangaon Rly, India

Industrial Fully Control Dc Motor Drive without Microcontroller. Four Quadrant Speed Control of DC Motor Using MOSFET and Push Button Switch

DOWNLOAD PDF POWER ELECTRONICS DEVICES DRIVERS AND APPLICATIONS

6. Explain control characteristics of GTO, MCT, SITH with the help of waveforms and circuit diagrams.

COATED ELECTRODE MANUAL-METAL ARC WELDING WITH HIGH FREQUENCY WELDING INVERTER POWER SOURCES

RAIL TO RAIL OP AMP AMPLIFIER WITH UNIPOLAR SUPPLY

Switches And Antiparallel Diodes

Electric cars: Technology

Contributions Concerning the Command of the Brushless D.C. Servomotor

Dr.Arkan A.Hussein Power Electronics Fourth Class. Operation and Analysis of the Three Phase Fully Controlled Bridge Converter

VALLIAMMAI ENGINEERING COLLEGE DEPARTMENT OF ELECTRONICS AND INSTRUMENTATION

Single-phase Variable Frequency Switch Gear

3 PHASE INVERTER WITH 180 AND 120 CONDUCTION MODE

Name of chapter & details

IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, VOL. 52, NO. 3, JUNE Juan Dixon, Senior Member, IEEE, and Luis Morán, Senior Member, IEEE IEEE

Switched Mode Power Conversion Prof. L. Umanand Department of Electronics Systems Engineering Indian Institute of Science, Bangalore

Application Note AN-3006 Optically Isolated Phase Controlling Circuit Solution

ZCS-PWM Converter for Reducing Switching Losses

ECET 211 Electric Machines & Controls Lecture 9-1 Adjustable-Speed Drives and PLC Installations (1 of 2)

PE Electrical Machine / Power Electronics. Power Electronics Training System. ufeatures. } List of Experiments

INVESTIGATION OF GATE DRIVERS FOR SNUBBERLESS OVERVOLTAGE SUPPRESSION OF POWER IGBTS

CONSIDERATIONS REGARDING THE SMALL POWER

Thyristors. In this lecture you will learn the following. Module 4 : Voltage and Power Flow Control. Lecture 18a : HVDC converters.

Power Electronics. Exercise: Block Operation

SAG MITTIGATION TECHNICS USING DSTATCOMS

ON THE TRANSIENTS OPTIMIZATION AND THE POWER FACTOR CORRECTION OF THE STATIC CONVERTERS

COOPERATIVE PATENT CLASSIFICATION

A Series-Resonant Half-Bridge Inverter for Induction-Iron Appliances

Modulated Field Synchronous Generator for Wind Turbines

INSTITUTE OF AERONAUTICAL ENGINEERING (Autonomous) Dundigal, Hyderabad

Development of a Single-Phase PWM AC Controller

Dev Bhoomi Institute Of Technology Department of Electronics and Communication Engineering PRACTICAL INSTRUCTION SHEET REV. NO. : REV.

CHAPTER 2 A SERIES PARALLEL RESONANT CONVERTER WITH OPEN LOOP CONTROL

Module 4. AC to AC Voltage Converters. Version 2 EE IIT, Kharagpur 1

SiC MOSFETs Based Split Output Half Bridge Inverter: Current Commutation Mechanism and Efficiency Analysis

Operating Manual Ver.1.1

Fig.1. A Block Diagram of dc-dc Converter System

Workshop Matlab/Simulink in Drives and Power electronics Lecture 4

CHAPTER 3 SINGLE SOURCE MULTILEVEL INVERTER

Closed Loop Single Phase Bidirectional AC to AC Buck Boost Converter for Power Quality Improvement

MAINTENANCE MANUAL AUDIO MATRIX BOARD P29/

Solid-State Bipolar Marx Converter with Output Transformer and Energy Recovery

HARDWARE IMPLEMENTATION OF DIGITAL SIGNAL CONTROLLER FOR THREE PHASE VECTOR CONTROLLED INDUCTION MOTOR

A Highly Versatile Laboratory Setup for Teaching Basics of Power Electronics in Industry Related Form

INTEGRATED CIRCUITS. AN1221 Switched-mode drives for DC motors. Author: Lester J. Hadley, Jr.

Soft Switched Resonant Converters with Unsymmetrical Control

LENDI INSTITUTE OF ENGINEERING & TECHNOLOGY

ANALYZING OF SWITCHING PROPERTIES OF IGBT TRANSISTOR USING PSCAD-EMTDC SIMULATION PROGRAM

BLOCK DIAGRAM OF THE UC3625

The NMIH-0050 H-Bridge

CHAPTER IV DESIGN AND ANALYSIS OF VARIOUS PWM TECHNIQUES FOR BUCK BOOST CONVERTER

CHAPTER 2 PID CONTROLLER BASED CLOSED LOOP CONTROL OF DC DRIVE

The Single-Phase PWM Inverter with Dual-Polarity DC Bus

Unipolar Driver for Stepper Motor Control

IGBT based Multiport Bidirectional DC-DC Converter with Renewable Energy Source

ABSTRACT I. INTRODUCTION

o What happens if S1 and S2 or S3 and S4 are closed simultaneously? o Perform Motor Control, H-Bridges LAB 2 H-Bridges with SPST Switches

14. DC to AC Converters

THE converter usually employed for single-phase power

PF and THD Measurement for Power Electronic Converter

Class D Power Amplifiers

DESIGN AND IMPLEMENTATION OF SINGLE PHASE INVERTER

Calhoon MEBA Engineering School. Study Guide for Proficiency Testing Industrial Electronics

Generalized Multilevel Current-Source PWM Inverter with No-Isolated Switching Devices

Driver Unit for Converter-Brake-Inverter Modules

SVPWM Rectifier-Inverter Nine Switch Topology for Three Phase UPS Applications

DHANALAKSHMI COLLEGE OF ENGINEERING DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING

BIDIRECTIONAL CURRENT-FED FLYBACK-PUSH-PULL DC-DC CONVERTER

ELG3336: Power Electronics Systems Objective To Realize and Design Various Power Supplies and Motor Drives!

Y-0035 POWER ELECTRONICS TRAINING SET

Control of buck-boost chopper type AC voltage regulator

Design and Simulation of Synchronous Buck Converter for Microprocessor Applications

Courseware Sample F0

VIRTUAL INSTRUMENT FOR CALCULATION OF UNBALANCE FACTORS THROUGHS FORMULAS GIVEN IN INTERNATIONAL STANDARDS AND REGULATIONS

( ) ON s inductance of 10 mh. The motor draws an average current of 20A at a constant back emf of 80 V, under steady state.

IN THE high power isolated dc/dc applications, full bridge

SCR Triggering Techniques Scientech 2703

Gate Drive Optimisation

A Subsidiary of Regal-Beloit Corporation. AC Inverter Terminology

ML4818 Phase Modulation/Soft Switching Controller

Power Electronics Power semiconductor devices. Dr. Firas Obeidat

Lecture 19 - Single-phase square-wave inverter

Conventional Paper-II-2013

Improvement of Electricity Distribution Services Using a DVR with a Constant DC Voltage Source Instaled in MV Connection Substations

DEVELOPMENT OF A GATE DRIVE WITH OVERCURRENT PROTECTION CIRCUIT USING IR2110 FOR FAST SWITCHING HALF- BRIDGE CONVERTER

Use of Advanced Unipolar SPWM Technique for Higher Efficiency High Power Applications

EQUIPMENT FOR THE ELECTRICAL ENERGY MEASUREMENT STUDY AT DIFFERENT TYPES OF CONSUMERS

AN ALGORITHM FOR THE ADAPTIVE CONTROL OF ANTI HAIL MISSILE LAUNCH RAMPS

Power Electronics (BEG335EC )

Transcription:

SPEED CONTROL OF DC MOTOR USING FOUR-QUADRANT CHOPPER AND BIPOLAR CONTROL STRATEGY TEGY Lecturer Eng. Ciprian AFANASOV PhD, Assoc. Prof. Eng. Mihai RAŢĂ PhD, Assoc. Prof. Eng. Leon MANDICI PhD Ştefan cel Mare University of Suceava Faculty of Electrical Engineering and Computer Science, Department of Electrotechnics REZUMAT. Lucrarea de faţă constă în studiul unui sistem de acţionare electrică pentru controlul vitezei motorului de curent continuu cu excitație ie separată utilizând un chopper cu comandă sincronă cu structura de tip punte H care asigură funcţionarea în patru cadrane a sistemului. Structura în punte H, H cu dispozitive semiconductoare controlabile nu este utilizată în electronica de putere numai pentru realizarea convertoarelor c.c. c.c. cu funcţionare în patru cadrane, această topologie fiind folosită de asemenea, pentru obţinerea invertoarelor, a redresoarelor PWM şi a filtrelor active monofazate. Pentru a putea fi studiată funcţionarea motorului de curent continuu în cele patru cadrane a fost construit întregul sistem de acţionare, acesta cuprinzând atât partea logică de comandă a tranzistoarelor de putere cât şi partea de forţă, convertorul realizat fiind bidirecţional şi reversibil Folosirea lui într-o o aplicaţie este cerută de o sarcină care trebuie să funcţioneze, la rândul ei, tot în patru cadrane. Pentru cazul concret al unei acţionări electrice cu motor de c.c. aplicaţia impune rotirea acestuia în ambele sensuri cu posibilitatea frânării din orice direcţie şi recuperarea energiei de mişcare. Cuvinte cheie: motor de curent continuu, chopper de patru cadrane, comanda sincronă, convertor in punte H. ABSTRACT. This paper presents the study of a electric drive system for DC motor speed control, with separate excitation using a full bridge chopper type structure and bipolar control strategy which function in four quadrants of the system. H bridge structure with controllable semiconductor devices is not used only to achieve DC - Dc power electronics converters that function in four quadrants, this topology is also used to produce the inverter, the PWM rectifier and the single phase active filter. In order to be studied DC motor operation in the four quadrants was built entire drive system, it containing the logical control of power transistors as well as the force. Achieved converter is bidirectional and reversible. The use of converter in an application is requested by a task that must be operate, in its turn, also in four r quadrants. For the specific case of a DC motor drives, application requires two-way way of rotating in any direction and possibility to recover braking energy of motion. Keywords: DC motor, four-quadrant chopper, synchronous control, H-bridge converter. 1. INTRODUCTION The issue of power by static converters and power electronics circuits is a topic of particular interest in light of developments in the electronics industry and the modernization of equipment in the field. Operation circuits and electronic devices requires the power supply voltage source. Huge progress made by power electronics and microelectronics in recent years have demanded the creation of voltage sources with high reliability, good performance, lightweight and low volume. Any DC machine needs to operateto be supplied with DC voltage. Typically this voltage has to be produced starting from the AC supply voltage. DC machines usually are not satisfied with a voltage obtained by simple filtration and recovery, requiring a continuous variation of it. Continuous change of the supply voltage can be done by changing the AC voltage through autotransformers before rectifier or after rectifier AC voltage through static converters in commutation. Modern devices that are equipped with power supply on the principle of PWM switching are known in the literature under the names of CHOPPER or SWITCH MODE POWER SUPPLY. The chopper are controlled commutation converters, which use in the force thyristors provided with extinguishing auxiliary circuits or completely controlled devices. Control of these devices, both the entrance time and for blocking their conduction is achieved only at well-defined points in time, hence the name of controlled commutation converters. The operating principle of their choppers-is: they transform a constant voltage in a pulse train, usually rectangular, whose duration and / or frequency can be changed by command, so the average voltage results, are adjustable. AGIR nr. 4/2013 octombrie-decembrie 1 253

INT. SYMPOSIUM ON ELECTRICAL ENGINEERING AND ENERGY CONVERTERS ELS 2013 These are assemblies that normally work at a frequency of 15-200kHz using a fast power transistor in the function of commutator. The transistor plays the role of a switch of the current absorbed from the rectifier connected to the network. Transistor leads only part of the operating cycle time at a specific frequency required. In this way, the consumer connection to the mains voltage, takes place in a limited time and therefore the current absorbed of the rectifier is discontinuous. As used in electric traction, the chopper-s enable regenerative braking of DC machine. Because of this, using chopper-s is widespread. Advantages of using chopper-s are: increased efficiency; flexibility in the command; low weight; small size; low time response. 2. FOUR-QUADRANT CHOPPER AND BIPOLAR CONTROL STRATEGY The four-quadrant chopper is made of a four singlequadrant choppers connected H-bridge, and four antiparallel diodes connected also in H-bridge. Circuit configuration ensure current circulation from the source to the DC motor, and from the machine to the power supply in the case of the generator regime. If we refer to the power P U I (U - output voltage; I -output current) results that the equipment allows electricity circulating in both directions both through reversing the current I and by reversing the polarity of voltage U. In that way converter is bidirectional and reversible. In figure 1 is represented full bridge chopper topology with IGBT transistor which includes two arms A and B. The arms are made of two IGB transistors, T1, T2 for arm A, and T3, T4 for arm B. Diodes D1 D2, D3 and D4 are mounted in antibaralel with each transistor. Power supply structure is made from a single source that provides continuous voltage Ud well filtered. Source must be as close to H bridge and also provides binding capacity Cd which in addition the role of the voltage filter has the important function to take the energy discharged from the field inductances of the load after each command to block transistors. The median point of the two arms are noted with A and B. These are the output terminals of the H-bridge structure between that is conected the active load of the converter. The converter output voltage is shown as, and the current with. Control of the transistors in each arm is made with a pair of complementary PWM width modulated signals. Dependent on how the commands are correlated, of the two arms A and B, may be put highlighted two strategies for controlling the H-bridge chopper: the PWM control with bipolar voltage switching the PWM control with unipolar voltage switching The four transistors of chopper are controlled simultaneously in all four quadrants. In the case of PWM control strategy with a bipolar voltage switching are controlled simultaneously, diagonally transistors from H-bridge: T1 with T4, respectively T2 with T3. So when will be ordered for opening pair (T1, T4) will be locked pair (T2, T3) and vice versa. Therefore for the four power transistors are only needed two width modulated control signals: PWM1 for the pair (T1, T4) and PWM2 for the pair (T2, T3). In practice are used complementary PWM signals with dead time. Control strategy is simple and easy to implement reason which is widely used in practice, although it is less efficient. For this command can be put into evidence four operating subcicli of H-bridge over a period of switching Tc. They are given by the four paths of output current i e in a cycle of operation. In figure 2 these paths are presented for PWM control strategy with a bipolar voltage switching. Fig. 1 Full bridge DC-DC converter with IGBT transistors Fig. 2 Currents trails of the four-quadrant chopper and bipolar control strategy 2 Buletinul AGIR nr. 4/2012 octombrie-decembrie 254

SPEED CONTROL OF DC MOTOR USING FOUR-QUADRANT CHOPPER AND BIPOLAR CONTROL STRATEGY Figure 3 shows the waveforms for a real case when taking into account the voltage drop in conduction devices. Waveform of voltage deviations u e, from the ideal form submitted become more strident as the U d voltage is low (of the order of volts or tens of volts). Since all four paths currents are present two semiconductor devices in conduction, transistor or diode, voltage drops occurs in the order of (2 to 6)V that may affect visible the waveform of the voltage u e, as shown in Figure 3. Fig. 4 Mechanical characteristicss for a a full bridge chopper and PWM control strategy with a bipolar voltage switching 3. THE STRUCTURE OF CONTROL CIRCUIT FOR IGBT POWER TRANSISTORS 3.1. PWM GENERATOR REALISED WITH DISCRETE CIRCUITS Fig. 3 The real waveforms corresponding to a full bridge chopper and PWM control strategy with a bipolar voltage switching It is noted that during operation, at times t on(t1) and Tc, output voltage of H bridge converter suddenly changes its polarity issue that led to the designation of PWM control strategy with a bipolar voltage switching. The advantages of using this type of chopper: In this type the command chopper is simpler because it simultaneously control all four transistor. Another advantage is that disappears the discontinued operating mode, therefore the characteristics are linear in all four quadrants. Figure 4 shows the mechanical characteristics for a a full bridge chopper and PWM control strategy with a bipolar voltage switching Triangular and rectangular voltage generator was made to the oscillator consists of two operational amplifiers LM741 under one integrator and one comparator with hysteresis (Fig. 5). Triangular voltage obtained in the first operational amplifier output will be applied to a comparator LM339 performing modulation in duration. In this way was made rectangular voltage generator to control the power transistor switch converter. By changing the value of the potentiometer P1 shall be made the output pulse frequency changes and through the modifying the value of potentiometer P2 is impulse change as a positive duration. The output voltage of this type of PWM signal generator is connected to the power switch transistor gate in four-quadrant chopper and bipolar control strategy. Control of IGBT transistor is made with two signals AH, BL (T1, T4) and BH, AL (T2, T3) For the electrical connection order to be performed between the signal generator and IGBT transistors was necessary to make a interface board that ensuring electronic link between the command and force. In figure 5 and figure 6 is represented the control circuit scheme for PWM generator with a bipolar voltage switching strategy. AGIR nr. 4/2013 octombrie-decembrie 3 255

INT. SYMPOSIUM ON ELECTRICAL ENGINEERING AND ENERGY CONVERTERS ELS 2013 Fig. 5 Control circuit scheme for PWM generator with a bipolar voltage switching strategy Fig. 6 Wiring of PWM signal generator 3.2. PWM signal adjustment circuit BOARD 2s SKYPER 32 PRO R PWM control signals of power transistors, are sent to the two drivers by means of a interface plate that provides the following functions: PWM signals are galvanically isolated; enables the establishment control mode for different configurations of transistors IGBT inverter; raise the drivers IGBT control signals from 5V to 15V; report optically presence of the control voltage; report optically the state of IGBT drivers; provides link with power sources of different circuits; provides start and stop of ATX type switching sources used in the power circuits. Galvanic isolation between control and force was made with performance optocouplers that have the ability to work at a frequency of several hundred khz. Since the output of the optocoupler is low was designed 4 Buletinul AGIR nr. 4/2012 octombrie-decembrie 256

SPEED CONTROL OF DC MOTOR USING FOUR-QUADRANT CHOPPER AND BIPOLAR CONTROL STRATEGY a circuit that raises to 15V signals, this value is necessary to the input PWM of IGBT drivers. Due to the facilities offered by the family of modules SEMIX and from the desire to realize a high power chopper which shall be used in different configurations we have used for its construction, two IGBT modules of the range SEMIX2s, IGBT modules with the name SEMIX302GB126HDs. The characteristics of this family lead to the realization of a compact inverter with low inductance. If it is shortened, and routes of connection wire on the continuous current so that they to have as little inductive character, resulting a reduction of spikes that occur in the process of switching of the IGBT transistors. Due to the direct connection of the PWM driver to the power module is obtained an optimal control of transistors and electrical noise and losses on connection wire and connectors are removed. Using the family modules SEMIX, entire design of the inverter is simplified significantly. connection to the neutral is necessary for some control strategies of the DC motor. The four-quadrant chopper is realized by using two arms of semiconductor elements in modular form. Each arm includes two high power IGBT transistors which in turn are connected in antiparallel with a diode. Nominal current the IGBT transistor is 200A in the case of longterm use regime, and a maximum current of 300A for a time of 10 seconds. Nominal voltage of transistors is 1200V. Same voltage and current values are also valid for diode. 4. EXPERIMENTAL RESULTS Experimental test bench in order to verify the operation of the full bridge chopper and PWM control strategy with a bipolar voltage switching is shown in fig. 8. Fig. 7 IGBT modules from the family SEMIX To control the two IGBT modules SEMIX302GB126HDs type, we chose an IGBT Driver offered by the company SEMIKRON. Driver's name is SKYPER 32 PRO R, an it is professional version and top of the range of the drivers for IGBT modules type chosen. Selected driver is used to control two IGBT transistors connected in half bridge. The control functions, galvanic separation and protection are integrated into driver. 3.3. Power circuit of full bridge four-quadrant chopper. The power circuit is composed from an constant voltage source and a four IGBT transistors connected in full bridge. Voltage source is made of a single-phase bridge rectifier and two 4700µF capacitors (450V) series. We used two capacitors connected in series in order to be created an artificial neutral point. The Fig. 8 Image with montage practically realized In figures below are presented waveforms for voltages and currents taken from the full bridge chopper at different values of the filling factor. In figure 9 and figure 10 is represented with yellow color the reference voltage in the form of a triangular signal on pin 6 of operational amplifier UA741. This signal is designed to establish the frequency of PWM control signal. From the probe 3 of oscilloscope was taken voltage command signal, signal that is designed to determine the value the filling factor of the PWM signal. Through comparison of the two signals described above we obtain the control signal of the IGBT transistor, signal that can be seen on channel 2 of the oscilloscope. AGIR nr. 4/2013 octombrie-decembrie 5 257

INT. SYMPOSIUM ON ELECTRICAL ENGINEERING AND ENERGY CONVERTERS ELS 2013 After the implementation of the dead time, with a circuit consisting of an RC group and a signal inverter, we have obtained a guard time of 14 µs. In figure 12 is represented the PWM signals with 14µs dead time. Fig. 9 Small filling factor of PWM signal Fig. 12 PWM signals with dead time. In figure 13 and 14 is represented with yellow color the motor speed, with blue the voltage at the motor terminals, with purple current through the motor and with green the current drawn from the source. Fig. 10 High filling factor of PWM signal In the case of figure 11, is represented the control voltage taken from terminal 13 and 14 of the integrated circuit LM339. It is noted that the dead time of the the control voltage of the first pair of transistors (T1, T3) and the entrance to the conduction of the second pair of transistors (T2, T4) is 0. Fig. 13 Power signals of the chopper when speed is positive. Fig. 11 Control signals without dead time Fig. 14 Power signals of the chopper when speed is negative. 6 Buletinul AGIR nr. 4/2012 octombrie-decembrie 258

SPEED CONTROL OF DC MOTOR USING FOUR-QUADRANT CHOPPER AND BIPOLAR CONTROL STRATEGY First figure is obtained when operating the machine in quadrants I and II, where speed is positive, ans second when we operating the machine in quadrants III and IV. 5. CONCLUSIONS After the experimental determinations the following conclusions to be drawn: the control circuit provides with success the transition of the machine in another quadrant from the motor regime to generator regime; for this type of chopper command is simple; intermittent operation mode disappears, therefore the characteristics are linear in all four quadrants; the use of converter in an application is requested by a task that must be operate, in its turn, also in four quadrants. BIBLIOGRAPHY [1] S. Muşuroi, D. Popovici, Acţionări electrice cu servomotoare. Timişoara: Editura Politehnică, 2006. [2] National Semiconductor, Op Amp Circuit Collection, Application Note 31, September 2002. [3] http://www.semikron.com [4] Trench IGBT Modules SEMiX302GB126HDs, Rev. 27 02.12.2008 by SEMIKRON. [5] Application Manual Power Modules, SEMIKRON International. [6] M. HERMWILLE, Plug and Play IGBT Driver Cores for Converters, Power Electronics Europe Issue 2, pp. 10-12, 2006. [7] SEMiX IGBT modules for fast, solder-free assemblies, SEMIKRON INTERNATIONAL GmbH, Nürnberg, Deutschland. About the authors Lecturer Eng. Ciprian AFANASOV, PhD Ştefan cel Mare University of Suceava email: aciprian@eed.usv.ro He was born in Suceava, Romania, in 1983 and received the Engineering degree in Electrical Engineering from the Stefan cel Mare University of Suceava, in 2007. The PhD degree was received in 2010 from the Gheorghe Asachi Technical University of Iasi. His main field of interest includes electrical drives and power electronics. Assoc. Prof. Eng. Mihai RAŢĂ, PhD Stefan cel Mare University of Suceava email: mihair@eed.usv.ro Graduated at the "Gheorghe Asachi" Technical University of Iasi, Electrotechnical Faculty. After finishing of the university he started to work at the Stefan cel Mare University of Suceava, Electrical Engineering Faculty, Electrotechnical Department. His research topics are power electronics, digital control of electrical drives, vibromotors and applications of PLC. Assoc. Prof. Eng. Leon MANDICI, PhD. Stefan cel Mare University of Suceava email: lmandici@eed.usv.ro Graduated at the Gheorghe Asachi Technical University of Iasi, Faculty of Electrotechnics. He received the Ph.D degree in electrical engineering from "Gheorghe Asachi" Technical University of Iasi, Romania, in 1998. He is an Associate Professor with the Electrical Engineering and Computer Science Faculty, University Stefan cel Mare from Suceava, Romania. His research topic is electrical and electromechanical drives systems. AGIR nr. 4/2013 octombrie-decembrie 7 259