• Mohammad-Reza  Rafiei 
    • Ph.D. 
    • Assistant Professor
    • Faculty  of Electrical Engineering.
    • Sahand University of Technology
    • Tabriz,Iran
    • E-Mail Address :  [email protected] 

PERSONAL

Date of Birth: 1969

Place of Birth: Tehran, Iran

Phone: (+98) 911 512 6561


EDUCATION:

Ph.D. (1995- 2000), Electrical Engineering,  Ferdowsi University of Mashhad, Mashhad, Iran, Outstanding Degree (Excellent Graduate). Advisors:


 
Dr. Reza Ghazi, Dept. of Electrical Eng., Ferdowsi University of Mashhad, Mashhad, Iran

 Dr. Hamid A. Toliyat,  Dept. of Electrical Eng., Texas A&M University , Texas, USA.

M.Sc. (1992-1995), Electrical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran, 1995, (Excellent Graduate)

B.Sc (1987-1991) , Electrical Engineering (Electronics), Sistan & Baluchestan University, Zahedan, Iran, 1991,  (Excellent Graduate)

 


RESEARCH  INTERESTS:

·         Control Systems:  H_inf Robust Control, Chaotic Systems, Intelligent Systems, Fuzzy Logic based Control, Neural Networks.

·        Modeling & Control Techniques of Power Electronic Systems

·         Power Electronics:  All Areas including Converter Circuits and Topologies, PWM Strategies, Modeling and Control of Power   Converters, Applications to Power Systems.

·        Power Quality, Harmonics, and Active Power Filters

·        Computer Science and Engineering

PRIZES & HONORS:

·        Author of one of the outstanding papers recognized in the ICEE-95, Iran.


    LECTURES AND SHORT COURSES


A. Electrical Engineering (Undergraduate Level):

· Modern Control Systems  (State Space Modeling, Linearization, Controllability, Observability, Realization Theory, Stability, State Feedback, Optimal Observers, Optimal Control) .

·  Linear Control Systems ( Time & Frequency Domain Analysis and Design of Control Systems, State Space) .

·  Instrumentation ( Measurement of  : Position, Stress , Strain , Pressure , Height , Heat, Velocity. Optical Sensors,   Microwave Sensors, Radioactive Sensors,  ...) .

· Industrial Electronics

·  Engineering Statistics

·  Engineering Mathematics

·  Applied Electronics

·  Electric Measurements

·  Electronics Basis

·  Control Basis

·  Communication Basis

·  Electronics ( Analogue , Digital ,and Industrial)

 

B. Computer Science & Eng. (Undergraduate Level, Azad University, Birjand, Iran):

·  Data Base (EER and NIAM Models, Relational Data Bases, Relational  Algebra,  SQL)

·  File Systems and Structures ( Records, Blocking Techniques, Disk and Tape Analysis.  File Structure: Pile, Sequential, Indexed Sequential, Multi Indexed, Direct Files,...)

·  Operating Systems( OS Layers, Process Management, Storage Management, Virtual Storage, Paging and Segmentation,  Resource Management, Dead Locks,...)

·  Computer Aided Design (AutoCAD,  Matlab and their applications )

·  Data Structure (  Data Structures and Their Applications : Lists, Arrays, Queues, Stacks, Binary Trees . Algorithms  and Their Complexity : Quick Sort, Bubble Sort, Heap Sort,  Binary Search, ....Data Structure with C )

·  Special Topics in Computer Science ( Matlab and Scientific Languages)

· Computer Networks( OSI and TCP/IP Models, Physical Layer: Pulse encoding/Decoding ,Shannon and Nyquist Theorems,  TP,UTP, Coaxial, Fiber Optics, Microwave and Satellite Systems. Data Link Layer: Farming Techniques,  Flow Control, Data Link Layer Protocols, Sliding Window Protocols, HDLC Protocol. Error Encoding/Decoding, CRC and Hamming Codes. Network Layer: Circuit Switching, Virtual Circuit Switching, Packet Switching, Routing Algorithms, Traffic Control, ...)

 

C. Graduate Level (Khorasan Higher Education Institute, Ministry of Energy, Iran):

·  Mathematics & Statistics

·  Advanced Engineering Mathematics (Advanced Linear Algebra, Nonlinear and Time Varying  Differential  Equations,     Advanced  Fourier Transform, Optimization Techniques)

·  Power Electronics ( Power Devices, Analysis and Design of AC/DC, DC/AC,DC/DC, and AC/AC Converters, PWM Techniques ,Applications to Power Systems,.. .)

·  Special Loads ( Harmonics, Voltage Stability, Power Definitions in Non Sinusoidal Conditions, Arc Furnaces, Induction Heating, Power  Converters, Transient Response of Electric Machines, Constant Power /Energy/Current Loads, Harmonics and Reactive  Power  Compensation, SVCs, Active Power Filters, Thyristor Switched Capacitors)


D. Short Courses (In Industries):

· Neka Power Station, Iran, 1998, presented a short course on Power Electronics (51 hours) for Electrical Engineers.

· Sistan & Baluchestan Regional Power Company, Iran, 1998, presented a short course on Power Electronics (51 hours) for Electrical Engineers.

· Sistan & Baluchestan Regional Power Company, Iran, 1998, presented a short course on Design of Distribution Systems(20 hours) for Electrical Engineers.

· Sistan & Baluchestan Regional Power Company, Iran, 1997, presented a short course on Safety against Electric Shock (18 hours) for Electrical Engineers.

· Sistan & Baluchestan Regional Power Company, Iran, 1998, presented a short course on Safety against Electric Shock (18 hours) for Electrical Engineers.

· Toos Power Station, Iran, 1998, presented a short course on Voltage Control and Reactive Power Compensation (51 hours).

· Toos Power Station, Iran, 1997, presented a short course on Electronic Components of Control Systems (34 hours).

· Khorasan Regional Power Company, Iran, 1998, presented a short course on Special Loads (15 hours) for Electrical Engineers.

 

E. Lab Supervising /Founding:

· Industrial Electronics Lab.

· Electronics Lab.

· Control Systems Lab.


 

 F. Teaching Assistantship (1989-1992)

· Electronics 1( Fundamental of Electronic Circuits and Devices)

· Electronics 2 ( FETs, Feedback Amplifiers, Power Amplifiers, OP Amps and their Applications, Low Frequency Response of  Amplifiers, Voltage Regulators)

· Electronics 3 (High Frequency Electronics : PI Model of Transistor, High Frequency Response of Wideband Amplifiers , Compensation  Techniques)

· Communication Circuits ( Oscillators, Narrowband Amplifier Systems, Modulators, Demodulators, Noise Analysis, PLLs,    Matching Circuits, ...)

· Communication Systems 1

· Electric Circuits 1

· Computer Elements Lab.


 


RESEARCH  WORKS & PROJECTS:

 

  1. Comprehensive Analysis of Application of Adaptive Control Based Active Power Filter System for Compensating the Nonlinear Loads, Vice President in Research, Sahand University of Technology, Iran, 2001. PI: S.M.R. Rafiei, 35,000,000 Rls.
  2. Load Management in Industrial Towns of Iran (Power Quality, Harmonics, Load Forecasting, Voltage and Dynamic Stability, Load Curve Improvement,...), National Research Project of Iran , Grant No. 2351,Scientific Research Board of Iran ,Vice President of Islamic Republic of Iran ,Iran, 1999. PI: S.M.R. Rafiei, Co-PIs: A. Gharahveicy, and M.A. Validad.115, 000,000 Rls.
  3. Application of Fuzzy Controller for Stabilizing The Switching Behavior of The dc/dc PWM Converters and Sub harmonics and Chaos elimination, Vice President in Research, Ferdowsi University of Mashhad, Iran,  1999. PI: R. Ghazi, Co-PI: S.M.R. Rafiei.
  4. Design and Implementation of a Microprocessor Based Active Power Filter, Iranian Ministry of Energy Research Board, Iran, 1997. PI: H.A. Toliyat, Co-PI:R. Ghazi, Co-PI:S.M.R. Rafiei,
  5. Load Management in Industrial Towns, Phases I&II, Khorasan Regional Power Company, Iran, 1997. PI: S.M.R. Rafiei, Co-PI:. A. Gharahveicy,
  6. Load Management in Industrial Towns, Phases III&IV, Khorasan Regional Power Company, Iran, 1998. PI:S.M.R. Rafiei.
  7. A Microprocessor Based Central Telephone, Dept. of Electrical Engineering, Sistan & Baluchestan University, 1991.
  8. Medium Power Switching Regulator, Dept. of Electrical Engineering, Sistan & Baluchestan University, 1990.

BOOKS:

 

1.Translation:  “ Feedback Control Theory “ (Under Translation).



JOURNAL PAPERS:

  1. S.M.R. Rafiei, H.A. Toliyat, and R. Ghazi,  "An Optimal and Flexible Control Strategy For Active Filtering and Power Factor Correction Under Non Sinusoidal Line Voltages, " IEEE Transactions on Power Delivery, Vol. 16, No. 2, April 2001, pp 207-305.
  2. R. Ghazi, S.M.R. Rafiei,  and H.A. Toliyat, "A Programmable Control Strategy For Optimal and Flexible Active Filtering and Power Factor Correction Under Non Sinusoidal Line Voltages, " Has been Accepted for Publication  in the Iranian Journal of Science & Technology (ijst) , Shiraz University, Shiraz, Iran , ISSN 0363 - 1307.
  3. S.M.R. Rafiei, R. Ghazi, and H.A. Toliyat, "IEEE-519 Based Real Time and Optimal Control of Active Filters  Under Non-Sinusoidal Line Voltages Using Neural Networks, " Has been Accepted for Publication in  the IEEE Transactions on Power Delivery.


 



CONFERENCE PAPERS (Power Electronics/Control Systems/Power Quality):



  1. S.M.R. Rafiei, R. Ghazi, and H.A. Toliyat, " Application of Neural Networks Based Real Time and Optimal Control of Active Power Filters Under Three-Phase Non-Sinusoidal /Unbalance Voltages,” To be presented at  the ten-th Iranian Conference on Electrical Engineering (ICEE-2002), Tabriz University, Tabriz, Iran, 2002.
  2. S.M.R. Rafiei, R. Ghazi, and H.A. Toliyat, " Real Time and Optimal Control of Programmable Active Power Filters for Harmonic Compensation and Power Factor Optimization in Non-Sinusoidal Line Voltages Using Neural Networks,"  , eight-th Iranian Conference on Electrical Engineering (ICEE-2000), Isfahan University of Technology, Isfahan, Iran, 2000.
  3. S.M.R. Rafiei, A.A. Gharahveicy, M.H. Javidi, and M.A. Validad, "An Algorithm for Optimizing The Load Curve of Industrial Towns,"  , The 14-th International Conference on Power Systems (PSC-99), Iran Energy Research Center, Tehran, Iran, 1999.
  4. S.M.R. Rafiei, R. Ghazi, and H.A. Toliyat, "New and Programmable Control Strategy for Active Filters Under Non-Sinusoidal Line Voltages Using Virtual Voltages, "  , The 14-th International Conference on Power Systems (PSC-99), Iran Energy Research Center, Tehran, Iran, 1999.
  5. S.M.R. Rafiei, R. Ghazi, H.A. Toliyat, "Review of Research Trends in Active Filtering for Harmonic Elimination and Power Quality Improvement,"  , Proceedings of 13-th International Conference on Power Systems (PSC-98), Iran Energy Research Center, Tehran, Iran, 1998.
  6. S.M.R. Rafiei, R. Ghazi, Control of Instability and Chaos in Electronic Systems Using Fuzzy Logic Based Controllers,  , Proceedings of 3-th Seminar on the Differential Equations and Dynamical Systems, Zanjan Higher Education Center, Zanjan, Iran, 1999.
  7. S.M.R. Rafiei, M. B. Menhaj, " Design of A Self Tuning Adaptive Controller for dc/dc CUK Converter using  H_Inf Robust Controller and Variable Rate Sampling RLS Identification Method, "  , Proceedings of Sixth Iranian Conference on Electrical Engineering (ICEE-98), Khajeh Nasir Toosi University, Tehran, Iran, 1998.
  8. S.M.R. Rafiei, R. Ghazi, H.A. Toliyat, "Modeling and Digital Control of Current Regulated PWM with Reduced Sampling Frequency-Experimental Results,"  , Proceedings of Sixth Iranian Conference on Electrical Engineering (ICEE-98), Khajeh Nasir Toosi University , Tehran, Iran, 1998.
  9. S.M.R. Rafiei, R. Ghazi, H.A. Toliyat, "Design and Fabrication of Active Power Filter using Narrow-Band IIR Digital Filter with Modified Phase Characteristics,"  , Proceedings of Sixth Iranian Conference on Electrical Engineer(ICEE-98), Khajeh Nasir Toosi University , Tehran, Iran, 1998.
  10. S.M.R. Rafiei, R. Ghazi, H.A. Toliyat, "Modeling and Digital Control of Current Regulated PWM with Reduced Sampling Frequency-Theory,"  , Proceedings of Fifth Iranian Conference on Electrical Engineering (ICEE-97), Sharif University of Technology, Tehran, Iran, May 7-9, 1997.
  11. S.M.R. Rafiei, and M.R. Jahed-Motlagh, "Design of Characteristics Loci Based Multivariable Controller for Switched Mode SVCs, "  , Proceedings of Fifth Iranian Conference on Electrical Engineering (ICEE-97), Sharif University of Technology, Tehran, Iran, May 7-9, 1997.
  12. S.M.R. Rafiei, A.A. Gharahveicy, and M.A. Validad, " Effect of Power Electronic Systems on Optimizing the Consumption of Electric Power - A Review, " Electric Energy Management Seminar, Khorasan Regional Power Company and Iranian Ministry of Energy, Mashhad, Iran , 1996.
  13. R. Asgharian, and S.M.R. Rafiei, " Control of PWM dc/dc Converters using H_Inf Robust Controllers,"  , Proceedings of the Third Iranian Conference on Electrical Engineering (ICEE-95), University of Science and Technology, Tehran, Iran, May 15-18, 1995.
  14. R. Asgharian, S.M.R. Rafiei, and A. Hashemi-Attar, " Compensation of Structured Uncertainties on the modeling of Switched Mode PWM dc/dc Converters using Miu Analysis and Synthesis Approaches, "  , Proceedings of the Third Iranian Conference on Electrical Engineering (ICEE- 95), University of Science and Technology, Tehran, Iran, May 15-18, 1995.
  15. R. Ghazi, H. A. Toliyat, S.M.R. Rafiei, "A Fuzzy-Genetic Pulse Width Modulation for Active Power Filters," Proceedings of the IEEE/ Stockholm Power Tech, Stockholm, Sweden, June 18-22, 1995, pp. 267-272.
  16. S.M.R. Rafiei, H.A. Toliyat, R. Ghazi, "A New Method for Harmonic Identification Using Digital Filters,"  , Proceedings of the Third Iranian Conference on Electrical Engineering (ICEE -95), University of Science and Technology, Tehran, Iran, May 15-18, 1995, pp. 331-338.
  17. R. Ghazi, H.A. Toliyat, S.M.R. Rafiei, "A Simple Fuzzy Logic Based Modulator for Sinusoidal PWM Inverters," Proceedings of the Third Iranian Conference on Electrical Engineering (ICEE- 95), University of Science and Technology, Tehran, Iran, May 15-18, 1995, 29-35.
  18. S.M.R. Rafiei, and H.A. Toliyat, "Instability and Chaos in Buck Converters- Two Dimensional Mapping," Proceedings of the Second Iranian Conference on Electrical Engineering (ICEE-94), Tarbiat Modaress University, Tehran, Iran, 1995.
  19. S.M.R. Rafiei, H.A. Toliyat, and R. Ghazi, "A Fuzzy Pulse Width Modulator for Power Converters," Proceedings of the International Conference on Application of Fuzzy Systems (ICAFS-94), University of Tabriz, Tabriz, Iran, Oct. 14-17, 1994, pp. 101-110.
  20. H.A. Toliyat, and S.M.R. Rafiei, "Analysis and Compensation of Nonlinear Systems in Power Electronics,"  , Proceedings of the First Iranian Conference on Electrical Engineering (ICEE-93), Amir-Kabir University of technology, Tehran, Iran, May 18-21, 1993.

  Comment:

1. ICEE is a creditable annual conference on Electrical Engineering at Iran that is supported by IEEE, IEE, all the Iranian Universities and Research Centers and Industrial ministries.


SERVICES:

·  Reviewer for the IEEE Transactions on Power Delivery

·  Reviewer for the IEEE Transactions on Energy Conversion

 

 ·Member of Selection Committee, Faculty of Electrical Engineering, Sahand University of Technology.

·         Member of Informatics Board, Sahand University of Technology.

·        Reviewer for the Iranian Journal of Science & Technology (ijst) , Shiraz University, Shiraz, Iran , ISSN 0363 - 1307.

·        Reviewer for the Journal of Engineering Faculty of Ferdowsi University of Mashhad, Mashhad, Iran

·         Reviewer for the 14-th International Conference on Power Systems (PSC-99), Iran Energy Research Center, Tehran, Iran, 1999.

·        Reviewer for the 10-th Iranian Conference on Electrical Engineering  (ICEE-2002), Tabriz, Iran.

·         Member of  IEEE- Iran branch.

·         Assistant Professor , Department of Computer & Electrical Eng., Azad University of Birjand, Birjand, Iran (Sept. 2000-Feb. 2001).

·         Lecturer, Department of Computer & Electrical Eng. Azad University of Birjand, Birjand, Iran (Jan 1998- Sept 2000).
 

SOFTWARE & PROGRAMMING SKILLS

·        C

·        ASSEMBLY

·        BASIC

·        FORTRAN

·        SQL

·        MATLAB/ SIMULINK

·        AUTO CAD

 


Title of Ph.D. Dissertation:

Optimal and Flexible Strategy for Adaptive Control of Active Filters Under Non-Sinusoidal Line Voltages


 
 Abstract :

    This Dissertation gives a new insight into the concept of load compensation under distorted voltages.  Achieving both unity power factor (UPF) and perfect compensation of current harmonics are not possible where a competition will arise between these two important factors.  Through evaluating the present control strategies, a generalized, optimal, and flexible control  strategy (OFC) for harmonic compensation of utility lines is proposed. The proposed control strategy, which provides a unified and highly flexible compensation framework has the ability of programming for perfect current harmonics compensation, or (UPF) accomplishment, or other newly defined objectives such as maximizing the power-factor subject to some adjustable constraints on the level of current harmonics and unbalancing via an on-line optimization algorithm.  The strategy can fulfill the IEEE-519 standards requirements, while guaranteeing the best achievable power factor and optimum required rating for the compensator.  A fast and simple version of OFC strategy has been successfully proposed and realized using neural networks. The optimization algorithm is replaced by a neural network based system that is learned off-line and has the real time realization capability. Theoretical concepts and practical features of the proposed control strategies have been shown through extensive simulation studies using MATLAB/SIMULINK programs.

Key Words: Distorted voltage, harmonics, power factor, active filter, flexible compensation strategy, optimization, real time control, neural networks.

Advisors:

1.      Dr. Reza Ghazi, Dept. of Electrical Eng., Ferdowsi University of Mashhad, Mashhad,Iran

2.       Dr. Hamid A. Toliyat,  Dept. of Electrical Eng., Texas A&M University , Texas,USA.

 


 

Title of Master of Science Thesis :

Harmonic Identifying and Compensating Using Active Filters Controlled by Fuzzy Logic Based PWM Modulation.

Supervisors:

1. Dr. Hamid A. Toliyat,  Dept. of Electrical Eng., Texas A&M University , Texas, USA.
2. Dr. Reza Ghazi, Dept. of Electrical Eng., Ferdowsi University of Mashhad, Mashhad, Iran

 

 

Abstract :

            Nonlinear Loads produce non-sinusoidal currents in the power system. Theses harmonics cause many difficulties such as reducing the power factor and interference on communication and control systems. Many efforts have been performed to reject these unfavorable current components and the modern compensation strategies are based on using the active filters. The two main parts of an active filter are:

            - Harmonic Detector System.

            - Inverter Based Compensator System.

Detector system separates unfavorable part of the load current, harmonics and/or reactive current and then this current is compensated by the compensator system. Usually, the compensator system is a Current Regulated PWM Inverter, which has the ability of reproducing the detected currents. This inverter injects the identified current to the power network in anti-phase direction and thereby clears the source current from the harmonics and other undesired currents. From both the theoretical and practical views each system has been of interesting research topics in the past three decades.

            This thesis is a comprehensive research on the “ Active Filtering”. Enough attention has been paid on introducing the essential concepts, reviewing the previously published methods, and investigating the advantages and weaknesses of each. In the detection field, evaluating the present method such as  p-q theory based method which is state of the art, a new method based on the p-q theory, and by using the IIR digital filters has been proposed and its superiority over the classical methods has been shown by digital computer simulations.

Fuzzy Logic Based PWM Strategies:

Presenting the concept of Fuzzy Logic Based PWM Schemes (FPWM)is the main object of this thesis. The proposed schemes which are on-line but optimal PWM Strategies were successfully used for compensating the harmonics. FPWM systems can be programmed for optimizing the performance of inverter output waveform i.e.  reducing the THD or DF and switching loss of inverter.

Several new Fuzzy Logic Based PWM systems such as Centroid Based and Equal Area Fuzzy PWM have been proposed and their superiority over conventional PWM systems has been shown. Evaluating criteria are Total Harmonic Distortion (THD) and Distortion Factor (DF) of the inverter output current. Also for optimizing the Fuzzy Modulators the Genetic Algorithms the well-known numerical optimization methods have been used. Also the system transient response and its performance in over modulation conditions have been analyzed.

Closed Loop Digitally Controlled Current Regulated PWM Inverters:

Before using the proposed Fuzzy PWMs in a practical closed loop Current Regulated PWM (CRPWM) system for compensating the harmonics, because of digital nature of fuzzy modulators it was necessary to perform an in depth  separate research work on digital control of CRPWM system. This research led to some new important results. The interesting results were presented as a new theorem on sampling rate of PWM signals in digital control of CRPWM systems where the feedback signal contains a large amounts of high frequency ripples due to switching behavior of the inverter .In contrast with classic sampling theorem that says the sampling frequency should be higher than twice the signal bandwidth, further studies about the PWM signals showed that in the case where the PWM strategy is double edged and symmetric the sampling frequency can be reduced to be equal to the switching frequency of the inverter. The proposed theorem was analytically proved in the frequency domain and successfully verified by both the digital computer simulation and experiments on a practical system in laboratory. Also for adapting the under experiment system to the theoretical conditions some modifications were performed in the practical system. for example, because of Opto -Coupler and power devices delay we made to perform the delayed sampling techniques. Experimental results successfully certified the presented theories and the performance of the several PWM techniques such as natural sampling and regular sampling (both single edge and double edge) were practically examined and compared. This Theoretical & practical results clearly showed the importance and advantages of symmetric PWM techniques.

Closed Loop Optimal Control Of CRPWM Inverter By Fuzzy PWM Strategies:

According to the results of previous sections, the  proposed Equal Area Fuzzy PWM, which is a symmetric PWM strategy, was selected to be used in the closed loop CRPWM system. Optimal control of the closed loop system has been attended. A hybrid objective function, containing a term concerns the THD of inverter output and a term affected by the transient and steady state response of the closed loop system has been defined. Then, optimizing the Fuzzy PWM System was performed by using the Genetic Algorithms and the resulting system has both the optimal signaling performance (THD)  and optimal transient and steady state characteristics.

 

The Passed  Courses In The Graduate Programs:

Control Field:
Modern Control Systems :     Dr. Toliyat, Senior Member, IEEE
Optimal Control Systems :    Dr. Vahidian- Kamyad
Stochastic Control Systems :     Dr. Modir- Shanechi, Senior Member, IEEE
Digital Control Systems :     Dr. Asgharian
Multivariable Control Systems : Dr. Jahed-Motlagh
H_infinity Robust Control Systems :  Dr. Asgharian
Non-Linear Control Systems :     Dr. Modir- Shanechi, Senior Member, IEEE
Adaptive Control Systems :     Dr. Menhaj
Neural Networks :     Dr. Mirsalehi, Senior Member, IEEE 

Reactive Power Control in Power Systems :     Dr. Ghazi
Nonlinear Dynamics of Power Systems : Dr. Modir -Shanechi, Senior Member, IEEE

Power Field :
Power Electronics:     Dr. Toliyat, Senior Member, IEEE
General Theory of Electric Machines :     Dr. Toliyat, Senior Member, IEEE
Electric Machines III (Synchronous Machines) :  Dr. Toliyat, Senior Member, IEEE
Power System Analysis I :     Dr. Ghazi
Power System Analysis II :Dr. Modir- Shanechi, Senior Member, IEEE

Mathematics Field:
Stochastic Processes :     Dr. Molavi, Senior Member, IEEE
Linear and Nonlinear Programming :     Dr. Taghizadeh
Real Analysis I :     Dr. Niknam
Real Analysis II :     Dr. Niknam
 

 



References :

1. Dr. H.A. Toliyat, Dept of Electrical Engineering, Texas A&M University, U.S.A.(email : [email protected])
2.
Dr. R. Ghazi,  Dept of Electrical Engineering, Ferdowsi University of Mashhad, Iran. Po. Box   91775-1111     (email: [email protected], Home Tel : 0098 511 7682412)
3.
Dr. Javad Mahdavi, Dept of Electrical Engineering, Sharif University of Technology, Tehran ,Iran.(email: [email protected])
4. Dr. Jalil Rashed -Mohassel,  Dept of Electrical & Computer Engineering,  University of Tehran, Tehran, Iran.(email: [email protected])
5. Dr. M.H. Menhaj,  Dept of Electrical Engineering, Amir Kabir  University of Technology, Tehran, Iran.

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