Faculty of Electrical Engineering / POWER SYSTEMS AND AUTOMATIC CONTROL / TECHNOLOGY PROCESS CONTROL

Course:

TECHNOLOGY PROCESS CONTROL/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
5126	Obavezan	1	5	3+0+1

Programs	POWER SYSTEMS AND AUTOMATIC CONTROL
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 3 sat(a) theoretical classes 1 sat(a) practical classes 0 excercises 2 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Electrical Engineering / POWER SYSTEMS AND AUTOMATIC CONTROL / MODELING AND SIMULATION OF DYNAMIC SYSTEMS

Course:

MODELING AND SIMULATION OF DYNAMIC SYSTEMS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
5127	Obavezan	1	4.5	2+0+1

Programs	POWER SYSTEMS AND AUTOMATIC CONTROL
Prerequisites	No prerequisites
Aims	Course objectives are to teach students the concepts of modeling of dynamic systems. Theoretical knowledge gained in classes in the field of modeling, students will complete the active work of the MATLAB software and its parts Control System Toolbox and Simulink, and so to perform simulations of the models entered.
Learning outcomes	Upon completion of this course the student will be able to: 1.Recognize and explain the purpose and importance of modeling and simulation of dynamic systems; 2. Determine and implement different methods for modeling linear electrical, mechanical and electromechanical systems in different domains (time, complex and frequency); 3. Enumerate, describe and use basic methods for modeling the nonlinear system (linearization within the operating point in state space modeling); 4. Define and critically evaluate different methods of numerical simulation of continuous systems on computers (Euler, Tustin, Runge-Kutta, etc.); 5. Simulating dynamic systems using computer support (Matlab and Simulink)
Lecturer / Teaching assistant	Prof. dr Božo Krstajić Mr Žarko Zečevic
Methodology	Lectures, laboratory exercises on computer, independent assignments and consultations

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction to modeling and simulation of dynamic systems (objectives, types of models, simulation methods, ..)
I week exercises	Selected problem for illustration of the theoretical concept.
II week lectures	Models of dynamical systems.
II week exercises	Selected problem for illustration of the theoretical concept.
III week lectures	Model analysis.
III week exercises	Selected problem for illustration of the theoretical concept.
IV week lectures	Control toolbox application (LTI objects)
IV week exercises	Selected problem for illustration of the theoretical concept.
V week lectures	Models responses (time and frequency).
V week exercises	Selected problem for illustration of the theoretical concept.
VI week lectures	Validation of the model and modeling errors.
VI week exercises	Selected problem for illustration of the theoretical concept.
VII week lectures	I prelims.
VII week exercises	I prelims.
VIII week lectures	Simulation methods.
VIII week exercises	Selected problem for illustration of the theoretical concept.
IX week lectures	Software packages for simulation - Simulink
IX week exercises	Selected problem for illustration of the theoretical concept.
X week lectures	Simulation of electrical systems
X week exercises	Selected problem for illustration of the theoretical concept.
XI week lectures	Simulation of dynamic systems
XI week exercises	Selected problem for illustration of the theoretical concept.
XII week lectures	Simulation of electromechanical systems.
XII week exercises	Selected problem for illustration of the theoretical concept.
XIII week lectures	Simulation of the system components with fluid.
XIII week exercises	Selected problem for illustration of the theoretical concept.
XIV week lectures	II prelims.
XIV week exercises	II prerlims.
XV week lectures	Controller design using Simulink
XV week exercises	Selected problem for illustration of the theoretical concept.

Student workload	weekly 4,5 ECTS x 40/30 = 6 hours. Structure: 2 hours lectures, 2 hours laboratory and 2 hours self learning and consultation
Per week	Per semester
4.5 credits x 40/30=6 hours and 0 minuts 2 sat(a) theoretical classes 1 sat(a) practical classes 0 excercises 3 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 0 minuts x 16 =96 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 0 minuts x 2 =12 hour(s) i 0 minuts Total workload for the subject: 4.5 x 30=135 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 27 hour(s) i 0 minuts Workload structure: 96 hour(s) i 0 minuts (cources), 12 hour(s) i 0 minuts (preparation), 27 hour(s) i 0 minuts (additional work)
Student obligations	Students are required to attend classes, do homework and tests, laboratory exercises and both prelims.
Consultations	Once a week for 2 hours face to face and, if necessary, by email permanently.
Literature	Devendra K. Chaturvedi "Modeling and Simulation of Systems using MATLAB and Simulink", CRC Press, 2010. Antić.D.: Priručnik za modeliranje i simulaciju dinamičkih sistema, ETF Niš Hadži-Pešić D.: Modelovanje i simulacija, VEŠ, Beograd 2005
Examination methods	2 prelims (total 45%) and are prerequisite for final exam Lab Project and homeworks 10% Final exam 45%
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Electrical Engineering / POWER SYSTEMS AND AUTOMATIC CONTROL / POWER SYSTEM ANALYSIS II

Course:

POWER SYSTEM ANALYSIS II/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
5161	Obavezan	1	6	2+2+0

Programs	POWER SYSTEMS AND AUTOMATIC CONTROL
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 4 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Electrical Engineering / POWER SYSTEMS AND AUTOMATIC CONTROL / HIGH VOLTAGE TECHNIQUE

Course:

HIGH VOLTAGE TECHNIQUE/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
5162	Obavezan	1	6	3+1+1

Programs	POWER SYSTEMS AND AUTOMATIC CONTROL
Prerequisites	There are no prerequisites with other subjects.
Aims	The course is designed to familiarize students with the basic concepts, principles, and characteristics of high voltage engineering, focusing on the causes, generation, and effects of high-intensity electric fields, various types of overvoltages, as well as methods for overvoltage protection of elements in power systems. Through calculation exercises, students gain a closer understanding of the material presented in lectures by solving practical problems.
Learning outcomes	Upon completion of this course, the student will be able to: 1. Recognize the role and explain and analyze general concepts related to the issues associated with high voltage actions on the surrounding environment. 2. Explain and analyze the electric field in the vicinity of different electrode shapes and differentiate methods for its calculation. 3. Interpret and classify the properties and characteristics of various types of dielectrics applied in electrical power systems. 4. Identify and explain discharge mechanisms in different dielectrics and methods for sizing insulation. 5. Explain the origin, nature, impacts, and effects of various types of overvoltages that may occur in electrical power systems. 6. Recognize different methods and perform necessary calculations for various transient processes. 7. Explain the types and application of overvoltage protective devices, compare their characteristics and capabilities, and make their selection. 8. List and explain the basic principles and methods of insulation coordination.
Lecturer / Teaching assistant	Vladan Radulović, PhD, full professor, Snežana Vujošević, PhD, assistant professor.
Methodology	Lectures, computational exercises.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	General concepts related to issues in HV engineering. Accurate and approximate methods for calculating electric fields.
I week exercises	Calculation of electric field for simpler geometric shapes of electrodes.
II week lectures	Experimental and approximate determination of the shape and strength of the electric field.
II week exercises	Calculation of electric field in the case of arbitrary electrode shapes.
III week lectures	Dielectrics. Classification, properties, basic electrical characteristics of dielectrics.
III week exercises	Calculation of the effects of the electric field on dielectrics.
IV week lectures	Discharge mechanism in gaseous dielectrics.
IV week exercises	Determination of the breakdown voltage of a dielectric.
V week lectures	Discharge mechanism in liquid and solid dielectrics.
V week exercises	Calculation of conditions at the interface of two dielectrics.
VI week lectures	General concepts about the occurrence and nature of overvoltages. Types, characteristics, impacts, and effects of overvoltages.
VI week exercises	Determination of withstand voltages of insulation with respect to overvoltages.
VII week lectures	Atmospheric overvoltages. Propagation of overvoltage waves.
VII week exercises	Calculation of the characteristics of overvoltage wave propagation.
VIII week lectures	Methods for calculating overvoltages. Petersons rule.
VIII week exercises	Calculation of overvoltages using Petersons rule.
IX week lectures	Lattice diagram method.
IX week exercises	Calculation of overvoltages using the lattice diagram method.
X week lectures	Bergerons method.
X week exercises	Calculation of overvoltages using Bergerons method.
XI week lectures	Switching overvoltages in power systems.
XI week exercises	Determination of switching overvoltage values using Laplace transformation.
XII week lectures	Temporary overvoltages in power systems.
XII week exercises	Calculation of temporary overvoltages.
XIII week lectures	Types, methods, and principles of overvoltage protection. Protective devices.
XIII week exercises	Selection of appropriate overvoltage protection.
XIV week lectures	Surge arresters, types, classifications, and selection methods.
XIV week exercises	Selection of surge arresters in the power system.
XV week lectures	Overvoltage protection of ground-based facilities.
XV week exercises	Calculation of the protective zone for the lightning protection systems air termination network.

Student workload
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 3 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 3 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations	Students are required to attend lectures, exercises, as well as colloquiums.
Consultations	Every working day.
Literature	1. Milanković Lj.: Tehnika visokog napona, ETF, Beograd, 1981. 2. Škuletić S.: Tehnika visokog napona , UCG UR, Titograd, 1989. 3. Škuletić S. Vujošević S. Radulović V.:Praktikum za laboratorijske vježbe iz TVN, ETF, Podgorica, 2004
Examination methods	Two colloquiums, each worth 25 points (total 50 points). Final exam is worth 50 points.
Special remarks	No.
Comment	If necessary, classes can also be conducted in English.

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Electrical Engineering / POWER SYSTEMS AND AUTOMATIC CONTROL / POWER DISTRIBUTION SYSTEMS

Course:

POWER DISTRIBUTION SYSTEMS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
5163	Obavezan	1	5	3+1+0

Programs	POWER SYSTEMS AND AUTOMATIC CONTROL
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 3 sat(a) theoretical classes 0 sat(a) practical classes 1 excercises 2 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Electrical Engineering / POWER SYSTEMS AND AUTOMATIC CONTROL / MICROCONTROLLER SYSTEM DESIGN

Course:

MICROCONTROLLER SYSTEM DESIGN/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
5177	Obavezan	1	4	1+0+2

Programs	POWER SYSTEMS AND AUTOMATIC CONTROL
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
4 credits x 40/30=5 hours and 20 minuts 1 sat(a) theoretical classes 2 sat(a) practical classes 0 excercises 2 hour(s) i 20 minuts of independent work, including consultations	Classes and final exam: 5 hour(s) i 20 minuts x 16 =85 hour(s) i 20 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 5 hour(s) i 20 minuts x 2 =10 hour(s) i 40 minuts Total workload for the subject: 4 x 30=120 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 24 hour(s) i 0 minuts Workload structure: 85 hour(s) i 20 minuts (cources), 10 hour(s) i 40 minuts (preparation), 24 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Electrical Engineering / POWER SYSTEMS AND AUTOMATIC CONTROL / ELECTRICAL DRIVES

Course:

ELECTRICAL DRIVES/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
5199	Obavezan	1	6	3+2+1

Programs	POWER SYSTEMS AND AUTOMATIC CONTROL
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 3 sat(a) theoretical classes 1 sat(a) practical classes 2 excercises 2 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Electrical Engineering / POWER SYSTEMS AND AUTOMATIC CONTROL / POWER SYSTEM PLANNING AND OPERATION

Course:

POWER SYSTEM PLANNING AND OPERATION/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
5200	Obavezan	1	4.5	3+0+0

Programs	POWER SYSTEMS AND AUTOMATIC CONTROL
Prerequisites	There is no conditionality of other subjects.
Aims	Introduction to basic principles and methodologies of exploitation and planning of electric power system, along with presentation of power and exploitation characteristics of individual elements of the system, facilities for the generation, transmission and distribution, including methods for short- and long-term forecasts of electricity and power.
Learning outcomes	After successfully passing the exam students will be able to: 1. To clearly explain the difference between two terms (group of activities) – “Exploitation of Power Systems“ and “Power System Planning“. In the other words, to properly attach particular power system activities to an adequate group. 2. To clearly explain the difference between centralized (traditional) and decentralized (modern) power systems. 3. To discuss the difference between common terms related to power system sources (Inspaled Power, Maximal Power, Available Power, Engaged Power..). 4. To distinguish between terms “Possible Electrical Energy Production“ and “Achieved Electrical Energy Production“, as well as to make distinction between different types of power plants. 5. To distinguish different costs related to power system exploitation. 6. To briefly explain the importance of the existence of reserves in power systems. 7. To briefly explain methods for prediction of the electrical energy consumption. 8. To estimate the importance of an adequate power sources planning.
Lecturer / Teaching assistant	Lecturer: Assistant professor Saša Mujović, PhD
Methodology	Lectures and consultations.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Recognition of main tasks and challenges of the modern power systems. Classification of consumers. Daily, weekly, monthly and yearly load profiles.
I week exercises
II week lectures	The main parameters of power plants. Operational characteristics of hydro and thermal power plants.
II week exercises
III week lectures	Operational planning of the drive. Reserves production capacity.
III week exercises
IV week lectures	Optimization of switching states. Losses of electric power and energy in lines and transformers. Measures for losses reduction.
IV week exercises
V week lectures	The first Test.
V week exercises
VI week lectures	Free week.
VI week exercises
VII week lectures	Basics of engineering economics. Methods for obtaining of optimal solutions.
VII week exercises
VIII week lectures	Reliability of the generation subsystems. Calculation of additional production capacities.
VIII week exercises
IX week lectures	Selection of the most favorable structure of electrical energy sources.
IX week exercises
X week lectures	Methods for global planning of electrical energy sources development.
X week exercises
XI week lectures	Optimization of the transmission lines.
XI week exercises
XII week lectures	Selection of unit power and the number of transformers in substations.
XII week exercises
XIII week lectures	The second Test.
XIII week exercises
XIV week lectures	Methods for global planning of transmission grids development.
XIV week exercises
XV week lectures	The final exam.
XV week exercises

Student workload	During the semester: 1) Teaching and the final exam:     (6 hours) x 16 = 96 hours 2) Preparation before the start of the semester (administration, enrollment, etc) = 12 hours 3) additional work from 0 to 27 hours
Per week	Per semester
4.5 credits x 40/30=6 hours and 0 minuts 3 sat(a) theoretical classes 0 sat(a) practical classes 0 excercises 3 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 0 minuts x 16 =96 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 0 minuts x 2 =12 hour(s) i 0 minuts Total workload for the subject: 4.5 x 30=135 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 27 hour(s) i 0 minuts Workload structure: 96 hour(s) i 0 minuts (cources), 12 hour(s) i 0 minuts (preparation), 27 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature	1. I. Vujošević: Lectures, ETF Podgorica, 2005. 2. M. Ćalović, A. Sarić: Operation of power systems (on Serbian), Beopres, Belgrade, 1999. 3. M.Ćalović, A. Sarić: Power system planning (On Serbian), Beopres, Belgrade, 2000.
Examination methods	Two tests (written examination) which are evaluated with a total of 50 points and the final examination (oral examination), which is evaluated with 50 points. Students obtain the passing grade if they cumulatively collect a minimum of 51 points.
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Electrical Engineering / POWER SYSTEMS AND AUTOMATIC CONTROL / POWER SYSTEM PLANNING AND OPERATION

Course:

POWER SYSTEM PLANNING AND OPERATION/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
5200	Obavezan	1	4.5	3+0+0

Programs	POWER SYSTEMS AND AUTOMATIC CONTROL
Prerequisites	There is no conditionality of other subjects.
Aims	Introduction to basic principles and methodologies of exploitation and planning of electric power system, along with presentation of power and exploitation characteristics of individual elements of the system, facilities for the generation, transmission and distribution, including methods for short- and long-term forecasts of electricity and power.
Learning outcomes	After successfully passing the exam students will be able to: 1. To clearly explain the difference between two terms (group of activities) – “Exploitation of Power Systems“ and “Power System Planning“. In the other words, to properly attach particular power system activities to an adequate group. 2. To clearly explain the difference between centralized (traditional) and decentralized (modern) power systems. 3. To discuss the difference between common terms related to power system sources (Inspaled Power, Maximal Power, Available Power, Engaged Power..). 4. To distinguish between terms “Possible Electrical Energy Production“ and “Achieved Electrical Energy Production“, as well as to make distinction between different types of power plants. 5. To distinguish different costs related to power system exploitation. 6. To briefly explain the importance of the existence of reserves in power systems. 7. To briefly explain methods for prediction of the electrical energy consumption. 8. To estimate the importance of an adequate power sources planning.
Lecturer / Teaching assistant	Lecturer: Assistant professor Saša Mujović, PhD
Methodology	Lectures and consultations.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Recognition of main tasks and challenges of the modern power systems. Classification of consumers. Daily, weekly, monthly and yearly load profiles.
I week exercises
II week lectures	The main parameters of power plants. Operational characteristics of hydro and thermal power plants.
II week exercises
III week lectures	Operational planning of the drive. Reserves production capacity.
III week exercises
IV week lectures	Optimization of switching states. Losses of electric power and energy in lines and transformers. Measures for losses reduction.
IV week exercises
V week lectures	The first Test.
V week exercises
VI week lectures	Free week.
VI week exercises
VII week lectures	Basics of engineering economics. Methods for obtaining of optimal solutions.
VII week exercises
VIII week lectures	Reliability of the generation subsystems. Calculation of additional production capacities.
VIII week exercises
IX week lectures	Selection of the most favorable structure of electrical energy sources.
IX week exercises
X week lectures	Methods for global planning of electrical energy sources development.
X week exercises
XI week lectures	Optimization of the transmission lines.
XI week exercises
XII week lectures	Selection of unit power and the number of transformers in substations.
XII week exercises
XIII week lectures	The second Test.
XIII week exercises
XIV week lectures	Methods for global planning of transmission grids development.
XIV week exercises
XV week lectures	The final exam.
XV week exercises

Student workload	During the semester: 1) Teaching and the final exam:     (6 hours) x 16 = 96 hours 2) Preparation before the start of the semester (administration, enrollment, etc) = 12 hours 3) additional work from 0 to 27 hours
Per week	Per semester
4.5 credits x 40/30=6 hours and 0 minuts 3 sat(a) theoretical classes 0 sat(a) practical classes 0 excercises 3 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 0 minuts x 16 =96 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 0 minuts x 2 =12 hour(s) i 0 minuts Total workload for the subject: 4.5 x 30=135 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 27 hour(s) i 0 minuts Workload structure: 96 hour(s) i 0 minuts (cources), 12 hour(s) i 0 minuts (preparation), 27 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature	1. I. Vujošević: Lectures, ETF Podgorica, 2005. 2. M. Ćalović, A. Sarić: Operation of power systems (on Serbian), Beopres, Belgrade, 1999. 3. M.Ćalović, A. Sarić: Power system planning (On Serbian), Beopres, Belgrade, 2000.
Examination methods	Two tests (written examination) which are evaluated with a total of 50 points and the final examination (oral examination), which is evaluated with 50 points. Students obtain the passing grade if they cumulatively collect a minimum of 51 points.
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Electrical Engineering / POWER SYSTEMS AND AUTOMATIC CONTROL / COMPUTER AIDED DESIGN IN POWER SYSTEMS

Course:

COMPUTER AIDED DESIGN IN POWER SYSTEMS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
5201	Obavezan	1	3.5	1+0+3

Programs	POWER SYSTEMS AND AUTOMATIC CONTROL
Prerequisites	There is no conditionality of other subjects.
Aims	This subject addresses all important aspects related to power system design. Through this course, students will be acquainted with modern software used for the design and calculations of various issues of interest to the power system. Also, term papers, allows students to master the formal procedures for the preparation of professional papers.
Learning outcomes	After successfully passing the exam students will be able to: 1. To distinguish main commands in the Matlab and Matlab Simulink. 2. To successfully use prepared models of power system components (sources, lines, transformers..) in simulations. 3. To explain Matlab programs designed for calculation of stationary and non-stationary regimes in power systems. 4. To create a simple Access data base.
Lecturer / Teaching assistant	Lecturer: Assistant professor Saša Mujović, PhD Assistant: Assistant professor Vladan Radulović, PhD
Methodology	Lectures, exercises in a computer classroom / laboratory. Individual work on assignments and term papers. Consultations.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Models for forecasting of electrical energy consumption.
I week exercises
II week lectures	Development of software for conducting of electrical energy consumption forecasts, based on various forecasting models and comparative analysis (Part I).
II week exercises
III week lectures	Development of software for conducting of electrical energy consumption forecasts, based on various forecasting models and comparative analysis (Part II).
III week exercises
IV week lectures	Optimal routing of overhead power lines.
IV week exercises
V week lectures	Selecting a location and height of the pillars of overhead power lines.
V week exercises
VI week lectures	The first practical exercise.
VI week exercises
VII week lectures	Free week.
VII week exercises
VIII week lectures	The graphical presentation of the main elements of power plants.
VIII week exercises
IX week lectures	Design of the main schemes of power plants.
IX week exercises
X week lectures	Calculation of the overvoltage n power systems.
X week exercises
XI week lectures	Design of grounding systems. Modern software for preparing project studies in the field of electric power system.
XI week exercises
XII week lectures	The second practical exercise.
XII week exercises
XIII week lectures	Mathematical modeling of power system elements by developing of software applications.
XIII week exercises
XIV week lectures	The calculation of currents and voltages in the power systems using direct and iterative methods.
XIV week exercises
XV week lectures	Evaluation of term papers (Final exam).
XV week exercises

Student workload	During the semester: Teaching and the final exam: (4 hours and 40 minutes) x 16 = 74 hours and 40 minutes Preparation before the start of the semester (administration, enrollment, etc) 2 x (4 hours and 40 min) = 9 hours and 20 minutes Total hours for the course 3.5x30 = 105 hours Additional work can take from 0 to 21 hours.
Per week	Per semester
3.5 credits x 40/30=4 hours and 40 minuts 1 sat(a) theoretical classes 3 sat(a) practical classes 0 excercises 0 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 4 hour(s) i 40 minuts x 16 =74 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 4 hour(s) i 40 minuts x 2 =9 hour(s) i 20 minuts Total workload for the subject: 3.5 x 30=105 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 21 hour(s) i 0 minuts Workload structure: 74 hour(s) i 40 minuts (cources), 9 hour(s) i 20 minuts (preparation), 21 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature	1. Z. Uskoković, Lj. Stanković, I. Đurović : „MATLAB for Windows“
Examination methods	- 2 practical exercises are evaluated with 40 points in total, - Term paper is evaluated with 50 points and, - Attendance is evaluated with 10 points.
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Electrical Engineering / POWER SYSTEMS AND AUTOMATIC CONTROL / POWER SYSTEM CONTROL

Course:

POWER SYSTEM CONTROL/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
5202	Obavezan	2	6	3+1+0

Programs	POWER SYSTEMS AND AUTOMATIC CONTROL
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 3 sat(a) theoretical classes 0 sat(a) practical classes 1 excercises 4 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Electrical Engineering / POWER SYSTEMS AND AUTOMATIC CONTROL / POWER SYSTEM PROTECTION

Course:

POWER SYSTEM PROTECTION/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
5203	Obavezan	2	6	3+0+2

Programs	POWER SYSTEMS AND AUTOMATIC CONTROL
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 3 sat(a) theoretical classes 2 sat(a) practical classes 0 excercises 3 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Electrical Engineering / POWER SYSTEMS AND AUTOMATIC CONTROL / POWER CABLES

Course:

POWER CABLES/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
5204	Obavezan	2	6	3+1+0

Programs	POWER SYSTEMS AND AUTOMATIC CONTROL
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 3 sat(a) theoretical classes 0 sat(a) practical classes 1 excercises 4 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Electrical Engineering / POWER SYSTEMS AND AUTOMATIC CONTROL / ROBOTICS AND FLEXIBILE GENERATION SYSTEMS

Course:

ROBOTICS AND FLEXIBILE GENERATION SYSTEMS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
5207	Obavezan	1	4.5	2+0+1

Programs	POWER SYSTEMS AND AUTOMATIC CONTROL
Prerequisites	The subject is not conditioned by other subjects
Aims	Throughout this course, students will gain knowledge about the basic elements of industrial manipulators and mobile robots, as well as basic methods for modeling the kinematics and dynamics of these systems. The course also covers the principles of designing complex production systems as a series of flexible production cells, which, when integrated using transport systems, represent flexible industrial production systems.
Learning outcomes	After passing this exam, the student will be able to: 1. Explain the architectures of mobile and industrial robots. 2.Describe the basic kinematic structures of industrial robots. 3. List the basic types of control for industrial and mobile robots. 4. Explain the direct and inverse kinematic problem for industrial robots with up to three degrees of freedom. 5. Explain the principle of modeling robot dynamics and connect it with the robots kinematics. 6. Determine the type of industrial robot according to the defined requirements of the production process. 7. Simulate (off-line) simple technological operations with a 6-axis robot in production.
Lecturer / Teaching assistant	prof. dr Milovan Radulović
Methodology	Lectures, exercises, consultations, independent study.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction. Purposes and classification of robotic systems. General specifics of robotic systems and their classification.
I week exercises	Introduction. Purposes and classification of robotic systems. General specifics of robotic systems and their classification.
II week lectures	Operational space and workspace of the manipulator. Kinematic chains. Minimal configuration, positioning, and orientation of the end effector.
II week exercises	Operational space and workspace of the manipulator. Kinematic chains. Minimal configuration, positioning, and orientation of the end effector.
III week lectures	Geometry of industrial manipulators. Transformation matrices between coordinate systems.
III week exercises	Geometry of industrial manipulators. Transformation matrices between coordinate systems.
IV week lectures	Kinematic model of the manipulator. Denavit-Hartenberg convention.
IV week exercises	Kinematic model of the manipulator. Denavit-Hartenberg convention.
V week lectures	Direct kinematic problem. Inverse kinematic problem.
V week exercises	Direct kinematic problem. Inverse kinematic problem.
VI week lectures	Synthesis of trajectories at the kinematic level. Multi robot systems. Flexible generation systems.
VI week exercises	Synthesis of trajectories at the kinematic level.
VII week lectures	Actuators in robotics. End effectors.
VII week exercises	Actuators in robotics. End effectors.
VIII week lectures	Dynamic model of the manipulator. Dynamics and dynamic analysis of manipulation robots. Mathematical model of dynamics. Robot dynamics when external forces are applied
VIII week exercises	Dynamic model of the manipulator. Dynamics and dynamic analysis of manipulation robots. Mathematical model of dynamics. Robot dynamics when external forces are applied
IX week lectures	Sensors in robotics.
IX week exercises	Sensors in robotics.
X week lectures	Robot control. Executive, tactical, and strategic levels of control.
X week exercises	Robot control. Executive, tactical, and strategic levels of control.
XI week lectures	Executive, tactical and strategic level of control.
XI week exercises	Executive, tactical and strategic level of control.
XII week lectures	Hierarchical control. Control of a single joint. Control of simultaneous movement of multiple joints.
XII week exercises	Hierarchical control. Control of a single joint. Control of simultaneous movement of multiple joints.
XIII week lectures	Mobile robots. Control of mobile robots.
XIII week exercises	Mobile robots. Control of mobile robots.
XIV week lectures	Multi-robot systems. Control of systems with multiple mobile robots.
XIV week exercises	Multi-robot systems. Control of systems with multiple mobile robots.
XV week lectures	Flexible generation systems. Conception. Structure of flexible manufacturing systems.
XV week exercises	Flexible generation systems. Conception. Structure of flexible manufacturing systems.

Student workload	During the semester Classes and final exam: (5 hours and 20 minutes) x 16 = 85 hours and 20 minutes Necessary preparations before the beginning of the semester (administration, registration, certification) 2 x (5 hours and 20 minutes) =10 hours and 40 minutes Total workload for the course: 4x30 = 120 hours Supplementary work for exam preparation in the make-up exam period, including taking the make-up exam from 0 to 36 hours (remaining time from the first two items to the total workload for the course 180 hours) Load structure: 85 hours and 20 minutes (Lectures)+10 hours and 40 minutes (Preparations)+24 hours (Supplementary work)
Per week	Per semester
4.5 credits x 40/30=6 hours and 0 minuts 2 sat(a) theoretical classes 1 sat(a) practical classes 0 excercises 3 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 0 minuts x 16 =96 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 0 minuts x 2 =12 hour(s) i 0 minuts Total workload for the subject: 4.5 x 30=135 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 27 hour(s) i 0 minuts Workload structure: 96 hour(s) i 0 minuts (cources), 12 hour(s) i 0 minuts (preparation), 27 hour(s) i 0 minuts (additional work)
Student obligations	Regular attendance at classes, appropriate behavior, attending knowledge tests.
Consultations
Literature	Slides and lecture materials. Siciliano B., Khatib O., Handbook of Robootics (chosen parts), Springer, 2008. Vukobratović, M. i ostali, Uvod u robotiku, Institut ”Mihajlo Pupin”, Beograd,1986. Veljko Potkonjak, Robotika-ROBOTI, ,Naučna knjiga Beograd,1989. Vlatko Določek, Isak Karabegović, Robotika, Tehnički fakultet, Bihać, 2002. Kosta Jovanović, Nikola Knežević, Robotika Zbirka rešenih zadataka, Akademska misao, Beograd, 2021
Examination methods	Midterm exam 50 points Final exam or seminar paper 50 points
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Electrical Engineering / POWER SYSTEMS AND AUTOMATIC CONTROL / PROJECT OF POWER SEMICONDUCTOR CONVERTERS

Course:

PROJECT OF POWER SEMICONDUCTOR CONVERTERS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
5208	Obavezan	1	5.5	3+1+0

Programs	POWER SYSTEMS AND AUTOMATIC CONTROL
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
5.5 credits x 40/30=7 hours and 20 minuts 3 sat(a) theoretical classes 0 sat(a) practical classes 1 excercises 3 hour(s) i 20 minuts of independent work, including consultations	Classes and final exam: 7 hour(s) i 20 minuts x 16 =117 hour(s) i 20 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 7 hour(s) i 20 minuts x 2 =14 hour(s) i 40 minuts Total workload for the subject: 5.5 x 30=165 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 33 hour(s) i 0 minuts Workload structure: 117 hour(s) i 20 minuts (cources), 14 hour(s) i 40 minuts (preparation), 33 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Electrical Engineering / POWER SYSTEMS AND AUTOMATIC CONTROL / TECHNOLOGY PROCESS CONTROL

Course:

TECHNOLOGY PROCESS CONTROL/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
6059	Obavezan	1	5	3+0+1

Programs	POWER SYSTEMS AND AUTOMATIC CONTROL
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 3 sat(a) theoretical classes 1 sat(a) practical classes 0 excercises 2 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Electrical Engineering / POWER SYSTEMS AND AUTOMATIC CONTROL / OPTIMAL CONTROL

Course:

OPTIMAL CONTROL/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
6060	Obavezan	1	4.5	3+1+0

Programs	POWER SYSTEMS AND AUTOMATIC CONTROL
Prerequisites	Zdravko Uskoković PhD - lecturer, Žarko Zečević MS - teaching assistant.
Aims	The aims are to aquaint the students with basic notions of optimal control systems, properties of such systems and the possibilities to reach such optimal solutions in real systems.
Learning outcomes	After completing this course student should be able to 1. Define the appropriate optimality performace criterion; 2. Fore a given system mode and performance criterion, find the optimal solution (linear quadratic regulator, LQR); 3. Analyze the performance of the resulting otimal solution in real ciscumstances, when all the system states are not available for measurement; 4. Desing a suboptimal regulator that will tend to come as close as possible to the optimal one (full order observer, reduced order observer, etc.); 5. Model and simulate optimal control systems by using the computer support and the existing tools (Matlab, Simulink, etc.).
Lecturer / Teaching assistant	Zdravko Uskoković PhD - lecturer, Žarko Zečević MS - teaching assistant.
Methodology	Lectures, exercises, lab exercises.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction. Definitions of basic notions.
I week exercises	Selected problem for illustration of the theoretical concept.
II week lectures	Quadratic performance criterion.
II week exercises	Selected problem for illustration of the theoretical concept.
III week lectures	Design of LQR.
III week exercises	Selected problem for illustration of the theoretical concept.
IV week lectures	Matrix Riccati equation and its solutions.
IV week exercises	Selected problem for illustration of the theoretical concept.
V week lectures	Properties of the LQR designed closed-loop system.
V week exercises	Selected problem for illustration of the theoretical concept.
VI week lectures	I test.
VI week exercises	I test.
VII week lectures	Effects of weighting matrices on the LQR solution.
VII week exercises	Selected problem for illustration of the theoretical concept.
VIII week lectures	State estimation.
VIII week exercises	Selected problem for illustration of the theoretical concept.
IX week lectures	Observers.
IX week exercises	Selected problem for illustration of the theoretical concept.
X week lectures	Optimal regulators based on output feedback.
X week exercises	Selected problem for illustration of the theoretical concept.
XI week lectures	Properties of optimal systems from the classical design point of view.
XI week exercises	Selected problem for illustration of the theoretical concept.
XII week lectures	Robustness of the resulting optimal systems.
XII week exercises	Selected problem for illustration of the theoretical concept.
XIII week lectures	II test.
XIII week exercises	II test.
XIV week lectures	Correctional test.
XIV week exercises	Correctional test.
XV week lectures	Nonlinearities in the system and the optimality
XV week exercises	Selected problem for illustration of the theoretical concept.

Student workload	92 hours (lectures)+12 hours (Preparations)+27 hours (additional work)
Per week	Per semester
4.5 credits x 40/30=6 hours and 0 minuts 3 sat(a) theoretical classes 0 sat(a) practical classes 1 excercises 2 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 0 minuts x 16 =96 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 0 minuts x 2 =12 hour(s) i 0 minuts Total workload for the subject: 4.5 x 30=135 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 27 hour(s) i 0 minuts Workload structure: 96 hour(s) i 0 minuts (cources), 12 hour(s) i 0 minuts (preparation), 27 hour(s) i 0 minuts (additional work)
Student obligations	Student is obliged to attend lectures, do homeworks and tests, lab exercises and all forms of exams.
Consultations	Consulting hours set in advance.
Literature	B. Anderson, J. Moore: Linear optimal control, Prentice Hall, razna izdanja
Examination methods	4 homeworks graded 1 point each; 2 tests graded with 23 points; final exam - 50 points. Student passes the course with cumulative sum of 51 points.
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Electrical Engineering / POWER SYSTEMS AND AUTOMATIC CONTROL / MICROPROCESSORS IN INDUSTRY

Course:

MICROPROCESSORS IN INDUSTRY/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
6063	Obavezan	2	6	3+1+0

Programs	POWER SYSTEMS AND AUTOMATIC CONTROL
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 3 sat(a) theoretical classes 0 sat(a) practical classes 1 excercises 4 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Electrical Engineering / POWER SYSTEMS AND AUTOMATIC CONTROL / SMALL ELECTRIC MACHINES

Course:

SMALL ELECTRIC MACHINES/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
6064	Obavezan	2	6	3+0+1

Programs	POWER SYSTEMS AND AUTOMATIC CONTROL
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 3 sat(a) theoretical classes 1 sat(a) practical classes 0 excercises 4 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Electrical Engineering / POWER SYSTEMS AND AUTOMATIC CONTROL / REAL TIME CONTROL

Course:

REAL TIME CONTROL/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
6065	Obavezan	2	6	3+1+0

Programs	POWER SYSTEMS AND AUTOMATIC CONTROL
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 3 sat(a) theoretical classes 0 sat(a) practical classes 1 excercises 4 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Electrical Engineering / POWER SYSTEMS AND AUTOMATIC CONTROL / MECHATRONICS

Course:

MECHATRONICS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
7187	Obavezan	2	6	3+1+0

Programs	POWER SYSTEMS AND AUTOMATIC CONTROL
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 3 sat(a) theoretical classes 0 sat(a) practical classes 1 excercises 4 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Electrical Engineering / POWER SYSTEMS AND AUTOMATIC CONTROL / CONTROL AND REGULATION OF ELECTRICAL DRIVES

Course:

CONTROL AND REGULATION OF ELECTRICAL DRIVES/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
7697	Obavezan	2	6	3+1+0

Programs	POWER SYSTEMS AND AUTOMATIC CONTROL
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 3 sat(a) theoretical classes 0 sat(a) practical classes 1 excercises 4 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Electrical Engineering / POWER SYSTEMS AND AUTOMATIC CONTROL / ADAPTIVE CONTROL SYSTEMS

Course:

ADAPTIVE CONTROL SYSTEMS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
7698	Obavezan	2	6	3+1+0

Programs	POWER SYSTEMS AND AUTOMATIC CONTROL
Prerequisites	No prerequisites
Aims	Course objectives are to introduce students with adaptive control systems. After an introduction to adaptive control systems, students will learn the methods of design such systems and control algorithms. Theoretical knowledge students will complete active work in software MATLAB and Simulink.
Learning outcomes	Upon completion of this course the student will be able to: 1. Determines and recognizes conditions and requirements that use adaptive control systems. 2. Recognizes and describes the types of adaptive control systems and functions of their components. 3. Determines various performance criteria which are applied in adaptive control system (mean square error, criterion of least squares error, etc.) 4. Learn and apply various adaptive methods for the identification of unknown parameters (LMS - Least Mean Square, RLS - recursive least square, etc.). 5. Design regulator whose parameters are change (adapted) in such a way that the system in a real situation, achieves performance reference system (MRAC - Model Reference Adaptive Control). 6.Model and simulate adaptive automatic control systems using computer (Matlab, Simulink, etc.)
Lecturer / Teaching assistant	Prof. dr Božo Krstajić Mr Žarko Zečevic
Methodology	Lectures, laboratory exercises on computer, independent assignments and consultations

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction to adaptive control. Definition and classification of adaptive systems.
I week exercises	Selected problem for illustration of the theoretical concept.
II week lectures	The motivation for the use of adaptive system. Reasons for adaptation in the system.
II week exercises	Selected problem for illustration of the theoretical concept.
III week lectures	Identification of the system parameters. Methods of identification. Persistent initiative
III week exercises	Selected problem for illustration of the theoretical concept.
IV week lectures	Identification systems in open and closed loop.
IV week exercises	Selected problem for illustration of the theoretical concept.
V week lectures	A controller with a tablet amplification (Gain scheduling).
V week exercises	Selected problem for illustration of the theoretical concept.
VI week lectures	Analysis of the system: stability, convergence and optimality
VI week exercises	Selected problem for illustration of the theoretical concept.
VII week lectures	I prelims.
VII week exercises	I prelims.
VIII week lectures	Adaptation rules(MIT rule and method of Lyapunov)
VIII week exercises	Selected problem for illustration of the theoretical concept.
IX week lectures	Model reference adaptive system (MRAS).
IX week exercises	Selected problem for illustration of the theoretical concept.
X week lectures	Self-tuning adaptive control.
X week exercises	Selected problem for illustration of the theoretical concept.
XI week lectures	Self-tuning regulators
XI week exercises	Selected problem for illustration of the theoretical concept.
XII week lectures	Methods for regulators design.
XII week exercises	Selected problem for illustration of the theoretical concept.
XIII week lectures	Design of regulators.
XIII week exercises	Selected problem for illustration of the theoretical concept.
XIV week lectures	II prelims.
XIV week exercises	II prelims.
XV week lectures	The application of adaptive systems.
XV week exercises	Selected problem for illustration of the theoretical concept.

Student workload	weekly 5 ECTS x 40/30 = 6 hours and 36 minutes Structure: 2 hours lectures 1 hours laboratory 3,6 hours self learning and consultation
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 3 sat(a) theoretical classes 0 sat(a) practical classes 1 excercises 4 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations	Students are required to attend classes, do homework and tests, laboratory exercises and both prelims.
Consultations	Once a week for 2 hours face to face and, if necessary, by email permanently.
Literature	Karl J. Astrom, Bjorn Wittenmark- "Adaptive control" -Dover Publications, 1994. Lj.Draganović, Adaptivni sistemi upravljanja, Svjetlost, Sarajevo,1982.
Examination methods	2 prelims (total 45%) and are prerequisite for final exam Lab Project and homeworks 10% Final exam 45%
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Electrical Engineering / POWER SYSTEMS AND AUTOMATIC CONTROL / ENERGY AND ECOLOGY

Course:

ENERGY AND ECOLOGY/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
8646	Izborni	2	6	3+1+0

Programs	POWER SYSTEMS AND AUTOMATIC CONTROL
Prerequisites	None
Aims
Learning outcomes	Upon completion of this course, the student will be able to: Properly interpret and explain the position, role, and significance of energetics and its development in the world and in our country. Analyze and explain the interconnection between energetics and its development with the development of other economic sectors. Properly interpret and explain energy strategies and energy transformations and processes in hydro, thermal, and nuclear power plants. Define, classify, and explain the impacts of energetics on the environment. Analyze and explain biological, physicochemical, and technological processes as sources of environmental pollution. Explain the consequences of environmental pollution and their impact on living beings. Differentiate and analyze the assessment of the impact of energetics on the environment and the principles and measures for environmental protection. Properly interpret and apply standards on environmental protection and quality and waste management. Explain the necessity and need for sustainable development. Explain the possibilities of applying new technologies and innovations to reduce the impact of energetics on the environment. Properly interpret and apply legal, economic, and other regulations and recommendations related to energetics and ecology, especially those given in EU documents.
Lecturer / Teaching assistant	Doc. dr Snežana Vujošević; dr Vladan Durkovic
Methodology	Lectures, computational exercises, seminars, consultations

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introductory lecture
I week exercises
II week lectures	Introduction: Energy, Ecology, and Sustainable Development. Energy and forms of energy. The impact of energy production on the environment. Energy development strategy and goals in the 21st century.
II week exercises
III week lectures	Energy sources. Classification of energy sources, Reserves of energy sources. The impact of energy on air, water, and land. Human impact on the environment in the use of various energy sources.
III week exercises
IV week lectures	Energy conversions in power plants and their operating principles (thermal power plants, nuclear power plants, hydroelectric power plants). Conventional power plants in Montenegro.
IV week exercises
V week lectures	Environment. Most common types of pollution and pollutants. Negative impact of pollution on the surrounding environment and human health.
V week exercises
VI week lectures	Energy and the environment. Thermal power plants as a source of air, water, and soil pollution. Negative impact of nuclear power plants on the environment.
VI week exercises
VII week lectures	The impact of hydroelectric power plants and small hydroelectric power plants on the environment from various aspects.
VII week exercises
VIII week lectures	Mid-term exam
VIII week exercises
IX week lectures	Wind farms and their impact on the environment. Solar power plants from the perspective of their impact on the environment.
IX week exercises
X week lectures	The impact of geothermal power plants and biomass power plants on the environment. The impact of electrical power plants and power lines on the environment. Acid rain. Main causes of acid rain occurrence. Consequences of acid rain and measures for its reduction.
X week exercises
XI week lectures	Ozone holes. Causes of ozone hole formation. Consequences of ozone holes and measures for their reduction. Greenhouse effect and its consequences. Most significant greenhouse gases. Sustainable development. Energy sustainability. Energy efficiency. Energy footprint of the UN Declaration on Environmental Protection. Innovations aimed at reducing climate change.
XI week exercises
XII week lectures	Sustainable development. Energy sustainability. Energy efficiency. Energy footprint of the UN Declaration on Environmental Protection. Innovations aimed at reducing climate change.
XII week exercises
XIII week lectures	Retake of mid-term exam
XIII week exercises
XIV week lectures	Submission and defense of seminar papers
XIV week exercises
XV week lectures	Submission and defense of seminar papers
XV week exercises

Student workload	Weekly: 6 credits x 40/30 = 8 hours and 0 minutes; Structure: 3 hours of theoretical lectures; 1 hour of exercises; 4 hours and 0 minutes of independent work, including consultations. During the semester: Teaching and final exam: 8 hours and 0 minutes x 16 = 128 hours and 0 minutes. Necessary preparation before the semester begins (administration, enrollment, verification): 8 hours and 0 minutes x 2 = 16 hours and 0 minutes. Total workload for the course: 6 x 30 = 180 hours. Additional work for exam preparation in the resit exam session, including taking the resit exam from 0 to 30 hours (remaining time from the first two items to the total workload for the course): 36 hours and 0 minutes. Workload structure: 128 hours and 0 minutes (teaching), 16 hours and 0 minutes (preparation), 36 hours and 0 minutes (additional work).
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 3 sat(a) theoretical classes 0 sat(a) practical classes 1 excercises 4 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations	Weekly: 6 credits x 40/30 = 8 hours and 0 minutes; Structure: 3 hours of theoretical lectures; 1 hour of exercises; 4 hours and 0 minutes of independent work, including consultations. During the semester: Teaching and final exam: 8 hours and 0 minutes x 16 = 128 hours and 0 minutes. Necessary preparation before the semester begins (administration, enrollment, verification): 8 hours and 0 minutes x 2 = 16 hours and 0 minutes. Total workload for the course: 6 x 30 = 180 hours. Additional work for exam preparation in the resit exam session, including taking the resit exam from 0 to 30 hours (remaining time from the first two items to the total workload for the course): 36 hours and 0 minutes. Workload structure: 128 hours and 0 minutes (teaching), 16 hours and 0 minutes (preparation), 36 hours and 0 minutes (additional work).
Consultations	In the time slot following the lecture.
Literature	Renewable and Efficient Electric Power Systems, Gilbert Masters, JOHN WILEY & SONS, 2004. . Elektrane i okoliš, D. Feretić i dr , Element, Zagreb, 2000.
Examination methods	The quiz carries 30 points - The seminar paper carries 40 points - The final exam carries 30 points.
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Electrical Engineering / POWER SYSTEMS AND AUTOMATIC CONTROL / DISTRIBUTED SOURCES OF ELECTRICITY

Course:

DISTRIBUTED SOURCES OF ELECTRICITY/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
8647	Izborni	2	6	3+1+0

Programs	POWER SYSTEMS AND AUTOMATIC CONTROL
Prerequisites	None
Aims	Upon completing and passing the course, the student will be able to: Properly interpret and analyze the current issues regarding the application of alternative sources of electrical energy in modern electrical power systems. Define, classify, and analyze different types of distributed sources of electrical energy, their functioning, and constituent elements. Explain, calculate, and analyze the advantages and disadvantages of applying distributed sources of electrical energy from all relevant influential aspects (impact on the environment, impact on voltage conditions, impact on losses and the quality of electrical energy), especially for predominantly applied distributed sources (wind farms, small hydroelectric power plants, solar power plants). Explain, verify, and analyze the conditions for connecting distributed sources to the grid, as well as describe and formulate schemes for their connection in model and real conditions. Identify and understand the legal regulations related to the area of connecting distributed sources to the grid. Understand, explain, and direct the application of distributed production within the power system of Montenegro. Apply acquired knowledge in solving problems related to the application and connection of distributed sources of electrical energy in real electrical power systems.
Learning outcomes	Within this subject, students become acquainted with the current issues related to the application of distributed sources of electrical energy in modern electrical power systems, the impact of connecting distributed sources to the grid, as well as new trends in their development.
Lecturer / Teaching assistant	Doc. dr Snežana Vujošević, dr Vladan Durkovic
Methodology	Lectures, computational exercises, seminar work, individual work on computational tasks, consultations.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introductory lecture
I week exercises
II week lectures	The significance of energy. Basic forms of energy and their classifications. Classification of energy sources. Reserves of energy sources. Energy development strategy.
II week exercises
III week lectures	Distributed electricity generation. Types of distributed sources of electricity. Classification of distributed sources of electricity based on functional role.
III week exercises
IV week lectures	Advantages of applying distributed sources from economic, environmental, and exploitation perspectives. Energy conversions in hydroelectric power plants. Small hydroelectric power plants as distributed sources of energy. Small hydroelectric power plants in Montenegro. Advantages and disadvantages of applying small hydroelectric power plants.
IV week exercises
V week lectures	Solar energy. Energy conversions in solar power plants. Solar power plants as distributed sources of energy. Application of solar generators in supplying small and large consumers. Advantages and disadvantages of applying solar power plants.
V week exercises
VI week lectures	Wind energy. Energy conversions in wind turbines. Wind turbines as distributed sources of energy. Advantages and disadvantages of applying wind farms.
VI week exercises
VII week lectures	Geothermal energy. Geothermal power plants. Biomass and bioenergy. Biomass power plants.
VII week exercises
VIII week lectures	Mid-term exam
VIII week exercises
IX week lectures	Cogeneration. Cogeneration power plants as distributed energy sources. Advantages of cogeneration.
IX week exercises
X week lectures	Fuel cells. Operating principle and types of fuel cells. Fuel cells as distributed energy sources.
X week exercises
XI week lectures	Connecting distributed sources of electrical energy to the grid. Characteristic cases of integration. Impact on the quality of electrical energy.
XI week exercises
XII week lectures	Microgrids. Microgrid concept. Basic components of microgrids and typical configurations. Advantages of microgrids.
XII week exercises
XIII week lectures	Retake of mid-term exam
XIII week exercises
XIV week lectures	Submission and defense of seminar papers
XIV week exercises
XV week lectures	Submission and defense of seminar papers
XV week exercises

Student workload	Total workload: 6 credits x 40/30 = 8 hours; Structure: 3 hours of lectures; 1 hour of computational exercises; 4 hours for individual work, including consultations. Teaching and final exam: 8 hours x 16 = 128 hours. Necessary preparation before the semester begins (administration, enrollment, verification): 8 hours x 2 = 16 hours. Total workload for the course: 6 x 30 = 180 hours. Additional work for exam preparation in the resit exam session, including taking the resit exam from 0 to 30 hours (remaining time from the first two items to the total workload for the course): 36 hours. Workload structure: 128 hours (teaching), 16 hours (preparation), 36 hours (additional work).
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 3 sat(a) theoretical classes 0 sat(a) practical classes 1 excercises 4 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations	Students are required to attend classes, complete quizzes, and submit seminar papers.
Consultations	In the time slot after the lecture.
Literature	Distribuirani izvori električne energije, Vladica Mijailović, Akademska misao, Beograd 2011. Renewable and Efficient Electric Power Systems, Gilbert Masters, JOHN WILEY & SONS, 2004.
Examination methods	The quiz carries 30 points The seminar paper carries 40 points The final exam carries 30 points
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Electrical Engineering / POWER SYSTEMS AND AUTOMATIC CONTROL / OPTIMAL CONTROL

Course:

OPTIMAL CONTROL/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
8667	Obavezan	1	5	2+0+1

Programs	POWER SYSTEMS AND AUTOMATIC CONTROL
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 1 sat(a) practical classes 0 excercises 3 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Electrical Engineering / POWER SYSTEMS AND AUTOMATIC CONTROL / MICROPROCESSOR SYSTEM DESIGN

Course:

MICROPROCESSOR SYSTEM DESIGN/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
9833	Obavezan	1	4	3+2+1

Programs	POWER SYSTEMS AND AUTOMATIC CONTROL
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
4 credits x 40/30=5 hours and 20 minuts 3 sat(a) theoretical classes 1 sat(a) practical classes 2 excercises -1 hour(s) i 20 minuts of independent work, including consultations	Classes and final exam: 5 hour(s) i 20 minuts x 16 =85 hour(s) i 20 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 5 hour(s) i 20 minuts x 2 =10 hour(s) i 40 minuts Total workload for the subject: 4 x 30=120 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 24 hour(s) i 0 minuts Workload structure: 85 hour(s) i 20 minuts (cources), 10 hour(s) i 40 minuts (preparation), 24 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Electrical Engineering / POWER SYSTEMS AND AUTOMATIC CONTROL / ELECTRICAL DRIVES (AU)

Course:

ELECTRICAL DRIVES (AU)/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
13088	Obavezan	1	6	3+2+1

Programs	POWER SYSTEMS AND AUTOMATIC CONTROL
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 3 sat(a) theoretical classes 1 sat(a) practical classes 2 excercises 2 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Electrical Engineering / POWER SYSTEMS AND AUTOMATIC CONTROL / ELECTRICAL DRIVES (EES)

Course:

ELECTRICAL DRIVES (EES)/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
13093	Obavezan	1	5	2+1+.5

Programs	POWER SYSTEMS AND AUTOMATIC CONTROL
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 1 excercises 3 hour(s) i 10 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points