Faculty of Electrical Engineering / / MATHEMATICS
| Course: | MATHEMATICS/ |
| Course ID | Course status | Semester | ECTS credits | Lessons (Lessons+Exercises+Laboratory) |
| 12040 | Obavezan | 1 | 5 | 2+2+0 |
| Programs | |
| 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 2 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 / / PROJEKTOVANJE U ELEKTROENERGETSKIM SISTEMIMA
| Course: | PROJEKTOVANJE U ELEKTROENERGETSKIM SISTEMIMA/ |
| Course ID | Course status | Semester | ECTS credits | Lessons (Lessons+Exercises+Laboratory) |
| 12770 | Obavezan | 1 | 5 | 2+2+0 |
| Programs | |
| 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 2 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 / / EKSPLOATACIJA I PLANIRANJE EES
| Course: | EKSPLOATACIJA I PLANIRANJE EES/ |
| Course ID | Course status | Semester | ECTS credits | Lessons (Lessons+Exercises+Laboratory) |
| 12771 | Obavezan | 1 | 5 | 3+1+0 |
| Programs | |
| Prerequisites | No conditions. |
| Aims | Teaching in the subject of Exploitation and Planning of EPS prepares students for studying and analyzing the exploitation of the electric power system, as well as planning the development of the electric power system based on various methods. Differentiating and understanding the basic concepts related to the electric power system. |
| Learning outcomes | After passing this exam, the student will be able to: Explain the difference between activities classified under the term "exploitation of electric power systems" and activities falling under the term "planning of electric power systems." Explain the difference between monopolistic and decentralized electric power systems. Interpret the differences between common terms related to electric energy sources (installed capacity, maximum capacity, available capacity, engaged capacity, etc.). Differentiate between the concepts of "potential electricity generation" and "actual electricity generation" for various types of power plants. Differentiate types of costs incurred in the operation of electric power systems. Briefly describe the importance of reserves in electric power systems and name the basic types of reserves. Briefly describe methods for forecasting electricity consumption. Assess the importance of adequate planning for the development of electric power sources. |
| Lecturer / Teaching assistant | Prof. Dr. Saša Mujović |
| Methodology | Lectures, exercises, studying, independent task solving, consultations. |
| Plan and program of work | |
| Preparing week | Preparation and registration of the semester |
| I week lectures | Introduction to Exploitation and Planning of Electric Power Systems, Current Transformations. |
| I week exercises | Daily Load Diagram and Production Calculation. |
| II week lectures | Models of Organizing Electric Power Systems (monopoly model, single-buyer model, wholesale market competition model, retail market competition model). |
| II week exercises | Customer Models in the Electricity Market. |
| III week lectures | Energy-exploitation Characteristics of Consumers in the Electric Power System (load diagram, load duration curve). |
| III week exercises | Energy-exploitation characteristics of producers - introduction. |
| IV week lectures | Energy-exploitation characteristics of electric power sources in the EPS with emphasis on hydroelectric power plants. |
| IV week exercises | Energy-exploitation characteristics of producers - basic concepts. |
| V week lectures | Energy-exploitation characteristics of electric power sources in the EPS with emphasis on thermal power plants. |
| V week exercises | Approximation of the load duration curve. |
| VI week lectures | Mid-term exam. |
| VI week exercises | Mid-term exam. |
| VII week lectures | Production capacity reserves, EPS exploitation, and reliability. |
| VII week exercises | Basic functions of operational planning. |
| VIII week lectures | Calculation of production capacity reserves and electric power balance. |
| VIII week exercises | Calculation of production capacity reserves and electric power balance - computational tasks. |
| IX week lectures | Principle of EPS development planning (basic phases and concepts). |
| IX week exercises | Qualitative methods. |
| X week lectures | Methods for long-term forecasting of electricity consumption and power, practical applications of forecast models. |
| X week exercises | Independent (extrapolation) and dependent (correlation) methods. |
| XI week lectures | Development planning of sources - general considerations. |
| XI week exercises | Reliability of production capacities. |
| XII week lectures | Selection of the most favorable power plants and aggregate sizes. |
| XII week exercises | Selection of power plants and sizes of production aggregates. |
| XIII week lectures | Development planning of electric power grids. |
| XIII week exercises | Determination of LOLP reliability index. |
| XIV week lectures | Study of transmission grid expansion. |
| XIV week exercises | LOEP reliability index. |
| XV week lectures | Mid-term exam |
| XV week exercises | Mid-term exam |
| Student workload | Weekly. |
| 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 | Regular attendance of classes, participation in exercises, completion of quizzes, and final exam. |
| Consultations | Schedule by arrangement. |
| Literature | Prof. Dr. Ilija Vujošević, Exploitation and Planning of Electric Power Systems, Podgorica, 2005 Hossein Seifi, Mohammad Sadegh Sepasian, Electric Power System Planning Issues, Algorithms and Solutions, 2011 |
| Examination methods | Two mid-term exams are scored with 30 points each, totaling 60 points. The final exam is scored with 40 points. A passing grade is obtained if at least 50 points are cumulatively accumulated. |
| Special remarks | None. |
| Comment | None. |
| 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 / / TEHNIKA VISOKOG NAPONA
| Course: | TEHNIKA VISOKOG NAPONA/ |
| Course ID | Course status | Semester | ECTS credits | Lessons (Lessons+Exercises+Laboratory) |
| 12772 | Obavezan | 1 | 5 | 3+1+1 |
| Programs | |
| 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 |
| 5 credits x 40/30=6 hours and 40 minuts
3 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 1 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 | 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 / / ELEKTRODISTRIBUTIVNI SISTEMI
| Course: | ELEKTRODISTRIBUTIVNI SISTEMI/ |
| Course ID | Course status | Semester | ECTS credits | Lessons (Lessons+Exercises+Laboratory) |
| 12773 | Obavezan | 1 | 5 | 3+1+1 |
| Programs | |
| Prerequisites | No conditions. |
| Aims | The course in electric distribution systems enables students to understand the structure and functioning of the electric distribution system within the electric power system. Students should be able to independently analyze parameters of distribution networks and solve problems in the domain of real electric distribution systems. |
| Learning outcomes | Upon completion and passing of the course, the student will be able to: Understand the function and structure of electric distribution systems within the framework of the unified electric power system. Classify and compare electric distribution systems from all relevant functional and structural aspects. Understand and explain the role and operation of elements within electric distribution systems and perform their technical-economic selection. Calculate and analyze parameters of distribution networks and parameters of normal and emergency operating modes of distribution networks, using modern methods and tools. Classify, analyze, and calculate the energy characteristics of electricity consumers within the consumption of electric distribution systems. Solve problems related to the forecast of electricity consumption and power, and perform calculations using contemporary mathematical-statistical methods. Understand modern technical-economic optimization methods of electric distribution systems. Define the structure and characteristics of the electric distribution system of Montenegro. Apply acquired knowledge to solve problems in real electric distribution systems. |
| Lecturer / Teaching assistant | Prof. Dr Saša Mujović |
| Methodology | Lectures, exercises, studying, independent task solving, consultations. |
| Plan and program of work | |
| Preparing week | Preparation and registration of the semester |
| I week lectures | Introductory considerations and basic concepts related to the electric distribution system. |
| I week exercises | Introduction to the configuration of electric distribution networks. |
| II week lectures | Division and structure of electric distribution systems, voltage levels, and transformations. |
| II week exercises | Simultaneity factor tasks. |
| III week lectures | Basic principles of implementing urban electric distribution systems. |
| III week exercises | Surface load density - urban electric distribution systems. |
| IV week lectures | Configuration of distribution HV networks (ring configuration, configuration with spare cable and with substation). |
| IV week exercises | Ring configuration of EDS. |
| V week lectures | Configurations of distribution HV networks (double supply, multiple supply, configuration with distribution station). |
| V week exercises | Direct and inter-transformation of EDS. |
| VI week lectures | Configurations of distribution HV networks, configuration with double conductors. |
| VI week exercises | Measures to limit short-circuit power. |
| VII week lectures | Mid-term exam |
| VII week exercises | Mid-term exam |
| VIII week lectures | Configurations of distribution LV networks, complex loop networks. |
| VIII week exercises | Load factor. |
| IX week lectures | Protection in complex loop networks. |
| IX week exercises | Electrification level (household division). |
| X week lectures | Division of consumers and consumption characteristics in the electric distribution facility (consumer categories). |
| X week exercises | Simultaneity factor of consumer group (Swedish pattern). |
| XI week lectures | Load of consumer group and load simultaneity factor. |
| XI week exercises | Static voltage characteristics of consumption (constant current, power, impedance model). |
| XII week lectures | Supply reliability and power quality. |
| XII week exercises | Calculation of THD factor. |
| XIII week lectures | Electrical calculations of electric distribution network lines (lines with concentrated, distributed, and continuous load). |
| XIII week exercises | Calculation of voltage drop (lines with concentrated, distributed, and continuous load). |
| XIV week lectures | Mid-term exam |
| XIV week exercises | Mid-term exam |
| XV week lectures | Maintenance of favorable voltage conditions in electric distribution networks. |
| XV week exercises | Series and parallel compensation. |
| Student workload | Weekly: Structure: 3 hours (Lectures) + 4 hours (Independent work, studying, task solving) During the semester: Teaching and final exam: (7 hours) x 15 = 105 (hours) Necessary preparations before the start of the semester (administration, enrollment, validation): 2 x 10 (hours) Total workload for the subject: 5 x 30 = 150 (hours) Additional work for exam preparation in the retake exam period, including taking the retake exam from 0 to 36 hours (remaining time from the first two items to the total workload for the subject 180 hours): 25 (hours) Load structure: 105 hours (Teaching) + 20 hours (Preparation) + 25 hours (Additional work) |
| Per week | Per semester |
| 5 credits x 40/30=6 hours and 40 minuts
3 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 1 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 | Regular attendance of classes, participation in exercises, completion of quizzes, and final exam. |
| Consultations | Appointment by agreement. Structure: 3 hours (Lectures) + 4 hours (Independent work, studying, task solving) During the semester: Teaching and final exam: (7 hours) x 15 = 105 (hours) Necessary preparations before the start of the semester (administration, enrollment, validation): 2 x 10 (hours) Total workload for the subject: 5 x 30 = 150 (hours) Additional work for exam preparation in the retake exam period, including taking the retake exam from 0 to 36 hours (remaining time from the first two items to the total workload for the subject 180 hours): 25 (hours) Load structure: 105 hours (Teaching) + 20 hours (Preparation) + 25 hours (Additional work) Prof. Dr. Jadranka Radović, Electric Distribution Systems, Podgorica 2017 D. B. CAMPBELL Electric Power Distribution Systems Operations. April 1990 Two quizzes are scored with 30 points each, totaling 60 points. The final exam is scored with 40 points. A passing grade is obtained if at least 50 points are cumulatively accumulated. |
| Literature | Prof. Dr. Jadranka Radović, Electric Distribution Systems, Podgorica 2017 D. B. CAMPBELL Electric Power Distribution Systems Operations. April 1990 |
| Examination methods | Two quizzes are scored with 30 points each, totaling 60 points. The final exam is scored with 40 points. A passing grade is obtained if at least 50 points are cumulatively accumulated. |
| Special remarks | None. |
| Comment | None. |
| 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 / / ELEKTROENERGETSKI KABLOVI
| Course: | ELEKTROENERGETSKI KABLOVI/ |
| Course ID | Course status | Semester | ECTS credits | Lessons (Lessons+Exercises+Laboratory) |
| 12774 | Obavezan | 1 | 5 | 2+1+0 |
| Programs | |
| Prerequisites | There are no prerequisites from other subjects. |
| Aims | In this course, students become acquainted with the basic characteristics of power cables, methods for calculating and measuring their characteristics, calculating current loads, and selecting power cables under specific operating conditions. |
| Learning outcomes | Upon completion and passing of the course, the student will be able to: Understand the historical development of power cables and contemporary trends in their production. Identify and comprehend the advantages and disadvantages of power cables compared to overhead power lines, along with all relevant technical and economic parameters for their application in distribution and transmission networks. Classify and compare power cables based on all relevant energy, functional, structural, and design criteria. Recognize and identify the structural elements of power cables and their specifics concerning voltage levels and installation conditions. Calculate the parameters of power cables and conduct their measurements in laboratory and operational conditions. Compute the current load of cables with different constructional characteristics under various operational conditions and make their selection and verification based on relevant technical-economic criteria. Define and apply testing methods for power cables and methods for detecting cable faults in laboratory and operational conditions. Apply acquired knowledge to solve problems related to the application and operation of power cables in transmission and distribution networks of real power systems. |
| Lecturer / Teaching assistant | Doc. dr Snežana Vujošević; dr Vladan Durković |
| Methodology | Lectures, computational exercises, seminars, 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 | About the power system. The role of power cables in the power system. Historical development of power cables. |
| II week exercises | |
| III week lectures | Structural elements of power cables. |
| III week exercises | |
| IV week lectures | Comparison of overhead power lines and power cables in terms of environmental impact, cost-effectiveness, reliability, types of operation, current load, reactive power, lifespan, and ground fault current. |
| IV week exercises | |
| V week lectures | |
| V week exercises | |
| VI week lectures | Electrical parameters of power cables. Electrical resistance of power cables. Inductance of power cables. |
| VI week exercises | |
| VII week lectures | Electrical parameters of power cables. Capacitance. Cable charging current. Cable charging power. |
| VII week exercises | |
| VIII week lectures | Midterm exam |
| VIII week exercises | |
| IX week lectures | Electrical calculation of power cables. Models of power cables with distributed parameters. Models of power cables with lumped parameters. Equivalent circuits of power cables. |
| IX week exercises | |
| X week lectures | Types of power cables. Low-voltage power cables. Medium-voltage power cables. |
| X week exercises | |
| XI week lectures | High-voltage power cables, Cryogenic power cables, Superconductive power cables, Cryoresistive power cables, Direct current cables. |
| XI week exercises | |
| XII week lectures | Installation of power cables. Losses in power cables. Testing of power cables. Determination of fault locations in power cables. |
| XII week exercises | |
| XIII week lectures | Retake of midterm 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: 5 credits x 40/30 = 6 hours and 40 minutes; Structure: 2 hours of theoretical lectures; 1 hour of exercises; 3 hours and 40 minutes of independent work, including consultations. Teaching and final exam: 6 hours and 40 minutes x 16 = 106 hours and 40 minutes. Necessary preparation before the start of the semester (administration, enrollment, verification): 6 hours and 40 minutes x 2 = 13 hours and 20 minutes. Total workload for the course: 5 x 30 = 150 hours. Additional work for exam preparation in the retake exam period, including retaking the exam, from 0 to 30 hours (remaining time from the first two items to the total workload for the course). Load structure: 106 hours and 40 minutes (teaching), 13 hours and 20 minutes (preparation), 30 hours and 0 minutes (additional work). |
| 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 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 | Students are required to attend classes, take the quiz, and complete and submit seminar papers. |
| Consultations | In the time slot following the lecture. |
| Literature | Osnovi elektroenergetske kablovske tehnike, Dragan Tasić, Elektronski fakultet Niš 2001. Elektroenergetski kablovi, Borislav N. Lalević, Beograd 1997. |
| Examination methods | The mid term exam 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 / / UPRAVLJANJE EES
| Course: | UPRAVLJANJE EES/ |
| Course ID | Course status | Semester | ECTS credits | Lessons (Lessons+Exercises+Laboratory) |
| 12775 | Obavezan | 2 | 6 | 3+1+1 |
| Programs | |
| 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 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 | |
| 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 / / RELEJNA ZAŠTITA
| Course: | RELEJNA ZAŠTITA/ |
| Course ID | Course status | Semester | ECTS credits | Lessons (Lessons+Exercises+Laboratory) |
| 12776 | Obavezan | 2 | 5 | 3+2+0 |
| Programs | |
| 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 2 excercises 1 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 / / KVALITET ELEKTRIČNE ENERGIJE
| Course: | KVALITET ELEKTRIČNE ENERGIJE/ |
| Course ID | Course status | Semester | ECTS credits | Lessons (Lessons+Exercises+Laboratory) |
| 12777 | Obavezan | 2 | 5 | 2+1+0 |
| Programs | |
| Prerequisites | Basics of Electrical Engineering II, Theory of Electric Circuits |
| Aims | The primary objectives of studying this subject are to familiarize students with the basic indicators of electrical power quality, international standards and recommendations in the field of electrical power quality, advanced techniques for monitoring electrical power quality, and theoretical and practical aspects of harmonic analysis. |
| Learning outcomes | After completing this exam, the student will be able to: understand basic parameters of electrical power quality, comprehend international standards and recommendations in the field of electrical power quality, grasp the subject, objectives, and significance of electrical power quality monitoring, understand the causes and consequences of voltage transients, comprehend the adverse effects of voltage sags, understand the sources of higher harmonics and the negative effects of harmonic distortion in the network, understand the fundamentals of harmonic analysis and methods for measuring higher harmonics, understand methods for reducing or eliminating higher harmonics. |
| Lecturer / Teaching assistant | Prof. dr Vladan Radulović |
| Methodology | Lectures, computational exercises, exercises in computer classroom and laboratory. Consultations. |
| Plan and program of work | |
| Preparing week | Preparation and registration of the semester |
| I week lectures | Introduction: Quality of supplied electrical energy, generation of voltage quality problems, consumer responses to occurrences of poor voltage, classification of voltage distortions, indicators of electrical energy quality. |
| I week exercises | Basic Concepts: Electrical Power Quality. |
| II week lectures | Terms and Definitions of Quality Parameters: Basic voltage parameters, waveform distortions, transient transition processes (voltage sag, voltage swell, voltage interruption, undervoltage, overvoltage). |
| II week exercises | Harmonic Analysis (Fourier Transformation). |
| III week lectures | Terms and Definitions of Quality Parameters: Steady state of the system (DC offset, higher harmonics, interharmonics, voltage fluctuations, noise), overview of electrical power quality parameters. |
| III week exercises | Waveform distortions of current and voltage. |
| IV week lectures | Standards and Recommendations: IEC 61000, EN 50160, IEEE 519, applicable standards and recommendations in Montenegro. Standards and Recommendations: IEC 61000, EN 50160, IEEE 519, applicable standards and recommendations in Montenegro. |
| IV week exercises | Transient transition processes. |
| V week lectures | Monitoring of electrical power quality: objectives of monitoring, subject of monitoring, selection of monitoring location, duration of monitoring, localization of disturbance sources, advanced measurement systems, continuous monitoring systems, intelligent monitoring systems. |
| V week exercises | K - factor of single-phase transformer. |
| VI week lectures | Voltage transients: classification of overvoltages, overvoltages caused by capacitor bank switching, ferroresonance phenomenon, overvoltages caused by transformer energization in no-load condition. |
| VI week exercises | Sources of harmonic distortion. |
| VII week lectures | Voltage transients: basic principles of overvoltage protection, overvoltage protection devices, software packages for transient analysis. |
| VII week exercises | Voltage transients. |
| VIII week lectures | Voltage sags: negative effects of voltage sag occurrences, technical regulations regarding voltage sags, measurement and recording of voltage sags, examples of voltage sag measurement results, solving voltage sag problems. |
| VIII week exercises | Resonance (capacitor battery). |
| IX week lectures | Mid-semester exam |
| IX week exercises | Mid-semester exam |
| X week lectures | Higher harmonics: theoretical treatment of higher harmonics (Fourier transform, discrete Fourier transform, fast Fourier transform, windowed Fourier transform), fundamentals of harmonic analysis, definitions of harmonic indicators. |
| X week exercises | Introduction to passive filters - basic concepts. |
| XI week lectures | Higher harmonics: sources of higher harmonics, negative effects of higher harmonics in the network. |
| XI week exercises | Island Passive Filters. |
| XII week lectures | Higher harmonics: measurement of higher harmonics, methods for reducing or eliminating higher harmonics, overview of applicable standards and recommendations. |
| XII week exercises | Sources of higher harmonics and interharmonics. |
| XIII week lectures | Flicker: concept of flicker, nature of flicker, flicker limits. |
| XIII week exercises | Active filters - basic concepts. |
| XIV week lectures | Measurement of higher harmonics - presentation of modern measurement systems |
| XIV week exercises | Asymmetry and voltage sags. |
| XV week lectures | Safety when working with electrical voltage. |
| XV week exercises | Power factor compensation and voltage sag compensation. |
| Student workload | Total workload: 5 credits x 40 / 30 = 6 hours and 40 minutes Structure: 2 hours of lectures 1 hour of computational exercises 3 hours and 40 minutes of independent work, including consultations Teaching and final exam: (6 hours and 40 minutes) x 15 weeks = 100 hours Preparation before the start of the semester (administration, enrollment, verification): 2 x (6 hours and 40 minutes) = 13 hours and 20 minutes Total workload for the course: 5 x 30 = 150 hours Additional work for exam preparation in the retake exam session, including taking the retake exam, from 0 to 36 hours and 40 minutes (remaining time from the first two items to the total workload for the course) Workload structure: Teaching (100 hours) + Preparation (13 hours and 20 minutes) + Additional work (36 hours and 40 minutes) |
| 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 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 | Students are required to attend lectures, complete laboratory exercises, take mid-semester exams, and finish the final exam. |
| Consultations | Consultations are held once a week, either individually or in groups. |
| Literature | Vladimir Katić, Amir Tokić, Tatjana Konjić: Quality of Electrical Energy Mohammad A. S. Masoum, Ewald F. Fuchs: Power Quality in Power Systems and Electrical Machines |
| Examination methods | Laboratory exercises: 10 points Mid-semester exam: 40 points Final exam: 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 / / DISTRIBUTED SOURCES OF ELECTRICAL ENERGY
| Course: | DISTRIBUTED SOURCES OF ELECTRICAL ENERGY/ |
| Course ID | Course status | Semester | ECTS credits | Lessons (Lessons+Exercises+Laboratory) |
| 12778 | Obavezan | 2 | 5 | 3+1+1 |
| Programs | |
| 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 1 excercises 1 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 / / UZEMLJIVAČKI SISTEMI
| Course: | UZEMLJIVAČKI SISTEMI/ |
| Course ID | Course status | Semester | ECTS credits | Lessons (Lessons+Exercises+Laboratory) |
| 12779 | Obavezan | 2 | 5 | 3+1+1 |
| Programs | |
| Prerequisites | There are no prerequisites with other subjects. |
| Aims | This course introduces students to the role, types, and characteristics of grounding systems for facilities and elements in the power system. Special attention is given to the design of protective, working, and lightning grounding. Additionally, various methods for measuring characteristic parameters of grounding systems are studied, along with the influence of different factors on the obtained values. |
| Learning outcomes | Upon completion of this course, the student will be able to: 1. Understand the significance, location, role, and types of grounding systems. 2. Explain the impact of soil characteristics on grounding systems. 3. Describe the effects of currents on the human body. 4. Implement acquired knowledge in the design and implementation of protective grounding for high-voltage distribution facilities. 5. Explain methods for measuring characteristic parameters of grounding systems. 6. Apply different grounding models in both steady-state and transient regimes. 7. Design and analyze lightning protection and grounding systems. 8. Explain and analyze grounding systems for overhead transmission line poles. |
| Lecturer / Teaching assistant | Vladan Radulović, PhD - professor, Miloš Jelovac, MSc - assistant |
| Methodology | Lectures, computational exercises |
| Plan and program of work | |
| Preparing week | Preparation and registration of the semester |
| I week lectures | Definitions and classifications of grounding systems. Design of grounding systems. |
| I week exercises | Selection of grounding type. Defining initial conditions for the calculation of grounding systems |
| II week lectures | Soil characteristics. |
| II week exercises | Analysis of the effects of soil characteristics on the value of ground specific resistance. |
| III week lectures | Impact of currents on the human body. |
| III week exercises | Calculation of permissible current values through the human body. |
| IV week lectures | Determination of permissible touch and step voltages. |
| IV week exercises | Calculation of permissible touch and step voltages according to IEEE standards. |
| V week lectures | Design of protective grounding in high voltage substations. |
| V week exercises | Design of protective grounding in high voltage substations. |
| VI week lectures | Calculation of grounding resistance for a simple geometry grounding system. |
| VI week exercises | Calculation of grounding resistance for a simple geometry grounding system. |
| VII week lectures | Calculation of the resistance of mesh grounding systems. |
| VII week exercises | Calculation of the resistance of mesh grounding systems. |
| VIII week lectures | Characteristics of grounding systems in multi-layered soil. |
| VIII week exercises | Determination of characteristic parameters of grounding systems in multi-layered soil. |
| IX week lectures | Distribution of fault current in the grounding system. |
| IX week exercises | Calculation of fault current in the grounding system. |
| X week lectures | Determination of the reduction factor in the case of overhead power lines. |
| X week exercises | Calculation of the reduction factor for overhead power lines. |
| XI week lectures | Determination of the reduction factor in the case of cable lines. |
| XI week exercises | Calculation of the reduction factor for cable lines. |
| XII week lectures | Exposed ground potential rise. |
| XII week exercises | Calculation of exposed potential rise. |
| XIII week lectures | Measurement of characteristic parameters of grounding systems. |
| XIII week exercises | Analysis and interpretation of measurements of characteristic parameters of grounding systems. |
| XIV week lectures | Power grounding. Grounding of transmission line towers. |
| XIV week exercises | Determination of characteristic parameters of power grounding and grounding of transmission line towers. |
| XV week lectures | Transient characteristics of grounding systems. |
| XV week exercises | Calculation of transient characteristics of grounding systems. |
| 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 1 excercises 1 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 | Students are required to attend classes and complete seminar papers/exams. |
| Consultations | Every working day. |
| Literature | 1. Prezentacije sa nastave 2. J. Nahman: „Uzemljenje neutralne tačke distributivnih mreža“, Naučna knjiga, Beograd, 1980. 3. A.Muharemović, V. Madžarević, I. Džananović, A. Muharemović, M.Ramić: „Uzemljenje (Projektiranje i mjerenja, Zakonska regulativa)“, Univerzitet u Tuzli, Fakultet elektrotehnike, jun 2011 |
| Examination methods | Seminar paper/colloquium - 50 points. Final exam - 50 points. |
| Special remarks | No. |
| Comment | If necessary, classes can 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 / / ENERGETIKA I EKOLOGIJA
| Course: | ENERGETIKA I EKOLOGIJA/ |
| Course ID | Course status | Semester | ECTS credits | Lessons (Lessons+Exercises+Laboratory) |
| 12780 | Obavezan | 2 | 4 | 2+0+0 |
| Programs | |
| 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
2 sat(a) theoretical classes 0 sat(a) practical classes 0 excercises 3 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 / / RAČUNARSKE METODE U ELEKTROENERGETSKIM SISTEMIMA
| Course: | RAČUNARSKE METODE U ELEKTROENERGETSKIM SISTEMIMA/ |
| Course ID | Course status | Semester | ECTS credits | Lessons (Lessons+Exercises+Laboratory) |
| 13268 | Obavezan | 3 | 5 | 3+1+0 |
| Programs | |
| Prerequisites | No prerequisites required. |
| Aims | Through this course, students are introduced to the methods of modeling elements of the power systems depending on the analyzed problem and to current methods for calculating power systems in steady – state conditions (power flow calculation, state estimation) as well as in transient conditions (short circuits, open circuits) in the both transmission and distribution networks. |
| Learning outcomes | Upon successful completion of the course students will be able to: • Understand the method of modeling elements of power systems depending on the analyzed problem (power flows, faults, stability). • Understand the implementation of algorithms for calculating power systems. • Understand the specificities of methods for calculating power flows in transmission and distribution networks. • Understand the methods for calculating short and open circuits. • Implements basic algorithms for calculating the stability of power systems. • Analyzes the methods of implementing the static state estimation procedure. • Applies advanced matrix methods for the analysis of power systems. • Possesses the ability to research and present the results of their own analyses. |
| Lecturer / Teaching assistant | Vladan Durković, Lazar Šćekić |
| Methodology | Lectures, exercises, video presentations, computer simulations, consultations. |
| Plan and program of work | |
| Preparing week | Preparation and registration of the semester |
| I week lectures | Algorithms for forming network matrices: bus impedance matrix, bus admittance matrix, loop admittance matrix, influence of network changes on the network matrix shape. |
| I week exercises | Computer implementation of algorithms for formation and analysis of network matrices. |
| II week lectures | Elements and substation schemes of elements for stationary mode networks: generators, transformers (two-winding, three-winding, autotransformers, and regulating transformers), lines and consumers. The concept of injection |
| II week exercises | The influence of modeling methods on changes in the structure of network matrices. |
| III week lectures | Implementation of algorithms for calculating power flows and voltages states in transmission and distribution networks. |
| III week exercises | Implementation of algorithms for calculating power flows and voltages states in transmission and distribution networks. |
| IV week lectures | Power flow calculation in unbalanced electric distribution networks. Specialized algorithms for power flow calculation in radial networks. |
| IV week exercises | Computer implementation of algorithms for calculating power flows in electric distribution networks. |
| V week lectures | Energy and power loss calculation in power grids. Load profile. |
| V week exercises | Implementation of algorithms for calculating energy and power losses in power systems |
| VI week lectures | Mid-term exam |
| VI week exercises | Mid-term exam |
| VII week lectures | Modeling of multi-system overhead lines, cables, transformers, alternating machines and consumers for fault analysis purposes. Determination of parameters based on measured values. |
| VII week exercises | Computer implementation of the mentioned elements. |
| VIII week lectures | Short and open circuit calculation in a complex network. Formation of models and development of solution algorithms. |
| VIII week exercises | Short and open circuit computer analysis. |
| IX week lectures | International standards for short-circuit calculations. Equivalent network models for practical calculations. |
| IX week exercises | Computer short circuit calculation according to international standards. |
| X week lectures | Basic techniques for solving problems of static and transient stability. |
| X week exercises | Static and transient stability analysis of the power systems using computers. |
| XI week lectures | Power system security and fault analysis. Sensitivity factors. |
| XI week exercises | System security computer analysis. |
| XII week lectures | Static state estimation. Critical measurements. Optimization of measurement configuration. |
| XII week exercises | Computer implementation of static state estimation and determination of critical measurements and optimal measurement configuration. |
| XIII week lectures | Application of the Dijakstra method for solving complex systems. |
| XIII week exercises | Application of the Dijkoptike method for solving complex systems. |
| XIV week lectures | Basics of sparse matrix techniques in analysis of power systems. |
| XIV week exercises | Computer application of sparse matrix techniques in power systems analysis. |
| XV week lectures | Preparation for final exam. |
| XV week exercises | Preparation for final exam. |
| 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 | Students are required to attend classes and to test. |
| Consultations | Every working day from 10 to 12 AM. |
| Literature | |
| Examination methods | - Compulsory test: 50 points, - Final exam (written + oral): 20+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 / / FACTS AND HVDC POWER ELECTRONIC COMPONENTS
| Course: | FACTS AND HVDC POWER ELECTRONIC COMPONENTS/ |
| Course ID | Course status | Semester | ECTS credits | Lessons (Lessons+Exercises+Laboratory) |
| 13272 | Obavezan | 3 | 4 | 3+1+1 |
| Programs | |
| Prerequisites | There are no prerequisites with other subjects. |
| Aims | The course is designed to familiarize students with flexible systems for the control of alternating voltages and currents (FACTS), as well as with high-voltage direct current systems (HVDC). |
| Learning outcomes | Upon completion of this course, the student will be able to: - Understand the working principles of flexible systems for voltage and current regulation, - Understand the operation of HVDC systems, - Predict the negative impacts of the elements of the HVDC system on the network, - Perform a selection of HVDC and FACTS system configurations. |
| Lecturer / Teaching assistant | Assistant prof Martin Ćalasan, MSc Mihailo Micev and MSc Milos Jelovac |
| Methodology | Lectures, calculation exercises, demonstrative examples. Consultations. |
| Plan and program of work | |
| Preparing week | Preparation and registration of the semester |
| I week lectures | Introduction to FACTS and HVDC systems. High-power semiconductor elements. |
| I week exercises | Synchronous machines, asynchronous machines, and transformers as consumers/producers of reactive energy. |
| II week lectures | Devices for compensation of reactive energy. Static compensation devices. Synchronous compensator. |
| II week exercises | Devices for compensation of reactive energy. Static compensation devices. Synchronous compensator. |
| III week lectures | Parallel compensation. Basic principles of compensation. Thyristor-controlled reactance (TCR). Thyristor switched capacitors (TSC). |
| III week exercises | Parallel compensation. Basic principles of compensation. Thyristor-controlled reactance (TCR). Thyristor switched capacitors (TSC). |
| IV week lectures | Series compensation. Thyristor-controlled series compensators (TCSC). Thyristor switched series compensators (TSSC). |
| IV week exercises | Series compensation. Thyristor-controlled series compensators (TCSC). Thyristor switched series compensators (TSSC). |
| V week lectures | Regulation transformers. Thyristor-regulated transformers. |
| V week exercises | Regulation transformers. Thyristor-regulated transformers. |
| VI week lectures | Colloquium |
| VI week exercises | Colloquium |
| VII week lectures | Introduction to HVDC systems. Comparison of AC and DC transmission systems. |
| VII week exercises | Introduction to HVDC systems. Comparison of AC and DC transmission systems. |
| VIII week lectures | Current and voltage-controlled converters. Line-commutated converters. Harmonicas. Basic topologies. |
| VIII week exercises | Current and voltage-controlled converters. Line-commutated converters. Harmonicas. Basic topologies. |
| IX week lectures | Multilevel DC/DC conversion. |
| IX week exercises | Multilevel DC/DC conversion. |
| X week lectures | Line-commutated current controlled converters (CSC). Components of the CSC HVDC system. CSC-HVDC system configurations. Control of the CSC HVDC transmission system. |
| X week exercises | Line-commutated current controlled converters (CSC). Components of the CSC HVDC system. CSC-HVDC system configurations. Control of the CSC HVDC transmission system. |
| XI week lectures | Line-commutated HVDC topology. |
| XI week exercises | Line-commutated HVDC topology. |
| XII week lectures | Voltage-controlled HVDC systems (VSC). Components of the VSC-HVDC system. Configurations of VSC HVDC systems. Management of the VSC HVDC transmission system. |
| XII week exercises | Voltage-controlled HVDC systems (VSC). Components of the VSC-HVDC system. Configurations of VSC HVDC systems. Management of the VSC HVDC transmission system. |
| XIII week lectures | VSC and CSC multi-level HVDC systems. |
| XIII week exercises | VSC and CSC multi-level HVDC systems. |
| XIV week lectures | Grounding of the HVDC system. |
| XIV week exercises | Grounding of the HVDC system. |
| XV week lectures | Colloquium |
| XV week exercises | Colloquium |
| 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 1 excercises 0 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 | 1. M. Ćalasan, “Kompenzacija reaktivne energije u EES”, Elektrotehnički fakultet Podgorica, skripta, 2021. godine 2. M. Ćalasan, “HVDC sistemi”, Elektrotehnički fakultet Podgorica, skripta, 2021. godine 3. R.M. Mohan, K.V. Rajiv, Thyristor based FACTS controllers for electrical transmission systems, IEEE Press, 2002. 4. J. Arrillaga, Y.H. Liu, N.R. Watson, Flexible Power Transmission- The HVDC Options, John Wiley & Sons Ltd, 2007. 5. TRANSIT project, Deliverable 5.2: Training Curricula and course content portfolio, 2024. |
| Examination methods | Test I - 50 points, Test II - 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 / / DEREGULACIJA ELEKTROENER.SEKTORA I TRŽIŠTE EL.ENER
| Course: | DEREGULACIJA ELEKTROENER.SEKTORA I TRŽIŠTE EL.ENER/ |
| Course ID | Course status | Semester | ECTS credits | Lessons (Lessons+Exercises+Laboratory) |
| 13273 | Obavezan | 3 | 4 | 2+1+0 |
| Programs | |
| 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
2 sat(a) theoretical classes 0 sat(a) practical classes 1 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 / / OPTIMIZACIJA DISTRIBUTIVNIH SISTEMA
| Course: | OPTIMIZACIJA DISTRIBUTIVNIH SISTEMA/ |
| Course ID | Course status | Semester | ECTS credits | Lessons (Lessons+Exercises+Laboratory) |
| 13274 | Obavezan | 3 | 5 | 2+1+1 |
| Programs | |
| Prerequisites | No prerequisites required. |
| Aims | Through this course, students are introduced to the concepts of modern electricity distribution networks, the impact of the distributed generation on these networks and the role of the modern consumer. New methods of managing the distribution network (SCADA, EMS, AMR, DMS) and concepts of automation are presented. Various methods for calculating power flows and voltage states in the electricity distribution network, as well as its optimal reconfiguration, are analyzed. |
| Learning outcomes | Upon successful completion of the course students will be able to: • Understand the modern requirements that an electricity distribution system should meet. • Be familiar with the implementation of modern systems for measuring electricity consumption. • Be familiar with methods for optimal network reconfiguration. • Understand the basic structure of control systems for flexible electricity distribution system. • Understand methods for calculating optimal parameters for the operation of an electricity distribution network. • Understand the role of the relay protection in active electricity distribution networks. • Familiar with the methods and possibilities of demand management. |
| Lecturer / Teaching assistant | Vladan Durković |
| Methodology | Lectures, exercises, video presentations, computer simulations, consultations. |
| Plan and program of work | |
| Preparing week | Preparation and registration of the semester |
| I week lectures | Planning of electric power distribution systems. The impact of substation automation on planning. |
| I week exercises | Planning and automation of power distribution systems using computer. |
| II week lectures | Consumers. Load profile. Modern methods of measuring electricity consumption. |
| II week exercises | Consumers modeling and analysis of load profiles on a computer. |
| III week lectures | Configuration of primary and secondary power distribution network. Techno – economic optimization of operating parameters. |
| III week exercises | Techno – economic optimization of operating parameters. |
| IV week lectures | Optimal reconfiguration of the power distribution network. Classical and metaheuristic optimization methods. |
| IV week exercises | Computer implementation of classical and metaheuristic optimization methods. |
| V week lectures | Modern systems for managing the electricity distribution system (SCADA, EMS, AMR, DMS). |
| V week exercises | Modern systems for managing the electricity distribution system (SCADA, EMS, AMR, DMS). |
| VI week lectures | Mid-term exam |
| VI week exercises | Mid-term exam |
| VII week lectures | The use of intelligent systems for automation management. |
| VII week exercises | Intelligent systems for automation management. |
| VIII week lectures | Methods for calculating power flows and losses in the electricity distribution network. |
| VIII week exercises | Practical use and computer implementation of methods for calculating power flows and losses in the electricity distribution network. |
| IX week lectures | Voltage regulation in an active electricity distribution network. Optimization of the arrangement and control of reactive power compensators. |
| IX week exercises | Determining the optimal location and power of compensating devices using computer. |
| X week lectures | Optimal coordination of relay protection in the presence of distributed generation. |
| X week exercises | Optimal coordination of relay protection in the presence of distributed generation. |
| XI week lectures | Reliability of electricity distribution systems. Reliability indices. Methods for improving reliability. |
| XI week exercises | Reliability of electricity distribution systems. Reliability indices. Methods for improving reliability. |
| XII week lectures | The impact of distributed generation on the operation of the electricity distribution systems. |
| XII week exercises | Analysis of the impact of distributed generation on the operation of the electricity distribution systems |
| XIII week lectures | Management of consumption. Micro production. |
| XIII week exercises | Management of consumption. Micro production. |
| XIV week lectures | Management of consumption. Micro production. |
| XIV week exercises | Challenges of the developing electricity distribution systems in order to establish a competitive market for electricity suppliers. |
| XV week lectures | Preparation for final exam. |
| XV week exercises | Preparation for final exam. |
| 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 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 | Students are required to attend classes and to test. |
| Consultations | Every working day from 10 to 12 AM. |
| Literature | |
| Examination methods | - Compulsory test: 50 points, - Final exam (written + oral): 20+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 / / NAPREDNE ELEKTROENERGETSKE MREŽE
| Course: | NAPREDNE ELEKTROENERGETSKE MREŽE/ |
| Course ID | Course status | Semester | ECTS credits | Lessons (Lessons+Exercises+Laboratory) |
| 13275 | Obavezan | 3 | 4 | 2+0+1 |
| Programs | |
| Prerequisites | No prerequisites required. |
| Aims | Through this course, students are introduced to the concept of smart electrical power networks and systems, both transmission and distribution, the role of the System Operator in them, methods of planning and reconfiguration. They familiarize themselves with the concepts of modern electricity consumers, demand management, the impact of electric vehicles on the distribution network, as well as the concepts of microgrids and virtual power plants. |
| Learning outcomes | |
| Lecturer / Teaching assistant | Dr Vladan Durković – professor, Mr Lazar Šćekić- assistant |
| Methodology | Lectures, exercises, video presentations, consultations. |
| Plan and program of work | |
| Preparing week | Preparation and registration of the semester |
| I week lectures | Smart electrical power networks and systems. Concepts, prerequisites and perspective. |
| I week exercises | |
| II week lectures | Smart transmission networks. |
| II week exercises | |
| III week lectures | Management of smart networks. Role of the Transmission System Operator. |
| III week exercises | |
| IV week lectures | Smart electricity distribution networks. Role of the Distribution System Operator. |
| IV week exercises | |
| V week lectures | Structure, planning and reconfiguration of smart distribution networks |
| V week exercises | |
| VI week lectures | Mid-term exam |
| VI week exercises | |
| VII week lectures | Management of the power distribution network. Automation of substations. Voltage regulation. Coordination of relay protection. |
| VII week exercises | |
| VIII week lectures | Integration of distributed generation. |
| VIII week exercises | |
| IX week lectures | The role of the modern consumer of electrical energy. Demand side management |
| IX week exercises | |
| X week lectures | Advanced systems for measuring electricity consumption |
| X week exercises | |
| XI week lectures | Integration of electric vehicles as consumers into the electricity distribution network. |
| XI week exercises | |
| XII week lectures | Microgrids. Virtual power plant. |
| XII week exercises | |
| XIII week lectures | The impact of the development of information and communication technologies on smart power grids. |
| XIII week exercises | |
| XIV week lectures | Regulation and standardization of advanced networks. |
| XIV week exercises | |
| XV week lectures | Preparation for the final exam. |
| XV week exercises |
| Student workload | |
| Per week | Per semester |
| 4 credits x 40/30=5 hours and 20 minuts
2 sat(a) theoretical classes 1 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 | Students are required to attend classes and to test. |
| Consultations | |
| Literature | |
| Examination methods | - Compulsory test: 50 points, - Final exam (written + oral): 20+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 / / OPTIMIZACIJA POGONA ELEKTROENERGETSKIH SISTEMA
| Course: | OPTIMIZACIJA POGONA ELEKTROENERGETSKIH SISTEMA/ |
| Course ID | Course status | Semester | ECTS credits | Lessons (Lessons+Exercises+Laboratory) |
| 13276 | Obavezan | 3 | 5 | 2+1+1 |
| Programs | |
| Prerequisites | No prerequisites required. |
| Aims | Through this course, students are introduced to the problem of optimizing the operation of power system operation, optimal units scheduling and methods for their utilization. They also gain knowledge about generation costs and ways to optimize them, optimal reactive power flows and network reconfiguration. |
| Learning outcomes | Upon successful completion of the course students will be able to: • Understand the problem of optimizing the operation of power system. • Be familiar with methods for optimal utilization of units. • Successfully create optimization functions considering all criteria of interest for optimization. • Be familiar with and model energy production costs. • Understands the process of optimizing reactive power flows, load shedding and network synchronization in power distribution networks. • Utilizes modern software solutions for analyzing power systems. • Possesses the ability to research and present the results of conducted analyses. |
| Lecturer / Teaching assistant | Vladan Durković, Lazar Šćekić |
| Methodology | Lectures, exercises, video presentations, computer simulations, consultations. |
| Plan and program of work | |
| Preparing week | Preparation and registration of the semester |
| I week lectures | Economic aspects of power systems exploitation: Generator considerations. Specification of the general problem of unit engagement. |
| I week exercises | General problem of units’ engagement. |
| II week lectures | Classical methods for solving the problem of unit engagement: Priority List Method, Dynamic Programming Method |
| II week exercises | Dynamic Programming Method. |
| III week lectures | Metaheuristic methods for solving the problem of aggregate engagement: evolutionary algorithms, simulated annealing method, tabu search, particle swarm optimization |
| III week exercises | Analysis and computer implementation of metaheuristic search methods. |
| IV week lectures | Production under limited primary energy supply: Special fuel supply contracts. Input – oputput cost functions. |
| IV week exercises | Production under limited primary energy supply: Special fuel supply contracts. Input – oputput cost functions. |
| V week lectures | Solution by gradient method. Hard constraints and slow variables. Fuel engagement by Linear Programming method. |
| V week exercises | Solution by gradient method. Hard constraints and slow variables. Fuel engagement by Linear Programming method. |
| VI week lectures | Mid-term exam |
| VI week exercises | Mid-term exam |
| VII week lectures | Hydro – thermal coordination: Models of hydroelectric power plants. Problems of optimal utilization. Short – term hydro – thermal utilization problem. |
| VII week exercises | Short – term hydro – thermal utilization problem. |
| VIII week lectures | Gradient approach to solving the problem of optimal engagement of hydro and thermal units. Cascade hydroelectric power plants. Application of dynamic programming for hydro – electric thermal coordination problem. |
| VIII week exercises | Application of dynamic programming for the problem of hydro – thermal coordination. |
| IX week lectures | Cost modeling for budgeting and fuel planning for energy production: Introduction. Types of production cost programs. Probabilistic production cost programs. |
| IX week exercises | Types of production cost programs. Probabilistic production cost programs. |
| X week lectures | Economic dispatch taking into account the criterion of operational and safety in interconnection. |
| X week exercises | Economic dispatch taking into account the criterion of operational and safety in interconnection. |
| XI week lectures | Optimization of reactive power flows. |
| XI week exercises | Optimization of reactive power flows. |
| XII week lectures | Optimization of reactive power flows. |
| XII week exercises | Optimization of reactive power flows. |
| XIII week lectures | Optimal plan for load shedding. |
| XIII week exercises | Optimal plan for load shedding. |
| XIV week lectures | Optimal reconfiguration of electric distribution networks. |
| XIV week exercises | |
| XV week lectures | Analysis of uncertainty in electrical power systems. |
| XV week exercises | Analysis of uncertainty in electrical power systems. |
| 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 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 | Students are required to attend classes and to test |
| Consultations | Every working day from 10 to 12 AM. |
| Literature | |
| Examination methods | Compulsory test: 50 points, - Final exam (written + oral): 20+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 / / ODABRANA POGLAVLJA IZ ELEKTRIČNIH MAŠINA
| Course: | ODABRANA POGLAVLJA IZ ELEKTRIČNIH MAŠINA/ |
| Course ID | Course status | Semester | ECTS credits | Lessons (Lessons+Exercises+Laboratory) |
| 13277 | Obavezan | 3 | 3 | 2+0+0 |
| Programs | |
| 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 |
| 3 credits x 40/30=4 hours and 0 minuts
2 sat(a) theoretical classes 0 sat(a) practical classes 0 excercises 2 hour(s) i 0 minuts of independent work, including consultations |
Classes and final exam:
4 hour(s) i 0 minuts x 16 =64 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 4 hour(s) i 0 minuts x 2 =8 hour(s) i 0 minuts Total workload for the subject: 3 x 30=90 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) 18 hour(s) i 0 minuts Workload structure: 64 hour(s) i 0 minuts (cources), 8 hour(s) i 0 minuts (preparation), 18 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 |
