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Ternopil Ivan Puluj National Technical University

Факультет прикладних інформаційних технологій та електроінженерії

Кафедра електричної інженерії

Mathematical problems in electrical power engineering


Major 141 - Електроенергетика, електротехніка та електромеханіка (бакалавр)
Field of knowledge 14 Електрична інженерія
Academic degree bachelor's
Course type elective
special education
Study start course 4
Semesters 8
Form of education full-time
Study hours structure
28– lectures
14– laboratory classes
Amount of hours for individual work 63
ECTS credits 3,5
Form of final examination credit
Academic degree Cand. Sc.
Academic title Assoc. Prof.
Full name Buniak Oleh
Prerequirements (prerequisite courses)
The theoretical basis for mastering the discipline are: "Higher Mathematics", "Physics", "Theoretical foundations of electrical engineering", "Electrical machines", "Electrical part of stations and substations", "Fundamentals of electric drive", "Electrical systems and networks". 
Course goals and learning objectives
Course goals: students to master mathematical methods for solving problems of control of power systems and mastering the basics of modeling and calculation of electrical networks and electrical installations of consumers of power supply systems of industrial enterprises, cities and agriculture.
Learning objectives: the study of basic mathematical and software modeling tools, development and acquisition of practical skills of complex solution of problems of research and design of electric power systems on the basis of PC is provided. 
Course description
Lectures Topic 1. (Lecture 1-4). Methods of analysis of steady-state regimes.
Topic 2. (Lectures 5-7). Methods of analysis of transient modes.
Topic 3. (Lecture 8-9) Fundamentals of the theory of stability of energy systems.
Topic 4. (Lecture 10-11) Mathematical foundations of the theory of reliability of energy systems.
Topic 5. (Lecture 12-14) Methods for solving optimization problems of electric power.
Laboratory classes Topic 1. Development of components of the mathematical model of the electrical network.
Topic 2. Research of a linear electric network by a method of simple iteration.
Topic 3. Research of a linear electric network by Seidel's method.
Topic 4. Study of the stability of the automatic control system by the method of Mikhailov.
Topic 5. Calculation of the probability of trouble-free operation of the electrical network by the method of minimum cross sections.
Assessment criteria
Assessment by discipline is carried out in two modules. The first module: "Methods of analysis of steady-state modes" "Methods of analysis of transient modes". Maximum number of points: 41. The second module: "Fundamentals of the theory of stability of power systems", "Mathematical foundations of the theory of reliability of energy systems", "Methods of solving optimization problems of power". Maximum number of points: 34. Each module includes: successful completion and defense of laboratory work, development of topics for self-study, test control. 
Recommended reading list. Subject Resources
1. Mathematics Applied to Engineering and Management. Edited by Mangey Ram and S.B. Singh. - Taylor and Francis Group. - 2019.
2. Stefan Paszek, Andrzej Boboń, Sebastian Berhausen, Łukasz Majka. Synchronous Generators and Excitation Systems Operating in a Power System. Measurement Methods and Modeling. - Springer. - 2019.
3. Buniak O. Mathematical problems in electrical power engineering [electronic resource]: // Institutional repository Atutor (discipline code ID 5112): official site of Ternopil National Technical University - Ternopil, 2018. 
Course author
Cand. Sc., Assoc. Prof. Buniak Oleh 
Дата останнього оновлення: 2020-11-14 09:35:52