Ternopil Ivan Puluj National Technical University

Каф. електричної інженерії

Mathematical problems in electrical power engineering


1. Educational programs for which discipline is mandatory:

# Educational stage Broad field Major Educational program Course(s) Semester(s)
1 bachelor's 14. Електрична інженерія 141. Електроенергетика, електротехніка та електромеханіка (бакалавр) 4 8

2. The course is offered as elective for all levels of higher education and all educational programs.

3. Information about the author of the course

Full name Buniak Oleh
Academic degree Cand. Sc.
Academic title Assoc. Prof.
Link to the teacher`s page on the official website of the department
Е-mail (in the domain

4. Information about the course

Study hours structure Lectures: 28
Practical classes: 0
Laboratory classes: 14

Amount of hours for individual work: 63
ECTS credits: 3,5
Teaching language english
Form of final examination credit
Link to an electronic course on the e-learning platform of the university

5. Program of discipline

Description of academic discipline, its goals, subject of study and learning outcomes

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.

The place of academic discipline in the structural and logical scheme of study according to the educational program

Prerequisites. List of disciplines, or knowledge and skills, possession of which students needed (training requirements) for successful discipline assimilation

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".

Contents of the academic discipline

Lectures (titles/topics)

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 (topics)

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.

Learning materials and 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.

6. Policies and assessment process of the academic discipline

Assessment methods and rating system of learning results assessment

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.

Table of assessment scores:

Assessment scale
(100 points)
(4 points)
90-100 Excellent А
82-89 Good B
75-81 C
67-74 Fair D
60-66 E
35-59 Poor FX
1-34 F
Approved by the department
(protocol №
on «