Budapest University of Technology and Economics, Faculty of Electrical Engineering and Informatics

Dr. Balázs Rakos

Dr. János Hamar 

Matematics G2 (BMETE93BG02)

A kötelező előtanulmányi rend az adott szak honlapján és képzési programjában található.

Competencies Acquired Through Successful Completion of the Subject

A. Knowledge

1. Knows the commonly used terminology of electrical engineering and electromechanics.

2. Understands the fundamental laws related to direct current circuits, as well as the concepts of source, load, directional systems, and power. Knows the principle of constructing a lumped element model, circuit calculations, and the concepts of no-load, short-circuit, nominal operation, and load characteristic curves. Familiar with the basic engineering applications related to the topic.

3. Understands the behavior of electric and magnetic fields in materials, the calculation method of magnetic circuits, the skin effect, and the concepts of arcing and breakdown. Knows the operating principle of magnetic switches and relays.

4. Understands transient phenomena in passive circuits.

5. Knows the theory of single-phase alternating current circuits, the concepts of reactance, admittance, and impedance, as well as phasor diagrams. Understands the phenomenon of resonance and the concepts of active, reactive, and apparent power. Familiar with the basic engineering applications related to the topic.

6. Knows the concepts of multiphase circuits, n-phase symmetrical networks, three-phase (3P) networks, star (Y) connection, and delta (Δ) connection, as well as the power relationships in 3P cases.

7. Familiar with concepts related to basic electrical instruments and measurements.

8. Understands the fundamentals of electromechanical converters.

9. Knows the operating principles of transformers.

10. Understands the structural composition and operation of asynchronous machines.

11. Knows the structure and operation of synchronous machines.

12. Understands the structure and operation of direct current machines.

13. Familiar with the types and operation of basic power electronic converters.

14. Knows the principles of electrical drives and the related calculation methods.

B. Ability

1. Capable of describing real systems using abstract, lumped-element circuit models.

2. Able to describe processes occurring in electromechanical systems using mathematical models.

3. Capable of multi-faceted analysis of electromechanical systems and processes.

4. Able to represent electrical processes in diagrams (time functions, phasor diagrams, etc.).

5. Capable of identifying simpler electrical problems, uncovering and formulating the theoretical and practical background necessary for their solutions, and solving them using learned practical applications.

6. With knowledge of information technology, capable of solving complex, computationally intensive tasks.

7. Able to express thoughts in an organized manner both verbally and in writing.

C. Attitude

1. Collaborates with instructors and fellow students in expanding knowledge.

2. Continuously expands knowledge through ongoing learning.

3. Open to the use of information technology tools.

4. Strives to understand and routinely use the toolset necessary for electrical problem-solving.

5. Aims for accurate and error-free problem-solving.

6. Seeks to apply the principles of energy efficiency and environmental awareness in solving electromechanical tasks.

D. Independence and Responsibility

1. Independently considers and solves tasks and problems based on given resources.

2. Openly accepts well-founded critical feedback.

3. In certain situations, collaborates with peers as part of a team to solve tasks.

4. Applies a systems approach in thinking.

A. Detailed Description of Performance Evaluations Conducted During the Semester:

1. Partial Performance Evaluation (small midterm tests): A complex evaluation method for the competencies related to knowledge, ability, attitude, as well as independence and responsibility in the subject, manifested in the form of individually written small midterm tests at the beginning of laboratory practices. The aim is to encourage continuous learning, progress with the material, and develop problem-solving and calculation skills.

2. Partial Performance Evaluation (active participation): A simplified evaluation method for the competencies related to knowledge, ability, attitude, as well as independence and responsibility in the subject, manifested in the form of a prepared appearance and active participation in the practice process, including leading example solutions in front of students upon request. The uniform evaluation principles are jointly determined by the course coordinator and the lecturer of the subject.

The condition for obtaining a signature is that the student must achieve at least 50% of the available points for each of the entry question sets in point 1 and successfully complete the required 6 laboratory practices, as well as submit the homework without errors.

B. Performance Evaluation Conducted During the Exam Period (Exam)

Elements of the exam:

1. Written Performance Evaluation (summative academic performance evaluation): A complex, written evaluation method for the competencies related to knowledge and ability in the subject, presented in the form of an exam paper. The paper primarily focuses on the application of acquired knowledge, placing emphasis on problem recognition and solution, meaning that both theoretical and practical (calculation) tasks must be solved during the performance evaluation. The content of the material serving as the basis for evaluation is determined by the course coordinator and the lecturer of the subject.

The electronic notes and slides provided, plus the following literature 

1. A. Veltman, D.W. J. Pulle, R.W. De Doncker: Fundamentals of Electrical Drives, Springer, 2007. ISBN 978-1-4020-5503-4.

2.       Austin Hughes and Bill Drury, Electric Motors and Drives: Fundamentals, Types and Applications, 2013, ISBN-10: 0080983324.

3.       Slobodan N. Vukosavic, Electrical Machines (Power Electronics and Power Systems), Springer; 2013, ISBN-10: 1461403995.