**Teaching**is performed during the

**first two years of study**, while the

**third year**is entirely for the

**work on doctoral thesis**.

**In the first year of study**, student chooses

**three courses from the first year of their chosen domain (Theoretical electrical engineering)**.

**In the second year**, student chooses

**three courses from the group of all elective courses**at second year of doctoral academic studies, regardless of the elective domain the course belongs to.

## 1. YEAR

##### Elective Block (3 out of 5)

**The name of the course:**Electromagnetics

**Code:**3DЕH1I01

**Number of classes per week:**

- Lectures: 3
- Exercises: 0

**ECTS:** 10

**Course outline:**

Electrostatics. Stationary and time-varying electromagnetic field. Integral and differential form of Maxwell's equations. Maxwell's equations in the complex domain. Electromagnetic properties of the medium. Boundary conditions. Electromagnetic field potentials in the homogenous media. Painting's theorem. Analytical methods for calculation of the electromagnetic fields - method of separation of variables, application of the complex variable functions (conformal mapping). Numerical methods for calculation of electromagnetic fields - finite different method, finite element method (FEM), finite difference time domain method (FDTD), equivalent electrodes method (EEM), hybrid boundary element method (HBEM). Plane-wave propagation (in vacuum, dielectrics, imperfect conductors, ferrites and layered media). Wave polarization. Propagation of electromagnetic waves. Fresnel's coefficients. TEM, TE and TM guided waves. Electromagnetic radiation and antennas.

**The name of the course:**Electric Circuits Theory

**Code:**3DЕH1I02

**Number of classes per week:**

- Lectures: 3
- Exercises: 0

**ECTS:** 10

**Course outline:**

Topological electric circuit analysis. Analysis in time and frequency domain. Analogue circuits with losses. Circuits with distributed parameters. Discrete circuits. Graph theory. Computer aided circuit analysis.

**The name of the course:**Antennas and Electromagnetic Waves Propagation

**Code:**3DЕH1I03

**Number of classes per week:**

- Lectures: 3
- Exercises: 0

**ECTS:** 10

**Course outline:**

Electromagnetic properties of media. Spherical, cylindrical and plane electromagnetic waves (in the free space, dielectrics, and stratified media). Wave polarization. Propagation of electromagnetic waves. Fresnel coefficients. TEM, TE and TM guided waves. Electromagnetic radiation and antennas. Current distribution. Hallén's integral equation. Pocklington's integral equation. Radiation pattern. Antenna gain. Radiation resistance. Transmitting and receiving antenna. Antenna arrays.

**The name of the course:**Electromagnetic Compatibility

**Code:**3DЕH1I04

**Number of classes per week:**

- Lectures: 3
- Exercises: 0

**ECTS:** 10

**Course outline:**

Natural and artificial sources of electromagnetic interference. Definitions of EMC, EMI, EMD, EMS. Requirements, regulations and standards in different fields. Limitations and advantages of EMC requirements. Design of circuits and devices in accordance with the EMC requirements. Radiated emissions and conducted emissions. The principles and techniques of design. Selection of configurations and components. Separation, shielding, grounding, filtering. Cables, connectors, contact protection. Protective chokes to limit the current and to reduce the harmonics in order to improve power quality. Electrostatic discharge (ESD) and practical ways of solving problems. Disturbances in power systems and EMC requirements.

**The name of the course:**Static Electricity

**Code:**3DЕH1I05

**Number of classes per week:**

- Lectures: 3
- Exercises: 0

**ECTS:** 10

**Course outline:**

Phenomenon of static electricity in technological processes. Theory of ignition of flammable mixtures. Theory of static electricity discharges from conducting and dielectric surfaces. High voltage generation. Modeling of industrial and electrostatic filters. Dangers from static electricity during transportation and storage of flammable and explosive materials. Techniques for measuring electrostatic charges, fields and potentials. Protection measures and elimination of static electricity in technological processes.

##### Obligatory

**The name of the course:**Scientific and Research Work 1

**Code:**3DNIR1

**Number of classes per week:**

- Study and research work: 11

**ECTS:** 30

**Course outline:**

Specification for the book of courses

## 3. YEAR

##### Obligatory

**The name of the course:**Scientific and Research Work 3

**Code:**3DNIR2

**Number of classes per week:**

- Study and research work: 11

**ECTS:** 30

**Course outline:**

Specification for the book of courses

**The name of the course:**Doctoral Thesis

**Code:**3DZR

**Number of classes per week:**

- Lectures: 0
- Exercises: 0

**ECTS:** 30

## 2. YEAR

##### Elective Block (3 out of 82)

##### Courses from the chosen domain (Theoretical electrical engineering)

**The name of the course:**Methods for Steady-state Electromagnetic Fields Calculation

**Code:**3DEH2I01

**Number of classes per week:**

- Lectures: 3
- Exercises: 0

**ECTS:** 10

**Course outline:**

Electromagnetic field theory. Electromagnetic problems classification in terms of time dependence. Equations of the steady-state electromagnetic field. Analytical methods (image theorem, method of separation of variables, conformal mapping). Approximate and numerical methods (estimation method, Howe’s method, finite difference method, finite element method, boundary element method, method of fictitious sources, equivalent electrodes method). Development and application of own software tools and application of commercial software for the electromagnetic field analysis.

**The name of the course:**Inverse problems in Electromagnetics

**Code:**3DЕH2I02

**Number of classes per week:**

- Lectures:3
- Exercises:0

**ECTS:** 10

**Course outline:**

• Introduction: Electromagnetic field theory. Static, stationary and dynamic EM fields. Mathematical terms: Jacobi matrix, Hessian matrix, local and global extrema of functions. Direct and inverse problems. The term of objective function.• Establishing the main concepts in inverse problem formulation: defining a task, setting a mathematical model of a physical problem, defining an objective function and boundaries, selecting the optimization method, implementing an algorithm, analyzing the obtained solution, correcting, testing and applying the optimal solution.• Classification of optimization methods. Deterministic methods: Simplex method, Gradient descent algorithm, Newton's method. Variable metric methods: Gauss-Newton and Levenberg-Marquardt algorithms.• Stochastic methods. Evolutionary algorithms: Genetic Algorithm and Evolutionary Strategies. Hierarchical Evolutionary Strategies. Swarm Intelligence Optimization: Particle Swarm Optimization and Ant Colony Optimization.• Multi-criteria optimization. The concept of Pareto optimum.• Application of optimization algorithms to the test functions: Rosenbrock and Rastrigin. Comparison of the methods with respect to the computation time and the parameter variation effects on the optimization results. Inverse problems solving in applied electromagnetics (contactless material testing, electrocardiography, radars, magnetic resonance tomography, etc.). Publishing results in a leading journal.

**The name of the course:**Bounday Element Method in Electromagnetics

**Code:**3DЕH2I03

**Number of classes per week:**

- Lectures: 3
- Exercises:0

**ECTS:**10

**Course outline:**

• Numerical methods in Electromagnetics – introduction.

• Boundary element method (integral equations formulation, boundary elements discretization, sources modeling within the analysis domain, linear and square elements). Examples. • Hybrid boundary element method (theoretical background, system modeling, 2D and 3D problems analysis). Examples. • Modern software for electromagnetic fields analysis.

##### Groups of courses from all other domains

- Electrical Machines and Transformes - Selected Chapters
- Electrical Machines and Power Converters for Renewable Energy Sources
- Digital Control of Electrical Drives and Power Converters
- Computation of Lightning Overvoltages
- Power Cable Engineering
- Power Quality in Distribution Networks
- Active Distribution Networks and Microgrids

- Digital Processing of Audio Signal
- Digital Circuits and Systems Design
- Embedded Systems Design
- System-on-Chip Design
- DSP Architectures and Algorithms
- Electronic Circuits Testing
- Reconfigurable Systems Synthesis of Filters
- RF Systems Architectures
- Computer Vision
- Ultrasonic Technique

- Measurement and Acquisition Systems
- Industrial Measurement and Information Systems
- Measurement and Information Technologies
- Medical and Bioelectronic Measurement Technique

- Power Devices and Circuits
- Microsensors
- Reliability of Electronic Devices and Microsystems
- Prognosis of the Material Properties
- Advanced Electronic Ceramic Materials
- Software Engineering in Microelectronics
- Solar Systems, Technologies and Devices
- Technology, Design and Characterization of Microsystems
- Reliability Modeling of MOS Devices
- Influence of Radiation on Microelectronic Devices

- Mathematical Methods of Optimization
- Analysis of Numerical Algorithms
- Spectral graph theory
- Highly Efficient Iterative Methods
- Simulation of Industrial Systems
- Mathematical Models in Industry
- Mathematical Foundations of Statistical Learning and Applications

- Devices of Vacuum and Gas Electronics
- Medical Physics
- Semiconductor Devices and Technologies
- Sensors and Actuators
- Technological Processes in Gasses and Vacuum

- Design and Analysis of Parallel Algorithms
- Advanced Topics in Fault Tolerant System Design
- Bioinformatics
- Medical Informatics
- Applications of Spectral Techniques for Digital Devices Design
- Advanced Topics in Mobile and Ubiquitous Computing
- Advanced Topics in Computer Graphics
- Advanced Topic in Intelligent Systems
- Advanced Topics in Specialized Information Systems
- Mathematical Fundament of the Game Theory
- Advanced Topics in E-Learning Technologies
- Web Mining and Information Retrieval

- Audio Communications
- Antennas and Propagation
- Applications of Neural Networks in Telecommunications
- Satellite Communication Systems
- RF and Microwave Amplifiers
- Electromagnetic Compatibility and Signal Integrity
- Detection of Signals in Noise
- Communication Algorithms and Applications
- 5G and 6G Mobile Communications
- Information Theory and Source Coding
- Statistical Signal Processing
- Digital Communications Over Fading Channel
- Coherent Optical Telecommunication Systems
- Theory and Applications of Software Radio
- Advanced Modeling Techniques for RF Applications
- Free-space Optical Telecommunications
- Advanced Signal and Data Processing

- Digital Control Techniques
- Optimal Control
- Variable Structure Systems
- Distributed Computer Control
- Predictive Control
- Adaptive Control Systems

##### Obligatory

**The name of the course:**Scientific and Research Work 2

**Code:**3DNIR2

**Number of classes per week:**

- Study and research work: 11

**ECTS:** 30

**Course outline:**

Specification for the book of courses

Doctor of Science in electrical engineering and computing