# Topics for the Final State Examination of the Bachelor Study Program Electrical Engineering, Power Engineering and Management

## Applied electrical engineering, Electrical Engineering and Management

### Major theoretical areas

- Solving systems of linear equations, Gaussian elimination method. Vector space of solutions of an homogeneous system. Linear dependence and independence of vectors, base of a vector space, matrices, basic operations with matrices. Rank of a matrix, Frobenius theorem about the solvability of the system of linear equations. Inverse matrix, determinant. (A0B01LAA)
- Functions of one variable, limit and continuity of functions, derivative, its properties and meaning. The connection of derivative to behaviour of a function. Local and global extrema. Antiderivative, definite integral. Integration methods: substitution, integration by parts. Use and meaning of an integral. (A0B01MA1)
- Series of numbers and functions. Power series, radius of convergence. Expanding functions in power series with a given centre. Fourier series, sine, cosine and complex Fourier series. Periodic extensions of a function by means of Fourier series. (A1B01MA2) .
- First order ordinary differential equations. Separations of variables. Variation of a parameter. Use of Laplace transform to solve systems of differential equations. (A0B01MA1, A1B15MAA)
- Functions of more variables, continuity, directional and partial derivatives of higher order, local extrema, extrema with constraints, double and triple integral. (A1B01MA2).
- Mechanics – Newton’s laws, rotational motion, conservation laws. Velocity, acceleration, linear momentum, force. Kinematics and dynamics of the system of n-particles and rigid body. Equation of motion. Rotational motion (torque, angular momentum, moment of inertia). Work and energy. (A1B02FY1)
- Temperature, heat, kinetic theory, ideal gas law. Work, internal energy. 1st and 2nd law of thermodynamics, entropy. Classification of waves, phase and group velocity, waves dissipation and dispersion, dispersion relation. Wave equation. Addition of waves, Huygen´s – Fresnel´s principle, near field and far field, diffraction of waves, Doppler´s effect (A1B02FY2).
- Introduction to quantum mechanics – black body radiation, photoelectric effect, Compton’s effect, Bohr’s model of atom. Wave properties of particles, Schroedinger´s equation, uncertainty principle, particle in a potential well, tunnel effect, quantum numbers, band theory of solids. Introduction to nuclear physics, radioactivity. Subnuclear particles. Accelerators, nuclear fusion and fission (A1B02FY2).
- Electromagnetic field and its energy. Maxwell equations, Maxwell equations in integral and differential form – explanation of individual laws (Gauss theorem, Amper’s law, Biot-Savart‘s law) on examples of simple geometric structures – Electrostatic field around charged balls, planes and lines. Power and energy in electromagnetic field, energy density. Particles motion in field of force. (A1B17EMP)
- DC amplifiers, baseband, RF. Oscillators, modulators and demodulators. Mixers, superheterodyne (A1B37KEL).
- Elements of electrical circuits, electrical circuit analysis, resistors, capacitors, inductors, coupled inductors, circuit equations – Kirchhoff’s circuit laws, mesh analysis, nodal analysis. Sinusoidal steady state, voltage and current phasors, phasor diagrams, complex immittances. (A1B31EOS)
- Transient analysis, unit impulse response, unit step response, transients in the first and higher order circuits. Frequency response, relations between time domain and frequency domain, modulus and phase frequency response. (A1B31EOS)
- Basic instruments for measurement of electrical voltages and currents. Measurement of frequency, measurement of power and electrical energy consumption (A1B38EMA).
- Algorithm and its characteristics, algorithm formulation methods. Variable, expressions, control structures, procedures, functions, iterative and recursion calculations. Text and binary files, pointers, static and dynamic data structures. (A0B36PRI)
- Programming languages: Syntax and semantics, standard data types, structured field data types; functions and their parameters, procedures. Structured programming. C language; basic data types, language concept (A0B36PRI).
- Microprocessors and microcomputers for control of technological processes, basic parts, programming and design of microcomputers for industrial conditions (A1B13PPS).
- Principles of macroeconomics, GDP, inflation, unemployment and business cycle (A1B16MME).

### Major special areas

- Conductive, semiconductive, insulating and magnetic properties of materials and their connection with technology. Organic insulators and dielectrics, materials for printed circuit boards. Materials for magnetic circuits. Lead-free solders and electrically conductive adhesives (A1B13MVE).
- Basic semiconductive structures. Power PIN and Schottky diodes. Current controlled components. Thyristors SCR, GTO, GCT, IGCT (A1B13VST).
- Voltage controlled components (VDMOS, TMOS). IGBT, structure and parameters. Power passive components (A1B13VST).
- Types and technology of winding of electrical machines, technology of fabrication of magnetic circuits of electrical machines. Insulating systems of electrical machines. Fabrication of power semiconductor equipment (A1B13VVZ).
- Transformers, principle and arrangements, features and characteristics. Basic operating conditions, parallel operation, winding connections. Rotating AC and DC machines, their principles and arrangements, basic equations, features and characteristics, practical use. Starting and speed control, deceleration and braking (A1B14SP1).
- Electrical switching apparatus operational principles. Switching theory. Switch and switching circuit interaction. Switching arc basic characteristics. Short circuits breaking. Recovery voltage and switching over-voltage. Low inductive and capacitive currents breaking. Protecting apparatus for low voltage networks (A1B14SP1).
- Rectifiers in point and in bridge connection, reversible rectifiers, control pulse generators. AC-to-AC and DC-to-DC converters, voltage, current, and resonance inverters, frequency converters, matrix converters, cooperation of power semiconductor converters with DC and AC motors (A1B14VE1)
- Classification of electric drives. Motion equation. Static and dynamic behaviour of a controlled drive. Block schemes of drive control with DC and AC motors. Principle of a scalar, vector ad direct torque control for induction motor (A1B14PO1)
- Production machines types, production machines structure and operational characteristics, power plants and substations devices overview, sources operational modes, impact of their operation on the environment. (A1B15EN1)
- High voltage measuring technique, insulation systems, their dielectric strength and diagnostics, insulation co-ordination, electrical discharges types, high voltage measurement, overvoltage and protections in MV and HV systems (A1B15EN1)
- Distribution system components, mechanical and electrical parameters, voltage drops and power losses, network steady state solving, system dimensioning with respect to the steady state. Cable and overhead power lines, technical parameters. (A1B15EN2).
- Distribution system failure states, failure quantities significant values, system dimensioning, protection, dimensioning and grounding. Protection against overvoltage in the LV system (A1B15EN2).
- Electrical stations, typical diagrams, manipulations, operational attributes and maintaining, auxiliary devices and stations self-consumptions. (A1B15EN2).

### Minor special areas for specialization Applied electrical engineering

- Converting of electrical energy into thermal energy and electrical energy, solar power plants. Methods of conservation of electrical energy (A1B13SVS).
- Construction of photovoltaic cells and modules. Transducers for photovoltaic systems, optimization of working conditions of a photovoltaic system (A1B13SVS).
- Control computer of electric drives, computer structure, and special hardware blocks. Relation between analogue signal processing and digital signal processing. Programming techniques and programming languages (A1B14MIS).
- Analogue signal processing and digital signal processing relation, time sampling, amplitude quantization (A1B14MIS).
- Light technical quantities and their measurement, light radiation and visual comfort, light sources and luminaires, inside and outside spaces lighting. (A1B15EN3)
- Heat technical quantities and their measurement, heat exchange, heating kinds, electrical furnaces, thermal comfort and energy savings. (A1B15EN3).

### Minor special areas for specialization Electrical Engineering and Management

- Fundamentals of enterprise management, managerial functions. Company organisational structure. Consumers’ and producers’ behaviour. Cost. Profit. Market failures. (A1M16MME).
- Fundamentals of accounting. Assets, liabilities, cost and revenues. Financial statements and their structure (A1B16EKP).
- Financial calculus, investment decision making and criteria of economic effectiveness (A1B16UFI)
- Tools and techniques for project management, feasibility study (A1B16RIP)
- Balance sheet, profit and loss account and their analysis. Financial analysis of firm. Budgets and cost calculation. (A1B16UFI)
- Legal enactments in business, business liabilities, business companies, civic liabilities, discretions and duties of business persons (A1B16PAP).