Department of Energy Systems

Syllabus

• 1st Module: Elements of Linear Algebra
  • Matrices. Properties, matrix algebra, inverse and symmetric matrices
  • Determinants. Properties
  • Homogeneous and non-homogeneous linear systems, Cramer’s method and Gauss’s method
  • Vector spaces, linear independence, basis. Linear transformations, change of basis
  • Eigenvalues and eigenvectors
  • Emphasis is placed on applications. Visualization and computation software is used
• 2nd Module: Differential Calculus
  • Ordinary Differential Equations and Partial Differential Equations. Initial Value Problems and Boundary Value Problems.
  • Ordinary Differential Equations: Introductory concepts, existence and uniqueness of solution, well-posed problems, geometric characteristics of solutions (integral curves, direction fields).
  • 1st-order equations, solution methods.
  • Higher-order equations, general theory of n-th order linear equations.
• 3rd Module: Complex Analysis
  • Elements of complex analysis.
  • Differentiation and integration of complex functions. Harmonic functions.
• 4th Module: Transformations
  • Fourier series.
  • Laplace transform. Inverse Laplace transform.
  • Solving Differential Equations using the Laplace transform.
  • Convolution

Recommended Reading List

• Calculus of Several Variables and Introduction to Differential Equations, Papasachinopoulos G. – Schoinas Ch. – Mylonas N., 2016, Publisher: A. TZIALAS & SONS PUBLISHING CO. A.E.
• GENERAL MATHEMATICS II, Charalampos G. Zagouras, Dimitrios N. Georgiou, 2009, Publisher: NEON TECHNOLOGIES PRIVATE COMPANY
• MATHEMATICAL METHODS FOR ENGINEERS AND SCIENTISTS: Calculus of Several Variables and Vector Analysis, PAVLOS HATZIKONSTANTINOU, 2017, Publisher: GOTSIS KON/NOS & SIA EE, 2017
• Mathematics II 2nd edition, Rassias, 2017, Publisher: TSOTRAS AN ATHANASIOS
• Applied Mathematics for Economists and Engineers, Edition: 1/2021, Authors: Chalidias Nikolaos, BROKEN HILL PUBLISHERS LTD
• Advanced Engineering Mathematics, Edition: 1/2020, Authors: Zill Dennis G., BROKEN HILL PUBLISHERS LTD

Physics

Syllabus

• The scope of Physics. Basic concepts, methods, and procedures of Physical Science. Types of physical quantities. International System of Units. Operations with vector physical quantities.
• The force vector. Composition of forces. Newton’s laws. Types of forces in nature. Force fields. Work, energy, power.
• Reference frame. Kinematics of a material point. The velocity vector. The acceleration vector. Rectilinear motion. Circular motion. Complex motions.
• Mechanical oscillations. Description of an oscillation. Harmonic oscillations. Forced oscillations. Resonance. Mechanical waves. Description of a wave.
• Transverse and longitudinal waves. Huygens’ principle. Reflection, refraction, diffraction, interference of mechanical waves. Doppler effect.
• Electric field. Coulomb force. Electric field intensity. Electric field lines. Capacitance of a parallel-plate capacitor. Motion of a charged particle in a uniform electric field.
• Magnetic field. Magnetic field intensity. Magnetic induction. Magnetic field lines. Earth’s magnetic field. Magnetic materials. Magnetic flux.
• Motion of a charged particle in a uniform magnetic field. Applications of the Lorentz force (Determination of the specific charge of the electron, Hall effect).
• Electromagnetic field. Origin of the electromagnetic field. Electromagnetic induction. Self-induction. Coupling of electric and magnetic fields. Closed resonance circuit and open resonance circuit (dipole).
• Propagation of an electromagnetic field. Electromagnetic waves. Hertzian waves.
• Introduction to Quantum Physics, blackbody radiation. Photoelectric effect, Röntgen radiation, Compton effect.
• Introduction to the Theory of Relativity (Special and General).

Recommended Reading List

• Physics for Scientists and Engineers, Volume A, Giancoli, 2011, Publisher: A. TZIALAS & SONS PUBLISHING CO. A.E.
• Physics for Scientists and Engineers: Electricity and Magnetism, Light and Optics, Modern Physics, RAYMOND A. SERWAY, JOHN W. JEWETT, 2013, Publisher: KLEIDARITHMOS PUBLICATIONS LTD
• Physics. Theory & Practice, Zacharoulis A. Achilleas, Ionas Publishing Group, 2013
• Physics-Principles and Applications, Type: Textbook, Mazur Eric, 2019, Broken Hill Publishers Ltd

Thermodynamics

Syllabus

• Introduction, Basic Concepts
• Energy, Energy Transfer, and General Energy Analysis
• Properties of Pure Substances
• Energy Analysis of Closed Systems
• Energy Analysis of Control Volumes (Open Systems)
• The Second Law of Thermodynamics. Carnot Cycle
• Entropy, Isentropic Efficiencies, Mollier Diagrams.
• Gas Power Cycles (Otto, Diesel, Brayton)
• Vapor Power Cycles (Rankine cycle and combined cycles)

Recommended Reading List

• Thermodynamics: An Engineering Approach, 9th Edition, Cengel Yunus A., Boles Michael A., Tsiakaras P. – Katsavounis S. (editors), 2020, Publisher: A. TZIALAS & SONS PUBLISHING CO. A.E.
• Thermodynamics and Advanced Thermodynamics (Theory – Solved Exercises), Apostolos Polyzakis, 2019, Publisher: Polyzakis Apostolos & SIA EE.

Electric Circuits

Syllabus

• Electric field, electric charge, Coulomb’s law, electric field intensity, electric current, potential difference, batteries, generators, Resistance, conductance, Ohm’s law, resistor connection, power, energy, efficiency. Exercises-Problems.
• DC voltage sources, DC current sources, Kirchhoff’s current law, Kirchhoff’s voltage law, current divider, voltage divider. Exercises-Problems.
• Systematic methods for analyzing DC electric circuits, mesh current method, nodal analysis method. Exercises-Problems.
• Thevenin’s and Norton’s theorems in DC circuits. Exercises-Problems.
• Superposition theorem, maximum power transfer theorem, Millman’s theorem, wye-delta and delta-wye transformations. Exercises-Problems.
• Capacitors, capacitance, capacitor connection, energy stored in a capacitor, electromagnetic induction, self-induction, inductor, energy stored in an inductor, inductor connection. Exercises-Problems.
• Alternating quantities (voltage and current), period, frequency, average value, rms value, phasor rotation, transformation of circuits from the time domain to the frequency domain. Exercises-Problems.
• Voltage-current relationship of two-terminal elements in the frequency domain, impedance, source transformations, dependent sources, mesh current method, nodal analysis method. Exercises-Problems.
• Superposition theorem, Thevenin’s and Norton’s theorems, wye-delta and delta-wye transformations. Exercises-Problems.
• Power in sinusoidally driven circuits, power in the frequency domain, active and reactive power, power triangle, power factor, comparison of single-phase and three-phase circuits, power factor correction in single-phase and three-phase circuits. Exercises-Problems.
• Three-phase systems, three-phase source, three-phase load, symmetrical Y-Y three-phase system, symmetrical Δ-Δ three-phase system, power in three-phase systems, asymmetrical Y-Y three-phase system, asymmetrical Δ-Δ three-phase system. Exercises-Problems.
• Transients in 1st-order circuits, source-free RC circuit, source-free RL circuit, unit step function u(t), driven RC circuit, driven RL circuit. Exercises-Problems.
• Transients in 2nd-order circuits, source-free series RLC circuit, source-free parallel RLC circuit, step response of a driven series RLC circuit, step response of a driven parallel RLC circuit, response to other excitation waveforms, general second-order circuits. Exercises-Problems.

Recommended Reading List

• ELECTRIC CIRCUITS, PAVLOS S. GEORGILAKIS, 2005, Publisher: KLEIDARITHMOS PUBLICATIONS LTD.
• INTRODUCTION TO ELECTRIC CIRCUITS AND SYSTEMS, EVANGELOS PAPADOPOULOS, 2010, Publisher: GREGORIOS CHRYSOSTOMOU FOUNTAS.
• Fundamentals of Electric Circuits, 6th Edition, Alexander C., Sadiku M., Nikolaos Kousouras (editor), 2020, Publisher: A. TZIALAS & SONS PUBLISHING CO. A.E.
• Electric Circuits – Applications in their Analysis with MATLAB and SPICE, Loutridis Spyridon, 2018, Publisher: A. TZIALAS & SONS PUBLISHING CO. A.E.
• ELECTRIC CIRCUITS with basic elements of electromagnetism: Theory-analysis-simulation, Spice & Matlab, CHARITANTIS YANNIS, 2015, Publisher: DEMERNTZIS PANTELIS.
• Electric Circuit Analysis, Papadopoulos K., 2017, Publisher: TSOTRAS AN ATHANASIOS.
• ELECTROTECHNICS AND ELECTRONIC TECHNOLOGY, EVANGELOS CHRISTOPHOROU, Type: Electronic Book, Publisher: Hellenic Academic Electronic Textbooks and Aids – “Kallipos” Repository.