Course description: MATRICES, DETERMINANTS AND SYSTEMS Matrices and Determinants. Definition of matrix. Linear operations with matrices. Product of matrices. Transposed matrix. Properties. Types of matrices. Inverse matrix. Uniqueness and properties. Elementary operations. Elementary matrices. Equivalent matrices. Hermite canonical form. Gauss-Jordan method for calculating the inverse of a matrix. Range of a matrix. Calculation of the range through elementary operations. Definition and properties of the determinant of a square matrix. Application of determinants. LINEAR AND NON-LINEAR EQUATIONS SYSTEMS Terminology and notations. Equivalent systems. Gauss removing method. Rouché–Capelli theorem. Homogeneous Systems: Nullspace of a matrix. Systems solving: methods and iterative. VECTOR SPACE AND EUCLIDEAN SPACE -Rn Vector Space. Definition and properties. Linear dependence and independence. Properties. Basis and dimension of Rn vector space. Vector’s coordinates. Change of basis in Rn. Vector subspaces. Characterisation. Equations of a subspace. Basis and dimension of a subspace. -Rn Euclidean Vector Space.Scalar product. Module of a vector and angle between vectors. Orthogonal and orthonormal basis. Method for orthonormalisation of Gram–Schmidt. DIAGONALIZATION OF MATRICES Eigenvalues and eigenvectors of a square matrix. Properties. Diagonalizable matrix. Diagonalization. Diagonalization of symmetric matrices by orthogonal similarity. Powers of a diagonalizable matrix. Jordan canonical form for matrices of order two and three. CONICS AND QUADRICS -Conics Definition of conic. Matricial equation. Reduced equation of a conic. Classification and main elements of conics. Study of ordinary conics. -Quadrics Definition of quadric. Matricial equation. Reduced equation of a quadric. Classification of quadrics. Study of ordinary quadrics. CURVES AND SURFACES – Flat curves. Concept of flat curve. Expressions of a curve: parametric, explicit and implicit. Tangent and normal in a point of a curve. Singular points and Ordinary points. Flat curves in polar coordinates. – Warped Curves Definition of a curve in the space. Equations of a curve. Ordinary point and Singular point. Arc length of a curve. Three-dimension space and Frenet Formula. Tangent, normal and binormal straight line. Curvature and twisting. Normal, rectifying and osculating planes. – Surfaces Concept of surface. Tangent plane and normal straight line to a surface. Surfaces of revolution and translation. Conical and cylindrical surfaces.

Course description: FUNCTIONS OF A VARIABLE Differential calculus of single variable functions. Real numbers and Complex numbers. Definition of function. Concept of continuity and limit. Calculation of limits. Concept of derivative. Interpreting the derivative. Calculation of derivatives. Mean value theorem. L’Hôpital’s rule Implicit derivative. Integral calculus of single variable functions. Primitive function. Calculation of primitive functions. Problem of the area of a flat region. Riemann’s integral. Rieman’s integral properties. Mean value theorem. Fundamental Theorem of Calculus and Barrow’s rule. Applications of integrals. Improper integral.SEQUENCES AND SERIES Real sequences. Limits of a sequence. Concepts of convergence and divergence. Real series: of positive terms, alternating and of whichever terms. Concepts of convergence and divergence. Geometric series and simple harmonic series. Convergence criteria. Power series. Taylor’s theorem. Taylor and McLaurin Series. NUMERICAL METHODS Numerical equation solving. Polynomial interpolation. Function approximation. Numerical differentiation and integration. DIFFERENTIAL CALCULUS OF SEVERAL VARIABLES FUNCTIONS Introduction to several variables functions. Surfaces in the space. Continuity and limits. Partial derivatives. Differentiability. Chain rule. Directional derivatives. Implicit derivative. Optimisation of several variables functions. Lagrange multipliers. INTEGRAL CALCULUS OF SEVERAL VARIABLES FUNCTIONS Iterated integrals. Double and Triple integrals. Applications. Variables changes: Polar, cylindrical and spherical coordinates.

Course description: BASIC GEOMETRIC CONSTRUCTIONS. Elementary geometry flat transformations. Geometric traces. Scales. Translation, rotation, symmetry and homothesis affinity and homology diedric system FUNDAMENTALS AND APPLICATIONS OF DISTANCES Auxiliary views. Rotations. Changes of plances projections of a flat figure angles. Introduction to the study and representation of regular polyhedral surfaces. Prism and pyramide cylinder and cone sphere. DIMENSIONED DRAWING SYSTEM Fundamentals and applications of distances. Auxiliary views. Rotations. Angles. Flat figures representations. Dimensioned representation of bodies and surfaces building roofs Topographical surfaces. INTRODUCTION TO AUTOCAD AIDED DESIGN BASIC CONCEPTS Autocad environment. Drawing and edition basic commands.

Course description: INTRODUCTION TO PHYSICS KINEMATICS; GENERAL CONCEPTS; STUDY OF MOVEMENTS PARTICLE DYNAMICS; NEWTON PRINCIPLES; WORK AND ENERGY SYSTEM OF PARTICLES DYNAMICS RIGID BODY DYNAMICS THERMODYNAMICS; HEAT AND TEMPERATURE; THERMODYNAMIC TRANSFORMATIONS

Course description: THEORY Introduction to computer science (4 hours) Definitions. Computer basic functions. Software: operative systems, programming languages and applications. Databases.

PROGRAMMING FUNDAMENTALS (26 hours)
Introduction to the software life cycle.
Algorithm: concept, elements and representation. Structured programming.
Modular/top-down design.

WORK PLACEMENTS
Developing programmes under a programming language. Java (26 hours) Types of primitive data.
Variables, constants and operators. Selection and iteration statements. Text files.
Tables (vectors and matrices). Modular/top-down design

Use of computing applications in engineering (4 hours) Databases management system.

Course description: INTRODUCTION TO MATERIALS SCIENCE AND ENGINEERING Introduction to Materials Science and Engineering. STRUCTURE, LAYOUT AND MOVEMENT OF ATOMS. Crystalline structures Crystalline defaults Diffusion in solids PROPERTIES OF MATERIALS Mechanical properties, break and tests. Other physical properties Chemical properties CONTROL OF PROPERTIES AND MICROSTRUCTURE Plastic deformation in metals Phase diagrams Phase transformations Handling and controlling thermal, electrical, magnetic and optical properties. ENGINEERING MATERIALS: PROPERTIES, APPLICATIONS AND PROCESSING. Metallic alloys Ceramic materials Polymeric materials Composite materials Functional materials. SELECTION OF MATERIALS IN INDUSTRIAL DESIGN Criteria for selecting materials PRACTICAL UNIT Thermal treatments: Normalised, hardened, tempered on F114 steel Charpy tests: impact toughness on F114 steel. Resin deep-drawing of samples for metallographic preparation. Tension tests on F114 steel: determination of the elastic module, elastic limit, tension resistance, shear stress, ductility, elastic energy and plastic energy. Vickers, Rockwell and Brinell hardness tests. Metallographic preparation and microscope observation of deep-drawn samples with different thermal treatment.INTRODUCTION TO MATERIALS SCIENCE AND ENGINEERING Introduction to Materials Science and Engineering. STRUCTURE, LAYOUT AND MOVEMENT OF ATOMS. Crystalline structures Crystalline defaults Diffusion in solids PROPERTIES OF MATERIALS Mechanical properties, break and tests. Other physical properties Chemical properties CONTROL OF PROPERTIES AND MICROSTRUCTURE Plastic deformation in metals Phase diagrams Phase transformations Handling and controlling thermal, electrical, magnetic and optical properties. ENGINEERING MATERIALS: PROPERTIES, APPLICATIONS AND PROCESSING. Metallic alloys Ceramic materials Polymeric materials Composite materials Functional materials. SELECTION OF MATERIALS IN INDUSTRIAL DESIGN Criteria for selecting materials PRACTICAL UNIT Thermal treatments: Normalised, hardened, tempered on F114 steel Charpy tests: impact toughness on F114 steel. Resin deep-drawing of samples for metallographic preparation. Tension tests on F114 steel: determination of the elastic module, elastic limit, tension resistance, shear stress, ductility, elastic energy and plastic energy. Vickers, Rockwell and Brinell hardness tests. Metallographic preparation and microscope observation of deep-drawn samples with different thermal treatment.

Course description: DESCRIPTIVE STATISTICS REGRESSION AND CORRELATION THEORY OF PROBABILITY.CALCULATION OF PROBABILITIES ONE-DIMENSIONAL AND TWO-DIMENSIONAL RANDOM VARIABLES. DISCRETE AND CONTINUOUS DISTRIBUTIONS STATISTICAL INFERENCE POINT AND INTERVAL ESTIMATION HYPOTHESIS TESTING. PARAMETERS HYPOTHESIS TESTING INTRODUCTION TO OPTIMISATION

Course description: OSCILLATIONS WAVES: CHARACTERISATION; PROPAGATION FIELDS OF CENTRAL FORCES; ELECTROSTATIC FIELD; GRAVITATIONAL FIELD ELECTRIC CURRENT MAGNETOSTATIC FIELD ELECTROMAGNETIC INDUCTION

Course description: THE COMPANY AND THE ECONOMIC SYSTEM Concept of economy The transformation curve Fundamental economic problems The economic systems The economic agents Introduction to the markets functioning THE COMPANY AS AN ECONOMIC REALITY Concept of company. Functions of companies The constituting elements of a company. Classification of companies The companies according to their legal form. Concept of businessman The businessman within the current company reality. The entrepreneurs THE COMPANY AS A SYSTEM Managing roles Concept and properties of the systems Typology of the systems Conceptual elements of the company as a system The subsystems within the company The business environment THE FINANCIAL FUNCTION Investment and funding Fundamental preliminary concepts The planned investment Funding sources or instruments in the company The own resources The third party’s resources Profit and profitability MARKETING IN THE COMPANY The commercial subsystem. Definition of marketing The market: concept, segmentation and strategies. The marketing-mix The product. The price The place. The promotion THE PRODUCTION SUBSYSTEM The production activity: concept and types Concept and elements of the production subsystem. Types of production processes Goals and decisions when administering production THE EFFICIENCY IN THE COMPANY Efficiency measures. The productivity Graphical analysis of the productivity functions. Elements affecting productivity Concept and classification of costs DIMENSION OF INSTALLATIONS Concept and criteria for dimension measures Dimension and scale economies Dimension and structure of costs Dimension, occupation rate and hysteresis of costs Methodology for determining the production capacity DECISIONS ON INSTALLATIONS LOCATIONS Decisions on company location and its installations Strategies for multisite location Procedures and elements for the decision-making process Quantitative methods for location PHYSICAL DISTRIBUTION OF INSTALLATIONS Concept, objectives and elements for on-site distribution Types of on-site distribution Methods for installations distribution DESIGNING AND MEASURING WORK Design of work Study of work methods Study of times PROJECT PLANNING, PROGRAMMING AND CONTROL Concept and stages in project management Concept and types of control Scope of control Project planning and control techniques

Course description: STRUCTURE OF MATTER QUANTITATIVE ASPECTS OF CHEMISTRY MATTER AGGREGATION STATES LIQUID STATE AND DISSOLUTIONS CHEMICAL THERMODYNAMICS CHEMICAL KINETICS CHEMICAL BALANCE ACID-BASE REACTIONS OXIDATION REDUCTION REACTION CHEMICAL FUNDAMENTALS OF CORROSION ORGANIC CHEMISTRY

Course description: VECTOR ANALYSIS Vector fields. Line integrals. Conservative vector field and independence of path. Green’s theorem. Surface integrals. Divergence. Divergence theorem. Rotational. Stokes’ theorem. ORDINARY DIFFERENTIAL EQUATIONS (ODE) Origin, definition and classification of the ODE. Main concepts. Solutions. Type of solutions. FIRST ORDER ODE: Existence and uniqueness of solution theorem. Geometric interpretation of the equation. y’=F(x,y)(placements). Differential equations (DE) with separable to reducible variables. Reducible to homogeneous DE. Exact DE. Reducible to exact: Integrating factor. First order linear DE. Definitions. Resolution. Bernouilli equation. Orthogonal and isogonal trajectories. INTRODUCTION TO THE PARTIAL DIFFERENTIAL EQUATIONS LINEAR DE OF SECOND ORDER OR HIGHER Definitions. Existence and uniqueness theorem. Vector treatment of solutions. Linear Homogeneous Constant-Coefficient ODE: cases for resolution. Full linear ODE: undetermined coefficients method and method of variations of parameters. Variable changes. Euler equation. Converting a linear equations system into a higher order equation POWER SERIES SOLUTION OF DIFFERENTIAL EQUATIONS Application of the power series to the solution of equations. LAPLACE TRANSFORM Introduction. Definition. Calculation of transforms of elementary functions. Properties. Convolution product. Inverse transform. Properties. Application for the solution of differential equations and integrals and linear equations systems.

Course description: INTRODUCTION AND PRELIMINARY CONCEPTS Object and purpose. Model of solid. Mechanical prism. Balance conditions and stresses.

STRESSES
Stress vector. Stress matrix. Main stresses and directions Intrinsic component. Mohr circles.

DEFORMATIONS
Deformation vector. Deformation matrix. Main deformations and directions Intrinsic components Mohr circles.

GENERAL SETTINGS OF THE ELASTIC PROBLEM
Tension test. Hooke law. Transverse deformations. Poisson’s coefficient. Principle of superposition.
Generalised Hooke’s law. Lame’s equation.

THEORIES OF ANELASTIC ACTION
Introduction. Mohr criteria of limit states. Other criteria

THEORY OF FORCES. STATIC CHARACTERISTICS OF THE SECTION
Forces. Moments. Centre of gravity. Static moment. Moment of inertia.

AXIALS
Introduction. Axial diagrams Stresses. Deformations.

SHEAR AND BENDING
Introduction. Shear and bending diagrams.

BENDING STRESSES
Pure bending, Navier-Stokes law. Simple bending. Relation shear and bending.

BENDING DEFORMATIONS
Introduction. The elastics.
Mohr’s Theorems.

BUCKLING
Introduction. Critical load. Effective length.
Buckling according to Eurocodes.

Course description: AIR AND ACOUSTIC POLLUTION The atmosphere and its main pollutants. General principles on gas emissions treatment. Operations and processes for gas emissions treatment. Acoustic pollution.

WASTE POLLUTION
Introduction to waste regulations. Urban wastes.
Hazardous wastes. Radioactive wastes.
Soil pollution and repair.

ENVIRONMENTAL MANAGEMENT
Environmental impact assessment. Environmental management systems.
Life cycle analysis. Green labelling.

WATER POLLUTION
The natural water environment and the waste waters Physical operations for waste waters treatment. Chemical processes for waste waters treatment. Biological processes for waste waters treatment. Treatment and management of sludge.
Examples of waste waters treatment plants.

Course description: STATICS OF THE RIGID SOLID KINEMATICS AND DYNAMIC OF THE RIGID SOLID Kinematics of machines and mechanisms Dynamics of machines and mechanisms GENERAL CONCEPTS ON MACHINES AND MECHANICMS LEVIES AND GEARS

Course description: PROPERTIES AND STATES OF PURE SUBSTANCES APPLICATIONS OF THE THERMODYNAMICS PRINCIPLES MECHANISMS FOR HEAT TRANSFER Conduction, convection and radiation Combined applications of the heat transfer mechanisms heat exchangers

Course description: INTRODUCTION TO AUTOMATICS REGULATION Introduction to Automatics regulation. Description of Control Systems. Revision of mathematical basis and modelling of dynamic systems Time response Analysis. Structures of industrial regulators. INTRODUCTION TO AUTOMATION Definitions and structures. Introduction to logic systems Combinational and Sequential Systems and Applications. INTRODUCTION TO MODELLING OF AUTOMATION SYSTEMS AND PROGRAMMABLE AUTOMATES Introduction to modelling of Automation Systems. Petri networks. The programmable automates. Structure, programming Industrial applications.

Course description: THE P-N JUNCTION AS A DIODE Qualitative theory of the P-N junction Characteristics and functioning of the diode. Approaches. Circuits with diodes. Rectification. The Zener diode. The Zener regulator. THE BIPOLAR JUNCTION TRANSISTOR (BJT) Morphology. Functioning regions. Characteristic curves. The BJT as an amplifier. The BJT as a switch. Pulse Wide Modulation (PWM). JOINT FIELD EFFECT TRANSISTOR (JFET) Morphology. Functioning regions. Characteristic curves. The MOSFET as an amplifier. The MOSFET as a switch. THE OPERATIONAL AMPLIFIER (OA) Amplification and features. The feedback. OA ideal model. Basic settings. DIGITAL ELECTRONICS AND DIGITAL INTEGRATED CIRCUITS Analogue vs digital. Binary system. Digital encoding of information. A/D and D/A converters. The clock. Series/parallel communications. Logic gates. Design and optimisation of logic circuits. Logic families.

Course description: METHODS FOR CIRCUITS ANALYSIS Introduction

RESISTIVE CIRCUITS COILS AND CONDENSERS
Methods for circuits analysis

SINGLE PHASE AND THREE-PHASES CIRCUITS ANALYSIS SINUSOIDAL SIGNALS
Analysis in the sinusoidal steady state Power in the sinusoidal steady state Three-phases balanced systems.

ELECTROMETRICS
Fundamentals of electrical measurements Analogue and digital instruments Conditioning of signal Measurement methods.

BASIC PRINCIPLES OF ELECTRICAL MACHINES
Basic elements of electrical machines Balance of energy in electrical machines Classification of electrical machines.

Course description: LABORATORY PLACEMENTS Workshop security Metrology Sand moulding Conventional machining and CNC Welding PROBLEMS Metrology Forming technologies and processes with material preservation Forming technologies and processes with material removing Joining technologies THEORY Manufacturing systems Manufacturing engineering and processes CAx Systems and Manufacturing management systems. CIM Production systems. Plant engineering Emerging manufacturing systems METROLOGY Fundamentals of metrology Dimensional metrology Metrology of lengths and angles Metrology of surface finish Metrology of forms Adjustment and tolerances FORMING TECHNOLOGIES AND PROCESSES Forming technologies and processes with material preservation Introduction to forming with material preservation Consolidation processes Deformation processes. Advanced processes FORMING TECHNOLOGIES AND PROCESSES WITH MATERIAL REMOVING Introduction to forming processes with material removing Conventional machining processes Cutting tools Machining fundamentals JOINING TECHNOLOGIES Introduction to forming with provision of material Welding joining processes Symbolic representation of welding Advanced processes with provision of material

Course description: CALCULATION OF PIPELINES, CHANNELS AND FLUID SYSTEMS ONE DIMENSIONAL LAMINAR FLOW IN LIQUIDS IDEAL FLUIDS BASIC PRINCIPLES IN FLUID MECHANICS Statics of fluids Kinematics Integrals applied to finite volumes. CONSERVATION OF MASS EQUATION Continuity equation Equation of conservation of quantity of momentum. Integral form. Differential form Equation of conservation of energy. Integral form. Differential form. PROPERTIES OF FLUIDS AND DIMENSIONAL ANALYSIS Introduction. Forces acting on a fluid Thermodynamics. Transport phenomena Dimensional analysis.

Course description: INTRODUCTION TO INDUSTRIAL TECHNICAL DESIGN. INDUSTRIAL FORMS AND THEIR STANDARDISED REPRESENTATIONS The industrial technical design instrumentation and its practices standardised representations. Conventionalisms in industrial design. Cuts, sections, breaks and other conventionalisms auxiliary views Sketching. DIMENSIONING General on dimensioning. Dimensioning according to manufacturing process. SIGNS FOR SURFACE FINISHES Surfaces finishing symbols of surface status. TOLERANCES Dimensional tolerances. Geometric tolerances. CONSTRUCTION ELEMENTS: NON DETACHABLE JOINTS Riveting and welding. CONSTRUCTION ELEMENTS: dETACHABLE JOINTS Flange and threads. Screws, nuts and washers. Supplementary security systems. Keys and keyseats. Hinge pins. ORGANS OF MACHINES Trees. Couplings. Spring bases. Pulleys Toothed wheels. ENSEMBLE AND EXPLODED DIAGRAM General considerations. USEFUL CONSIDERATIONS FOR INDUSTRIAL DESIGN ALIGNMENT. SYMBOLS AND STANDARDISATION basic concepts for isometric alignment of pipes in processes plants. symbols and standardisation basic concepts for alignment of electrical schemes. symbols and standardisation basic concepts for alignment of printed circuits. symbols and standardisation AIDED DESIGN Design aids and edition dimensioning Blocks and attributes

Course description: ELECTRIC ENERGY DISTRIBUTION AND SUPPLY INTRODUCTION TO ELECTRICAL INSTALLATIONS DISTRIBUTION LINES AERIAL LINES FOR MV AND LV MV AND LV UNDERGROUND LINES SWITCHGEAR FOR MANOEUVRE AND PROTECTION OF MV AND LV TRANSFORMATION CENTRES INSTALLATIONS OF LINKS AND INTERIORS LIGHTING INSTALLATIONS ELECTRICAL PRICING

Course description: GENERAL PRINCIPLES OF ELECTRICAL MACHINES POWER TRANSFORMERS ASYNCHRONOUS MACHINES SYNCHRONOUS MACHINES CONTINUOUS CURRENT MACHINES SPECIAL ELECTRICAL MACHINES

Course description: INTRODUCTION TO REGULATION AND CONTROL SYSTEMS Basic concepts General block chart on the control systems. Examples. Transfer function. Representation of systems. Blocks algebra. Modelling of dynamic systems. Solving linear time-invariant differential equations. Laplace Method. STEADY STATE AND TRANSITIONAL STATE OF THE CONTROL SYSTEMS Operative states: transitional state and steady state. Steady state, study of error in the steady state. Transitional response in first order system. Transitional response in second order system. Higher order systems. Routh-Hurwitz stability criterion. PLACE OF THE ROOTS Introduction. Definition and concepts. Alignment method. Response of systems through the analysis of the place of roots. DESIGN AND COMPENSATION TECHNIQUES Introduction. Preliminary considerations in design. PID controllers setting. Compensation in the place of roots. INTRODUCTION TO DIGITAL CONTROL OF SYSTEMS Basic concepts Basic techniques on analysis and design of digital control systems.

Course description: THE PRODUCTION AND DEMAND OF ELECTRIC ENERGY COMPOSITION OF A POWER ELECTRICAL SYSTEM MODELLING OF A POWER ELECTRICAL SYSTEM; QUANTITIES PER UNIT ANALYSIS OF THE POWER ELECTRICAL SYSTEM ;FLOW OF CHARGES ECONOMIC DELIVERY OPERATION UNDER MALFUNCTIONS: SHORT CIRCUITS

Course description: INTRODUCTION TO PLANNING AND CONTROL OF PRODUCTION INVENTORY MANAGEMENT AGGREGATE PLANNING MASTER PROGRAMMING COMPONENTS PROGRAMMING VERY SHORT TERM PLANNING AND CONTROL

Course description: INTRODUCTION TO LABOUR RISK PREVENTION ORGANISATION OF THE PREVENTION IN-COMPANY RESPONSIBILITIES AND PENALTIES CONCERNING PREVENTION. PERSONAL PROTECTION EQUIPMENT. MINIMUM PROVISIONS ON SAFETY AND HEALTH SIGNALLING. SAFETY AND PREVENTION IN ELECTRICAL AND OXY ACETYLENE WELDING HANDLING, MOVING AND TRANSPORTING LOADS. MACHINES SECURITY AGAINST MECHANICAL RISKS SECURITY PROVISIONS AT WORK PLACES PREVENTION AND PROTECTION AGAINST FIRES. ELECTRICAL RISKS ASSESSMENT OF POLLUTANTS. CHEMICAL POLLUTANTS. RADIATIONS SECURITY AND HEALTH STUDIES IN CONSTRUCTION WORKS

Course description: SPECIFIC FUNCTIONING SWITCHGEAR General concepts. Functioning and protection switchgear. Introduction to electrical automates. ELECTRICAL MACHINES DRIVERS General concepts. Drivers for alternate current engines. Drivers for continuous current engines. STATIC CONVERTERS FOR ELECTRICAL MACHINES DRIVERES General considerations. Characteristics of the devices. Classification and type of converters. CONTROL OF CONTINUOUS CURRENT MACHINES General concepts. Power circuit. Control circuit. Speed variators in continuous. CONTROL OF ALTERNATE CURRENT MACHINES General concepts. Electronic starters. Speed variators in alternate.

Course description: THE ENERGY RESOURCES AND THE ELECTRICITY PRODUCTION Energy sources. The electricity. The electricity system. Classification and short description of power stations. Demand and production. Parameters. Covering the demand. Structure of the production of electricity in Spain. Energy model. Legal framework. The electric market. THE GENERATOR AT THE POWER STATIONS. REGULATION OF THE VOLTAGE The synchronous generator. Types. Construction provisions. Functional characteristics. Functioning flowcharts. Ventilation and cooling. Alternators excitation systems. Basic parameters. Regulation of the voltage. Regulators. The asynchronous generator. Load behaviour. Converters and controls. FUNCTIONING IN GENERATION. STABILITY. Operating synchronous machines in parallel. Static stability of the operation in parallel. The synchronous machine coupled to a network. Active and reactive power compensation. Regulation of the speed and the frequency. Types of regulation. Phase swingings of the synchronous machine. EXTERNAL SHORT CIRCUIT FAULTS AFFECTING THE GENERATOR Short circuit in the synchronous machine. Symmetrical permanent short circuit. Symmetrical components. Direct, inverse and homopolar reactances. Asymmetrical permanent short circuit. Abrupt short circuit of an alternator. Subtransitional and transitional reactance. Time constant. ELECTRICAL SYSTEMS OF THE POWER STATIONS. PROTECTIONS Auxiliary services. Power transformers. Substation for network connection. Command, control and protections in power stations. Protections for the synchronous generator, engines and transformers. Protection for bars, lines and networks. HYDRAULIC AND THERMAL POWER STATIONS Hydraulic power stations. Water Resources Exploitation. Building elements of the hydraulic power stations. Characteristics of the generator according to the type of turbine. Hydraulic power stations with pump accumulators. Types. Starting methods. Thermal Power Stations. General composition and constitutive elements. Conventional Thermal Power Stations. Combined cycle power stations. Nuclear Thermal Power Stations. Nuclear fission and fusion. Nuclear reactors. Co-generation power stations. GENERATION OF ELECTRICITY BY RENEWABLE ENERGIES EXPLOITATION OF RENEWABLE ENERGIES. Wind systems. Photovoltaic systems. Generation of electricity out of other renewable energy sources OTHER METHODS TO GENERATE ELECTRICITY OR MAINTAIN THE SUPPLY Electrical power-unit and Uninterruptable power supply systems. Galvanic or voltaic batteries. Hydrogen and fuel cells. Storage of energy. FUELS AND COMBUSTION Theoretical and real process. Enthalpy of formation and combustion. First and Second law of reactive systems. Thermal installations. Boilers. GAS POWER CYCLES Engines: OTTO, DIESEL, STIRLING, ERICSSON cycles. Gas turbines: BRAYTON (Regeneration, Intercooling, Reheating, Regeneration) Deviation of real cycles from idealized ones. Second law of gas power cycles. CYCLES OF POWER STEAM AND COMBINED CYCLES. STEAM TURBINES. Rankine’s cycle. The reheat steam cycle, open and closed heaters. Second law of steam power cycles. Co-generation, combined and binary.

Course description: CALCULATION OF ELECTRICAL LINES IN STEADY STATE ELECTRICAL CALCULATION OF DISTRIBUTION LINES High voltage aerial lines. Electrical and mechanical calculation. Switchgear and protection. TRANSFORMERS AND DISTRIBUTION SUBSTATIONS

Course description: INTRODUCTION TO ENGINEERING PROJECT The engineering work: the industrial expert. The technical department and its organisation. Applications of computer science in the technical department. Assessments, valuations, technical reports and certificates. The industrial project: definition, object, stages, formal presentation and structure, processing. DOCUMENTS OF THE PROJECT Documents of the project: table of contents report and annexes. Documents of the project: planes. Documents of the project: tender specifications. Documents of the project: status of measurements. Documents of the project: budget. Documents of the project: reliable studies construction works management. REGULATIONS AND LEGISLATION The rules

Course description: INTRODUCTION The structures and the equipment. Structures and equipment in the electric sector. Structures and equipment in the chemical sector. Methodologies of calculation. MATRICIAL CALCULATION OF STRUCTURES General concepts on matricial methods. Coordinates systems. Elementary matrices. The direct method of rigidity. Actions not focused on nodes. STRUCTURES FOR ELECTRICAL STRINGING SUPPORTS Introduction. Stringing support structure Foundation PRESSURE CONTAINERS Definition of concepts. Calculation by internal pressure. TANKS AND PIPES Design of tanks Design of pipes for processes REGULATORY SCHEME ASME Boiler and Pressure Vessel Code. Section 8 Division 1 for designing of pressure containers ANSI B31.3. Process piping for designing process piping REGULATIONS ON HIGH VOLTAGE LINES RD 223/08 on the design of supports for electrical lines API-650 for tanks design ASTM/ISO Standards for materials

Course description: The chemical engineering The industrial chemical processes Flowcharts UNIT OPERATIONS IN THE CHEMICAL INDUSTRY. Unit operation. Classification. Operations of matter transfer. Operations of heat transfer. Operations of transport of quantity of movement. Supplementary operations. Chemical unit operation. MACROSCOPIC BALANCES OF MATTER AND ENERGY Matter balances Energy balances

Course description: THERMAL ENERGY GENERATION POWER PLANTS ALTERNATIVE INTERNAL COMBUSTION ENGINES PRODUCTION OF COLD TURBO-MACHINES HYDRAULIC INSTALLATIONS

Course description: POWER TRANSMISSION IN MACHINES STRESS, TENSION AND DEFORMATION FAULTS BY STATIC CHARGE FAULTS BY FATIGUE AXLES AND SHAFTS SCREWS AND DETACHABLE JOINTS WELDING AND NON-DETACHABLE JOINTS SPRINGS BALL BEARINGS LUBRICATION AND DISPLACEMENT FLANGE GEAR WHEELS AND GEAR WHEELS REDUCERS BRAKES AND CLUTCHES STRAPS, CHAINS AND WIRES

Course description:

Course description: INTRODUCTION TO RENEWABLE ENERGIES Wind power Photovoltaic sun energy Thermo-electrical energy Mini-hydraulic energy Biomass energy OTHER RENEWABLE ENERGY SOURCES Geo-thermal and marine The hydrogen, the energy of the future

Course description: SECURITY ASSESSMENT Analysis of contingencies based on distribution factors Distribution factors based on generators and charges Factors for lines and transformers distribution Distribution compensated factors PROGRAMMING OF GENERATION Classic economic delivery Programming starts and stops in thermal power stations Hydrothermal coordination OPTIMAL CHARGES FLOW Equations and variables Restrictions Optimisation problems

Course description: GENERAL ON ELECTRICAL MACHINES. MAGNETIC CIRCUITS. CALCULATION AND CONSTRUCTION. WINDING. CALCULATION AND CONSTRUCTION. ISOLATIONS. ISOLATING MINERAL OILS. HEATING AND COOLING. PROTECTION LEVELS OF ELECTRICAL MACHINES. DESIGN OF STATIC ELECTRICAL MACHINES. DESIGN OF ROTATIONAL ELECTRICAL MACHINES. TESTS ON ELECTRICAL MACHINES. DIAGNOSIS ON ELECTRICAL MACHINES. ASPECTS OF INSTALLATION AND MAINTENANCE AFFECTING THE CHOICE OF ELECTRICAL MACHINES.

Course description: HISTORIC EVOLUTION OF THE ORGANISATION OF MAINTENANCE. BASIC FUNCTIONS, GOALS AND DATA OF ELECTRICAL MAINTENANCE. THE MAINTENANCE AND ITS ORGANISATION. STANDARDISATION OF ELECTRICAL MAINTENANCE. THE MAINTENANCE COSTS. CONTRACTED ELECTRICAL MAINTENANCE. PLANNING OF MAINTENANCE. CONTROL OF THE ELECTRICAL MAINTENANCE ACTIVITIES. MANAGEMENT OF COMPUTER AIDED MAINTENANCE. TRAINING, MANAGEMENT AND QUALITY IN MAINTENANCE. RECEPTION AND ELECTRICAL MAINTENANCE TESTS. RCM. MAINTENANCE BASED ON RELIABILITY.CURRENT ISSUES IN ELECTRICAL MAINTENANCE.