I. FUNDAMENTALS OF ELECTRICAL CIRCUITS: DC CIRCUITS
- Fundamental electric magnitudes and units
- Electric charges, intensity of electric current, electric charge, electric voltage between two points and electromotive forcé, electric power, electric energy; multiples and fractions
- Sign and graphic agreements
- Electric charge, intensity of electric current, electric voltage between two points and electromotive force, power and electric energy (active and passive agreements)
- Fundamentals of electric circuits
- Definition of electric circuit
- Introduction to active and passive components of electric circuits
- Fundamental topological entities of electric circuits: branch, node, loop, graph, plain circuit, mesh
- Kirchhoff’s laws
- Connection of components in series and in parallel
- Waveforms in electric circuits
- Steady and transient states
- Bidirectional and unidirectional waveforms
- Periodical waveforms: period, cycle, frequency, delay, peak values, peak to peak value, mean value, rms value
- Components of electric circuits
- Ideal passive components: resistance (Ohm’s Law, resistance (R), conductance, short-circuit, open circuit, ideal switch, resistance of a conductor, resistivity and conductivity, instantaneous dissipated power, dissipated energy and Joule’s effect, real resistors, color code)
- Ideal passive components: inductance (v-i equation, self-inductance (L), charged inductance, absorbed instantaneous power, stored energy, real inductors)
- Ideal passive components: coupled inductors
- Ideal passive components: capacitance (v-i equation, capacitance (C), charged capacitance, absorbed instantaneous power, stored energy, real capacitors)
- Associations and equivalences of ideal passive components: operational impedance and admittance (Ohm’s Law generalization), series association, parallel association, Kennelly’s Theorem
- Ideal active components: ideal voltage sources, ideal current sources, series and parallel associations of ideal voltage and current sources, ideal controlled sources
- Real active components: real voltage sources, real current sources, Maximum power transfer Theorem, equivalence between real voltage and current sources
- Measurement devices: ideal voltmeters and ammeters
II. CIRCUITS IN SINUSOIDAL STEADY STATE
- Sinusoidal waveforms: relevance, amplitude, angular frequency, phase angle, initial phase angle, particularization of parameters of periodical waveforms
- Sinusoidal waveforms in the complex domain: phasors
- Complex impedance and admittance: generalization of the Ohm’s Law in complex notation
- Systematic analysis of sinusoidal circuits in steady state in the complex domain
- Response of dipoles R, L, C, RL and RC series in sinusoidal steady state: phasor diagram
- Power and energy in sinusoidal steady state
- Active, reactive and apparent power
- Instantaneous power and energy, and active, reactive and apparent power in dipoles R, L, C, RL and RC series
- Complex power
- Power triangle
- Boucherot’s Theorem
- Power factor: concept, relevance and correction
- Introduction to the frequency response of sinusoidal circuits in steady state: series and parallel resonance
III. TOPOLOGICAL METHODS AND THEOREMS
- Resolution of electric circuits by means of the Mesh Current Method
- Resolution of electric circuits by means of the Node Voltage Method
- Superposition Theorem
- Thévenin’s Theorem
- Generalization of the Maximum power transfer Theorem
- Norton’s Theorem
IV. THREE-PHASE CIRCUITS
- Generalities
- Balanced and unbalanced three-phase voltage systems
- Phase sequence
- Balanced and unbalanced three-phase loads and current systems
- Three-phase topologies
- Four-wire star-star
- Live and neutral conductors
- Three-wire star-star
- Three-phase circuits with connections in delta
- Line (line-to-line) and phase magnitudes
- Equivalences star-delta and delta-star
- Resolution of three-phase balanced circuits
- Single-phase equivalent circuit
- Power in three-phase circuits
- Instantaneous power in three-phase elements
- Active, reactive and apparent power in three-phase elements
- Power triangle, complex power, Boucherot’s Theorem, power factor
- Power factor correction in three-phase installations
- Introduction to the generation, transport and distribution of electric energy
V. ELECTRIC MACHINES
- Introduction to transfomers
- Introduction to asyncronous machines
- Introduction to synchronous machines
LABORATORY SESSIONS
- P1: Description of equipment and assembly of DC circuits
- P2: Assembly of sinusoidal circuits in steady state I
- P3: Assembly of sinusoidal circuits in steady state II
- P4: Exam
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