BASIC ELECTRICAL ENGINEERING (Electrotechnics) A - L

The course presents the methods for circuits modeling and analysis, providing the basics for subsequent courses in electronics, automation and telecommunications.

Knowledge and understanding abilities
Knowledge of lumped-parameter models and theorems of electrical networks.
Knowledge of systematic methods for solving electrical circuits and understanding their theoretical basis.
Knowledge of the dynamics of linear time-invariant electrical circuits.

Applying knowledge and understanding abilities
Ability to solve linear and time-invariant electrical circuits both in steady state and sinusoidal conditions as well as in transient conditions.
Ability to use simulators for circuit analysis.
Ability to translate the methods and knowledge acquired into a set of instructions.

Ability of making judgements
The student will be able to identify the most appropriate circuit solution methods.
The student will be able to critically analyze the solution obtained.

Communication skills
The student will learn the circuit symbols and technical terms of electrotechnics.
The student will be able to interact with electrotechnics and electronics specialists in the application of their computer science abilities.

Learning ability
The student will acquire the necessary foundations for understanding advanced topics in the field of electrotechnics.
The student will be able to replicate and generalize the logic used to translate the methods and knowledge acquired into a set of instructions.

From the electromagnetic field to circuit models
From physical systems to models.
Maxwell's equations. Constitutive relations. Boundary conditions. Interface relationships.
Calculation of circuit parameters.

Circuits with lumped parameters and one-port elements
Lumped parameter model.
Model of the port. Lumped network. Nodes.
Kirchhoff's laws.
Independent generators. Resistors. Non-linear resistors. Ideal diode.
Capacitors. Inductors.
Power and energy.

One-ports connections and equivalent transformations
Series and parallel connections.
Voltage or current divider.
Wye-delta transformation.
Thevenin and Norton branches.

Systematic methods for the solution of a-dynamic circuits
Graph. Meshes, rings and cutting sets. Tree. Basic meshes and cutting sets.
Systematic method for writing linearly independent LKs.
Solution of a circuit. Limits of the sparse tableau method.
Incidence matrix. Mesh matrix.
Node analysis. Mesh analysis.

Dynamic analysis of linear time-invariant circuits
First order circuits.
Examples of second order circuits: series and parallel RLC circuit.
Second order differential equation and initial conditions. Case over-damped, critically damped and under-damped. Steady-state solution. Stationary steady-state.
The concept of state. State equations.
Minimum order differential equation.
Natural frequencies. Stability.

Sinusoidal steady-state analysis
Phasors. Circuits in sinusoidal steady-state. Fundamental theorem of the sinusoidal steady-state.
I order circuit in sinusoidal steady-state.
Kirchhoff's laws and port equations with phasors. Impedance and admittance.
Power and energy in sinusoidal regime. Complex power.

Network theorems
Tellegen's theorem. Boucherot's theorem.
The substitution theorem.
The superposition theorem. Application to the steady-state sinusoidal analysis.
Thevenin·Norton equivalent network theorem.
The theorem on the maximum power transfer.

Coupling elements
N-ports. Two ports.
Controlled sources.
Ideal transformer.
Coupled inductors.

Laplace transform
The L-transform and its main properties.
Kirchhoff's laws and port equations in the Laplace domain.
Impedance and admittance of resistors, capacitors and inductors.
Transfer function.

Circuit simulation software
The Simscape simulator. Graphic interface. Inserting components.
Setting the component parameters and the circuit analysis.
Simulation of circuits in the time domain.
Waveform acquisition and tracking.
Procedures for solving circuits with the support of Matlab and Simscape.

Electrical applications