Electric circuit analysis. Concepts and analysis techniques. Those are fundamentals to the analysis for the analysis of linear electrical circuit models. Circuit laws, including Kirchhoff’s current and voltage laws. Thévenin’s theorem and Norton’s theorem; the Principle of Superposition. Analysis of DC circuits. Use of differential equations to analyse the transient response of first and second order circuits. Techniques and principles of linear circuit analysis, sinusoidal excitation, phasors and frequency response. AC circuits, three-phase circuits and AC power calculations

Theory of control and linear system. Basic approaches and methods for analysis and design of control systems based on the classical concepts of transfer function, time-domain and frequency domain characteristics. Introduction to the state-space description of systems and their fundamental properties (stability, controllability, observability), as well as the pole-placement design and the linear-quadratic design of control systems.

Fundamental of energy transport. Introduction of energy transport: Over head transmission. Determination of electrical parameter of overhead transmission lines: resistance, inductance and capacitance. Voltage induced by power lines over communication circuits. Impedance series and admittance shunt in transmission lines: transposed of not. Steady-state performance of transmission lines: voltage regulations, losses, diagram of operation. Travelling waves in transmission lines. Introduction to overvoltage in transmission systems.

Power system analysis fundamentals. Per unit system, representation and modelling of power system elements. Symmetrical components and applications, transmission line theory and power flow; introduction to voltage control; economic dispatch; introduction to power system stability.

Computer Modelling of Power Systems. Discuss and describe the methods now used in the electric power industry to electrical engineering. Mathematical formulations and programming/implementation of algorithms related to solve electrical networks, both large and small. A strong emphasis is done in programming. Network topology, matrix algebra, solution of linear systems of equations. Building power system matrices, numeric methods for space matrices. Solution of non-linear system of equations, programming load flow, voltage-controlled buses, transformer tap ratios, constrained/optimal load flow. Symmetrical Components, sequence impedance matrix and short-circuit analysis. Numerical Integration methods. The swing equation, system-level stability analysis and introduction to transient analysis, time domain simulations.

Power system dynamics. State-of-the-art issues in interconnected power system dynamic behaviour and analysis of control measures for stability. Power system stability – basic concepts, modelling of synchronous machines and associated controls, modelling of transmission system, small-disturbance stability, large-disturbance (transient) stability, voltage stability and power system dynamic security.

Distributed generation and renewable energy sources. Introduction of the distributed generation (DG). Technologies available for distributed generation, basic principles of operation, elements and classification, efficiency and costs: Photovoltaic, wind power, small hydro, fuel cells, micro turbines, geothermal, wave and biomass. Methods to estimate the renewable energy available. Management of combined heat and power (CHP). Microgrid concept. Modelling and simulation considerations. Issues of integration and interconnection. Technical impact in steady state and dynamic behaviour. Aspects economic and sitting studies.