The slides can be conveniently printed two per page in portrait mode.

In Adobe reader : select "adjust to printing zone" and in "printer properties" select "2 pages per sheet" and "landscape"

The slides can be conveniently printed two per page in portrait mode.

In Adobe reader : select "adjust to printing zone" and in "printer properties" select "2 pages per sheet" and "landscape"

This page offers material that I used to teach in three courses at the University of Liège

Introduction to electric power and energy systems

This is an introduction to electric power system engineering. It describes the principles of operation, including regulation. The main components are described and their models in steady state are derived. Three-phase short-circuits are also considered. The exercices involve small systems to illustrate various features of power systems and their operation.

Lecture notes in French available in this PDF file

Electric power systems analysis

This course is the continuation of the introductory courses above one. It is devoted to computational methods for the analysis of electric power systems of any size in steady-state conditions, in the presence of faults, in balanced and unbalanced operating conditions, respectively. Emphasis is on "system" approaches initiated in the introductory course. Exercises involve using a power flow computation software as well as MATLAB scripts for fault analysis.

Power systems dynamics, control and stability

Lectures devoted to the dynamics, the control and the stability of electric power systems. In the first part, dynamic models of various power system components are established. They are combined into a general differential-algebraic model under the phasor approximation. In the second part, various aspects of power system (in)stability are explained. Mainly small systems are used to this purpose, although large-scale system analysis is also considered. Methods are presented for reinforcing stability or estimating how far a system operates from instability. The models and the stability notions are practiced (in hands-on sessions in class and through personal works) using RAMSES, the dynamic simulation software developed at the Univ. of Liège.

First part: dynamics and control

  • Dynamics of the synchronous machine
            RECALL:   Introduction to synchronous machine     and   notes de cours (in French)
            continuation:   slides
            Homework No 1
            Homework No 2
  • Behaviour of synchronous machine during a short-circuit   (a simple example of electromagnetic transients)
            slides
            the corresponding MATLAB scripts: emt.m and linmodel.m
  • The phasor approximation explained with an example
            slides
            the corresponding MATLAB scripts: phasormode.m and matA.m
  • Dynamics of the induction machine
            slides
  • Power system modelling under the phasor approximation
            slides
            Homework No 3
  • Turbines and speed governors
            slides
  • Excitation systems and automatic voltage regulators
            slides
  • Case study: Dynamic simulation of a 5-bus system
            slides
            data: select "software" tab, see "Example 1 : simple 5-bus system"

Second part: stability

  • Classification of power system instabilities
            slides
  • Transient stability analysis and improvement
            slides
            Homework No 4 :     statement         Matlab script ini.m
  • Small-disturbance angle stability analysis and improvement
            slides
            MATLAB script of the one-machine infinite-bus system : omib.m
            Homework No 5
  • Long-term voltage stability analysis and improvement
            Transmission aspects : slides
            Generation aspects : slides
            Load aspects : slides
            Dynamic aspects and countermeasures : slides
            Simulations of the IEEE Nordic test system : slides