**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**

**An introductory overview of electric power systems**

slides**Powers in the sinusoidal steady state**

slides**Balanced three-phase systems and operation**

slides

exercises**The "per unit" system**

slides

exercises**Some properties of electric energy transmission**

slides

exercises**Variation of loads with voltage and frequency**

slides**The overhead power line (and the underground power cable)**

slides - Part 1

slides - Part 2

exercises**The power transformer**

slides

exercises**The synchronous machine**(simplified model)

slides - Part 1

slides - Part 2

exercises**Frequency control**

slides

exercises**Voltage control**

slides

exercise**Introduction to balanced fault analysis**

slides

exercise

**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.
**The power flow computation**

slides

notes de cours**Power flow computation and sensitivity analysis in a simple system**

slides

data file of the 6-bus system for use in ARTERE

graphic file for displaying results on one-line diagram in ARTERE**Synchronous machine: detailed model**

slides

notes de cours**Behaviour of synchronous machine during a short circuit**

slides

Matlab scripts: emt.m matrixA.m**Analysis of balanced faults**

slides**Analysis of unbalanced systems**

The symmetrical components: slides

Three-phase analysis of unbalanced systems: slides

Matlab scripts (zip archive of M-files)**Case study: analysis of unbalanced faults in a small distribution network**

main slides

additional material

data file for initial power flow calculation with ARTERE

Matlab script**A short introduction to Protection and Automation Philosophy**

Two lectures given by Dr. CÃ©dric MOORS, ELIA Engineering

slides

**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 LiÃ¨ge.
## 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