2018-2019 / ELEC0047-1

Electric power systems dynamics, control and stability


30h Th, 8h Pr, 25h Proj.

Number of credits

 Master in electrical engineering (120 ECTS)5 crédits 
 Master in electro-mechanical engineering (120 ECTS)5 crédits 


Thierry Van Cutsem

Language(s) of instruction

English language

Organisation and examination

Teaching in the first semester, review in January


Schedule online

Units courses prerequisite and corequisite

Prerequisite or corequisite units are presented within each program

Learning unit contents

Advanced course devoted to dynamics, control and 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.
1. Modelling of the main components and their regulations

  • dynamics of the synchronous machine
  • dynamics of the induction machine
  • power system modelling under the quasi-sinusoidal approximation, numerical methods for time-domain simulation
  • turbines and speed governors
  • excitation systems and voltage regulators
  • fixed and variable series compensation (FACTS devices).
2. Stability analysis and improvement
  • Small-signal angle stability
  • transient (large disturbances) angle stability : 
  • short-term voltage stability
  • long-term voltage stability.

Learning outcomes of the learning unit

At the end of the course, the student will have acquired a deeper understanding of how power systems operate, more particularly the dynamic phenomena that can restrict their range of admissible operation. The presented material will obviously strengthen his/her perception of electrical networks as "large-scale systems".
The course gives an opportunity to study in some more detail the dynamics of a practical, relatively complex nonlinear system. It improves the ability to interpret results coming from the simulation of differential-algebraic models. It is also an opportunity to outline some of the controllers commonly used by industry. Hence, the course may prove useful in other disciplines than power system engineering.
Finally, the course offers an opportunity to present results of research works in the area of concern.

Prerequisite knowledge and skills

The material covered by courses ELEC0014 and ELEC0029 must be known before dealing with the more specialized material of this course.
Non-ULg students should have attended a course with contents similar to that of ELEC0014 and ELEC0029.

Planned learning activities and teaching methods

Besides theoretical presentations by the lecturer, the student has to practice the material on small case studies.
For a large part, the latter involve time simulations, performed with RAMSES, a time simulation software developed at ULg.
MATLAB is also used for some analyses.
Practical sessions are included in the lectures, during which the students are asked to answer some questions with the assistance of the lecturer. After the course, the students are asked to solve other, related questions and provide a report with their answers.

Mode of delivery (face-to-face ; distance-learning)


Recommended or required readings

The slides used in the theoretical course can be downloaded from the Web page of the lecturer (see below).

Assessment methods and criteria

The above mentioned personal or group works are graded. There is no written or oral exam.

Work placement(s)

Organizational remarks

The course may also include seminars given by external speakers, as well as presentations of research works.
It is usually (but not necessarily) taught during the first quadrimester, according to a schedule to be agreed with the students.


Montefiore Institute, Sart Tilman B 37, B-4000 Liège, Belgium
tel: +32 4 3662689 e-mail: t.vancutsem@ulg.ac.be
Web page: www.montefiore.ulg.ac.be/~vct