Single-Course English 10 ECTS

Stability and control in electric power systems

Overall Course Objectives

To obtain knowledge about conditions in electric power systems that can lead to stability problems, to understand which physical mechanisms are the cause of power system instability, and to give the student insight in the theoretical background for analysis methods used for assessment of system stability.

Furthermore to obtain a deeper understanding of the mathematical models and the methods used for stability analysis. Numerical simulations and analysis will be carried out on different stability problems where the students implement the appropriate models and methods for analysis in Python.

Learning Objectives

  • Apply models of electrical transmission lines and components to analyze their transmission characteristics and to study large complex power grids
  • Explain how the limitations of the transfer of active and reactive power are dependent on various system parameters such as voltage levels, transmission angles and load power factor
  • Apply the mathematical model of the synchronous machine to analyze it under stationary and transient conditions
  • Describe the effect the machine control and protection has on its performance
  • Explain the principal causes of power system stability problems
  • Reflect on how the power system stability problems are affected by grid related limitation for the transfer of active power and the machine related limitation for the injection of active and reactive power
  • Explain the key concepts for frequency control in power systems
  • Analyze rotor angle small-signal stability problems by applying small-signal analysis
  • Analyze transient stability problems and describe means to protect the system against transient stability problems

Course Content

After a general introduction to power system stability problems, characteristics and modeling of electric power transmission networks will be covered, followed by presentation of the characteristics and dynamic model for synchronous generator incl. power/frequency and voltage control.

After that, the different stability topics are treated, where the mechanisms of instability, countermeasures and theory for analysis are treated. The theoretical presentation of the power stability problems is followed up by stability analysis in Python, where study cases are modeled and analyzed.

Recommended prerequisites

31730/31742/31300, Linear Control Design 1

Teaching Method

Survey lectures, exercises and individual hand-in assignments



During the course, few different forms of e-learning activities will be carried for the purpose of supporting and enhancing the students learning:

– Online lectures and assignment assistance by the use of Adobe Connect video conference SW
– Weekly online consultation hours (in Adobe Connect), where students can interact with the teachers to get assistance with problems related to their hand-in assignments. This option is useful to support the students in efficient learning when they are working on class assignment during hours that are beside the scheduled classroom sessions.

See course in the course database.





13 weeks




DTU Lyngby Campus

Course code 46710
Course type Candidate
Semester start Week 35
Semester end Week 48
Days Wed 8-17

15.000,00 DKK