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Graduate courses

Departments' graduate courses for PhD-students.


Syllabus for

Academic year
ENM066 - Advanced power system analysis
Avancerad kraftssystemsanalys
Syllabus adopted 2019-02-07 by Head of Programme (or corresponding)
Owner: MPEPO
7,5 Credits
Grading: TH - Pass with distinction (5), Pass with credit (4), Pass (3), Fail
Education cycle: Second-cycle
Major subject: Electrical Engineering

Teaching language: English
Application code: 21119
Open for exchange students: Yes
Block schedule: C+

Module   Credit distribution   Examination dates
Sp1 Sp2 Sp3 Sp4 Summer course No Sp
0118 Examination 5,0c Grading: TH   5,0c   20 Mar 2021 am J,  09 Jun 2021 am J,  26 Aug 2021 pm J
0218 Project 2,5c Grading: UG   2,5c    

In programs



Tuan Le Anh

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General entry requirements for Master's level (second cycle)
Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.

Specific entry requirements

English 6 (or by other approved means with the equivalent proficiency level)
Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.

Course specific prerequisites

Power system analysis (ENM050) or Power system analysis and control (ENM051) or equivalent.


The overall aim of this course is to further equip students with knowledge in advanced power system analysis. The course is divided into two parts. The first part focuses on the economic operation of power system and solutions for the power flow and optimal power flow for large power systems. The second part of the course covers angle stability (small-signal and transient) as well as voltage stability (short-term and long-term) where students will learn about modelling, simulations, analysis and stability improvement methods under each topic. Going hand-in-hand with the lectures, the students will also learn from working with computer simulation based projects, practical laboratory and demonstrations.

Learning outcomes (after completion of the course the student should be able to)

i) with regards to the knowledge gained:
  • Demonstrate the understanding of solution methods for calculating power flows in a large power systems.
  • Demonstrate the understanding of power system economic operation models (including economic load dispatch, unit commitment and optimal power flow).
  • Demonstrate the understanding of fundamentals of the electricity market operation and technical requirements to support market operations.
  • Demonstrate the understanding of angle stability (both small-signal and transient) problems and methods for stability improvements.
  • Demonstrate the understanding of the voltage stability (both short-term and long-term) problems and methods for stability improvements.
ii) with regards to skills developed:
  • Perform both steady state power flow calculation and dynamic simulations for stability studies in power systems (including angle transient stability and voltage stability) using a standard power system analysis software (e.g., PSS/E).
  • Simulate a simplified version of Nordic electricity market (e.g., using GAMS) and perform market analyses.
  • Collaborate to work in team to manage projects and lab experiment.


The course will cover the following topics:

Part 1: Power flow and economic operation
In this part, the following topics in power system economics and power flow solutions will be introduced:
  • Economic load dispatch
  • Unit commitment
  • Power flow solution algorithms for a large power system
  • Optimal power flow and applications
  • Fundamental of electricity market modelling and operations
Part 2: Power system stability analysis and improvement
In this part, analysis and improvement methods for the following main types of stability will be introduced:
  • Small-signal angle stability
  • Transient (large disturbances) angle stability
  • Short-term voltage stability
  • Long-term voltage stability


This course consists of 20 scheduled lectures (20x2 hours), 14 tutorials (14x2 hours), 1 laboratory experiment (1x2 hours), 7 computer project consultations (7x2 hours) and 1 demonstration (1x1 hour).


Lecture handouts will be distributed on the course website. Lectures are mainly based on the following text books:

[1] D.S. Kirschen, G. Strbac, "Fundamentals of Power System Economics", John Wiley and Sons, 2004.
[2] H. Saadat, "Power System Analysis", Third Edition, Mc Graw Hill, 2011.
[3] P. Kundur, "Power System Stability and Control", MacGraw-Hill Inc., 1994. (Very extensive book. Highly recommended.)
[4] T.V. Cutsem and C. Vournas, "Voltage Stability of Electric Power Systems", Springer, 2008.

Examination including compulsory elements

The examination is based on a traditional "closed-book" written exam, project reports and laboratory experiment report. The results are reported separately for the exam (5 credits) and the computer projects (2.5 credits). Both exam and computer projects will be graded with normal grades of 5, 4, 3 and U (fail). However, for the exam grade to be reported, the participation in the laboratory experiment and the approved laboratory report are required.

Page manager Published: Thu 04 Feb 2021.