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Graduate courses

Departments' graduate courses for PhD-students.


Syllabus for

Academic year
ENM051 - Power system analysis and control
Analys och kontroll av elkraftsystem
Syllabus adopted 2020-02-14 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: 21121
Open for exchange students: Yes
Block schedule: B+
Maximum participants: 70

Module   Credit distribution   Examination dates
Sp1 Sp2 Sp3 Sp4 Summer course No Sp
0118 Examination 7,5c Grading: TH   7,5c   26 Oct 2020 am J   05 Jan 2021 pm J,  19 Aug 2021 am J

In programs

TIELL ELECTRICAL ENGINEERING - Electrical Engineering, Year 3 (compulsory elective)


Peiyuan Chen

  Go to Course Homepage


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

See eligibility


The main aim of this course is that students should develop and demonstrate their knowledge and capability to model major power system components in order to analyze and control the voltage, frequency and power flow of a simple power system under steady-state and dynamic conditions using theoretical methods, simulation tools and laboratory setups.

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

1. Perform basic state evaluation of a small network using phasor-diagram, loss summation and two-port equations methods, and explain basic voltage control principles. 

2. Model major components of power systems: three-phase power transformers, short-, medium- and long-transmission lines, loads, generators, and reactive power compensation elements. Analyze the impact of different loading conditions on a transmission line. 

3. Describe and use per unit system to perform studies in power systems.

4. Explain and implement different means for voltage control and reactive power compensation in a power system.

5. Explain and implement different stages of frequency control and corresponding active reserves in a power system.

6. Model and analyze the power systems under a balanced fault condition and explain the meaning of grid short circuit capacity

7. Apply the above knowledge to analyze a small practical transmission network under normal and faulted operating conditions using offline power system simulation software. Document and present the results with appropriate analysis.

8. Collaborate and work in a team with different backgrounds for the computer and lab project as well as for other occasions throughout the course. 

9. Argue different ethical aspects that need to be considered in the design and operation of electric power systems.


1 Power System Basics: Introduction, N-1 criteria and Reliability; Substation layout; power system loads. 

2 Two-Bus Power System: voltage drop calculation; two-port power flow equations; relation between voltage magnitude, voltage angle, active power and reactive power.

3 Power Transformers: The ideal transformer; Shell/core types, Equivalent circuits for practical transformers; Three-phase transformer connections and phase shift; Per-unit system; Autotransformer; Three-winding transformer.

4 Transmission line modelling: RLC calculation of a transmission line; Short, medium, and long transmission line modelling; Important loading conditions of a long transmission line; Transmission capability and limitations of a long transmission line; Basics of cables.

5 Voltage control and reactive power compensation in power systems: ZIP load models, Reactive power compensation techniques; Switched capacitors/reactors, Tap-changing transformer; Excitation control.

6 Frequency control and active reserves in power systems: load frequency dependence; swing equation and inertial response; primary frequency control; secondary frequency control; Regulating transformer (booster).

7 Symmetrical (balanced) faults: Thevenin equivalent method; Short circuit capacity.


This course includes scheduled lectures, tutorials, project consultations and laboratory work. 


The following books are the main textbooks used throughout the course.

Hadi Saadat, Power System Analysis, 3rd Edition, PSA Publishing, 2010
Prabha Kundur, Power System Stability and Control, McGraw-Hill, Inc., 1993

The textbooks are available at Cremona ( at the Student Union. The textbooks contain essential materials for the course. It should, however, not be viewed as the only source of information needed to prepare for the examination. Additional materials will be provided during lectures and/or be made available on the course homepage.

Examination including compulsory elements

Closed-book examinations. The examination is based on the project work and the 'closed-book' written exam. The distribution of the final grade will be: i) project (20%), and ii) exam (80%). You will have to pass both in order to pass the course. The participation in all the laboratory demonstration and exercises is compulsory in order to pass the course. The final grade will be 5, 4, 3 and U (fail). 

Page manager Published: Thu 04 Feb 2021.