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Graduate courses

Departments' graduate courses for PhD-students.


Syllabus for

Academic year
ENM050 - Power system analysis
Syllabus adopted 2015-02-11 by Head of Programme (or corresponding)
Owner: MPEPO
7,5 Credits
Grading: TH - Five, Four, Three, Not passed
Education cycle: Second-cycle
Major subject: Electrical Engineering

The current course round has limited places. Please contact the student center if you are not able to add the course to your selection.
Teaching language: English
Open for exchange students
Block schedule: B
Maximum participants: 70

Course module   Credit distribution   Examination dates
Sp1 Sp2 Sp3 Sp4 Summer course No Sp
0107 Examination 7,5 c Grading: TH   7,5 c   30 Oct 2015 pm V,  05 Jan 2016 pm H,  18 Aug 2016 am M

In programs

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


Docent  Peiyuan Chen


EEK185   Power system design

  Go to Course Homepage


In order to be eligible for a second cycle course the applicant needs to fulfil the general and specific entry requirements of the programme that owns the course. (If the second cycle course is owned by a first cycle programme, second cycle entry requirements apply.)
Exemption from the eligibility requirement: Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling these requirements.

Course specific prerequisites

Basic electrical engineering courses, or equivalent.


The main aim of this course is that students should develop and demonstrate their knowledge and capability to analyze power system under steady-state conditions using theoretical methods and simulation tools. The steady-state analysis includes the development of mathematical models of main power system components and the evaluation of large-scale power systems in both normal and faulted operating conditions.

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 principle. 

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

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

4. Formulate network admittance matrix of a large power system and calculate voltages and power flows in a large power system by using Newton-Raphson algorithm. 

5. Explain standard methods and corresponding principles of voltage control and power flow control in a large power system. 

6. Model and analyze the power systems in faulted conditions based on symmetrical components and sequence networks. 

7. Apply the above knowledge to design a small practical transmission network subject to normal operating, economic and reliability (contingency) constraints using offline power system simulation software. Document the work in a scientific report and present the design and control measures of your proposed power systems. 

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


The course is composed of lectures, tutorials, a computer-based project, and two laboratory exercises. The course covers the following topics. The indicated chapters refer to the course textbook by Hadi Saadat (see literature). 

1. Two-Bus Power System: Introduction; voltage drop calculation; two-port power flow equations; relation between voltage, transmission angle, active power and reactive power; power circle diagram. 

2. Power Transformers: The ideal transformer; Equivalent circuits for practical transformers; Three-phase transformer connections and phase shift;Tap-changing transformers; Regulation transformers (boosters). Per-unit system. Chp. 3.5 - 3.14  

3. 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; Reactive power compensation techniques. Chp. 4, Chp 5 

4. Network matrices and power flow analysis: Bus admittance matrix, power flow equations; Power flow solution using Newton-Raphson method; Control measures for voltages and power flow, application of FACTS devices. Chp. 6 

5. Symmetrical (balanced) faults: Thevenin equivalent method; Bus impedance matrix method. Chp. 9 

6. Symmetrical components and sequence impedance: Definition of symmetrical components; Sequence impedances: transmission lines, transformers, synchronous machines. Chp. 10.1 - 10.3 

7.Analysis of unbalanced faults: system representation; single Line-to-Ground fault, Line-to-Line fault, double Line-to-Ground fault. Chp. 10.4 -10.8


This course consists of scheduled lectures (19x2 hours), tutorials (13x2 hours) and project consultation (6x2 hours), laboratory demonstration (2x1 hour).
In the project, the students will design a small power system for power-flow calculations. The design is done using standard power-flow software PSS/E. Several operating conditions in both normal steady-state and various contingency conditions are to be enforced for a successful design.
In the first laboratory exercise, different loading conditions of a transmission line are demonstrated. In the second laboratory exercise, fault currents are measured and analyzed for different types of balanced and unbalanced short-circuit conditions on the transmission line.


The following book is the main textbook used throughout the course. Additional materials will be provided during lectures and/or be made available on the course homepage.

H. Saadat, "Power System Analysis", 3rd edition, PSA Publishing, 2010


The examination is based on the project report and the 'closed-book' written exam. Only Chalmers approved calculators can be used in examination: Casio FX82..., Texas TI30..., Sharp ELW531.... 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 the two lab demonstrations is compulsory in order to pass the course. The final grade will be 5, 4, 3 or U (fail).

Page manager Published: Thu 04 Feb 2021.