Skip to main content
Till KTH:s startsida

EJ2311 Modulation of Power Electronic Converters 6.0 credits

Modulation of power converters plays a decisive role in modern power electronics, where low losses as well as dynamic requirements, harmonics, and electromagnetic interference (EMI) are of great importance. The purpose of the course is to provide a solid working understanding of modern synthesis and analysis methods of modulation for voltage source converters.

Information per course offering

Termin

Information for Spring 2026 Start 13 Jan 2026 programme students

Course location

KTH Campus

Duration
13 Jan 2026 - 13 Mar 2026
Periods

Spring 2026: P3 (6 hp)

Pace of study

50%

Application code

60866

Form of study

Normal Daytime

Language of instruction

English

Course memo
Course memo is not published
Number of places

Places are not limited

Target group
Open for all master programmes as long as it can be included in your programme.
Planned modular schedule
[object Object]

Contact

Examiner
No information inserted
Course coordinator
No information inserted
Teachers
No information inserted

Course syllabus as PDF

Please note: all information from the Course syllabus is available on this page in an accessible format.

Course syllabus EJ2311 (Spring 2026–)
Headings with content from the Course syllabus EJ2311 (Spring 2026–) are denoted with an asterisk ( )

Content and learning outcomes

Course disposition

Lectures

There are eight two-hour lectures. Attendance is not compulsory but should be a good help in understanding the contents of the course. Lectures are given in English. To get the best benefit from the lectures it is strongly advised to read the relevant parts of the course book in advance.

Tutorials

During the course six two-hour tutorials will be given. The main objective of the tutorials is to show how problems can be solved and to prepare for the written examination. Typically, the problems are solved by a teaching assistant in interaction with the students.

Computer exercises

There are two computer assignments demonstrating the use of computers and numerical methods in the synthesis and analysis of converter modulation patterns. Ahead of the first assignment, a preparatory work must be carried out. The preparatory work is handed out during the first lecture and should be handed in at the beginning of the first computer assignment. The results from the two computer assignment are to be uploaded to canvas for examination. Each report will be discussed in an oral session of approximately 30 minutes. Both reports must be judged passed to fulfil the course requirements.

Laboratory exercise (compulsory)

There is one laboratory exercise demonstrating practical aspects of power converter modulation. The laboratory report must be judged passed to complete the course requirements.

Course contents

  • Fourier series expansions to analyze arbitrary periodic signals in the frequency domain. Waveform symmetries to identify and characterize spectral components in periodic signals.
  • Analysis of three-phase systems by symmetric components.
  • Figures of merit to quantify the harmonic distortion of periodic signals.
  • Carrier-based pulse width modulators (PWM) for single and polyphase voltage source converters.
  • Fourier analysis of carrier PWM by double fourier series expansion.
  • Simple space vector modulators.
  • Selective harmonic elimination methods.
  • Direct torque control systems (DTC).
  • Multi-level power converter topologies.
  • Multilevel modulation methods.

Intended learning outcomes

After passing the course, the student shall be able to

  • compute the harmonics resulting from different modulation schemes and its impact on different connected loads and sources
  • solve problems related to the selection and adaptation of pulse-width modulation schemes to meet common performance criteria
  • analyze modulation schemes using modern numeric computer tools and EMT simulators and explain their solutions.

Literature and preparations

Specific prerequisites

Knowledge in power electronics, 6 credits, equivalent to completed course EJ2301.

At least one of the following:

  • Knowledge in continuous-time signals and systems, 6 credits, equivalent to completed course EQ1110/HF1011/II1303/CM2013/SD2125.
  • Knowledge in differential equations and transform methods, 6 credits, equivalent to completed course SF1523/SF1633/SF1682/SF1683.

Recommended prerequisites

Knowledge in power electronics, 6 hp, corresponding to completion of EJ2301

AND at least one of the following:

Knowledge in time-continouos signals and systems, 6 hp, corresponding to completion of EQ1110/HF1011/II1303/CM2013/SD2125

OR

Knowledge in differential equations and transform methods, 6 hp, corresponding to completion of SF1523/SF1633/SF1682/SF1683

Literature

You can find information about course literature either in the course memo for the course offering or in the course room in Canvas.

Examination and completion

Grading scale

P, F

Examination

  • LAB1 - Laboratory Work, 1.0 credits, grading scale: P, F
  • PROA - Computer Assignment, 1.0 credits, grading scale: P, F
  • PROB - Computer Assignment, 1.0 credits, grading scale: P, F
  • TENA - Written Exam, 3.0 credits, grading scale: A, B, C, D, E, FX, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

If the course is discontinued, students may request to be examined during the following two academic years.

Examiner

Ethical approach

  • All members of a group are responsible for the group's work.
  • In any assessment, every student shall honestly disclose any help received and sources used.
  • In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

Further information

Course room in Canvas

Registered students find further information about the implementation of the course in the course room in Canvas. A link to the course room can be found under the tab Studies in the Personal menu at the start of the course.

Offered by

Main field of study

Electrical Engineering

Education cycle

Second cycle

Supplementary information

In this course, the EECS code of honor applies, see: http://www.kth.se/en/eecs/utbildning/hederskodex.