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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 dynamical requirements, harmonics and electromagnetic interference (EMI) are of great importance. The course covers synthesis and analysis of modulation methods for Voltage Source Converters (VSC).

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Headings with content from the Course syllabus EJ2311 (Spring 2019–) are denoted with an asterisk ( )

Content and learning outcomes

Course contents

Circuit modelling, fundamental mathematics, Harmonics in single-phase and three-phase systems. Survey of modulation principles. Relation between modulation and the development of power-semiconductors. Carrier-based methods, SPWM and space vector modulation. Influence of sampling. Fixed pulse-patterns, harmonic elimination. Tolerance band modulation. Harmonics in power systems and electric railway traction, norms and standards. Influence of harmonics on electrical machines. Survey of harmonic filters.

Intended learning outcomes

After the examination the student should be able to

  • Define fundamental concepts in pulse-width modulation
  • Describe differences between different principles of modulation  regarding properties such as harmonics and dynamic conditions
  • Know different carrier based modulation methods and their synthesis.
  • Use different methods for analysis of carrier based modulation methods
  • Calculate pulse-patterns for harmonic elimination
  • Estimate stray losses in electrical machines due to harmonics.

Course disposition

Lectures 16 h
Computer excercises 8 h
Laboratory work 4 h

The course is given in English.

Literature and preparations

Specific prerequisites

Completed Bachelor's degree (180 higher education credits), or equivalent academic qualifications. Documented proficiency in English corresponding to English B/English 6.

Recommended prerequisites

EJ2200 Electrical machines and drives and EJ2300 Power Electronics.


No information inserted


D. G. Holmes, T. Lipo., “Pulse Width Modulation for Power Converters”. Wiley Interscience.

Examination and completion

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

Grading scale

P, F


  • LAB1 - Laboratory Work, 1,0 hp, betygsskala: P, F
  • PRO1 - Project, 1,5 hp, betygsskala: P, F
  • PRO2 - Project, 1,5 hp, betygsskala: P, F
  • TEN1 - Examination, 2,0 hp, betygsskala: P, 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.

Other requirements for final grade

Projects and laboratory reports, written examination

Opportunity to complete the requirements via supplementary examination

No information inserted

Opportunity to raise an approved grade via renewed examination

No information inserted


Profile picture Staffan Norrga

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 web

Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.

Course web EJ2311

Offered by

EECS/Electrical Engineering

Main field of study

Electrical Engineering

Education cycle

Second cycle

Add-on studies

No information inserted


Staffan Norrga

Supplementary information

In this course, the EECS code of honor applies, see: