EJ2311 Modulation of Power Electronic Converters 6.0 credits

Effektelektronisk modulation

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).

  • Education cycle

    Second cycle
  • Main field of study

    Electrical Engineering
  • Grading scale

    P, F

Course offerings

Spring 19 for programme students

Spring 19 Doktorand for single courses students

  • Periods

    Spring 19 P3 (6.0 credits)

  • Application code


  • Start date


  • End date


  • Language of instruction


  • Campus

    KTH Campus

  • Tutoring time


  • Form of study


  • Number of places *

    Max. 1

    *) If there are more applicants than number of places selection will be made.

  • Course responsible

    Staffan Norrga <norrga@kth.se>

  • Target group

    For doctoral students at KTH

Spring 20 for programme students

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 main content

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.


Lectures 16 h
Computer excercises 8 h
Laboratory work 4 h

The course is given in English.


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.


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


  • LAB1 - Laboratory Work, 1.0, grading scale: P, F
  • PRO1 - Project, 1.5, grading scale: P, F
  • PRO2 - Project, 1.5, grading scale: P, F
  • TEN1 - Examination, 2.0, grading scale: P, F

Requirements for final grade

Projects and laboratory reports, written examination

Offered by

EECS/Electrical Energy Engineering


Staffan Norrga


Staffan Norrga <norrga@kth.se>


Course syllabus valid from: Spring 2019.
Examination information valid from: Spring 2019.