EJ3311 Modulation of Power Electronic Converters 8.0 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

    Third cycle
  • Main field of study

  • Grading scale

    P, F

Course offerings

Spring 19 for programme students

  • Periods

    Spring 19 P3 (8.0 credits)

  • Application code


  • Start date


  • End date


  • Language of instruction


  • Campus

    KTH Campus

  • Tutoring time


  • Form of study


  • Number of places

    No limitation

Information for research students about course offerings

Given in connection with EJ2311 every year P3

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 hours, computer exercises 8 hours, Laboratory work 4 hours,55 hours individualized project


Recommended prerequisites

EJ2200 Electrical machines and drives and EJ2300 Power Electronics.


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


  • EXA1 - Examination, 8.0, grading scale: P, F

The individualized project should preferably be linked to the student’s own research.

Requirements for final grade

Projects and laboratory reports

Written examination

Offered by

EECS/Electric Power and Energy Systems


Hans-Peter Nee


Hans-Peter Nee <hansi@kth.se>

Staffan Norrga <norrga@kth.se>


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